0.858 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.231 * * * [progress]: [2/2] Setting up program. 0.237 * [progress]: [Phase 2 of 3] Improving. 0.238 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.241 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.242 * * [simplify]: iteration 0: 6 enodes 0.249 * * [simplify]: iteration 1: 13 enodes 0.253 * * [simplify]: iteration 2: 16 enodes 0.258 * * [simplify]: iteration 3: 20 enodes 0.263 * * [simplify]: iteration 4: 24 enodes 0.270 * * [simplify]: iteration 5: 29 enodes 0.277 * * [simplify]: iteration 6: 31 enodes 0.281 * * [simplify]: iteration complete: 31 enodes 0.281 * * [simplify]: Extracting #0: cost 1 inf + 0 0.282 * * [simplify]: Extracting #1: cost 9 inf + 0 0.282 * * [simplify]: Extracting #2: cost 14 inf + 0 0.282 * * [simplify]: Extracting #3: cost 11 inf + 43 0.282 * * [simplify]: Extracting #4: cost 2 inf + 860 0.283 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.283 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.285 * * [progress]: iteration 1 / 4 0.285 * * * [progress]: picking best candidate 0.290 * * * * [pick]: Picked # 0.291 * * * [progress]: localizing error 0.487 * * * [progress]: generating rewritten candidates 0.488 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.572 * * * [progress]: generating series expansions 0.572 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.581 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.581 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.582 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.582 * [taylor]: Taking taylor expansion of -1 in n 0.582 * [backup-simplify]: Simplify -1 into -1 0.583 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.583 * [taylor]: Taking taylor expansion of (+ n f) in n 0.583 * [taylor]: Taking taylor expansion of n in n 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [taylor]: Taking taylor expansion of f in n 0.583 * [backup-simplify]: Simplify f into f 0.583 * [taylor]: Taking taylor expansion of (- f n) in n 0.583 * [taylor]: Taking taylor expansion of f in n 0.583 * [backup-simplify]: Simplify f into f 0.583 * [taylor]: Taking taylor expansion of n in n 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (+ 0 f) into f 0.585 * [backup-simplify]: Simplify (- 0) into 0 0.585 * [backup-simplify]: Simplify (+ f 0) into f 0.585 * [backup-simplify]: Simplify (/ f f) into 1 0.585 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.585 * [taylor]: Taking taylor expansion of -1 in f 0.585 * [backup-simplify]: Simplify -1 into -1 0.585 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.585 * [taylor]: Taking taylor expansion of (+ n f) in f 0.585 * [taylor]: Taking taylor expansion of n in f 0.585 * [backup-simplify]: Simplify n into n 0.585 * [taylor]: Taking taylor expansion of f in f 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [taylor]: Taking taylor expansion of (- f n) in f 0.585 * [taylor]: Taking taylor expansion of f in f 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [taylor]: Taking taylor expansion of n in f 0.585 * [backup-simplify]: Simplify n into n 0.585 * [backup-simplify]: Simplify (+ n 0) into n 0.585 * [backup-simplify]: Simplify (- n) into (- n) 0.585 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.585 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.586 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.586 * [taylor]: Taking taylor expansion of -1 in f 0.586 * [backup-simplify]: Simplify -1 into -1 0.586 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.586 * [taylor]: Taking taylor expansion of (+ n f) in f 0.586 * [taylor]: Taking taylor expansion of n in f 0.586 * [backup-simplify]: Simplify n into n 0.586 * [taylor]: Taking taylor expansion of f in f 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.586 * [taylor]: Taking taylor expansion of (- f n) in f 0.586 * [taylor]: Taking taylor expansion of f in f 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.586 * [taylor]: Taking taylor expansion of n in f 0.586 * [backup-simplify]: Simplify n into n 0.586 * [backup-simplify]: Simplify (+ n 0) into n 0.586 * [backup-simplify]: Simplify (- n) into (- n) 0.586 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.586 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.588 * [backup-simplify]: Simplify (* -1 -1) into 1 0.588 * [taylor]: Taking taylor expansion of 1 in n 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify 1 into 1 0.589 * [backup-simplify]: Simplify (+ 0 1) into 1 0.589 * [backup-simplify]: Simplify (- 0) into 0 0.590 * [backup-simplify]: Simplify (+ 1 0) into 1 0.590 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.591 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.591 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.591 * [taylor]: Taking taylor expansion of 2 in n 0.591 * [backup-simplify]: Simplify 2 into 2 0.591 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.591 * [taylor]: Taking taylor expansion of n in n 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (/ 1 1) into 1 0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (- 0) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.596 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.597 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.597 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.597 * [taylor]: Taking taylor expansion of 2 in n 0.597 * [backup-simplify]: Simplify 2 into 2 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.597 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.597 * [taylor]: Taking taylor expansion of n in n 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (* 1 1) into 1 0.599 * [backup-simplify]: Simplify (/ 1 1) into 1 0.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.604 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [backup-simplify]: Simplify (- 0) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [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)))) 0.610 * [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))) 0.610 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.610 * [taylor]: Taking taylor expansion of 2 in n 0.610 * [backup-simplify]: Simplify 2 into 2 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.610 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.610 * [taylor]: Taking taylor expansion of n in n 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (* 1 1) into 1 0.611 * [backup-simplify]: Simplify (* 1 1) into 1 0.621 * [backup-simplify]: Simplify (/ 1 1) into 1 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.632 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.632 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.632 * [taylor]: Taking taylor expansion of -1 in n 0.632 * [backup-simplify]: Simplify -1 into -1 0.632 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.632 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.633 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.633 * [taylor]: Taking taylor expansion of f in n 0.633 * [backup-simplify]: Simplify f into f 0.633 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.633 * [taylor]: Taking taylor expansion of (/ 1 n) 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 0.634 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.634 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.634 * [taylor]: Taking taylor expansion of f in n 0.634 * [backup-simplify]: Simplify f into f 0.634 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.634 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.634 * [taylor]: Taking taylor expansion of n in n 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [backup-simplify]: Simplify (/ 1 1) into 1 0.635 * [backup-simplify]: Simplify (+ 0 1) into 1 0.635 * [backup-simplify]: Simplify (- 1) into -1 0.636 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.636 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.636 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.636 * [taylor]: Taking taylor expansion of -1 in f 0.636 * [backup-simplify]: Simplify -1 into -1 0.636 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.636 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.636 * [taylor]: Taking taylor expansion of f in f 0.636 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify (/ 1 1) into 1 0.637 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.637 * [taylor]: Taking taylor expansion of n in f 0.637 * [backup-simplify]: Simplify n into n 0.637 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.637 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.637 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.637 * [taylor]: Taking taylor expansion of f in f 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.638 * [backup-simplify]: Simplify (/ 1 1) into 1 0.638 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.638 * [taylor]: Taking taylor expansion of n in f 0.638 * [backup-simplify]: Simplify n into n 0.638 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.638 * [backup-simplify]: Simplify (+ 1 0) into 1 0.639 * [backup-simplify]: Simplify (+ 1 0) into 1 0.639 * [backup-simplify]: Simplify (/ 1 1) into 1 0.639 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.639 * [taylor]: Taking taylor expansion of -1 in f 0.639 * [backup-simplify]: Simplify -1 into -1 0.639 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.639 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.639 * [taylor]: Taking taylor expansion of f in f 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.640 * [backup-simplify]: Simplify (/ 1 1) into 1 0.640 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.640 * [taylor]: Taking taylor expansion of n in f 0.640 * [backup-simplify]: Simplify n into n 0.640 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.640 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.640 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.640 * [taylor]: Taking taylor expansion of f in f 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [backup-simplify]: Simplify (/ 1 1) into 1 0.640 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.640 * [taylor]: Taking taylor expansion of n in f 0.640 * [backup-simplify]: Simplify n into n 0.641 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.641 * [backup-simplify]: Simplify (+ 1 0) into 1 0.641 * [backup-simplify]: Simplify (+ 1 0) into 1 0.642 * [backup-simplify]: Simplify (/ 1 1) into 1 0.642 * [backup-simplify]: Simplify (* -1 1) into -1 0.642 * [taylor]: Taking taylor expansion of -1 in n 0.642 * [backup-simplify]: Simplify -1 into -1 0.642 * [backup-simplify]: Simplify -1 into -1 0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.644 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.645 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.645 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.645 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.645 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.645 * [taylor]: Taking taylor expansion of 2 in n 0.645 * [backup-simplify]: Simplify 2 into 2 0.645 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.645 * [taylor]: Taking taylor expansion of n in n 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.646 * [backup-simplify]: Simplify (/ 1 1) into 1 0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.648 * [backup-simplify]: Simplify (- 0) into 0 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.649 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.651 * [backup-simplify]: Simplify (- 0) into 0 0.651 * [backup-simplify]: Simplify (+ 0 0) into 0 0.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.653 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.653 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.653 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.653 * [taylor]: Taking taylor expansion of 2 in n 0.653 * [backup-simplify]: Simplify 2 into 2 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.653 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.653 * [taylor]: Taking taylor expansion of n in n 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (* 1 1) into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.659 * [backup-simplify]: Simplify (- 0) into 0 0.659 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.662 * [backup-simplify]: Simplify (- 0) into 0 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.664 * [backup-simplify]: Simplify (+ 0 0) into 0 0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.665 * [backup-simplify]: Simplify (- 0) into 0 0.665 * [backup-simplify]: Simplify (+ 0 0) into 0 0.667 * [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))) 0.668 * [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)))) 0.668 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.668 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.668 * [taylor]: Taking taylor expansion of 2 in n 0.668 * [backup-simplify]: Simplify 2 into 2 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.668 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.668 * [taylor]: Taking taylor expansion of n in n 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify (* 1 1) into 1 0.669 * [backup-simplify]: Simplify (* 1 1) into 1 0.669 * [backup-simplify]: Simplify (/ 1 1) into 1 0.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.678 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.678 * [backup-simplify]: Simplify (- 0) into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify -1 into -1 0.678 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.678 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.679 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.679 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.679 * [taylor]: Taking taylor expansion of f in n 0.679 * [backup-simplify]: Simplify f into f 0.679 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.679 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.679 * [taylor]: Taking taylor expansion of n in n 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (/ 1 1) into 1 0.679 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.679 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.679 * [taylor]: Taking taylor expansion of n in n 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify (/ 1 1) into 1 0.680 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.680 * [taylor]: Taking taylor expansion of f in n 0.680 * [backup-simplify]: Simplify f into f 0.680 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.680 * [backup-simplify]: Simplify (+ 0 1) into 1 0.681 * [backup-simplify]: Simplify (+ 1 0) into 1 0.681 * [backup-simplify]: Simplify (/ 1 1) into 1 0.681 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.681 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.681 * [taylor]: Taking taylor expansion of f in f 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (/ 1 1) into 1 0.682 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.682 * [taylor]: Taking taylor expansion of n in f 0.682 * [backup-simplify]: Simplify n into n 0.682 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.682 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.682 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.682 * [taylor]: Taking taylor expansion of n in f 0.682 * [backup-simplify]: Simplify n into n 0.682 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.682 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.682 * [taylor]: Taking taylor expansion of f in f 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (/ 1 1) into 1 0.683 * [backup-simplify]: Simplify (+ 1 0) into 1 0.683 * [backup-simplify]: Simplify (- 1) into -1 0.683 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.684 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.684 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.684 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.684 * [taylor]: Taking taylor expansion of f in f 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (/ 1 1) into 1 0.684 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.684 * [taylor]: Taking taylor expansion of n in f 0.684 * [backup-simplify]: Simplify n into n 0.685 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.685 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.685 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.685 * [taylor]: Taking taylor expansion of n in f 0.685 * [backup-simplify]: Simplify n into n 0.685 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.685 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.685 * [taylor]: Taking taylor expansion of f in f 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (/ 1 1) into 1 0.686 * [backup-simplify]: Simplify (+ 1 0) into 1 0.686 * [backup-simplify]: Simplify (- 1) into -1 0.686 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.687 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.687 * [taylor]: Taking taylor expansion of -1 in n 0.687 * [backup-simplify]: Simplify -1 into -1 0.687 * [backup-simplify]: Simplify -1 into -1 0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (- 0) into 0 0.689 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.689 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.689 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.689 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.689 * [taylor]: Taking taylor expansion of 2 in n 0.689 * [backup-simplify]: Simplify 2 into 2 0.689 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.689 * [taylor]: Taking taylor expansion of n in n 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.692 * [backup-simplify]: Simplify (- 0) into 0 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.695 * [backup-simplify]: Simplify (- 0) into 0 0.695 * [backup-simplify]: Simplify (+ 0 0) into 0 0.696 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.696 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.696 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.696 * [taylor]: Taking taylor expansion of 2 in n 0.696 * [backup-simplify]: Simplify 2 into 2 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.696 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.697 * [taylor]: Taking taylor expansion of n in n 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (* 1 1) into 1 0.697 * [backup-simplify]: Simplify (/ 1 1) into 1 0.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.703 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.703 * [backup-simplify]: Simplify (- 0) into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.705 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.706 * [backup-simplify]: Simplify (- 0) into 0 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.707 * [backup-simplify]: Simplify (+ 0 0) into 0 0.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.709 * [backup-simplify]: Simplify (- 0) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [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)))) 0.711 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.711 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.711 * [taylor]: Taking taylor expansion of 2 in n 0.711 * [backup-simplify]: Simplify 2 into 2 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.711 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.711 * [taylor]: Taking taylor expansion of n in n 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (* 1 1) into 1 0.712 * [backup-simplify]: Simplify (* 1 1) into 1 0.712 * [backup-simplify]: Simplify (/ 1 1) into 1 0.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (- 0) into 0 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify -1 into -1 0.723 * * * [progress]: simplifying candidates 0.723 * * * * [progress]: [ 1 / 101 ] simplifiying candidate # 0.723 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 0.723 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 0.723 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 0.723 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 0.723 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 0.723 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 0.723 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 0.723 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 0.723 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 0.724 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 0.724 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 0.724 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 0.724 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 0.724 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 0.724 * * * * [progress]: [ 16 / 101 ] simplifiying candidate # 0.724 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 0.724 * * * * [progress]: [ 18 / 101 ] simplifiying candidate # 0.724 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 0.724 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 0.724 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 0.724 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 0.724 * * * * [progress]: [ 23 / 101 ] simplifiying candidate # 0.724 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 0.724 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 0.725 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 0.725 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 0.725 * * * * [progress]: [ 28 / 101 ] simplifiying candidate # 0.725 * * * * [progress]: [ 29 / 101 ] simplifiying candidate # 0.725 * * * * [progress]: [ 30 / 101 ] simplifiying candidate # 0.725 * * * * [progress]: [ 31 / 101 ] simplifiying candidate # 0.725 * * * * [progress]: [ 32 / 101 ] simplifiying candidate # 0.725 * * * * [progress]: [ 33 / 101 ] simplifiying candidate # 0.725 * * * * [progress]: [ 34 / 101 ] simplifiying candidate # 0.725 * * * * [progress]: [ 35 / 101 ] simplifiying candidate # 0.725 * * * * [progress]: [ 36 / 101 ] simplifiying candidate # 0.725 * * * * [progress]: [ 37 / 101 ] simplifiying candidate # 0.725 * * * * [progress]: [ 38 / 101 ] simplifiying candidate # 0.725 * * * * [progress]: [ 39 / 101 ] simplifiying candidate # 0.725 * * * * [progress]: [ 40 / 101 ] simplifiying candidate # 0.725 * * * * [progress]: [ 41 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 42 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 43 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 45 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 46 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 47 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 48 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 49 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 50 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 51 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 52 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 53 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 54 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 55 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 56 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 57 / 101 ] simplifiying candidate # 0.726 * * * * [progress]: [ 58 / 101 ] simplifiying candidate # 0.727 * * * * [progress]: [ 59 / 101 ] simplifiying candidate # 0.727 * * * * [progress]: [ 60 / 101 ] simplifiying candidate # 0.727 * * * * [progress]: [ 61 / 101 ] simplifiying candidate # 0.727 * * * * [progress]: [ 62 / 101 ] simplifiying candidate # 0.727 * * * * [progress]: [ 63 / 101 ] simplifiying candidate # 0.727 * * * * [progress]: [ 64 / 101 ] simplifiying candidate # 0.727 * * * * [progress]: [ 65 / 101 ] simplifiying candidate # 0.727 * * * * [progress]: [ 66 / 101 ] simplifiying candidate # 0.727 * * * * [progress]: [ 67 / 101 ] simplifiying candidate # 0.727 * * * * [progress]: [ 68 / 101 ] simplifiying candidate # 0.727 * * * * [progress]: [ 69 / 101 ] simplifiying candidate # 0.727 * * * * [progress]: [ 70 / 101 ] simplifiying candidate # 0.727 * * * * [progress]: [ 71 / 101 ] simplifiying candidate # 0.727 * * * * [progress]: [ 72 / 101 ] simplifiying candidate # 0.727 * * * * [progress]: [ 73 / 101 ] simplifiying candidate # 0.728 * * * * [progress]: [ 74 / 101 ] simplifiying candidate # 0.728 * * * * [progress]: [ 75 / 101 ] simplifiying candidate # 0.728 * * * * [progress]: [ 76 / 101 ] simplifiying candidate # 0.728 * * * * [progress]: [ 77 / 101 ] simplifiying candidate # 0.728 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 0.728 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 0.728 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 0.728 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 0.728 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 0.728 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 0.728 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 0.728 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 0.728 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 0.728 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 0.728 * * * * [progress]: [ 88 / 101 ] simplifiying candidate # 0.728 * * * * [progress]: [ 89 / 101 ] simplifiying candidate # 0.729 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 0.729 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 0.729 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 0.729 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 0.729 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 0.729 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 0.729 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 0.729 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 0.729 * * * * [progress]: [ 98 / 101 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))> 0.729 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 0.729 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 0.729 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 0.731 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (real->posit16 (/ (- (+ f n)) (- f n))) 1 -1 -1 0.734 * * [simplify]: iteration 0: 136 enodes 0.803 * * [simplify]: iteration 1: 317 enodes 0.903 * * [simplify]: iteration 2: 709 enodes 1.179 * * [simplify]: iteration 3: 2259 enodes 2.441 * * [simplify]: iteration complete: 5012 enodes 2.441 * * [simplify]: Extracting #0: cost 89 inf + 0 2.442 * * [simplify]: Extracting #1: cost 456 inf + 3 2.447 * * [simplify]: Extracting #2: cost 795 inf + 9176 2.469 * * [simplify]: Extracting #3: cost 671 inf + 94168 2.518 * * [simplify]: Extracting #4: cost 247 inf + 197335 2.586 * * [simplify]: Extracting #5: cost 85 inf + 232507 2.686 * * [simplify]: Extracting #6: cost 9 inf + 244526 2.791 * * [simplify]: Extracting #7: cost 0 inf + 246803 2.883 * [simplify]: Simplified to: (expm1 (- (/ (+ n f) (- f n)))) (log1p (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (exp (- (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (* (- (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n))))) (cbrt (- (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (* (- (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) (sqrt (- (/ (+ n f) (- f n)))) (sqrt (- (/ (+ n f) (- f n)))) (+ n f) (- (- f n)) 0 (/ (+ n f) (- f n)) (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (sqrt (- f n))) (/ (cbrt (- (+ n f))) (sqrt (- f n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (cbrt (- (+ n f))) (/ (+ (sqrt n) (sqrt f)) (cbrt (- (+ n f))))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (/ (sqrt (- (+ n f))) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (sqrt (- f n))) (/ (cbrt (+ n f)) (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (cbrt (- f n))) (/ (sqrt (+ n f)) (cbrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (- (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (sqrt (- f n))) (- (+ n f)) (- (/ (+ n f) (+ (sqrt n) (sqrt f)))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (- (/ (+ n f) (- (* (* f f) f) (* (* n n) n)))) (- (/ 1 (- f n))) (* (- f n) (fma (- n f) n (* f f))) (* (- f n) (- f n)) (real->posit16 (- (/ (+ n f) (- f n)))) 1 -1 -1 2.888 * * * [progress]: adding candidates to table 3.179 * * [progress]: iteration 2 / 4 3.179 * * * [progress]: picking best candidate 3.187 * * * * [pick]: Picked # 3.187 * * * [progress]: localizing error 3.207 * * * [progress]: generating rewritten candidates 3.207 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 3.234 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.285 * * * [progress]: generating series expansions 3.285 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 3.285 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 3.285 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 3.285 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 3.285 * [taylor]: Taking taylor expansion of (- f n) in n 3.285 * [taylor]: Taking taylor expansion of f in n 3.286 * [backup-simplify]: Simplify f into f 3.286 * [taylor]: Taking taylor expansion of n in n 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.286 * [taylor]: Taking taylor expansion of (+ n f) in n 3.286 * [taylor]: Taking taylor expansion of n in n 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.286 * [taylor]: Taking taylor expansion of f in n 3.286 * [backup-simplify]: Simplify f into f 3.287 * [backup-simplify]: Simplify (- 0) into 0 3.287 * [backup-simplify]: Simplify (+ f 0) into f 3.287 * [backup-simplify]: Simplify (+ 0 f) into f 3.287 * [backup-simplify]: Simplify (/ f f) into 1 3.287 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.287 * [taylor]: Taking taylor expansion of (- f n) in f 3.287 * [taylor]: Taking taylor expansion of f in f 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.287 * [taylor]: Taking taylor expansion of n in f 3.287 * [backup-simplify]: Simplify n into n 3.287 * [taylor]: Taking taylor expansion of (+ n f) in f 3.287 * [taylor]: Taking taylor expansion of n in f 3.287 * [backup-simplify]: Simplify n into n 3.287 * [taylor]: Taking taylor expansion of f in f 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (- n) into (- n) 3.287 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.287 * [backup-simplify]: Simplify (+ n 0) into n 3.287 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.287 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.287 * [taylor]: Taking taylor expansion of (- f n) in f 3.287 * [taylor]: Taking taylor expansion of f in f 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 1 into 1 3.288 * [taylor]: Taking taylor expansion of n in f 3.288 * [backup-simplify]: Simplify n into n 3.288 * [taylor]: Taking taylor expansion of (+ n f) in f 3.288 * [taylor]: Taking taylor expansion of n in f 3.288 * [backup-simplify]: Simplify n into n 3.288 * [taylor]: Taking taylor expansion of f in f 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 1 into 1 3.288 * [backup-simplify]: Simplify (- n) into (- n) 3.288 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.288 * [backup-simplify]: Simplify (+ n 0) into n 3.288 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.288 * [taylor]: Taking taylor expansion of -1 in n 3.288 * [backup-simplify]: Simplify -1 into -1 3.288 * [backup-simplify]: Simplify -1 into -1 3.289 * [backup-simplify]: Simplify (- 0) into 0 3.289 * [backup-simplify]: Simplify (+ 1 0) into 1 3.290 * [backup-simplify]: Simplify (+ 0 1) into 1 3.290 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 3.290 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.290 * [taylor]: Taking taylor expansion of 2 in n 3.290 * [backup-simplify]: Simplify 2 into 2 3.290 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.290 * [taylor]: Taking taylor expansion of n in n 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 1 into 1 3.290 * [backup-simplify]: Simplify (/ 1 1) into 1 3.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify (- 0) into 0 3.293 * [backup-simplify]: Simplify (+ 0 0) into 0 3.293 * [backup-simplify]: Simplify (+ 0 0) into 0 3.294 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 3.294 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.294 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.294 * [taylor]: Taking taylor expansion of 2 in n 3.294 * [backup-simplify]: Simplify 2 into 2 3.294 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.294 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.294 * [taylor]: Taking taylor expansion of n in n 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 1 into 1 3.294 * [backup-simplify]: Simplify (* 1 1) into 1 3.295 * [backup-simplify]: Simplify (/ 1 1) into 1 3.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.299 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.299 * [backup-simplify]: Simplify (- 0) into 0 3.299 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.301 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify (- 0) into 0 3.302 * [backup-simplify]: Simplify (+ 0 0) into 0 3.302 * [backup-simplify]: Simplify (+ 0 0) into 0 3.303 * [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))) 3.303 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.303 * [taylor]: Taking taylor expansion of 2 in n 3.303 * [backup-simplify]: Simplify 2 into 2 3.303 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.303 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.303 * [taylor]: Taking taylor expansion of n in n 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 1 into 1 3.303 * [backup-simplify]: Simplify (* 1 1) into 1 3.304 * [backup-simplify]: Simplify (* 1 1) into 1 3.304 * [backup-simplify]: Simplify (/ 1 1) into 1 3.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.313 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify -1 into -1 3.313 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 3.313 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 3.313 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 3.313 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.313 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.313 * [taylor]: Taking taylor expansion of f in n 3.313 * [backup-simplify]: Simplify f into f 3.314 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.314 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.314 * [taylor]: Taking taylor expansion of n in n 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.314 * [backup-simplify]: Simplify (/ 1 1) into 1 3.314 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.314 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.314 * [taylor]: Taking taylor expansion of f in n 3.314 * [backup-simplify]: Simplify f into f 3.314 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.314 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.314 * [taylor]: Taking taylor expansion of n in n 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (/ 1 1) into 1 3.315 * [backup-simplify]: Simplify (- 1) into -1 3.315 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.316 * [backup-simplify]: Simplify (+ 0 1) into 1 3.316 * [backup-simplify]: Simplify (/ -1 1) into -1 3.316 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.316 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.316 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.316 * [taylor]: Taking taylor expansion of f in f 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.317 * [backup-simplify]: Simplify (/ 1 1) into 1 3.317 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.317 * [taylor]: Taking taylor expansion of n in f 3.317 * [backup-simplify]: Simplify n into n 3.317 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.317 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.317 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.317 * [taylor]: Taking taylor expansion of f in f 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 1 into 1 3.317 * [backup-simplify]: Simplify (/ 1 1) into 1 3.318 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.318 * [taylor]: Taking taylor expansion of n in f 3.318 * [backup-simplify]: Simplify n into n 3.318 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.318 * [backup-simplify]: Simplify (+ 1 0) into 1 3.318 * [backup-simplify]: Simplify (+ 1 0) into 1 3.319 * [backup-simplify]: Simplify (/ 1 1) into 1 3.319 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.319 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.319 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.319 * [taylor]: Taking taylor expansion of f in f 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1 into 1 3.319 * [backup-simplify]: Simplify (/ 1 1) into 1 3.319 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.319 * [taylor]: Taking taylor expansion of n in f 3.319 * [backup-simplify]: Simplify n into n 3.319 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.320 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.320 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.320 * [taylor]: Taking taylor expansion of f in f 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.320 * [backup-simplify]: Simplify (/ 1 1) into 1 3.320 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.320 * [taylor]: Taking taylor expansion of n in f 3.320 * [backup-simplify]: Simplify n into n 3.320 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.321 * [backup-simplify]: Simplify (+ 1 0) into 1 3.321 * [backup-simplify]: Simplify (+ 1 0) into 1 3.322 * [backup-simplify]: Simplify (/ 1 1) into 1 3.322 * [taylor]: Taking taylor expansion of 1 in n 3.322 * [backup-simplify]: Simplify 1 into 1 3.322 * [backup-simplify]: Simplify 1 into 1 3.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.323 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.323 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.324 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.324 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 3.324 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.324 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.324 * [taylor]: Taking taylor expansion of 2 in n 3.324 * [backup-simplify]: Simplify 2 into 2 3.324 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.325 * [taylor]: Taking taylor expansion of n in n 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 1 into 1 3.325 * [backup-simplify]: Simplify (/ 1 1) into 1 3.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.327 * [backup-simplify]: Simplify (- 0) into 0 3.327 * [backup-simplify]: Simplify 0 into 0 3.327 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.329 * [backup-simplify]: Simplify (- 0) into 0 3.329 * [backup-simplify]: Simplify (+ 0 0) into 0 3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.330 * [backup-simplify]: Simplify (+ 0 0) into 0 3.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 3.331 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.331 * [taylor]: Taking taylor expansion of 2 in n 3.332 * [backup-simplify]: Simplify 2 into 2 3.332 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.332 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.332 * [taylor]: Taking taylor expansion of n in n 3.332 * [backup-simplify]: Simplify 0 into 0 3.332 * [backup-simplify]: Simplify 1 into 1 3.332 * [backup-simplify]: Simplify (* 1 1) into 1 3.332 * [backup-simplify]: Simplify (/ 1 1) into 1 3.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.337 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.338 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.339 * [backup-simplify]: Simplify (- 0) into 0 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.340 * [backup-simplify]: Simplify (- 0) into 0 3.341 * [backup-simplify]: Simplify (+ 0 0) into 0 3.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.342 * [backup-simplify]: Simplify (+ 0 0) into 0 3.344 * [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)))) 3.344 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.344 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.344 * [taylor]: Taking taylor expansion of 2 in n 3.344 * [backup-simplify]: Simplify 2 into 2 3.344 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.344 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.344 * [taylor]: Taking taylor expansion of n in n 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 1 into 1 3.344 * [backup-simplify]: Simplify (* 1 1) into 1 3.345 * [backup-simplify]: Simplify (* 1 1) into 1 3.345 * [backup-simplify]: Simplify (/ 1 1) into 1 3.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.354 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.355 * [backup-simplify]: Simplify (- 0) into 0 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 3.355 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 3.355 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 3.355 * [taylor]: Taking taylor expansion of -1 in n 3.355 * [backup-simplify]: Simplify -1 into -1 3.355 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 3.355 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.355 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.355 * [taylor]: Taking taylor expansion of n in n 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [backup-simplify]: Simplify (/ 1 1) into 1 3.355 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.355 * [taylor]: Taking taylor expansion of f in n 3.355 * [backup-simplify]: Simplify f into f 3.356 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.356 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.356 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.356 * [taylor]: Taking taylor expansion of f in n 3.356 * [backup-simplify]: Simplify f into f 3.356 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.356 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.356 * [taylor]: Taking taylor expansion of n in n 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (/ 1 1) into 1 3.356 * [backup-simplify]: Simplify (+ 1 0) into 1 3.356 * [backup-simplify]: Simplify (+ 0 1) into 1 3.357 * [backup-simplify]: Simplify (/ 1 1) into 1 3.357 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.357 * [taylor]: Taking taylor expansion of -1 in f 3.357 * [backup-simplify]: Simplify -1 into -1 3.357 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.357 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.357 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.357 * [taylor]: Taking taylor expansion of n in f 3.357 * [backup-simplify]: Simplify n into n 3.357 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.357 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.357 * [taylor]: Taking taylor expansion of f in f 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify 1 into 1 3.357 * [backup-simplify]: Simplify (/ 1 1) into 1 3.357 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.357 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.357 * [taylor]: Taking taylor expansion of f in f 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify 1 into 1 3.357 * [backup-simplify]: Simplify (/ 1 1) into 1 3.358 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.358 * [taylor]: Taking taylor expansion of n in f 3.358 * [backup-simplify]: Simplify n into n 3.358 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.358 * [backup-simplify]: Simplify (- 1) into -1 3.358 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.358 * [backup-simplify]: Simplify (+ 1 0) into 1 3.359 * [backup-simplify]: Simplify (/ -1 1) into -1 3.359 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.359 * [taylor]: Taking taylor expansion of -1 in f 3.359 * [backup-simplify]: Simplify -1 into -1 3.359 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.359 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.359 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.359 * [taylor]: Taking taylor expansion of n in f 3.359 * [backup-simplify]: Simplify n into n 3.359 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.359 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.359 * [taylor]: Taking taylor expansion of f in f 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify 1 into 1 3.359 * [backup-simplify]: Simplify (/ 1 1) into 1 3.359 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.359 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.359 * [taylor]: Taking taylor expansion of f in f 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify 1 into 1 3.359 * [backup-simplify]: Simplify (/ 1 1) into 1 3.359 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.359 * [taylor]: Taking taylor expansion of n in f 3.359 * [backup-simplify]: Simplify n into n 3.359 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.360 * [backup-simplify]: Simplify (- 1) into -1 3.360 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.360 * [backup-simplify]: Simplify (+ 1 0) into 1 3.361 * [backup-simplify]: Simplify (/ -1 1) into -1 3.361 * [backup-simplify]: Simplify (* -1 -1) into 1 3.361 * [taylor]: Taking taylor expansion of 1 in n 3.361 * [backup-simplify]: Simplify 1 into 1 3.361 * [backup-simplify]: Simplify 1 into 1 3.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.362 * [backup-simplify]: Simplify (- 0) into 0 3.362 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.362 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.362 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 3.363 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 3.363 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.363 * [taylor]: Taking taylor expansion of 2 in n 3.363 * [backup-simplify]: Simplify 2 into 2 3.363 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.363 * [taylor]: Taking taylor expansion of n in n 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify 1 into 1 3.363 * [backup-simplify]: Simplify (/ 1 1) into 1 3.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.364 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.364 * [backup-simplify]: Simplify (- 0) into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.365 * [backup-simplify]: Simplify (- 0) into 0 3.365 * [backup-simplify]: Simplify (+ 0 0) into 0 3.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.366 * [backup-simplify]: Simplify (+ 0 0) into 0 3.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.367 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.367 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.367 * [taylor]: Taking taylor expansion of 2 in n 3.367 * [backup-simplify]: Simplify 2 into 2 3.367 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.367 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.367 * [taylor]: Taking taylor expansion of n in n 3.367 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.368 * [backup-simplify]: Simplify (* 1 1) into 1 3.368 * [backup-simplify]: Simplify (/ 1 1) into 1 3.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.370 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.372 * [backup-simplify]: Simplify (- 0) into 0 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.373 * [backup-simplify]: Simplify (- 0) into 0 3.373 * [backup-simplify]: Simplify (+ 0 0) into 0 3.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.374 * [backup-simplify]: Simplify (+ 0 0) into 0 3.375 * [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))) 3.375 * [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)))) 3.376 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.376 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.376 * [taylor]: Taking taylor expansion of 2 in n 3.376 * [backup-simplify]: Simplify 2 into 2 3.376 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.376 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.376 * [taylor]: Taking taylor expansion of n in n 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [backup-simplify]: Simplify (* 1 1) into 1 3.376 * [backup-simplify]: Simplify (* 1 1) into 1 3.377 * [backup-simplify]: Simplify (/ 1 1) into 1 3.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.382 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.382 * [backup-simplify]: Simplify (- 0) into 0 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 1 into 1 3.382 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.382 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 3.382 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.382 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.382 * [taylor]: Taking taylor expansion of -1 in n 3.382 * [backup-simplify]: Simplify -1 into -1 3.382 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.382 * [taylor]: Taking taylor expansion of (+ n f) in n 3.382 * [taylor]: Taking taylor expansion of n in n 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 1 into 1 3.382 * [taylor]: Taking taylor expansion of f in n 3.383 * [backup-simplify]: Simplify f into f 3.383 * [taylor]: Taking taylor expansion of (- f n) in n 3.383 * [taylor]: Taking taylor expansion of f in n 3.383 * [backup-simplify]: Simplify f into f 3.383 * [taylor]: Taking taylor expansion of n in n 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 1 into 1 3.383 * [backup-simplify]: Simplify (+ 0 f) into f 3.383 * [backup-simplify]: Simplify (- 0) into 0 3.383 * [backup-simplify]: Simplify (+ f 0) into f 3.383 * [backup-simplify]: Simplify (/ f f) into 1 3.383 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.383 * [taylor]: Taking taylor expansion of -1 in f 3.383 * [backup-simplify]: Simplify -1 into -1 3.383 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.383 * [taylor]: Taking taylor expansion of (+ n f) in f 3.383 * [taylor]: Taking taylor expansion of n in f 3.383 * [backup-simplify]: Simplify n into n 3.383 * [taylor]: Taking taylor expansion of f in f 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 1 into 1 3.383 * [taylor]: Taking taylor expansion of (- f n) in f 3.383 * [taylor]: Taking taylor expansion of f in f 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 1 into 1 3.383 * [taylor]: Taking taylor expansion of n in f 3.383 * [backup-simplify]: Simplify n into n 3.383 * [backup-simplify]: Simplify (+ n 0) into n 3.383 * [backup-simplify]: Simplify (- n) into (- n) 3.383 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.383 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.383 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.383 * [taylor]: Taking taylor expansion of -1 in f 3.383 * [backup-simplify]: Simplify -1 into -1 3.383 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.383 * [taylor]: Taking taylor expansion of (+ n f) in f 3.383 * [taylor]: Taking taylor expansion of n in f 3.383 * [backup-simplify]: Simplify n into n 3.383 * [taylor]: Taking taylor expansion of f in f 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 1 into 1 3.383 * [taylor]: Taking taylor expansion of (- f n) in f 3.383 * [taylor]: Taking taylor expansion of f in f 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 1 into 1 3.383 * [taylor]: Taking taylor expansion of n in f 3.383 * [backup-simplify]: Simplify n into n 3.384 * [backup-simplify]: Simplify (+ n 0) into n 3.384 * [backup-simplify]: Simplify (- n) into (- n) 3.384 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.384 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.384 * [backup-simplify]: Simplify (* -1 -1) into 1 3.384 * [taylor]: Taking taylor expansion of 1 in n 3.384 * [backup-simplify]: Simplify 1 into 1 3.384 * [backup-simplify]: Simplify 1 into 1 3.384 * [backup-simplify]: Simplify (+ 0 1) into 1 3.384 * [backup-simplify]: Simplify (- 0) into 0 3.385 * [backup-simplify]: Simplify (+ 1 0) into 1 3.385 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.385 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.385 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.385 * [taylor]: Taking taylor expansion of 2 in n 3.385 * [backup-simplify]: Simplify 2 into 2 3.385 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.385 * [taylor]: Taking taylor expansion of n in n 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 1 into 1 3.386 * [backup-simplify]: Simplify (/ 1 1) into 1 3.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.386 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify (+ 0 0) into 0 3.387 * [backup-simplify]: Simplify (- 0) into 0 3.387 * [backup-simplify]: Simplify (+ 0 0) into 0 3.387 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.388 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.388 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.388 * [taylor]: Taking taylor expansion of 2 in n 3.388 * [backup-simplify]: Simplify 2 into 2 3.388 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.388 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.388 * [taylor]: Taking taylor expansion of n in n 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 1 into 1 3.388 * [backup-simplify]: Simplify (* 1 1) into 1 3.388 * [backup-simplify]: Simplify (/ 1 1) into 1 3.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.391 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.392 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify (+ 0 0) into 0 3.393 * [backup-simplify]: Simplify (- 0) into 0 3.393 * [backup-simplify]: Simplify (+ 0 0) into 0 3.393 * [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)))) 3.394 * [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))) 3.394 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.394 * [taylor]: Taking taylor expansion of 2 in n 3.394 * [backup-simplify]: Simplify 2 into 2 3.394 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.394 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.394 * [taylor]: Taking taylor expansion of n in n 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify 1 into 1 3.394 * [backup-simplify]: Simplify (* 1 1) into 1 3.394 * [backup-simplify]: Simplify (* 1 1) into 1 3.395 * [backup-simplify]: Simplify (/ 1 1) into 1 3.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.400 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.400 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.400 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.400 * [taylor]: Taking taylor expansion of -1 in n 3.400 * [backup-simplify]: Simplify -1 into -1 3.400 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.400 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.400 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.400 * [taylor]: Taking taylor expansion of f in n 3.400 * [backup-simplify]: Simplify f into f 3.400 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.400 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.400 * [taylor]: Taking taylor expansion of n in n 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify (/ 1 1) into 1 3.401 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.401 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.401 * [taylor]: Taking taylor expansion of f in n 3.401 * [backup-simplify]: Simplify f into f 3.401 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.401 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.401 * [taylor]: Taking taylor expansion of n in n 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify (/ 1 1) into 1 3.402 * [backup-simplify]: Simplify (+ 0 1) into 1 3.402 * [backup-simplify]: Simplify (- 1) into -1 3.402 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.403 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.403 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.403 * [taylor]: Taking taylor expansion of -1 in f 3.403 * [backup-simplify]: Simplify -1 into -1 3.403 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.403 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.403 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.403 * [taylor]: Taking taylor expansion of f in f 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 1 into 1 3.403 * [backup-simplify]: Simplify (/ 1 1) into 1 3.403 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.403 * [taylor]: Taking taylor expansion of n in f 3.403 * [backup-simplify]: Simplify n into n 3.404 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.404 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.404 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.404 * [taylor]: Taking taylor expansion of f in f 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify 1 into 1 3.404 * [backup-simplify]: Simplify (/ 1 1) into 1 3.404 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.404 * [taylor]: Taking taylor expansion of n in f 3.404 * [backup-simplify]: Simplify n into n 3.404 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.404 * [backup-simplify]: Simplify (+ 1 0) into 1 3.405 * [backup-simplify]: Simplify (+ 1 0) into 1 3.405 * [backup-simplify]: Simplify (/ 1 1) into 1 3.405 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.405 * [taylor]: Taking taylor expansion of -1 in f 3.405 * [backup-simplify]: Simplify -1 into -1 3.405 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.405 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.405 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.405 * [taylor]: Taking taylor expansion of f in f 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.406 * [backup-simplify]: Simplify (/ 1 1) into 1 3.406 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.406 * [taylor]: Taking taylor expansion of n in f 3.406 * [backup-simplify]: Simplify n into n 3.406 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.406 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.406 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.406 * [taylor]: Taking taylor expansion of f in f 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 1 into 1 3.406 * [backup-simplify]: Simplify (/ 1 1) into 1 3.407 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.407 * [taylor]: Taking taylor expansion of n in f 3.407 * [backup-simplify]: Simplify n into n 3.407 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.407 * [backup-simplify]: Simplify (+ 1 0) into 1 3.408 * [backup-simplify]: Simplify (+ 1 0) into 1 3.408 * [backup-simplify]: Simplify (/ 1 1) into 1 3.409 * [backup-simplify]: Simplify (* -1 1) into -1 3.409 * [taylor]: Taking taylor expansion of -1 in n 3.409 * [backup-simplify]: Simplify -1 into -1 3.409 * [backup-simplify]: Simplify -1 into -1 3.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.409 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.410 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.411 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.411 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.411 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.411 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.411 * [taylor]: Taking taylor expansion of 2 in n 3.411 * [backup-simplify]: Simplify 2 into 2 3.411 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.411 * [taylor]: Taking taylor expansion of n in n 3.411 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify 1 into 1 3.412 * [backup-simplify]: Simplify (/ 1 1) into 1 3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.413 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.413 * [backup-simplify]: Simplify (- 0) into 0 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.415 * [backup-simplify]: Simplify (+ 0 0) into 0 3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.416 * [backup-simplify]: Simplify (- 0) into 0 3.416 * [backup-simplify]: Simplify (+ 0 0) into 0 3.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.418 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.418 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.418 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.418 * [taylor]: Taking taylor expansion of 2 in n 3.418 * [backup-simplify]: Simplify 2 into 2 3.418 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.418 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.418 * [taylor]: Taking taylor expansion of n in n 3.418 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify 1 into 1 3.419 * [backup-simplify]: Simplify (* 1 1) into 1 3.419 * [backup-simplify]: Simplify (/ 1 1) into 1 3.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.423 * [backup-simplify]: Simplify (- 0) into 0 3.423 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.425 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.425 * [backup-simplify]: Simplify (- 0) into 0 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.427 * [backup-simplify]: Simplify (+ 0 0) into 0 3.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.428 * [backup-simplify]: Simplify (- 0) into 0 3.429 * [backup-simplify]: Simplify (+ 0 0) into 0 3.430 * [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))) 3.431 * [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)))) 3.431 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.431 * [taylor]: Taking taylor expansion of 2 in n 3.431 * [backup-simplify]: Simplify 2 into 2 3.431 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.431 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.431 * [taylor]: Taking taylor expansion of n in n 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 1 into 1 3.432 * [backup-simplify]: Simplify (* 1 1) into 1 3.432 * [backup-simplify]: Simplify (* 1 1) into 1 3.432 * [backup-simplify]: Simplify (/ 1 1) into 1 3.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.440 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.441 * [backup-simplify]: Simplify (- 0) into 0 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify -1 into -1 3.441 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.441 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.441 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.441 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.441 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.441 * [taylor]: Taking taylor expansion of f in n 3.441 * [backup-simplify]: Simplify f into f 3.441 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.441 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.441 * [taylor]: Taking taylor expansion of n in n 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 1 into 1 3.442 * [backup-simplify]: Simplify (/ 1 1) into 1 3.442 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.442 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.442 * [taylor]: Taking taylor expansion of n in n 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify 1 into 1 3.442 * [backup-simplify]: Simplify (/ 1 1) into 1 3.442 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.442 * [taylor]: Taking taylor expansion of f in n 3.442 * [backup-simplify]: Simplify f into f 3.442 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.443 * [backup-simplify]: Simplify (+ 0 1) into 1 3.443 * [backup-simplify]: Simplify (+ 1 0) into 1 3.444 * [backup-simplify]: Simplify (/ 1 1) into 1 3.444 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.444 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.444 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.444 * [taylor]: Taking taylor expansion of f in f 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify 1 into 1 3.444 * [backup-simplify]: Simplify (/ 1 1) into 1 3.444 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.444 * [taylor]: Taking taylor expansion of n in f 3.444 * [backup-simplify]: Simplify n into n 3.444 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.444 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.444 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.444 * [taylor]: Taking taylor expansion of n in f 3.444 * [backup-simplify]: Simplify n into n 3.444 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.444 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.444 * [taylor]: Taking taylor expansion of f in f 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify 1 into 1 3.445 * [backup-simplify]: Simplify (/ 1 1) into 1 3.445 * [backup-simplify]: Simplify (+ 1 0) into 1 3.446 * [backup-simplify]: Simplify (- 1) into -1 3.446 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.446 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.446 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.446 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.446 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.446 * [taylor]: Taking taylor expansion of f in f 3.447 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify 1 into 1 3.447 * [backup-simplify]: Simplify (/ 1 1) into 1 3.447 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.447 * [taylor]: Taking taylor expansion of n in f 3.447 * [backup-simplify]: Simplify n into n 3.447 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.447 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.447 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.447 * [taylor]: Taking taylor expansion of n in f 3.447 * [backup-simplify]: Simplify n into n 3.447 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.447 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.447 * [taylor]: Taking taylor expansion of f in f 3.447 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify 1 into 1 3.448 * [backup-simplify]: Simplify (/ 1 1) into 1 3.448 * [backup-simplify]: Simplify (+ 1 0) into 1 3.448 * [backup-simplify]: Simplify (- 1) into -1 3.449 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.449 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.449 * [taylor]: Taking taylor expansion of -1 in n 3.449 * [backup-simplify]: Simplify -1 into -1 3.450 * [backup-simplify]: Simplify -1 into -1 3.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.450 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.452 * [backup-simplify]: Simplify (- 0) into 0 3.452 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.452 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.452 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.452 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.452 * [taylor]: Taking taylor expansion of 2 in n 3.452 * [backup-simplify]: Simplify 2 into 2 3.452 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.452 * [taylor]: Taking taylor expansion of n in n 3.452 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify 1 into 1 3.452 * [backup-simplify]: Simplify (/ 1 1) into 1 3.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.454 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.454 * [backup-simplify]: Simplify (- 0) into 0 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.456 * [backup-simplify]: Simplify (+ 0 0) into 0 3.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.461 * [backup-simplify]: Simplify (- 0) into 0 3.461 * [backup-simplify]: Simplify (+ 0 0) into 0 3.463 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.463 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.463 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.463 * [taylor]: Taking taylor expansion of 2 in n 3.463 * [backup-simplify]: Simplify 2 into 2 3.463 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.463 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.463 * [taylor]: Taking taylor expansion of n in n 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 1 into 1 3.463 * [backup-simplify]: Simplify (* 1 1) into 1 3.464 * [backup-simplify]: Simplify (/ 1 1) into 1 3.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.468 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.468 * [backup-simplify]: Simplify (- 0) into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.470 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.471 * [backup-simplify]: Simplify (- 0) into 0 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.472 * [backup-simplify]: Simplify (+ 0 0) into 0 3.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.474 * [backup-simplify]: Simplify (- 0) into 0 3.474 * [backup-simplify]: Simplify (+ 0 0) into 0 3.476 * [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)))) 3.476 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.476 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.476 * [taylor]: Taking taylor expansion of 2 in n 3.476 * [backup-simplify]: Simplify 2 into 2 3.476 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.476 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.476 * [taylor]: Taking taylor expansion of n in n 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify 1 into 1 3.477 * [backup-simplify]: Simplify (* 1 1) into 1 3.477 * [backup-simplify]: Simplify (* 1 1) into 1 3.478 * [backup-simplify]: Simplify (/ 1 1) into 1 3.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.487 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.488 * [backup-simplify]: Simplify (- 0) into 0 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify -1 into -1 3.488 * * * [progress]: simplifying candidates 3.488 * * * * [progress]: [ 1 / 180 ] simplifiying candidate # 3.488 * * * * [progress]: [ 2 / 180 ] simplifiying candidate # 3.488 * * * * [progress]: [ 3 / 180 ] simplifiying candidate # 3.488 * * * * [progress]: [ 4 / 180 ] simplifiying candidate # 3.488 * * * * [progress]: [ 5 / 180 ] simplifiying 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* * * * [progress]: [ 52 / 180 ] simplifiying candidate # 3.491 * * * * [progress]: [ 53 / 180 ] simplifiying candidate # 3.491 * * * * [progress]: [ 54 / 180 ] simplifiying candidate # 3.491 * * * * [progress]: [ 55 / 180 ] simplifiying candidate # 3.491 * * * * [progress]: [ 56 / 180 ] simplifiying candidate # 3.491 * * * * [progress]: [ 57 / 180 ] simplifiying candidate # 3.491 * * * * [progress]: [ 58 / 180 ] simplifiying candidate # 3.491 * * * * [progress]: [ 59 / 180 ] simplifiying candidate # 3.491 * * * * [progress]: [ 60 / 180 ] simplifiying candidate # 3.492 * * * * [progress]: [ 61 / 180 ] simplifiying candidate # 3.492 * * * * [progress]: [ 62 / 180 ] simplifiying candidate # 3.492 * * * * [progress]: [ 63 / 180 ] simplifiying candidate # 3.492 * * * * [progress]: [ 64 / 180 ] simplifiying candidate # 3.492 * * * * [progress]: [ 65 / 180 ] simplifiying candidate # 3.492 * * * * [progress]: [ 66 / 180 ] simplifiying candidate # 3.492 * * * * [progress]: [ 67 / 180 ] 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3.499 * * * * [progress]: [ 175 / 180 ] simplifiying candidate # 3.499 * * * * [progress]: [ 176 / 180 ] simplifiying candidate # 3.499 * * * * [progress]: [ 177 / 180 ] simplifiying candidate # 3.499 * * * * [progress]: [ 178 / 180 ] simplifiying candidate # 3.499 * * * * [progress]: [ 179 / 180 ] simplifiying candidate # 3.499 * * * * [progress]: [ 180 / 180 ] simplifiying candidate # 3.503 * [simplify]: Simplifying: (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (real->posit16 (/ (- f n) (+ f n))) (expm1 (/ -1 (/ (- f n) (+ f n)))) (log1p (/ -1 (/ (- f n) (+ f n)))) (- (log -1) (- (log (- f n)) (log (+ f n)))) (- (log -1) (log (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (exp (/ -1 (/ (- f n) (+ f n)))) (/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* -1 -1) -1) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n)))) (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (- -1) (- (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (cbrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (cbrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (- f n)) (/ (cbrt -1) (/ 1 (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (cbrt -1) (+ (* f f) (- (* n n) (* f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n)))) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (sqrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (sqrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (sqrt -1) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) 1)) (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (sqrt -1) (/ (sqrt (- f n)) 1)) (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (sqrt -1) (/ 1 (sqrt (+ f n)))) (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (sqrt -1) (/ 1 (sqrt (+ f n)))) (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) 1) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (/ 1 (+ f n))) (/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (sqrt -1) (+ (* f f) (- (* n n) (* f n)))) (/ (sqrt -1) (/ (- f n) (- (* f f) (* n n)))) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ -1 (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ 1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ 1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ 1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ (- f n) (sqrt (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ (- f n) (sqrt (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 1) (/ -1 (/ (- f n) (+ f n))) (/ 1 (- f n)) (/ -1 (/ 1 (+ f n))) (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (+ (* f f) (- (* n n) (* f n)))) (/ 1 (/ (- f n) (- (* f f) (* n n)))) (/ -1 (- f n)) (/ 1 (/ (- f n) (+ f n))) (/ (/ (- f n) (+ f n)) -1) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 1) (/ -1 (- f n)) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (/ -1 (- f n)) (real->posit16 (/ -1 (/ (- f n) (+ f n)))) -1 1 1 1 -1 -1 3.508 * * [simplify]: iteration 0: 225 enodes 3.629 * * [simplify]: iteration 1: 595 enodes 3.840 * * [simplify]: iteration 2: 1938 enodes 4.458 * * [simplify]: iteration complete: 5004 enodes 4.458 * * [simplify]: Extracting #0: cost 172 inf + 0 4.463 * * [simplify]: Extracting #1: cost 1152 inf + 2 4.475 * * [simplify]: Extracting #2: cost 1971 inf + 5465 4.508 * * [simplify]: Extracting #3: cost 2054 inf + 40231 4.580 * * [simplify]: Extracting #4: cost 821 inf + 256357 5.001 * * [simplify]: Extracting #5: cost 82 inf + 421846 5.095 * * [simplify]: Extracting #6: cost 4 inf + 440406 5.212 * * [simplify]: Extracting #7: cost 0 inf + 441418 5.288 * [simplify]: Simplified to: (expm1 (/ (- f n) (+ n f))) (log1p (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (exp (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (sqrt (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (- (- f n)) (- (+ f n)) (/ f (+ n f)) (/ n (+ n f)) (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ n f))) (/ (cbrt (- f n)) (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f)) (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt (- f n)) (cbrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f))) (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f)) (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f)) (* (/ -1 (cbrt (+ n f))) (/ -1 (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f))) 1 (/ (- f n) (+ n f)) 1 (/ (- f n) (+ n f)) (/ (+ (sqrt n) (sqrt f)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ n f))) (/ (+ (sqrt n) (sqrt f)) (sqrt (+ n f))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ n f))) (+ (sqrt n) (sqrt f)) (/ (- (sqrt f) (sqrt n)) (+ n f)) (+ (sqrt n) (sqrt f)) (/ (- (sqrt f) (sqrt n)) (+ n f)) (* (/ -1 (cbrt (+ n f))) (/ -1 (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f))) 1 (/ (- f n) (+ n f)) 1 (/ (- f n) (+ n f)) (/ 1 (+ n f)) (/ (+ n f) (- f n)) (/ (/ (- f n) (cbrt (+ n f))) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (- f n) (- f n) (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (- f n)) (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (+ n f) (- f n)) (/ (- f n) (fma (* n n) n (* (* f f) f))) (/ (/ (- f n) (+ n f)) (- f n)) (fma f (* f (+ n f)) (* n (* (+ n f) (+ n f)))) (* (+ n f) (+ n f)) (real->posit16 (/ (- f n) (+ n f))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ 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))) 1 (- (/ (- f n) (+ n f))) (* (/ (cbrt -1) (cbrt (/ (- f n) (+ n f)))) (/ (cbrt -1) (cbrt (/ (- f n) (+ n f))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ n f)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ n f)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ n f)))) (* (/ (* (cbrt -1) (cbrt (+ n f))) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt (+ n f))) (cbrt (- f n)))) (/ (* (cbrt -1) (cbrt (+ n f))) (cbrt (- f n))) (* (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n)))) (sqrt (+ n f))) (/ (* (cbrt -1) (sqrt (+ n f))) (cbrt (- f n))) (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n)))) (/ (cbrt -1) (/ (cbrt (- f n)) (+ n f))) (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n)))) (/ (cbrt -1) (/ (cbrt (- f n)) (+ n f))) (/ (* (* (cbrt -1) (cbrt -1)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (sqrt (- f n))) (* (cbrt (+ n f)) (/ (cbrt -1) (sqrt (- f n)))) (/ (* (* (cbrt -1) (cbrt -1)) (sqrt (+ n f))) (sqrt (- f n))) (/ (* (cbrt -1) (sqrt (+ n f))) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (/ (sqrt (- f n)) (+ n f))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (/ (sqrt (- f n)) (+ n f))) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt -1) (cbrt -1))) (* (/ (cbrt -1) (- f n)) (cbrt (+ n f))) (* (* (cbrt -1) (cbrt -1)) (sqrt (+ n f))) (* (sqrt (+ n f)) (/ (cbrt -1) (- f n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (/ (- f n) (+ n f))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (/ (- f n) (+ n f))) (* (* (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt n) (sqrt f))) (cbrt (+ n f))) (cbrt (+ n f))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ n f)))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt n) (sqrt f)) (sqrt (+ n f)))) (* (sqrt (+ n f)) (/ (cbrt -1) (- (sqrt f) (sqrt n)))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt n) (sqrt f))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ n f))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt n) (sqrt f))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ n f))) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt -1) (cbrt -1))) (* (/ (cbrt -1) (- f n)) (cbrt (+ n f))) (* (* (cbrt -1) (cbrt -1)) (sqrt (+ n f))) (* (sqrt (+ n f)) (/ (cbrt -1) (- f n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (/ (- f n) (+ n f))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (/ (- f n) (+ n f))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (/ (- f n) (+ n f))) (/ (cbrt -1) (/ (- f n) (cbrt -1))) (* (+ n f) (cbrt -1)) (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (fma (* n n) n (* (* f f) f)))) (/ (cbrt -1) (fma n (- n f) (* f f))) (* (/ (cbrt -1) (/ (- f n) (cbrt -1))) (* (+ n f) (- f n))) (/ (cbrt -1) (- f n)) (/ (/ (sqrt -1) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f)))) (/ (sqrt -1) (cbrt (/ (- f n) (+ n f)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ n f)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ n f)))) (/ (/ (sqrt -1) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (* (sqrt -1) (cbrt (+ n f))) (cbrt (- f n))) (/ (* (sqrt -1) (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (sqrt -1) (sqrt (+ n f))) (cbrt (- f n))) (/ (/ (sqrt -1) (cbrt (- f n))) (cbrt (- f n))) (* (+ n f) (/ (sqrt -1) (cbrt (- f n)))) (/ (/ (sqrt -1) (cbrt (- f n))) (cbrt (- f n))) (* (+ n f) (/ (sqrt -1) (cbrt (- f n)))) (/ (* (sqrt -1) (* (cbrt (+ n f)) (cbrt (+ n f)))) (sqrt (- f n))) (/ (* (sqrt -1) (cbrt (+ n f))) (sqrt (- f n))) (/ (* (sqrt -1) (sqrt (+ n f))) (sqrt (- f n))) (/ (* (sqrt -1) (sqrt (+ n f))) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (* (sqrt -1) (+ n f)) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (* (sqrt -1) (+ n f)) (sqrt (- f n))) (* (sqrt -1) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt -1) (/ (- f n) (cbrt (+ n f)))) (* (sqrt -1) (sqrt (+ n f))) (* (/ (sqrt -1) (- f n)) (sqrt (+ n f))) (sqrt -1) (* (+ n f) (/ (sqrt -1) (- f n))) (sqrt -1) (* (+ n f) (/ (sqrt -1) (- f n))) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (sqrt -1) (+ (sqrt n) (sqrt f)))) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (cbrt (+ n f))) (/ (* (sqrt -1) (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (* (sqrt -1) (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (/ (* (sqrt -1) (+ n f)) (- (sqrt f) (sqrt n))) (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (/ (* (sqrt -1) (+ n f)) (- (sqrt f) (sqrt n))) (* (sqrt -1) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt -1) (/ (- f n) (cbrt (+ n f)))) (* (sqrt -1) (sqrt (+ n f))) (* (/ (sqrt -1) (- f n)) (sqrt (+ n f))) (sqrt -1) (* (+ n f) (/ (sqrt -1) (- f n))) (sqrt -1) (* (+ n f) (/ (sqrt -1) (- f n))) (sqrt -1) (* (+ n f) (/ (sqrt -1) (- f n))) (/ (sqrt -1) (- f n)) (* (sqrt -1) (+ n f)) (* (/ (sqrt 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f n)) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (- (+ f n)) (/ (fma (* n n) n (* (* f f) f)) (- f n)) (/ -1 (fma n (- n f) (* f f))) (/ (* (+ n f) (- f n)) (- f n)) (/ -1 (- f n)) (/ (+ n f) (- f n)) (/ (- f n) (- (+ f n))) (/ -1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (- (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n)))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (- (sqrt (+ n f))) -1 -1 (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (- (sqrt (+ n f))) -1 -1 -1 (/ -1 (- f n)) (/ (- (fma (* n n) n (* (* f f) f))) (- f n)) (/ (- (* (+ n f) (- f n))) (- f n)) (/ (/ (- f n) (cbrt -1)) (+ n f)) (/ (/ (- f n) (+ n f)) (sqrt -1)) (/ (- f n) (- (+ f n))) (/ -1 (- f n)) (real->posit16 (/ (- (+ f n)) (- f n))) -1 1 1 1 -1 -1 5.300 * * * [progress]: adding candidates to table 5.894 * * [progress]: iteration 3 / 4 5.894 * * * [progress]: picking best candidate 5.900 * * * * [pick]: Picked # 5.900 * * * [progress]: localizing error 5.932 * * * [progress]: generating rewritten candidates 5.932 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 5.969 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 6.035 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 6.131 * * * [progress]: generating series expansions 6.131 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 6.131 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 6.131 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.131 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.131 * [taylor]: Taking taylor expansion of -1 in n 6.131 * [backup-simplify]: Simplify -1 into -1 6.131 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.131 * [taylor]: Taking taylor expansion of (+ n f) in n 6.131 * [taylor]: Taking taylor expansion of n in n 6.131 * [backup-simplify]: Simplify 0 into 0 6.131 * [backup-simplify]: Simplify 1 into 1 6.131 * [taylor]: Taking taylor expansion of f in n 6.131 * [backup-simplify]: Simplify f into f 6.131 * [taylor]: Taking taylor expansion of (- f n) in n 6.131 * [taylor]: Taking taylor expansion of f in n 6.131 * [backup-simplify]: Simplify f into f 6.131 * [taylor]: Taking taylor expansion of n in n 6.131 * [backup-simplify]: Simplify 0 into 0 6.131 * [backup-simplify]: Simplify 1 into 1 6.131 * [backup-simplify]: Simplify (+ 0 f) into f 6.132 * [backup-simplify]: Simplify (- 0) into 0 6.132 * [backup-simplify]: Simplify (+ f 0) into f 6.132 * [backup-simplify]: Simplify (/ f f) into 1 6.132 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.132 * [taylor]: Taking taylor expansion of -1 in f 6.132 * [backup-simplify]: Simplify -1 into -1 6.132 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.132 * [taylor]: Taking taylor expansion of (+ n f) in f 6.132 * [taylor]: Taking taylor expansion of n in f 6.132 * [backup-simplify]: Simplify n into n 6.132 * [taylor]: Taking taylor expansion of f in f 6.132 * [backup-simplify]: Simplify 0 into 0 6.132 * [backup-simplify]: Simplify 1 into 1 6.132 * [taylor]: Taking taylor expansion of (- f n) in f 6.132 * [taylor]: Taking taylor expansion of f in f 6.132 * [backup-simplify]: Simplify 0 into 0 6.132 * [backup-simplify]: Simplify 1 into 1 6.132 * [taylor]: Taking taylor expansion of n in f 6.132 * [backup-simplify]: Simplify n into n 6.132 * [backup-simplify]: Simplify (+ n 0) into n 6.132 * [backup-simplify]: Simplify (- n) into (- n) 6.132 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.132 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.132 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.132 * [taylor]: Taking taylor expansion of -1 in f 6.132 * [backup-simplify]: Simplify -1 into -1 6.132 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.132 * [taylor]: Taking taylor expansion of (+ n f) in f 6.132 * [taylor]: Taking taylor expansion of n in f 6.132 * [backup-simplify]: Simplify n into n 6.132 * [taylor]: Taking taylor expansion of f in f 6.132 * [backup-simplify]: Simplify 0 into 0 6.132 * [backup-simplify]: Simplify 1 into 1 6.132 * [taylor]: Taking taylor expansion of (- f n) in f 6.132 * [taylor]: Taking taylor expansion of f in f 6.132 * [backup-simplify]: Simplify 0 into 0 6.132 * [backup-simplify]: Simplify 1 into 1 6.132 * [taylor]: Taking taylor expansion of n in f 6.132 * [backup-simplify]: Simplify n into n 6.133 * [backup-simplify]: Simplify (+ n 0) into n 6.133 * [backup-simplify]: Simplify (- n) into (- n) 6.133 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.133 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.133 * [backup-simplify]: Simplify (* -1 -1) into 1 6.133 * [taylor]: Taking taylor expansion of 1 in n 6.133 * [backup-simplify]: Simplify 1 into 1 6.133 * [backup-simplify]: Simplify 1 into 1 6.133 * [backup-simplify]: Simplify (+ 0 1) into 1 6.133 * [backup-simplify]: Simplify (- 0) into 0 6.134 * [backup-simplify]: Simplify (+ 1 0) into 1 6.134 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.134 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.134 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.134 * [taylor]: Taking taylor expansion of 2 in n 6.134 * [backup-simplify]: Simplify 2 into 2 6.134 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.134 * [taylor]: Taking taylor expansion of n in n 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify 1 into 1 6.135 * [backup-simplify]: Simplify (/ 1 1) into 1 6.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.135 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify (+ 0 0) into 0 6.136 * [backup-simplify]: Simplify (- 0) into 0 6.136 * [backup-simplify]: Simplify (+ 0 0) into 0 6.136 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.137 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.137 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.137 * [taylor]: Taking taylor expansion of 2 in n 6.137 * [backup-simplify]: Simplify 2 into 2 6.137 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.137 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.137 * [taylor]: Taking taylor expansion of n in n 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify 1 into 1 6.137 * [backup-simplify]: Simplify (* 1 1) into 1 6.137 * [backup-simplify]: Simplify (/ 1 1) into 1 6.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.140 * [backup-simplify]: Simplify 0 into 0 6.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify (+ 0 0) into 0 6.142 * [backup-simplify]: Simplify (- 0) into 0 6.142 * [backup-simplify]: Simplify (+ 0 0) into 0 6.142 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.143 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 6.143 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.143 * [taylor]: Taking taylor expansion of 2 in n 6.143 * [backup-simplify]: Simplify 2 into 2 6.143 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.143 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.143 * [taylor]: Taking taylor expansion of n in n 6.143 * [backup-simplify]: Simplify 0 into 0 6.143 * [backup-simplify]: Simplify 1 into 1 6.143 * [backup-simplify]: Simplify (* 1 1) into 1 6.143 * [backup-simplify]: Simplify (* 1 1) into 1 6.144 * [backup-simplify]: Simplify (/ 1 1) into 1 6.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.149 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 1 into 1 6.149 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.149 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.149 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.149 * [taylor]: Taking taylor expansion of -1 in n 6.149 * [backup-simplify]: Simplify -1 into -1 6.149 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.149 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.149 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.149 * [taylor]: Taking taylor expansion of f in n 6.149 * [backup-simplify]: Simplify f into f 6.149 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.149 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.149 * [taylor]: Taking taylor expansion of n in n 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 1 into 1 6.150 * [backup-simplify]: Simplify (/ 1 1) into 1 6.150 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.150 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.150 * [taylor]: Taking taylor expansion of f in n 6.150 * [backup-simplify]: Simplify f into f 6.150 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.150 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.150 * [taylor]: Taking taylor expansion of n in n 6.150 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify 1 into 1 6.150 * [backup-simplify]: Simplify (/ 1 1) into 1 6.150 * [backup-simplify]: Simplify (+ 0 1) into 1 6.150 * [backup-simplify]: Simplify (- 1) into -1 6.151 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.151 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.151 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.151 * [taylor]: Taking taylor expansion of -1 in f 6.151 * [backup-simplify]: Simplify -1 into -1 6.151 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.151 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.151 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.151 * [taylor]: Taking taylor expansion of f in f 6.151 * [backup-simplify]: Simplify 0 into 0 6.151 * [backup-simplify]: Simplify 1 into 1 6.151 * [backup-simplify]: Simplify (/ 1 1) into 1 6.151 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.151 * [taylor]: Taking taylor expansion of n in f 6.151 * [backup-simplify]: Simplify n into n 6.152 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.152 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.152 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.152 * [taylor]: Taking taylor expansion of f in f 6.152 * [backup-simplify]: Simplify 0 into 0 6.152 * [backup-simplify]: Simplify 1 into 1 6.152 * [backup-simplify]: Simplify (/ 1 1) into 1 6.152 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.152 * [taylor]: Taking taylor expansion of n in f 6.152 * [backup-simplify]: Simplify n into n 6.152 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.152 * [backup-simplify]: Simplify (+ 1 0) into 1 6.152 * [backup-simplify]: Simplify (+ 1 0) into 1 6.153 * [backup-simplify]: Simplify (/ 1 1) into 1 6.153 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.153 * [taylor]: Taking taylor expansion of -1 in f 6.153 * [backup-simplify]: Simplify -1 into -1 6.153 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.153 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.153 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.153 * [taylor]: Taking taylor expansion of f in f 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify 1 into 1 6.153 * [backup-simplify]: Simplify (/ 1 1) into 1 6.153 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.153 * [taylor]: Taking taylor expansion of n in f 6.153 * [backup-simplify]: Simplify n into n 6.153 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.153 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.153 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.153 * [taylor]: Taking taylor expansion of f in f 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify 1 into 1 6.153 * [backup-simplify]: Simplify (/ 1 1) into 1 6.153 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.154 * [taylor]: Taking taylor expansion of n in f 6.154 * [backup-simplify]: Simplify n into n 6.154 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.154 * [backup-simplify]: Simplify (+ 1 0) into 1 6.154 * [backup-simplify]: Simplify (+ 1 0) into 1 6.154 * [backup-simplify]: Simplify (/ 1 1) into 1 6.155 * [backup-simplify]: Simplify (* -1 1) into -1 6.155 * [taylor]: Taking taylor expansion of -1 in n 6.155 * [backup-simplify]: Simplify -1 into -1 6.155 * [backup-simplify]: Simplify -1 into -1 6.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.155 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.159 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.159 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.160 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.160 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.160 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.160 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.160 * [taylor]: Taking taylor expansion of 2 in n 6.160 * [backup-simplify]: Simplify 2 into 2 6.160 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.160 * [taylor]: Taking taylor expansion of n in n 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify 1 into 1 6.160 * [backup-simplify]: Simplify (/ 1 1) into 1 6.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.161 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.162 * [backup-simplify]: Simplify (- 0) into 0 6.162 * [backup-simplify]: Simplify 0 into 0 6.162 * [backup-simplify]: Simplify 0 into 0 6.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.162 * [backup-simplify]: Simplify (+ 0 0) into 0 6.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.163 * [backup-simplify]: Simplify (- 0) into 0 6.164 * [backup-simplify]: Simplify (+ 0 0) into 0 6.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.165 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.165 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.165 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.165 * [taylor]: Taking taylor expansion of 2 in n 6.165 * [backup-simplify]: Simplify 2 into 2 6.165 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.165 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.165 * [taylor]: Taking taylor expansion of n in n 6.165 * [backup-simplify]: Simplify 0 into 0 6.165 * [backup-simplify]: Simplify 1 into 1 6.166 * [backup-simplify]: Simplify (* 1 1) into 1 6.166 * [backup-simplify]: Simplify (/ 1 1) into 1 6.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.170 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.170 * [backup-simplify]: Simplify (- 0) into 0 6.170 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.172 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.173 * [backup-simplify]: Simplify (- 0) into 0 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.174 * [backup-simplify]: Simplify (+ 0 0) into 0 6.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.176 * [backup-simplify]: Simplify (- 0) into 0 6.176 * [backup-simplify]: Simplify (+ 0 0) into 0 6.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 6.179 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.179 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.179 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.179 * [taylor]: Taking taylor expansion of 2 in n 6.179 * [backup-simplify]: Simplify 2 into 2 6.179 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.179 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.179 * [taylor]: Taking taylor expansion of n in n 6.179 * [backup-simplify]: Simplify 0 into 0 6.179 * [backup-simplify]: Simplify 1 into 1 6.179 * [backup-simplify]: Simplify (* 1 1) into 1 6.180 * [backup-simplify]: Simplify (* 1 1) into 1 6.180 * [backup-simplify]: Simplify (/ 1 1) into 1 6.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.189 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.189 * [backup-simplify]: Simplify (- 0) into 0 6.189 * [backup-simplify]: Simplify 0 into 0 6.189 * [backup-simplify]: Simplify -1 into -1 6.190 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.190 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.190 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.190 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.190 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.190 * [taylor]: Taking taylor expansion of f in n 6.190 * [backup-simplify]: Simplify f into f 6.190 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.190 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.190 * [taylor]: Taking taylor expansion of n in n 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify 1 into 1 6.190 * [backup-simplify]: Simplify (/ 1 1) into 1 6.190 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.190 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.190 * [taylor]: Taking taylor expansion of n in n 6.191 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify 1 into 1 6.191 * [backup-simplify]: Simplify (/ 1 1) into 1 6.191 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.191 * [taylor]: Taking taylor expansion of f in n 6.191 * [backup-simplify]: Simplify f into f 6.191 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.192 * [backup-simplify]: Simplify (+ 0 1) into 1 6.192 * [backup-simplify]: Simplify (+ 1 0) into 1 6.192 * [backup-simplify]: Simplify (/ 1 1) into 1 6.192 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.192 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.192 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.193 * [taylor]: Taking taylor expansion of f in f 6.193 * [backup-simplify]: Simplify 0 into 0 6.193 * [backup-simplify]: Simplify 1 into 1 6.193 * [backup-simplify]: Simplify (/ 1 1) into 1 6.193 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.193 * [taylor]: Taking taylor expansion of n in f 6.193 * [backup-simplify]: Simplify n into n 6.193 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.193 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.193 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.193 * [taylor]: Taking taylor expansion of n in f 6.193 * [backup-simplify]: Simplify n into n 6.193 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.193 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.193 * [taylor]: Taking taylor expansion of f in f 6.193 * [backup-simplify]: Simplify 0 into 0 6.193 * [backup-simplify]: Simplify 1 into 1 6.194 * [backup-simplify]: Simplify (/ 1 1) into 1 6.194 * [backup-simplify]: Simplify (+ 1 0) into 1 6.194 * [backup-simplify]: Simplify (- 1) into -1 6.195 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.195 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.195 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.195 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.195 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.196 * [taylor]: Taking taylor expansion of f in f 6.196 * [backup-simplify]: Simplify 0 into 0 6.196 * [backup-simplify]: Simplify 1 into 1 6.196 * [backup-simplify]: Simplify (/ 1 1) into 1 6.196 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.196 * [taylor]: Taking taylor expansion of n in f 6.196 * [backup-simplify]: Simplify n into n 6.196 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.196 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.196 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.196 * [taylor]: Taking taylor expansion of n in f 6.196 * [backup-simplify]: Simplify n into n 6.196 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.196 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.196 * [taylor]: Taking taylor expansion of f in f 6.196 * [backup-simplify]: Simplify 0 into 0 6.196 * [backup-simplify]: Simplify 1 into 1 6.197 * [backup-simplify]: Simplify (/ 1 1) into 1 6.197 * [backup-simplify]: Simplify (+ 1 0) into 1 6.198 * [backup-simplify]: Simplify (- 1) into -1 6.198 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.199 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.199 * [taylor]: Taking taylor expansion of -1 in n 6.199 * [backup-simplify]: Simplify -1 into -1 6.199 * [backup-simplify]: Simplify -1 into -1 6.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.200 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.201 * [backup-simplify]: Simplify (- 0) into 0 6.201 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.201 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.202 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.202 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.202 * [taylor]: Taking taylor expansion of 2 in n 6.202 * [backup-simplify]: Simplify 2 into 2 6.202 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.202 * [taylor]: Taking taylor expansion of n in n 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify 1 into 1 6.202 * [backup-simplify]: Simplify (/ 1 1) into 1 6.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.204 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.204 * [backup-simplify]: Simplify (- 0) into 0 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.206 * [backup-simplify]: Simplify (+ 0 0) into 0 6.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.207 * [backup-simplify]: Simplify (- 0) into 0 6.208 * [backup-simplify]: Simplify (+ 0 0) into 0 6.209 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.209 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.209 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.209 * [taylor]: Taking taylor expansion of 2 in n 6.209 * [backup-simplify]: Simplify 2 into 2 6.209 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.209 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.209 * [taylor]: Taking taylor expansion of n in n 6.209 * [backup-simplify]: Simplify 0 into 0 6.209 * [backup-simplify]: Simplify 1 into 1 6.210 * [backup-simplify]: Simplify (* 1 1) into 1 6.210 * [backup-simplify]: Simplify (/ 1 1) into 1 6.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.214 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.215 * [backup-simplify]: Simplify (- 0) into 0 6.215 * [backup-simplify]: Simplify 0 into 0 6.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.218 * [backup-simplify]: Simplify (- 0) into 0 6.218 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.220 * [backup-simplify]: Simplify (+ 0 0) into 0 6.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.221 * [backup-simplify]: Simplify (- 0) into 0 6.222 * [backup-simplify]: Simplify (+ 0 0) into 0 6.224 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.224 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.224 * [taylor]: Taking taylor expansion of 2 in n 6.224 * [backup-simplify]: Simplify 2 into 2 6.224 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.224 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.224 * [taylor]: Taking taylor expansion of n in n 6.224 * [backup-simplify]: Simplify 0 into 0 6.224 * [backup-simplify]: Simplify 1 into 1 6.224 * [backup-simplify]: Simplify (* 1 1) into 1 6.225 * [backup-simplify]: Simplify (* 1 1) into 1 6.225 * [backup-simplify]: Simplify (/ 1 1) into 1 6.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.234 * [backup-simplify]: Simplify (- 0) into 0 6.234 * [backup-simplify]: Simplify 0 into 0 6.234 * [backup-simplify]: Simplify -1 into -1 6.234 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 6.235 * [backup-simplify]: Simplify (exp (/ (- (+ f n)) (- f n))) into (exp (* -1 (/ (+ n f) (- f n)))) 6.235 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 6.235 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 6.235 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.235 * [taylor]: Taking taylor expansion of -1 in n 6.235 * [backup-simplify]: Simplify -1 into -1 6.235 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.235 * [taylor]: Taking taylor expansion of (+ n f) in n 6.235 * [taylor]: Taking taylor expansion of n in n 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify 1 into 1 6.235 * [taylor]: Taking taylor expansion of f in n 6.235 * [backup-simplify]: Simplify f into f 6.235 * [taylor]: Taking taylor expansion of (- f n) in n 6.235 * [taylor]: Taking taylor expansion of f in n 6.235 * [backup-simplify]: Simplify f into f 6.235 * [taylor]: Taking taylor expansion of n in n 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify 1 into 1 6.235 * [backup-simplify]: Simplify (+ 0 f) into f 6.235 * [backup-simplify]: Simplify (- 0) into 0 6.236 * [backup-simplify]: Simplify (+ f 0) into f 6.236 * [backup-simplify]: Simplify (/ f f) into 1 6.236 * [backup-simplify]: Simplify (* -1 1) into -1 6.236 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.236 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 6.236 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.237 * [taylor]: Taking taylor expansion of -1 in f 6.237 * [backup-simplify]: Simplify -1 into -1 6.237 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.237 * [taylor]: Taking taylor expansion of (+ n f) in f 6.237 * [taylor]: Taking taylor expansion of n in f 6.237 * [backup-simplify]: Simplify n into n 6.237 * [taylor]: Taking taylor expansion of f in f 6.237 * [backup-simplify]: Simplify 0 into 0 6.237 * [backup-simplify]: Simplify 1 into 1 6.237 * [taylor]: Taking taylor expansion of (- f n) in f 6.237 * [taylor]: Taking taylor expansion of f in f 6.237 * [backup-simplify]: Simplify 0 into 0 6.237 * [backup-simplify]: Simplify 1 into 1 6.237 * [taylor]: Taking taylor expansion of n in f 6.237 * [backup-simplify]: Simplify n into n 6.237 * [backup-simplify]: Simplify (+ n 0) into n 6.237 * [backup-simplify]: Simplify (- n) into (- n) 6.237 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.237 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.237 * [backup-simplify]: Simplify (* -1 -1) into 1 6.237 * [backup-simplify]: Simplify (exp 1) into E 6.237 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 6.237 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.237 * [taylor]: Taking taylor expansion of -1 in f 6.237 * [backup-simplify]: Simplify -1 into -1 6.237 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.237 * [taylor]: Taking taylor expansion of (+ n f) in f 6.237 * [taylor]: Taking taylor expansion of n in f 6.237 * [backup-simplify]: Simplify n into n 6.237 * [taylor]: Taking taylor expansion of f in f 6.237 * [backup-simplify]: Simplify 0 into 0 6.237 * [backup-simplify]: Simplify 1 into 1 6.237 * [taylor]: Taking taylor expansion of (- f n) in f 6.237 * [taylor]: Taking taylor expansion of f in f 6.237 * [backup-simplify]: Simplify 0 into 0 6.237 * [backup-simplify]: Simplify 1 into 1 6.237 * [taylor]: Taking taylor expansion of n in f 6.237 * [backup-simplify]: Simplify n into n 6.237 * [backup-simplify]: Simplify (+ n 0) into n 6.237 * [backup-simplify]: Simplify (- n) into (- n) 6.237 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.237 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.238 * [backup-simplify]: Simplify (* -1 -1) into 1 6.238 * [backup-simplify]: Simplify (exp 1) into E 6.238 * [taylor]: Taking taylor expansion of E in n 6.238 * [backup-simplify]: Simplify E into E 6.238 * [backup-simplify]: Simplify E into E 6.238 * [backup-simplify]: Simplify (+ 0 1) into 1 6.239 * [backup-simplify]: Simplify (- 0) into 0 6.239 * [backup-simplify]: Simplify (+ 1 0) into 1 6.239 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.239 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.240 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 6.240 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 6.240 * [taylor]: Taking taylor expansion of 2 in n 6.240 * [backup-simplify]: Simplify 2 into 2 6.240 * [taylor]: Taking taylor expansion of (/ E n) in n 6.240 * [taylor]: Taking taylor expansion of E in n 6.240 * [backup-simplify]: Simplify E into E 6.240 * [taylor]: Taking taylor expansion of n in n 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify 1 into 1 6.240 * [backup-simplify]: Simplify (/ E 1) into E 6.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.241 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 6.241 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify 0 into 0 6.242 * [backup-simplify]: Simplify (+ 0 0) into 0 6.242 * [backup-simplify]: Simplify (- 0) into 0 6.242 * [backup-simplify]: Simplify (+ 0 0) into 0 6.242 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.243 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.243 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 6.243 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 6.243 * [taylor]: Taking taylor expansion of 4 in n 6.243 * [backup-simplify]: Simplify 4 into 4 6.243 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 6.243 * [taylor]: Taking taylor expansion of E in n 6.243 * [backup-simplify]: Simplify E into E 6.243 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.243 * [taylor]: Taking taylor expansion of n in n 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify 1 into 1 6.243 * [backup-simplify]: Simplify (* 1 1) into 1 6.244 * [backup-simplify]: Simplify (/ E 1) into E 6.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.246 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 6.246 * [backup-simplify]: Simplify 0 into 0 6.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.248 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [backup-simplify]: Simplify (+ 0 0) into 0 6.248 * [backup-simplify]: Simplify (- 0) into 0 6.248 * [backup-simplify]: Simplify (+ 0 0) into 0 6.249 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.249 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 6.250 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 6.250 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 6.250 * [taylor]: Taking taylor expansion of 22/3 in n 6.250 * [backup-simplify]: Simplify 22/3 into 22/3 6.250 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 6.250 * [taylor]: Taking taylor expansion of E in n 6.250 * [backup-simplify]: Simplify E into E 6.250 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.250 * [taylor]: Taking taylor expansion of n in n 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify 1 into 1 6.250 * [backup-simplify]: Simplify (* 1 1) into 1 6.250 * [backup-simplify]: Simplify (* 1 1) into 1 6.251 * [backup-simplify]: Simplify (/ E 1) into E 6.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.256 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify E into E 6.257 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 6.257 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 6.257 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 6.257 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.257 * [taylor]: Taking taylor expansion of -1 in n 6.257 * [backup-simplify]: Simplify -1 into -1 6.257 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.257 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.257 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.257 * [taylor]: Taking taylor expansion of f in n 6.257 * [backup-simplify]: Simplify f into f 6.257 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.257 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.257 * [taylor]: Taking taylor expansion of n in n 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 1 into 1 6.257 * [backup-simplify]: Simplify (/ 1 1) into 1 6.257 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.257 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.257 * [taylor]: Taking taylor expansion of f in n 6.257 * [backup-simplify]: Simplify f into f 6.257 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.257 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.257 * [taylor]: Taking taylor expansion of n in n 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 1 into 1 6.258 * [backup-simplify]: Simplify (/ 1 1) into 1 6.258 * [backup-simplify]: Simplify (+ 0 1) into 1 6.258 * [backup-simplify]: Simplify (- 1) into -1 6.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.259 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.259 * [backup-simplify]: Simplify (* -1 -1) into 1 6.259 * [backup-simplify]: Simplify (exp 1) into E 6.259 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 6.259 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.259 * [taylor]: Taking taylor expansion of -1 in f 6.259 * [backup-simplify]: Simplify -1 into -1 6.259 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.259 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.259 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.259 * [taylor]: Taking taylor expansion of f in f 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 1 into 1 6.259 * [backup-simplify]: Simplify (/ 1 1) into 1 6.259 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.259 * [taylor]: Taking taylor expansion of n in f 6.259 * [backup-simplify]: Simplify n into n 6.259 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.259 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.259 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.259 * [taylor]: Taking taylor expansion of f in f 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 1 into 1 6.260 * [backup-simplify]: Simplify (/ 1 1) into 1 6.260 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.260 * [taylor]: Taking taylor expansion of n in f 6.260 * [backup-simplify]: Simplify n into n 6.260 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.260 * [backup-simplify]: Simplify (+ 1 0) into 1 6.260 * [backup-simplify]: Simplify (+ 1 0) into 1 6.261 * [backup-simplify]: Simplify (/ 1 1) into 1 6.261 * [backup-simplify]: Simplify (* -1 1) into -1 6.262 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.262 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 6.262 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.262 * [taylor]: Taking taylor expansion of -1 in f 6.262 * [backup-simplify]: Simplify -1 into -1 6.262 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.262 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.262 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.262 * [taylor]: Taking taylor expansion of f in f 6.262 * [backup-simplify]: Simplify 0 into 0 6.262 * [backup-simplify]: Simplify 1 into 1 6.262 * [backup-simplify]: Simplify (/ 1 1) into 1 6.262 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.262 * [taylor]: Taking taylor expansion of n in f 6.262 * [backup-simplify]: Simplify n into n 6.262 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.262 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.262 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.262 * [taylor]: Taking taylor expansion of f in f 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify 1 into 1 6.263 * [backup-simplify]: Simplify (/ 1 1) into 1 6.263 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.263 * [taylor]: Taking taylor expansion of n in f 6.263 * [backup-simplify]: Simplify n into n 6.263 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.263 * [backup-simplify]: Simplify (+ 1 0) into 1 6.264 * [backup-simplify]: Simplify (+ 1 0) into 1 6.264 * [backup-simplify]: Simplify (/ 1 1) into 1 6.265 * [backup-simplify]: Simplify (* -1 1) into -1 6.265 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.265 * [taylor]: Taking taylor expansion of (exp -1) in n 6.265 * [taylor]: Taking taylor expansion of -1 in n 6.265 * [backup-simplify]: Simplify -1 into -1 6.266 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.266 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.267 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.268 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.268 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.268 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.269 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.269 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 6.269 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 6.269 * [taylor]: Taking taylor expansion of -2 in n 6.269 * [backup-simplify]: Simplify -2 into -2 6.269 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 6.269 * [taylor]: Taking taylor expansion of (exp -1) in n 6.269 * [taylor]: Taking taylor expansion of -1 in n 6.269 * [backup-simplify]: Simplify -1 into -1 6.270 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.270 * [taylor]: Taking taylor expansion of n in n 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify 1 into 1 6.271 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 6.272 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 6.274 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 6.274 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.275 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.276 * [backup-simplify]: Simplify (+ 0 0) into 0 6.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.278 * [backup-simplify]: Simplify (- 0) into 0 6.278 * [backup-simplify]: Simplify (+ 0 0) into 0 6.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.280 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.281 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 6.281 * [taylor]: Taking taylor expansion of 0 in n 6.281 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.288 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 6.288 * [backup-simplify]: Simplify 0 into 0 6.290 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.290 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.291 * [backup-simplify]: Simplify (+ 0 0) into 0 6.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.293 * [backup-simplify]: Simplify (- 0) into 0 6.293 * [backup-simplify]: Simplify (+ 0 0) into 0 6.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 6.296 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.297 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 6.297 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 6.297 * [taylor]: Taking taylor expansion of 2/3 in n 6.297 * [backup-simplify]: Simplify 2/3 into 2/3 6.297 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 6.297 * [taylor]: Taking taylor expansion of (exp -1) in n 6.297 * [taylor]: Taking taylor expansion of -1 in n 6.297 * [backup-simplify]: Simplify -1 into -1 6.298 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.298 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.298 * [taylor]: Taking taylor expansion of n in n 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify 1 into 1 6.298 * [backup-simplify]: Simplify (* 1 1) into 1 6.299 * [backup-simplify]: Simplify (* 1 1) into 1 6.300 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 6.302 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.307 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 6.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.311 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.314 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 6.314 * [backup-simplify]: Simplify 0 into 0 6.315 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.315 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 6.315 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 6.315 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 6.315 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.315 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.315 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.315 * [taylor]: Taking taylor expansion of f in n 6.315 * [backup-simplify]: Simplify f into f 6.315 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.316 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.316 * [taylor]: Taking taylor expansion of n in n 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify 1 into 1 6.316 * [backup-simplify]: Simplify (/ 1 1) into 1 6.316 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.316 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.316 * [taylor]: Taking taylor expansion of n in n 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify 1 into 1 6.316 * [backup-simplify]: Simplify (/ 1 1) into 1 6.316 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.316 * [taylor]: Taking taylor expansion of f in n 6.317 * [backup-simplify]: Simplify f into f 6.317 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.317 * [backup-simplify]: Simplify (+ 0 1) into 1 6.317 * [backup-simplify]: Simplify (+ 1 0) into 1 6.318 * [backup-simplify]: Simplify (/ 1 1) into 1 6.318 * [backup-simplify]: Simplify (exp 1) into E 6.318 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 6.318 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.318 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.318 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.318 * [taylor]: Taking taylor expansion of f in f 6.318 * [backup-simplify]: Simplify 0 into 0 6.318 * [backup-simplify]: Simplify 1 into 1 6.318 * [backup-simplify]: Simplify (/ 1 1) into 1 6.318 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.319 * [taylor]: Taking taylor expansion of n in f 6.319 * [backup-simplify]: Simplify n into n 6.319 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.319 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.319 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.319 * [taylor]: Taking taylor expansion of n in f 6.319 * [backup-simplify]: Simplify n into n 6.319 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.319 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.319 * [taylor]: Taking taylor expansion of f in f 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify 1 into 1 6.319 * [backup-simplify]: Simplify (/ 1 1) into 1 6.320 * [backup-simplify]: Simplify (+ 1 0) into 1 6.320 * [backup-simplify]: Simplify (- 1) into -1 6.320 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.321 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.321 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.321 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 6.321 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.321 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.321 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.321 * [taylor]: Taking taylor expansion of f in f 6.321 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify 1 into 1 6.322 * [backup-simplify]: Simplify (/ 1 1) into 1 6.322 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.322 * [taylor]: Taking taylor expansion of n in f 6.322 * [backup-simplify]: Simplify n into n 6.322 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.322 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.322 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.322 * [taylor]: Taking taylor expansion of n in f 6.322 * [backup-simplify]: Simplify n into n 6.322 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.322 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.322 * [taylor]: Taking taylor expansion of f in f 6.322 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify 1 into 1 6.323 * [backup-simplify]: Simplify (/ 1 1) into 1 6.323 * [backup-simplify]: Simplify (+ 1 0) into 1 6.323 * [backup-simplify]: Simplify (- 1) into -1 6.324 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.324 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.325 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.325 * [taylor]: Taking taylor expansion of (exp -1) in n 6.325 * [taylor]: Taking taylor expansion of -1 in n 6.325 * [backup-simplify]: Simplify -1 into -1 6.325 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.326 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.327 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.328 * [backup-simplify]: Simplify (- 0) into 0 6.328 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.328 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.328 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 6.329 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 6.329 * [taylor]: Taking taylor expansion of -2 in n 6.329 * [backup-simplify]: Simplify -2 into -2 6.329 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 6.329 * [taylor]: Taking taylor expansion of (exp -1) in n 6.329 * [taylor]: Taking taylor expansion of -1 in n 6.329 * [backup-simplify]: Simplify -1 into -1 6.329 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.329 * [taylor]: Taking taylor expansion of n in n 6.329 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify 1 into 1 6.330 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 6.331 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 6.333 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 6.333 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.334 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.336 * [backup-simplify]: Simplify (+ 0 0) into 0 6.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.337 * [backup-simplify]: Simplify (- 0) into 0 6.337 * [backup-simplify]: Simplify (+ 0 0) into 0 6.338 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.339 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 6.339 * [taylor]: Taking taylor expansion of 0 in n 6.339 * [backup-simplify]: Simplify 0 into 0 6.339 * [backup-simplify]: Simplify 0 into 0 6.341 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.344 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 6.344 * [backup-simplify]: Simplify 0 into 0 6.346 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.346 * [backup-simplify]: Simplify 0 into 0 6.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.348 * [backup-simplify]: Simplify (+ 0 0) into 0 6.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.349 * [backup-simplify]: Simplify (- 0) into 0 6.350 * [backup-simplify]: Simplify (+ 0 0) into 0 6.352 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.353 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 6.353 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 6.353 * [taylor]: Taking taylor expansion of 2/3 in n 6.353 * [backup-simplify]: Simplify 2/3 into 2/3 6.353 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 6.353 * [taylor]: Taking taylor expansion of (exp -1) in n 6.353 * [taylor]: Taking taylor expansion of -1 in n 6.353 * [backup-simplify]: Simplify -1 into -1 6.354 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.354 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.354 * [taylor]: Taking taylor expansion of n in n 6.354 * [backup-simplify]: Simplify 0 into 0 6.354 * [backup-simplify]: Simplify 1 into 1 6.354 * [backup-simplify]: Simplify (* 1 1) into 1 6.355 * [backup-simplify]: Simplify (* 1 1) into 1 6.356 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 6.358 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.363 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 6.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.368 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.372 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 6.372 * [backup-simplify]: Simplify 0 into 0 6.372 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.372 * * * * [progress]: [ 3 / 3 ] generating series at (2) 6.372 * [backup-simplify]: Simplify (log (exp (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) 6.373 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.373 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.373 * [taylor]: Taking taylor expansion of -1 in n 6.373 * [backup-simplify]: Simplify -1 into -1 6.373 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.373 * [taylor]: Taking taylor expansion of (+ n f) in n 6.373 * [taylor]: Taking taylor expansion of n in n 6.373 * [backup-simplify]: Simplify 0 into 0 6.373 * [backup-simplify]: Simplify 1 into 1 6.373 * [taylor]: Taking taylor expansion of f in n 6.373 * [backup-simplify]: Simplify f into f 6.373 * [taylor]: Taking taylor expansion of (- f n) in n 6.373 * [taylor]: Taking taylor expansion of f in n 6.373 * [backup-simplify]: Simplify f into f 6.373 * [taylor]: Taking taylor expansion of n in n 6.373 * [backup-simplify]: Simplify 0 into 0 6.373 * [backup-simplify]: Simplify 1 into 1 6.373 * [backup-simplify]: Simplify (+ 0 f) into f 6.373 * [backup-simplify]: Simplify (- 0) into 0 6.373 * [backup-simplify]: Simplify (+ f 0) into f 6.374 * [backup-simplify]: Simplify (/ f f) into 1 6.374 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.374 * [taylor]: Taking taylor expansion of -1 in f 6.374 * [backup-simplify]: Simplify -1 into -1 6.374 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.374 * [taylor]: Taking taylor expansion of (+ n f) in f 6.374 * [taylor]: Taking taylor expansion of n in f 6.374 * [backup-simplify]: Simplify n into n 6.374 * [taylor]: Taking taylor expansion of f in f 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 1 into 1 6.374 * [taylor]: Taking taylor expansion of (- f n) in f 6.374 * [taylor]: Taking taylor expansion of f in f 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 1 into 1 6.374 * [taylor]: Taking taylor expansion of n in f 6.374 * [backup-simplify]: Simplify n into n 6.374 * [backup-simplify]: Simplify (+ n 0) into n 6.374 * [backup-simplify]: Simplify (- n) into (- n) 6.374 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.374 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.374 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.374 * [taylor]: Taking taylor expansion of -1 in f 6.374 * [backup-simplify]: Simplify -1 into -1 6.374 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.374 * [taylor]: Taking taylor expansion of (+ n f) in f 6.374 * [taylor]: Taking taylor expansion of n in f 6.374 * [backup-simplify]: Simplify n into n 6.374 * [taylor]: Taking taylor expansion of f in f 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 1 into 1 6.374 * [taylor]: Taking taylor expansion of (- f n) in f 6.374 * [taylor]: Taking taylor expansion of f in f 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 1 into 1 6.374 * [taylor]: Taking taylor expansion of n in f 6.375 * [backup-simplify]: Simplify n into n 6.375 * [backup-simplify]: Simplify (+ n 0) into n 6.375 * [backup-simplify]: Simplify (- n) into (- n) 6.375 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.375 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.375 * [backup-simplify]: Simplify (* -1 -1) into 1 6.375 * [taylor]: Taking taylor expansion of 1 in n 6.375 * [backup-simplify]: Simplify 1 into 1 6.376 * [backup-simplify]: Simplify 1 into 1 6.376 * [backup-simplify]: Simplify (+ 0 1) into 1 6.376 * [backup-simplify]: Simplify (- 0) into 0 6.377 * [backup-simplify]: Simplify (+ 1 0) into 1 6.377 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.378 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.378 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.378 * [taylor]: Taking taylor expansion of 2 in n 6.378 * [backup-simplify]: Simplify 2 into 2 6.378 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.379 * [taylor]: Taking taylor expansion of n in n 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify 1 into 1 6.379 * [backup-simplify]: Simplify (/ 1 1) into 1 6.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.381 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.381 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify (+ 0 0) into 0 6.382 * [backup-simplify]: Simplify (- 0) into 0 6.382 * [backup-simplify]: Simplify (+ 0 0) into 0 6.382 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.384 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.384 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.384 * [taylor]: Taking taylor expansion of 2 in n 6.384 * [backup-simplify]: Simplify 2 into 2 6.384 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.384 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.384 * [taylor]: Taking taylor expansion of n in n 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify 1 into 1 6.384 * [backup-simplify]: Simplify (* 1 1) into 1 6.385 * [backup-simplify]: Simplify (/ 1 1) into 1 6.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.389 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.389 * [backup-simplify]: Simplify 0 into 0 6.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.391 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.391 * [backup-simplify]: Simplify 0 into 0 6.391 * [backup-simplify]: Simplify 0 into 0 6.391 * [backup-simplify]: Simplify (+ 0 0) into 0 6.392 * [backup-simplify]: Simplify (- 0) into 0 6.392 * [backup-simplify]: Simplify (+ 0 0) into 0 6.393 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.393 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 6.394 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.394 * [taylor]: Taking taylor expansion of 2 in n 6.394 * [backup-simplify]: Simplify 2 into 2 6.394 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.394 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.394 * [taylor]: Taking taylor expansion of n in n 6.394 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify 1 into 1 6.394 * [backup-simplify]: Simplify (* 1 1) into 1 6.394 * [backup-simplify]: Simplify (* 1 1) into 1 6.395 * [backup-simplify]: Simplify (/ 1 1) into 1 6.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.404 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.404 * [backup-simplify]: Simplify 0 into 0 6.404 * [backup-simplify]: Simplify 1 into 1 6.404 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.404 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.404 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.404 * [taylor]: Taking taylor expansion of -1 in n 6.404 * [backup-simplify]: Simplify -1 into -1 6.404 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.404 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.404 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.404 * [taylor]: Taking taylor expansion of f in n 6.404 * [backup-simplify]: Simplify f into f 6.404 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.404 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.404 * [taylor]: Taking taylor expansion of n in n 6.404 * [backup-simplify]: Simplify 0 into 0 6.405 * [backup-simplify]: Simplify 1 into 1 6.405 * [backup-simplify]: Simplify (/ 1 1) into 1 6.405 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.405 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.405 * [taylor]: Taking taylor expansion of f in n 6.405 * [backup-simplify]: Simplify f into f 6.405 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.405 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.405 * [taylor]: Taking taylor expansion of n in n 6.405 * [backup-simplify]: Simplify 0 into 0 6.405 * [backup-simplify]: Simplify 1 into 1 6.406 * [backup-simplify]: Simplify (/ 1 1) into 1 6.406 * [backup-simplify]: Simplify (+ 0 1) into 1 6.406 * [backup-simplify]: Simplify (- 1) into -1 6.407 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.407 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.407 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.407 * [taylor]: Taking taylor expansion of -1 in f 6.407 * [backup-simplify]: Simplify -1 into -1 6.407 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.407 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.407 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.407 * [taylor]: Taking taylor expansion of f in f 6.407 * [backup-simplify]: Simplify 0 into 0 6.407 * [backup-simplify]: Simplify 1 into 1 6.408 * [backup-simplify]: Simplify (/ 1 1) into 1 6.408 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.408 * [taylor]: Taking taylor expansion of n in f 6.408 * [backup-simplify]: Simplify n into n 6.408 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.408 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.408 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.408 * [taylor]: Taking taylor expansion of f in f 6.408 * [backup-simplify]: Simplify 0 into 0 6.408 * [backup-simplify]: Simplify 1 into 1 6.408 * [backup-simplify]: Simplify (/ 1 1) into 1 6.408 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.408 * [taylor]: Taking taylor expansion of n in f 6.409 * [backup-simplify]: Simplify n into n 6.409 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.409 * [backup-simplify]: Simplify (+ 1 0) into 1 6.409 * [backup-simplify]: Simplify (+ 1 0) into 1 6.410 * [backup-simplify]: Simplify (/ 1 1) into 1 6.410 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.410 * [taylor]: Taking taylor expansion of -1 in f 6.410 * [backup-simplify]: Simplify -1 into -1 6.410 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.410 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.410 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.410 * [taylor]: Taking taylor expansion of f in f 6.410 * [backup-simplify]: Simplify 0 into 0 6.410 * [backup-simplify]: Simplify 1 into 1 6.410 * [backup-simplify]: Simplify (/ 1 1) into 1 6.410 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.410 * [taylor]: Taking taylor expansion of n in f 6.410 * [backup-simplify]: Simplify n into n 6.411 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.411 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.411 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.411 * [taylor]: Taking taylor expansion of f in f 6.411 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify 1 into 1 6.411 * [backup-simplify]: Simplify (/ 1 1) into 1 6.411 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.411 * [taylor]: Taking taylor expansion of n in f 6.411 * [backup-simplify]: Simplify n into n 6.411 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.412 * [backup-simplify]: Simplify (+ 1 0) into 1 6.412 * [backup-simplify]: Simplify (+ 1 0) into 1 6.413 * [backup-simplify]: Simplify (/ 1 1) into 1 6.413 * [backup-simplify]: Simplify (* -1 1) into -1 6.413 * [taylor]: Taking taylor expansion of -1 in n 6.413 * [backup-simplify]: Simplify -1 into -1 6.413 * [backup-simplify]: Simplify -1 into -1 6.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.414 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.415 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.415 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.416 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.416 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.416 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.416 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.416 * [taylor]: Taking taylor expansion of 2 in n 6.416 * [backup-simplify]: Simplify 2 into 2 6.416 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.416 * [taylor]: Taking taylor expansion of n in n 6.416 * [backup-simplify]: Simplify 0 into 0 6.416 * [backup-simplify]: Simplify 1 into 1 6.417 * [backup-simplify]: Simplify (/ 1 1) into 1 6.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.418 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.419 * [backup-simplify]: Simplify (- 0) into 0 6.419 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify 0 into 0 6.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.420 * [backup-simplify]: Simplify (+ 0 0) into 0 6.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.422 * [backup-simplify]: Simplify (- 0) into 0 6.422 * [backup-simplify]: Simplify (+ 0 0) into 0 6.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.424 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.424 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.424 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.424 * [taylor]: Taking taylor expansion of 2 in n 6.424 * [backup-simplify]: Simplify 2 into 2 6.424 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.424 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.424 * [taylor]: Taking taylor expansion of n in n 6.424 * [backup-simplify]: Simplify 0 into 0 6.424 * [backup-simplify]: Simplify 1 into 1 6.424 * [backup-simplify]: Simplify (* 1 1) into 1 6.425 * [backup-simplify]: Simplify (/ 1 1) into 1 6.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.429 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.429 * [backup-simplify]: Simplify (- 0) into 0 6.429 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.431 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.432 * [backup-simplify]: Simplify (- 0) into 0 6.432 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify 0 into 0 6.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.435 * [backup-simplify]: Simplify (+ 0 0) into 0 6.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.437 * [backup-simplify]: Simplify (- 0) into 0 6.437 * [backup-simplify]: Simplify (+ 0 0) into 0 6.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 6.440 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.440 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.440 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.440 * [taylor]: Taking taylor expansion of 2 in n 6.440 * [backup-simplify]: Simplify 2 into 2 6.440 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.440 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.440 * [taylor]: Taking taylor expansion of n in n 6.440 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify 1 into 1 6.441 * [backup-simplify]: Simplify (* 1 1) into 1 6.441 * [backup-simplify]: Simplify (* 1 1) into 1 6.441 * [backup-simplify]: Simplify (/ 1 1) into 1 6.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.451 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.451 * [backup-simplify]: Simplify (- 0) into 0 6.451 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify -1 into -1 6.451 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.451 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.452 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.452 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.452 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.452 * [taylor]: Taking taylor expansion of f in n 6.452 * [backup-simplify]: Simplify f into f 6.452 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.452 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.452 * [taylor]: Taking taylor expansion of n in n 6.452 * [backup-simplify]: Simplify 0 into 0 6.452 * [backup-simplify]: Simplify 1 into 1 6.452 * [backup-simplify]: Simplify (/ 1 1) into 1 6.452 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.452 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.452 * [taylor]: Taking taylor expansion of n in n 6.452 * [backup-simplify]: Simplify 0 into 0 6.452 * [backup-simplify]: Simplify 1 into 1 6.453 * [backup-simplify]: Simplify (/ 1 1) into 1 6.453 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.453 * [taylor]: Taking taylor expansion of f in n 6.453 * [backup-simplify]: Simplify f into f 6.453 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.453 * [backup-simplify]: Simplify (+ 0 1) into 1 6.454 * [backup-simplify]: Simplify (+ 1 0) into 1 6.454 * [backup-simplify]: Simplify (/ 1 1) into 1 6.454 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.454 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.454 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.454 * [taylor]: Taking taylor expansion of f in f 6.454 * [backup-simplify]: Simplify 0 into 0 6.454 * [backup-simplify]: Simplify 1 into 1 6.455 * [backup-simplify]: Simplify (/ 1 1) into 1 6.455 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.455 * [taylor]: Taking taylor expansion of n in f 6.455 * [backup-simplify]: Simplify n into n 6.455 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.455 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.455 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.455 * [taylor]: Taking taylor expansion of n in f 6.455 * [backup-simplify]: Simplify n into n 6.455 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.455 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.455 * [taylor]: Taking taylor expansion of f in f 6.455 * [backup-simplify]: Simplify 0 into 0 6.455 * [backup-simplify]: Simplify 1 into 1 6.455 * [backup-simplify]: Simplify (/ 1 1) into 1 6.456 * [backup-simplify]: Simplify (+ 1 0) into 1 6.456 * [backup-simplify]: Simplify (- 1) into -1 6.457 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.457 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.457 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.457 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.457 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.457 * [taylor]: Taking taylor expansion of f in f 6.457 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify 1 into 1 6.458 * [backup-simplify]: Simplify (/ 1 1) into 1 6.458 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.458 * [taylor]: Taking taylor expansion of n in f 6.458 * [backup-simplify]: Simplify n into n 6.458 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.458 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.458 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.458 * [taylor]: Taking taylor expansion of n in f 6.458 * [backup-simplify]: Simplify n into n 6.458 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.458 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.458 * [taylor]: Taking taylor expansion of f in f 6.458 * [backup-simplify]: Simplify 0 into 0 6.458 * [backup-simplify]: Simplify 1 into 1 6.458 * [backup-simplify]: Simplify (/ 1 1) into 1 6.459 * [backup-simplify]: Simplify (+ 1 0) into 1 6.459 * [backup-simplify]: Simplify (- 1) into -1 6.460 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.460 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.460 * [taylor]: Taking taylor expansion of -1 in n 6.460 * [backup-simplify]: Simplify -1 into -1 6.460 * [backup-simplify]: Simplify -1 into -1 6.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.461 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.462 * [backup-simplify]: Simplify (- 0) into 0 6.462 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.462 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.462 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.462 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.462 * [taylor]: Taking taylor expansion of 2 in n 6.462 * [backup-simplify]: Simplify 2 into 2 6.462 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.462 * [taylor]: Taking taylor expansion of n in n 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 1 into 1 6.463 * [backup-simplify]: Simplify (/ 1 1) into 1 6.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.464 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.465 * [backup-simplify]: Simplify (- 0) into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.466 * [backup-simplify]: Simplify (+ 0 0) into 0 6.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.468 * [backup-simplify]: Simplify (- 0) into 0 6.468 * [backup-simplify]: Simplify (+ 0 0) into 0 6.469 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.470 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.470 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.470 * [taylor]: Taking taylor expansion of 2 in n 6.470 * [backup-simplify]: Simplify 2 into 2 6.470 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.470 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.470 * [taylor]: Taking taylor expansion of n in n 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 1 into 1 6.470 * [backup-simplify]: Simplify (* 1 1) into 1 6.470 * [backup-simplify]: Simplify (/ 1 1) into 1 6.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.475 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.475 * [backup-simplify]: Simplify (- 0) into 0 6.475 * [backup-simplify]: Simplify 0 into 0 6.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.477 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.478 * [backup-simplify]: Simplify (- 0) into 0 6.478 * [backup-simplify]: Simplify 0 into 0 6.478 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.479 * [backup-simplify]: Simplify (+ 0 0) into 0 6.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.481 * [backup-simplify]: Simplify (- 0) into 0 6.481 * [backup-simplify]: Simplify (+ 0 0) into 0 6.483 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.483 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.483 * [taylor]: Taking taylor expansion of 2 in n 6.483 * [backup-simplify]: Simplify 2 into 2 6.483 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.483 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.483 * [taylor]: Taking taylor expansion of n in n 6.483 * [backup-simplify]: Simplify 0 into 0 6.483 * [backup-simplify]: Simplify 1 into 1 6.483 * [backup-simplify]: Simplify (* 1 1) into 1 6.484 * [backup-simplify]: Simplify (* 1 1) into 1 6.484 * [backup-simplify]: Simplify (/ 1 1) into 1 6.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.493 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.493 * [backup-simplify]: Simplify (- 0) into 0 6.493 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify -1 into -1 6.493 * * * [progress]: simplifying candidates 6.493 * * * * [progress]: [ 1 / 270 ] simplifiying candidate # 6.494 * * * * [progress]: [ 2 / 270 ] simplifiying candidate # 6.494 * * * * [progress]: [ 3 / 270 ] simplifiying candidate # 6.494 * * * * [progress]: [ 4 / 270 ] simplifiying candidate # 6.494 * * * * [progress]: [ 5 / 270 ] simplifiying candidate # 6.494 * * * * [progress]: [ 6 / 270 ] simplifiying candidate # 6.494 * * * * [progress]: [ 7 / 270 ] simplifiying candidate # 6.494 * * * * [progress]: [ 8 / 270 ] simplifiying candidate # 6.494 * * * * [progress]: [ 9 / 270 ] simplifiying candidate # 6.494 * * * * [progress]: [ 10 / 270 ] simplifiying candidate # 6.494 * * * * [progress]: [ 11 / 270 ] simplifiying candidate # 6.494 * * * * [progress]: [ 12 / 270 ] simplifiying candidate # 6.494 * * * * [progress]: [ 13 / 270 ] simplifiying candidate # 6.494 * * * * [progress]: [ 14 / 270 ] simplifiying candidate # 6.494 * * * * [progress]: [ 15 / 270 ] simplifiying candidate # 6.494 * * * * [progress]: [ 16 / 270 ] simplifiying candidate # 6.495 * * * * [progress]: [ 17 / 270 ] simplifiying candidate # 6.495 * * * * [progress]: [ 18 / 270 ] simplifiying 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6.497 * * * * [progress]: [ 50 / 270 ] simplifiying candidate # 6.497 * * * * [progress]: [ 51 / 270 ] simplifiying candidate # 6.497 * * * * [progress]: [ 52 / 270 ] simplifiying candidate # 6.497 * * * * [progress]: [ 53 / 270 ] simplifiying candidate # 6.497 * * * * [progress]: [ 54 / 270 ] simplifiying candidate # 6.497 * * * * [progress]: [ 55 / 270 ] simplifiying candidate # 6.497 * * * * [progress]: [ 56 / 270 ] simplifiying candidate # 6.497 * * * * [progress]: [ 57 / 270 ] simplifiying candidate # 6.497 * * * * [progress]: [ 58 / 270 ] simplifiying candidate # 6.497 * * * * [progress]: [ 59 / 270 ] simplifiying candidate # 6.497 * * * * [progress]: [ 60 / 270 ] simplifiying candidate # 6.497 * * * * [progress]: [ 61 / 270 ] simplifiying candidate # 6.498 * * * * [progress]: [ 62 / 270 ] simplifiying candidate # 6.498 * * * * [progress]: [ 63 / 270 ] simplifiying candidate # 6.498 * * * * [progress]: [ 64 / 270 ] simplifiying candidate # 6.498 * * * * [progress]: [ 65 / 270 ] 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candidate # 6.500 * * * * [progress]: [ 97 / 270 ] simplifiying candidate # 6.500 * * * * [progress]: [ 98 / 270 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))))> 6.500 * * * * [progress]: [ 99 / 270 ] simplifiying candidate # 6.500 * * * * [progress]: [ 100 / 270 ] simplifiying candidate # 6.500 * * * * [progress]: [ 101 / 270 ] simplifiying candidate # 6.500 * * * * [progress]: [ 102 / 270 ] simplifiying candidate # 6.500 * * * * [progress]: [ 103 / 270 ] simplifiying candidate # 6.500 * * * * [progress]: [ 104 / 270 ] simplifiying candidate # 6.500 * * * * [progress]: [ 105 / 270 ] simplifiying candidate # 6.500 * * * * [progress]: [ 106 / 270 ] simplifiying candidate # 6.500 * * * * [progress]: [ 107 / 270 ] simplifiying candidate # 6.500 * * * * [progress]: [ 108 / 270 ] simplifiying candidate # 6.500 * * * * [progress]: [ 109 / 270 ] simplifiying candidate # 6.501 * * * * [progress]: [ 110 / 270 ] simplifiying candidate # 6.501 * * * * [progress]: [ 111 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candidate # 6.502 * * * * [progress]: [ 127 / 270 ] simplifiying candidate # 6.502 * * * * [progress]: [ 128 / 270 ] simplifiying candidate # 6.502 * * * * [progress]: [ 129 / 270 ] simplifiying candidate # 6.502 * * * * [progress]: [ 130 / 270 ] simplifiying candidate # 6.502 * * * * [progress]: [ 131 / 270 ] simplifiying candidate # 6.502 * * * * [progress]: [ 132 / 270 ] simplifiying candidate # 6.502 * * * * [progress]: [ 133 / 270 ] simplifiying candidate # 6.502 * * * * [progress]: [ 134 / 270 ] simplifiying candidate # 6.502 * * * * [progress]: [ 135 / 270 ] simplifiying candidate # 6.502 * * * * [progress]: [ 136 / 270 ] simplifiying candidate # 6.502 * * * * [progress]: [ 137 / 270 ] simplifiying candidate # 6.502 * * * * [progress]: [ 138 / 270 ] simplifiying candidate # 6.502 * * * * [progress]: [ 139 / 270 ] simplifiying candidate # 6.503 * * * * [progress]: [ 140 / 270 ] simplifiying candidate # 6.503 * * * * [progress]: [ 141 / 270 ] simplifiying candidate # 6.503 * * * * 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6.505 * * * * [progress]: [ 173 / 270 ] simplifiying candidate # 6.505 * * * * [progress]: [ 174 / 270 ] simplifiying candidate # 6.505 * * * * [progress]: [ 175 / 270 ] simplifiying candidate # 6.505 * * * * [progress]: [ 176 / 270 ] simplifiying candidate # 6.505 * * * * [progress]: [ 177 / 270 ] simplifiying candidate #real (real->posit16 (exp (/ (- (+ f n)) (- f n)))))))> 6.505 * * * * [progress]: [ 178 / 270 ] simplifiying candidate # 6.505 * * * * [progress]: [ 179 / 270 ] simplifiying candidate # 6.505 * * * * [progress]: [ 180 / 270 ] simplifiying candidate # 6.505 * * * * [progress]: [ 181 / 270 ] simplifiying candidate # 6.505 * * * * [progress]: [ 182 / 270 ] simplifiying candidate # 6.505 * * * * [progress]: [ 183 / 270 ] simplifiying candidate # 6.505 * * * * [progress]: [ 184 / 270 ] simplifiying candidate # 6.505 * * * * [progress]: [ 185 / 270 ] simplifiying candidate # 6.505 * * * * [progress]: [ 186 / 270 ] simplifiying candidate # 6.505 * * * * [progress]: [ 187 / 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6.508 * * * * [progress]: [ 249 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 250 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 251 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 252 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 253 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 254 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 255 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 256 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 257 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 258 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 259 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 260 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 261 / 270 ] simplifiying candidate #real (real->posit16 (log (exp (/ (- (+ f n)) (- f n)))))))> 6.508 * * * * [progress]: [ 262 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 263 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 264 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 265 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 266 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 267 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 268 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 269 / 270 ] simplifiying candidate # 6.508 * * * * [progress]: [ 270 / 270 ] simplifiying candidate # 6.510 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) 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1 -1 -1 E (exp -1) (exp -1) 1 -1 -1 6.513 * * [simplify]: iteration 0: 250 enodes 6.580 * * [simplify]: iteration 1: 451 enodes 6.690 * * [simplify]: iteration 2: 926 enodes 7.068 * * [simplify]: iteration 3: 2838 enodes 7.964 * * [simplify]: iteration complete: 5004 enodes 7.964 * * [simplify]: Extracting #0: cost 138 inf + 0 7.966 * * [simplify]: Extracting #1: cost 673 inf + 4 7.970 * * [simplify]: Extracting #2: cost 1049 inf + 2696 7.984 * * [simplify]: Extracting #3: cost 886 inf + 64545 8.064 * * [simplify]: Extracting #4: cost 242 inf + 218984 8.136 * * [simplify]: Extracting #5: cost 49 inf + 277118 8.231 * * [simplify]: Extracting #6: cost 8 inf + 287596 8.309 * * [simplify]: Extracting #7: cost 0 inf + 289620 8.398 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (- (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n)))) (* (cbrt 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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))) (* (- f n) (fma (- n f) n (* f f))) (* (- f n) (- f n)) (real->posit16 (/ (- (+ f n)) (- f n))) (expm1 (exp (/ (- (+ f n)) (- f n)))) (log1p (exp (/ (- (+ f n)) (- f n)))) (exp (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (exp (sqrt (/ (- (+ f n)) (- f n)))) (exp (* (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (cbrt (- (+ f n))) (cbrt (- f n))))) (exp (* (/ (cbrt (- (+ f n))) (sqrt (- f n))) (cbrt (- (+ f n))))) (exp (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt n) (sqrt f)))) (exp (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (exp (/ (/ (sqrt (- (+ f n))) (cbrt (- f n))) (cbrt (- f n)))) (exp (/ (sqrt (- (+ f n))) (sqrt (- f n)))) (exp (sqrt (- (+ f n)))) (exp (/ (sqrt (- (+ f n))) (+ (sqrt n) (sqrt f)))) (exp (sqrt (- (+ f n)))) (exp (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt n) (sqrt f)))) E (exp (/ (/ -1 (cbrt (- f n))) (cbrt (- f n)))) (exp (/ -1 (sqrt (- f n)))) (/ 1 E) (exp (/ -1 (+ (sqrt n) (sqrt f)))) (/ 1 E) (exp (- (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))))) (exp (* (/ (cbrt (+ f n)) (sqrt (- f n))) (- (cbrt (+ f n))))) (exp (* (cbrt (+ f n)) (- (cbrt (+ f n))))) (exp (* (- (cbrt (+ f n))) (/ (cbrt (+ f n)) (+ (sqrt n) (sqrt f))))) (exp (* (cbrt (+ f n)) (- (cbrt (+ f n))))) (exp (/ (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (cbrt (- f n)))) (exp (/ (- (sqrt (+ f n))) (sqrt (- f n)))) (exp (- (sqrt (+ f n)))) (exp (/ (- (sqrt (+ f n))) (+ (sqrt n) (sqrt f)))) (exp (- (sqrt (+ f n)))) (exp (/ (/ -1 (cbrt (- f n))) (cbrt (- f n)))) (exp (/ -1 (sqrt (- f n)))) (/ 1 E) (exp (/ -1 (+ (sqrt n) (sqrt f)))) (/ 1 E) (exp (/ (/ -1 (cbrt (- f n))) (cbrt (- f n)))) (exp (/ -1 (sqrt (- f n)))) (/ 1 E) (exp (/ -1 (+ (sqrt n) (sqrt f)))) (/ 1 E) (exp (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n))))) (exp (* (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (+ f n)))) (exp (* (cbrt (+ f n)) (cbrt (+ f n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt n) (sqrt f)))) (exp (* (cbrt (+ f n)) (cbrt (+ f n)))) (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (+ f n)) (sqrt (- f n)))) (exp (sqrt (+ f n))) (exp (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f)))) (exp (sqrt (+ f n))) (exp (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt n) (sqrt f)))) E (exp (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt n) (sqrt f)))) E E (exp (- (+ f n))) (exp (/ (- (+ f n)) (- (* f (* f f)) (* (* n n) n)))) (exp (- (/ 1 (- f n)))) (exp (/ (+ f n) (- f n))) 1 (exp (/ (+ f n) (- f n))) (/ (- (+ f n)) (- f n)) (exp (exp (/ (- (+ f n)) (- f n)))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (exp (* 3 (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) (real->posit16 (exp (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n)))))) (log (cbrt (exp (/ (- (+ f n)) (- f n))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))) 0 (/ (- (+ f n)) (- f n)) 0 (/ (+ f n) (- f n)) 0 (/ (+ f n) (- f n)) (/ (+ f n) (- f n)) (/ (- (+ f n)) (- f n)) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (sqrt (/ (- (+ f n)) (- 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))) (cbrt (- (+ f n)))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt n) (sqrt f))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (/ (sqrt (- (+ f n))) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (+ (sqrt n) (sqrt f))) (sqrt (- (+ f n))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt n) (sqrt f))) 1 (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt n) (sqrt f))) -1 (- (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n))))) (* (/ (cbrt (+ f n)) (sqrt (- f n))) (- (cbrt (+ f n)))) (* (cbrt (+ f n)) (- (cbrt (+ f n)))) (* (- (cbrt (+ f n))) (/ (cbrt (+ f n)) (+ (sqrt n) (sqrt f)))) (* (cbrt (+ f n)) (- (cbrt (+ f n)))) (/ (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (- (sqrt (+ f n))) (+ (sqrt n) (sqrt f))) (- (sqrt (+ f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt n) (sqrt f))) -1 (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt n) (sqrt f))) -1 (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (* (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt n) (sqrt f))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f))) (sqrt (+ f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt n) (sqrt f))) 1 (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt n) (sqrt f))) 1 1 (- (+ f n)) (/ (- (+ f n)) (- (* f (* f f)) (* (* n n) n))) (- (/ 1 (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (- (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n)))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (real->posit16 (/ (- (+ f n)) (- f n))) 1 -1 -1 E (/ 1 E) (/ 1 E) 1 -1 -1 8.422 * * * [progress]: adding candidates to table 9.335 * * [progress]: iteration 4 / 4 9.335 * * * [progress]: picking best candidate 9.341 * * * * [pick]: Picked # 9.341 * * * [progress]: localizing error 9.368 * * * [progress]: generating rewritten candidates 9.368 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 9.369 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 9.369 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 9.423 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 9.521 * * * [progress]: generating series expansions 9.521 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.521 * [backup-simplify]: Simplify (expm1 (log1p (exp (/ (- (+ f n)) (- f n))))) into (expm1 (log1p (exp (* -1 (/ (+ n f) (- f n)))))) 9.521 * [approximate]: Taking taylor expansion of (expm1 (log1p (exp (* -1 (/ (+ n f) (- f n)))))) in (f n) around 0 9.521 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (* -1 (/ (+ n f) (- f n)))))) in n 9.523 * [taylor]: Rewrote expression to (- (exp (log1p (exp (* -1 (/ (+ n f) (- f n)))))) 1) 9.523 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* -1 (/ (+ n f) (- f n)))))) in n 9.523 * [taylor]: Taking taylor expansion of (log1p (exp (* -1 (/ (+ n f) (- f n))))) in n 9.523 * [taylor]: Rewrote expression to (log (+ 1 (exp (* -1 (/ (+ n f) (- f n)))))) 9.523 * [taylor]: Taking taylor expansion of (+ 1 (exp (* -1 (/ (+ n f) (- f n))))) in n 9.523 * [taylor]: Taking taylor expansion of 1 in n 9.523 * [backup-simplify]: Simplify 1 into 1 9.523 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 9.523 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 9.523 * [taylor]: Taking taylor expansion of -1 in n 9.523 * [backup-simplify]: Simplify -1 into -1 9.523 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 9.523 * [taylor]: Taking taylor expansion of (+ n f) in n 9.523 * [taylor]: Taking taylor expansion of n in n 9.523 * [backup-simplify]: Simplify 0 into 0 9.523 * [backup-simplify]: Simplify 1 into 1 9.523 * [taylor]: Taking taylor expansion of f in n 9.523 * [backup-simplify]: Simplify f into f 9.523 * [taylor]: Taking taylor expansion of (- f n) in n 9.523 * [taylor]: Taking taylor expansion of f in n 9.523 * [backup-simplify]: Simplify f into f 9.523 * [taylor]: Taking taylor expansion of n in n 9.523 * [backup-simplify]: Simplify 0 into 0 9.523 * [backup-simplify]: Simplify 1 into 1 9.523 * [backup-simplify]: Simplify (+ 0 f) into f 9.523 * [backup-simplify]: Simplify (- 0) into 0 9.523 * [backup-simplify]: Simplify (+ f 0) into f 9.524 * [backup-simplify]: Simplify (/ f f) into 1 9.524 * [backup-simplify]: Simplify (* -1 1) into -1 9.524 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.525 * [backup-simplify]: Simplify (+ 1 (exp -1)) into (+ (exp -1) 1) 9.526 * [backup-simplify]: Simplify (log (+ (exp -1) 1)) into (log (+ (exp -1) 1)) 9.527 * [backup-simplify]: Simplify (exp (log (+ (exp -1) 1))) into (+ (exp -1) 1) 9.527 * [taylor]: Taking taylor expansion of 1 in n 9.527 * [backup-simplify]: Simplify 1 into 1 9.527 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (* -1 (/ (+ n f) (- f n)))))) in f 9.528 * [taylor]: Rewrote expression to (- (exp (log1p (exp (* -1 (/ (+ n f) (- f n)))))) 1) 9.528 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* -1 (/ (+ n f) (- f n)))))) in f 9.528 * [taylor]: Taking taylor expansion of (log1p (exp (* -1 (/ (+ n f) (- f n))))) in f 9.528 * [taylor]: Rewrote expression to (log (+ 1 (exp (* -1 (/ (+ n f) (- f n)))))) 9.528 * [taylor]: Taking taylor expansion of (+ 1 (exp (* -1 (/ (+ n f) (- f n))))) in f 9.528 * [taylor]: Taking taylor expansion of 1 in f 9.528 * [backup-simplify]: Simplify 1 into 1 9.528 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 9.528 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 9.528 * [taylor]: Taking taylor expansion of -1 in f 9.528 * [backup-simplify]: Simplify -1 into -1 9.528 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 9.528 * [taylor]: Taking taylor expansion of (+ n f) in f 9.528 * [taylor]: Taking taylor expansion of n in f 9.528 * [backup-simplify]: Simplify n into n 9.528 * [taylor]: Taking taylor expansion of f in f 9.528 * [backup-simplify]: Simplify 0 into 0 9.528 * [backup-simplify]: Simplify 1 into 1 9.528 * [taylor]: Taking taylor expansion of (- f n) in f 9.528 * [taylor]: Taking taylor expansion of f in f 9.528 * [backup-simplify]: Simplify 0 into 0 9.528 * [backup-simplify]: Simplify 1 into 1 9.528 * [taylor]: Taking taylor expansion of n in f 9.528 * [backup-simplify]: Simplify n into n 9.528 * [backup-simplify]: Simplify (+ n 0) into n 9.528 * [backup-simplify]: Simplify (- n) into (- n) 9.528 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.528 * [backup-simplify]: Simplify (/ n (- n)) into -1 9.528 * [backup-simplify]: Simplify (* -1 -1) into 1 9.528 * [backup-simplify]: Simplify (exp 1) into E 9.529 * [backup-simplify]: Simplify (+ 1 E) into (+ E 1) 9.530 * [backup-simplify]: Simplify (log (+ E 1)) into (log (+ E 1)) 9.532 * [backup-simplify]: Simplify (exp (log (+ E 1))) into (+ E 1) 9.532 * [taylor]: Taking taylor expansion of 1 in f 9.532 * [backup-simplify]: Simplify 1 into 1 9.532 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (* -1 (/ (+ n f) (- f n)))))) in f 9.532 * [taylor]: Rewrote expression to (- (exp (log1p (exp (* -1 (/ (+ n f) (- f n)))))) 1) 9.532 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* -1 (/ (+ n f) (- f n)))))) in f 9.532 * [taylor]: Taking taylor expansion of (log1p (exp (* -1 (/ (+ n f) (- f n))))) in f 9.532 * [taylor]: Rewrote expression to (log (+ 1 (exp (* -1 (/ (+ n f) (- f n)))))) 9.532 * [taylor]: Taking taylor expansion of (+ 1 (exp (* -1 (/ (+ n f) (- f n))))) in f 9.532 * [taylor]: Taking taylor expansion of 1 in f 9.532 * [backup-simplify]: Simplify 1 into 1 9.532 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 9.532 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 9.532 * [taylor]: Taking taylor expansion of -1 in f 9.532 * [backup-simplify]: Simplify -1 into -1 9.532 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 9.532 * [taylor]: Taking taylor expansion of (+ n f) in f 9.532 * [taylor]: Taking taylor expansion of n in f 9.532 * [backup-simplify]: Simplify n into n 9.532 * [taylor]: Taking taylor expansion of f in f 9.532 * [backup-simplify]: Simplify 0 into 0 9.532 * [backup-simplify]: Simplify 1 into 1 9.532 * [taylor]: Taking taylor expansion of (- f n) in f 9.532 * [taylor]: Taking taylor expansion of f in f 9.533 * [backup-simplify]: Simplify 0 into 0 9.533 * [backup-simplify]: Simplify 1 into 1 9.533 * [taylor]: Taking taylor expansion of n in f 9.533 * [backup-simplify]: Simplify n into n 9.533 * [backup-simplify]: Simplify (+ n 0) into n 9.533 * [backup-simplify]: Simplify (- n) into (- n) 9.533 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.533 * [backup-simplify]: Simplify (/ n (- n)) into -1 9.533 * [backup-simplify]: Simplify (* -1 -1) into 1 9.533 * [backup-simplify]: Simplify (exp 1) into E 9.534 * [backup-simplify]: Simplify (+ 1 E) into (+ E 1) 9.535 * [backup-simplify]: Simplify (log (+ E 1)) into (log (+ E 1)) 9.537 * [backup-simplify]: Simplify (exp (log (+ E 1))) into (+ E 1) 9.537 * [taylor]: Taking taylor expansion of 1 in f 9.537 * [backup-simplify]: Simplify 1 into 1 9.537 * [backup-simplify]: Simplify (- 1) into -1 9.538 * [backup-simplify]: Simplify (+ (+ E 1) -1) into E 9.538 * [taylor]: Taking taylor expansion of E in n 9.538 * [backup-simplify]: Simplify E into E 9.538 * [backup-simplify]: Simplify E into E 9.539 * [backup-simplify]: Simplify (+ 0 1) into 1 9.540 * [backup-simplify]: Simplify (- 0) into 0 9.540 * [backup-simplify]: Simplify (+ 1 0) into 1 9.540 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 9.541 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 9.541 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 9.541 * [backup-simplify]: Simplify (+ 0 (* 2 (/ E n))) into (* 2 (/ E n)) 9.543 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ E n))) 1)) (pow (+ E 1) 1)))) 1) into (* 2 (/ E (* n (+ E 1)))) 9.545 * [backup-simplify]: Simplify (* (exp (log (+ E 1))) (+ (* (/ (pow (* 2 (/ E (* n (+ E 1)))) 1) 1)))) into (* 2 (/ E n)) 9.546 * [backup-simplify]: Simplify (- 0) into 0 9.546 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 9.546 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 9.546 * [taylor]: Taking taylor expansion of 2 in n 9.546 * [backup-simplify]: Simplify 2 into 2 9.546 * [taylor]: Taking taylor expansion of (/ E n) in n 9.546 * [taylor]: Taking taylor expansion of E in n 9.546 * [backup-simplify]: Simplify E into E 9.546 * [taylor]: Taking taylor expansion of n in n 9.546 * [backup-simplify]: Simplify 0 into 0 9.546 * [backup-simplify]: Simplify 1 into 1 9.547 * [backup-simplify]: Simplify (/ E 1) into E 9.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 9.548 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 9.548 * [backup-simplify]: Simplify 0 into 0 9.548 * [backup-simplify]: Simplify 0 into 0 9.550 * [backup-simplify]: Simplify (+ 0 0) into 0 9.550 * [backup-simplify]: Simplify (- 0) into 0 9.551 * [backup-simplify]: Simplify (+ 0 0) into 0 9.551 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 9.552 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 9.552 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 9.552 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 9.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ E n))) 2)) (pow (+ E 1) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow (+ E 1) 1)))) 2) into (* 1/2 (- (* 8 (/ E (* (pow n 2) (+ E 1)))) (* 4 (/ (pow E 2) (* (pow n 2) (pow (+ E 1) 2)))))) 9.561 * [backup-simplify]: Simplify (* (exp (log (+ E 1))) (+ (* (/ (pow (* 2 (/ E (* n (+ E 1)))) 2) 2)) (* (/ (pow (* 1/2 (- (* 8 (/ E (* (pow n 2) (+ E 1)))) (* 4 (/ (pow E 2) (* (pow n 2) (pow (+ E 1) 2)))))) 1) 1)))) into (* 4 (/ E (pow n 2))) 9.561 * [backup-simplify]: Simplify (- 0) into 0 9.562 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 9.562 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 9.562 * [taylor]: Taking taylor expansion of 4 in n 9.562 * [backup-simplify]: Simplify 4 into 4 9.562 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 9.562 * [taylor]: Taking taylor expansion of E in n 9.562 * [backup-simplify]: Simplify E into E 9.562 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.562 * [taylor]: Taking taylor expansion of n in n 9.562 * [backup-simplify]: Simplify 0 into 0 9.562 * [backup-simplify]: Simplify 1 into 1 9.562 * [backup-simplify]: Simplify (* 1 1) into 1 9.563 * [backup-simplify]: Simplify (/ E 1) into E 9.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 9.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.567 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 9.567 * [backup-simplify]: Simplify 0 into 0 9.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.570 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 9.570 * [backup-simplify]: Simplify 0 into 0 9.570 * [backup-simplify]: Simplify 0 into 0 9.570 * [backup-simplify]: Simplify (+ 0 0) into 0 9.571 * [backup-simplify]: Simplify (- 0) into 0 9.571 * [backup-simplify]: Simplify (+ 0 0) into 0 9.572 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 9.572 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 9.573 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 9.574 * [backup-simplify]: Simplify (+ 0 (* 22/3 (/ E (pow n 3)))) into (* 22/3 (/ E (pow n 3))) 9.578 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ E n))) 3)) (pow (+ E 1) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ E n))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow (+ E 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 22/3 (/ E (pow n 3)))) 1)) (pow (+ E 1) 1)))) 6) into (* 1/6 (- (+ (* 44 (/ E (* (pow n 3) (+ E 1)))) (* 16 (/ (pow E 3) (* (pow n 3) (pow (+ E 1) 3))))) (* 48 (/ (pow E 2) (* (pow n 3) (pow (+ E 1) 2)))))) 9.589 * [backup-simplify]: Simplify (* (exp (log (+ E 1))) (+ (* (/ (pow (* 2 (/ E (* n (+ E 1)))) 3) 6)) (* (/ (pow (* 2 (/ E (* n (+ E 1)))) 1) 1) (/ (pow (* 1/2 (- (* 8 (/ E (* (pow n 2) (+ E 1)))) (* 4 (/ (pow E 2) (* (pow n 2) (pow (+ E 1) 2)))))) 1) 1)) (* (/ (pow (* 1/6 (- (+ (* 44 (/ E (* (pow n 3) (+ E 1)))) (* 16 (/ (pow E 3) (* (pow n 3) (pow (+ E 1) 3))))) (* 48 (/ (pow E 2) (* (pow n 3) (pow (+ E 1) 2)))))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 9.590 * [backup-simplify]: Simplify (- 0) into 0 9.590 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 9.590 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 9.591 * [taylor]: Taking taylor expansion of 22/3 in n 9.591 * [backup-simplify]: Simplify 22/3 into 22/3 9.591 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 9.591 * [taylor]: Taking taylor expansion of E in n 9.591 * [backup-simplify]: Simplify E into E 9.591 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.591 * [taylor]: Taking taylor expansion of n in n 9.591 * [backup-simplify]: Simplify 0 into 0 9.591 * [backup-simplify]: Simplify 1 into 1 9.591 * [backup-simplify]: Simplify (* 1 1) into 1 9.591 * [backup-simplify]: Simplify (* 1 1) into 1 9.592 * [backup-simplify]: Simplify (/ E 1) into E 9.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 9.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.601 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 9.601 * [backup-simplify]: Simplify 0 into 0 9.602 * [backup-simplify]: Simplify E into E 9.602 * [backup-simplify]: Simplify (expm1 (log1p (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))))) into (expm1 (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 9.602 * [approximate]: Taking taylor expansion of (expm1 (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in (f n) around 0 9.602 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in n 9.602 * [taylor]: Rewrote expression to (- (exp (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 1) 9.602 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in n 9.602 * [taylor]: Taking taylor expansion of (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 9.602 * [taylor]: Rewrote expression to (log (+ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 9.602 * [taylor]: Taking taylor expansion of (+ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 9.602 * [taylor]: Taking taylor expansion of 1 in n 9.602 * [backup-simplify]: Simplify 1 into 1 9.602 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 9.602 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 9.602 * [taylor]: Taking taylor expansion of -1 in n 9.602 * [backup-simplify]: Simplify -1 into -1 9.602 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 9.602 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.603 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.603 * [taylor]: Taking taylor expansion of f in n 9.603 * [backup-simplify]: Simplify f into f 9.603 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.603 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.603 * [taylor]: Taking taylor expansion of n in n 9.603 * [backup-simplify]: Simplify 0 into 0 9.603 * [backup-simplify]: Simplify 1 into 1 9.603 * [backup-simplify]: Simplify (/ 1 1) into 1 9.603 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 9.603 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.603 * [taylor]: Taking taylor expansion of f in n 9.603 * [backup-simplify]: Simplify f into f 9.603 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.603 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.603 * [taylor]: Taking taylor expansion of n in n 9.603 * [backup-simplify]: Simplify 0 into 0 9.603 * [backup-simplify]: Simplify 1 into 1 9.604 * [backup-simplify]: Simplify (/ 1 1) into 1 9.604 * [backup-simplify]: Simplify (+ 0 1) into 1 9.605 * [backup-simplify]: Simplify (- 1) into -1 9.605 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.605 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.606 * [backup-simplify]: Simplify (* -1 -1) into 1 9.606 * [backup-simplify]: Simplify (exp 1) into E 9.606 * [backup-simplify]: Simplify (+ 1 E) into (+ E 1) 9.607 * [backup-simplify]: Simplify (log (+ E 1)) into (log (+ E 1)) 9.609 * [backup-simplify]: Simplify (exp (log (+ E 1))) into (+ E 1) 9.609 * [taylor]: Taking taylor expansion of 1 in n 9.609 * [backup-simplify]: Simplify 1 into 1 9.609 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in f 9.609 * [taylor]: Rewrote expression to (- (exp (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 1) 9.609 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in f 9.610 * [taylor]: Taking taylor expansion of (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 9.610 * [taylor]: Rewrote expression to (log (+ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 9.610 * [taylor]: Taking taylor expansion of (+ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 9.610 * [taylor]: Taking taylor expansion of 1 in f 9.610 * [backup-simplify]: Simplify 1 into 1 9.610 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 9.610 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 9.610 * [taylor]: Taking taylor expansion of -1 in f 9.610 * [backup-simplify]: Simplify -1 into -1 9.610 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 9.610 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.610 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.610 * [taylor]: Taking taylor expansion of f in f 9.610 * [backup-simplify]: Simplify 0 into 0 9.610 * [backup-simplify]: Simplify 1 into 1 9.610 * [backup-simplify]: Simplify (/ 1 1) into 1 9.610 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.610 * [taylor]: Taking taylor expansion of n in f 9.610 * [backup-simplify]: Simplify n into n 9.610 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.611 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.611 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.611 * [taylor]: Taking taylor expansion of f in f 9.611 * [backup-simplify]: Simplify 0 into 0 9.611 * [backup-simplify]: Simplify 1 into 1 9.611 * [backup-simplify]: Simplify (/ 1 1) into 1 9.611 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.611 * [taylor]: Taking taylor expansion of n in f 9.611 * [backup-simplify]: Simplify n into n 9.611 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.612 * [backup-simplify]: Simplify (+ 1 0) into 1 9.612 * [backup-simplify]: Simplify (+ 1 0) into 1 9.612 * [backup-simplify]: Simplify (/ 1 1) into 1 9.613 * [backup-simplify]: Simplify (* -1 1) into -1 9.613 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.614 * [backup-simplify]: Simplify (+ 1 (exp -1)) into (+ (exp -1) 1) 9.616 * [backup-simplify]: Simplify (log (+ (exp -1) 1)) into (log (+ (exp -1) 1)) 9.618 * [backup-simplify]: Simplify (exp (log (+ (exp -1) 1))) into (+ (exp -1) 1) 9.618 * [taylor]: Taking taylor expansion of 1 in f 9.618 * [backup-simplify]: Simplify 1 into 1 9.618 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in f 9.619 * [taylor]: Rewrote expression to (- (exp (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 1) 9.619 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in f 9.619 * [taylor]: Taking taylor expansion of (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 9.619 * [taylor]: Rewrote expression to (log (+ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 9.619 * [taylor]: Taking taylor expansion of (+ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 9.619 * [taylor]: Taking taylor expansion of 1 in f 9.619 * [backup-simplify]: Simplify 1 into 1 9.619 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 9.619 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 9.619 * [taylor]: Taking taylor expansion of -1 in f 9.619 * [backup-simplify]: Simplify -1 into -1 9.619 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 9.619 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.619 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.619 * [taylor]: Taking taylor expansion of f in f 9.619 * [backup-simplify]: Simplify 0 into 0 9.619 * [backup-simplify]: Simplify 1 into 1 9.619 * [backup-simplify]: Simplify (/ 1 1) into 1 9.619 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.620 * [taylor]: Taking taylor expansion of n in f 9.620 * [backup-simplify]: Simplify n into n 9.620 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.620 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.620 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.620 * [taylor]: Taking taylor expansion of f in f 9.620 * [backup-simplify]: Simplify 0 into 0 9.620 * [backup-simplify]: Simplify 1 into 1 9.620 * [backup-simplify]: Simplify (/ 1 1) into 1 9.620 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.620 * [taylor]: Taking taylor expansion of n in f 9.620 * [backup-simplify]: Simplify n into n 9.620 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.621 * [backup-simplify]: Simplify (+ 1 0) into 1 9.621 * [backup-simplify]: Simplify (+ 1 0) into 1 9.622 * [backup-simplify]: Simplify (/ 1 1) into 1 9.622 * [backup-simplify]: Simplify (* -1 1) into -1 9.623 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.624 * [backup-simplify]: Simplify (+ 1 (exp -1)) into (+ (exp -1) 1) 9.625 * [backup-simplify]: Simplify (log (+ (exp -1) 1)) into (log (+ (exp -1) 1)) 9.628 * [backup-simplify]: Simplify (exp (log (+ (exp -1) 1))) into (+ (exp -1) 1) 9.628 * [taylor]: Taking taylor expansion of 1 in f 9.628 * [backup-simplify]: Simplify 1 into 1 9.628 * [backup-simplify]: Simplify (- 1) into -1 9.630 * [backup-simplify]: Simplify (+ (+ (exp -1) 1) -1) into (exp -1) 9.630 * [taylor]: Taking taylor expansion of (exp -1) in n 9.630 * [taylor]: Taking taylor expansion of -1 in n 9.630 * [backup-simplify]: Simplify -1 into -1 9.630 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.631 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.631 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.632 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 9.632 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 9.633 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 9.639 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 9.640 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 9.640 * [backup-simplify]: Simplify (+ 0 (* -2 (/ (exp -1) n))) into (- (* 2 (/ (exp -1) n))) 9.643 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (+ (exp -1) 1) 1)))) 1) into (* -2 (/ (exp -1) (* (+ (exp -1) 1) n))) 9.647 * [backup-simplify]: Simplify (* (exp (log (+ (exp -1) 1))) (+ (* (/ (pow (* -2 (/ (exp -1) (* (+ (exp -1) 1) n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 9.647 * [backup-simplify]: Simplify (- 0) into 0 9.647 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 9.647 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 9.648 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 9.648 * [taylor]: Taking taylor expansion of 2 in n 9.648 * [backup-simplify]: Simplify 2 into 2 9.648 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 9.648 * [taylor]: Taking taylor expansion of (exp -1) in n 9.648 * [taylor]: Taking taylor expansion of -1 in n 9.648 * [backup-simplify]: Simplify -1 into -1 9.648 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.648 * [taylor]: Taking taylor expansion of n in n 9.648 * [backup-simplify]: Simplify 0 into 0 9.648 * [backup-simplify]: Simplify 1 into 1 9.649 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 9.650 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 9.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 9.652 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 9.652 * [backup-simplify]: Simplify (- 0) into 0 9.653 * [backup-simplify]: Simplify 0 into 0 9.654 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 9.654 * [backup-simplify]: Simplify 0 into 0 9.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.655 * [backup-simplify]: Simplify (+ 0 0) into 0 9.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.657 * [backup-simplify]: Simplify (- 0) into 0 9.657 * [backup-simplify]: Simplify (+ 0 0) into 0 9.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 9.659 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 9.660 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 9.660 * [backup-simplify]: Simplify (+ 0 0) into 0 9.664 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (+ (exp -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp -1) 1) 1)))) 2) into (* -2 (/ (pow (exp -1) 2) (* (pow (+ (exp -1) 1) 2) (pow n 2)))) 9.671 * [backup-simplify]: Simplify (* (exp (log (+ (exp -1) 1))) (+ (* (/ (pow (* -2 (/ (exp -1) (* (+ (exp -1) 1) n))) 2) 2)) (* (/ (pow (* -2 (/ (pow (exp -1) 2) (* (pow (+ (exp -1) 1) 2) (pow n 2)))) 1) 1)))) into 0 9.671 * [backup-simplify]: Simplify (- 0) into 0 9.671 * [backup-simplify]: Simplify (+ 0 0) into 0 9.671 * [taylor]: Taking taylor expansion of 0 in n 9.672 * [backup-simplify]: Simplify 0 into 0 9.672 * [backup-simplify]: Simplify 0 into 0 9.673 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.676 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 9.676 * [backup-simplify]: Simplify (- 0) into 0 9.676 * [backup-simplify]: Simplify 0 into 0 9.678 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.678 * [backup-simplify]: Simplify 0 into 0 9.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.680 * [backup-simplify]: Simplify (+ 0 0) into 0 9.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.681 * [backup-simplify]: Simplify (- 0) into 0 9.682 * [backup-simplify]: Simplify (+ 0 0) into 0 9.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 9.684 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 9.685 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 9.686 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 9.694 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (+ (exp -1) 1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (+ (exp -1) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (+ (exp -1) 1) 1)))) 6) into (* 1/6 (- (* 4 (/ (exp -1) (* (+ (exp -1) 1) (pow n 3)))) (* 16 (/ (pow (exp -1) 3) (* (pow (+ (exp -1) 1) 3) (pow n 3)))))) 9.704 * [backup-simplify]: Simplify (* (exp (log (+ (exp -1) 1))) (+ (* (/ (pow (* -2 (/ (exp -1) (* (+ (exp -1) 1) n))) 3) 6)) (* (/ (pow (* -2 (/ (exp -1) (* (+ (exp -1) 1) n))) 1) 1) (/ (pow (* -2 (/ (pow (exp -1) 2) (* (pow (+ (exp -1) 1) 2) (pow n 2)))) 1) 1)) (* (/ (pow (* 1/6 (- (* 4 (/ (exp -1) (* (+ (exp -1) 1) (pow n 3)))) (* 16 (/ (pow (exp -1) 3) (* (pow (+ (exp -1) 1) 3) (pow n 3)))))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 9.704 * [backup-simplify]: Simplify (- 0) into 0 9.704 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 9.705 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 9.705 * [taylor]: Taking taylor expansion of 2/3 in n 9.705 * [backup-simplify]: Simplify 2/3 into 2/3 9.705 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 9.705 * [taylor]: Taking taylor expansion of (exp -1) in n 9.705 * [taylor]: Taking taylor expansion of -1 in n 9.705 * [backup-simplify]: Simplify -1 into -1 9.705 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.705 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.705 * [taylor]: Taking taylor expansion of n in n 9.705 * [backup-simplify]: Simplify 0 into 0 9.705 * [backup-simplify]: Simplify 1 into 1 9.705 * [backup-simplify]: Simplify (* 1 1) into 1 9.706 * [backup-simplify]: Simplify (* 1 1) into 1 9.706 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 9.707 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.710 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 9.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 9.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.713 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.715 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 9.715 * [backup-simplify]: Simplify 0 into 0 9.715 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.715 * [backup-simplify]: Simplify (expm1 (log1p (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))))) into (expm1 (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 9.715 * [approximate]: Taking taylor expansion of (expm1 (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in (f n) around 0 9.715 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 9.715 * [taylor]: Rewrote expression to (- (exp (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1) 9.715 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 9.715 * [taylor]: Taking taylor expansion of (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 9.716 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 9.716 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 9.716 * [taylor]: Taking taylor expansion of 1 in n 9.716 * [backup-simplify]: Simplify 1 into 1 9.716 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 9.716 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 9.716 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.716 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.716 * [taylor]: Taking taylor expansion of f in n 9.716 * [backup-simplify]: Simplify f into f 9.716 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.716 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.716 * [taylor]: Taking taylor expansion of n in n 9.716 * [backup-simplify]: Simplify 0 into 0 9.716 * [backup-simplify]: Simplify 1 into 1 9.716 * [backup-simplify]: Simplify (/ 1 1) into 1 9.716 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 9.716 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.716 * [taylor]: Taking taylor expansion of n in n 9.716 * [backup-simplify]: Simplify 0 into 0 9.716 * [backup-simplify]: Simplify 1 into 1 9.716 * [backup-simplify]: Simplify (/ 1 1) into 1 9.716 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.716 * [taylor]: Taking taylor expansion of f in n 9.716 * [backup-simplify]: Simplify f into f 9.716 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.717 * [backup-simplify]: Simplify (+ 0 1) into 1 9.717 * [backup-simplify]: Simplify (+ 1 0) into 1 9.717 * [backup-simplify]: Simplify (/ 1 1) into 1 9.717 * [backup-simplify]: Simplify (exp 1) into E 9.718 * [backup-simplify]: Simplify (+ 1 E) into (+ E 1) 9.718 * [backup-simplify]: Simplify (log (+ E 1)) into (log (+ E 1)) 9.719 * [backup-simplify]: Simplify (exp (log (+ E 1))) into (+ E 1) 9.719 * [taylor]: Taking taylor expansion of 1 in n 9.719 * [backup-simplify]: Simplify 1 into 1 9.719 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 9.719 * [taylor]: Rewrote expression to (- (exp (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1) 9.719 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 9.719 * [taylor]: Taking taylor expansion of (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 9.720 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 9.720 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 9.720 * [taylor]: Taking taylor expansion of 1 in f 9.720 * [backup-simplify]: Simplify 1 into 1 9.720 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 9.720 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 9.720 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.720 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.720 * [taylor]: Taking taylor expansion of f in f 9.720 * [backup-simplify]: Simplify 0 into 0 9.720 * [backup-simplify]: Simplify 1 into 1 9.720 * [backup-simplify]: Simplify (/ 1 1) into 1 9.720 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.720 * [taylor]: Taking taylor expansion of n in f 9.720 * [backup-simplify]: Simplify n into n 9.720 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.720 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.720 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.720 * [taylor]: Taking taylor expansion of n in f 9.720 * [backup-simplify]: Simplify n into n 9.720 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.720 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.720 * [taylor]: Taking taylor expansion of f in f 9.720 * [backup-simplify]: Simplify 0 into 0 9.720 * [backup-simplify]: Simplify 1 into 1 9.720 * [backup-simplify]: Simplify (/ 1 1) into 1 9.721 * [backup-simplify]: Simplify (+ 1 0) into 1 9.721 * [backup-simplify]: Simplify (- 1) into -1 9.721 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.721 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.722 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.722 * [backup-simplify]: Simplify (+ 1 (exp -1)) into (+ (exp -1) 1) 9.723 * [backup-simplify]: Simplify (log (+ (exp -1) 1)) into (log (+ (exp -1) 1)) 9.724 * [backup-simplify]: Simplify (exp (log (+ (exp -1) 1))) into (+ (exp -1) 1) 9.725 * [taylor]: Taking taylor expansion of 1 in f 9.725 * [backup-simplify]: Simplify 1 into 1 9.725 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 9.725 * [taylor]: Rewrote expression to (- (exp (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1) 9.725 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 9.725 * [taylor]: Taking taylor expansion of (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 9.725 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 9.725 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 9.725 * [taylor]: Taking taylor expansion of 1 in f 9.725 * [backup-simplify]: Simplify 1 into 1 9.725 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 9.725 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 9.725 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.725 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.725 * [taylor]: Taking taylor expansion of f in f 9.725 * [backup-simplify]: Simplify 0 into 0 9.725 * [backup-simplify]: Simplify 1 into 1 9.725 * [backup-simplify]: Simplify (/ 1 1) into 1 9.725 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.725 * [taylor]: Taking taylor expansion of n in f 9.725 * [backup-simplify]: Simplify n into n 9.725 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.725 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.725 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.725 * [taylor]: Taking taylor expansion of n in f 9.725 * [backup-simplify]: Simplify n into n 9.725 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.725 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.725 * [taylor]: Taking taylor expansion of f in f 9.725 * [backup-simplify]: Simplify 0 into 0 9.725 * [backup-simplify]: Simplify 1 into 1 9.726 * [backup-simplify]: Simplify (/ 1 1) into 1 9.726 * [backup-simplify]: Simplify (+ 1 0) into 1 9.726 * [backup-simplify]: Simplify (- 1) into -1 9.726 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.727 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.727 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.727 * [backup-simplify]: Simplify (+ 1 (exp -1)) into (+ (exp -1) 1) 9.728 * [backup-simplify]: Simplify (log (+ (exp -1) 1)) into (log (+ (exp -1) 1)) 9.730 * [backup-simplify]: Simplify (exp (log (+ (exp -1) 1))) into (+ (exp -1) 1) 9.730 * [taylor]: Taking taylor expansion of 1 in f 9.730 * [backup-simplify]: Simplify 1 into 1 9.730 * [backup-simplify]: Simplify (- 1) into -1 9.731 * [backup-simplify]: Simplify (+ (+ (exp -1) 1) -1) into (exp -1) 9.731 * [taylor]: Taking taylor expansion of (exp -1) in n 9.731 * [taylor]: Taking taylor expansion of -1 in n 9.731 * [backup-simplify]: Simplify -1 into -1 9.731 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.731 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.732 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.733 * [backup-simplify]: Simplify (- 0) into 0 9.733 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 9.733 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 9.733 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 9.734 * [backup-simplify]: Simplify (+ 0 (* -2 (/ (exp -1) n))) into (- (* 2 (/ (exp -1) n))) 9.735 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (+ (exp -1) 1) 1)))) 1) into (* -2 (/ (exp -1) (* (+ (exp -1) 1) n))) 9.737 * [backup-simplify]: Simplify (* (exp (log (+ (exp -1) 1))) (+ (* (/ (pow (* -2 (/ (exp -1) (* (+ (exp -1) 1) n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 9.737 * [backup-simplify]: Simplify (- 0) into 0 9.738 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 9.738 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 9.738 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 9.738 * [taylor]: Taking taylor expansion of 2 in n 9.738 * [backup-simplify]: Simplify 2 into 2 9.738 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 9.738 * [taylor]: Taking taylor expansion of (exp -1) in n 9.738 * [taylor]: Taking taylor expansion of -1 in n 9.738 * [backup-simplify]: Simplify -1 into -1 9.738 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.738 * [taylor]: Taking taylor expansion of n in n 9.738 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify 1 into 1 9.739 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 9.740 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 9.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 9.741 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 9.741 * [backup-simplify]: Simplify (- 0) into 0 9.741 * [backup-simplify]: Simplify 0 into 0 9.743 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 9.743 * [backup-simplify]: Simplify 0 into 0 9.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.744 * [backup-simplify]: Simplify (+ 0 0) into 0 9.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.746 * [backup-simplify]: Simplify (- 0) into 0 9.746 * [backup-simplify]: Simplify (+ 0 0) into 0 9.748 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 9.749 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 9.749 * [backup-simplify]: Simplify (+ 0 0) into 0 9.755 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (+ (exp -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp -1) 1) 1)))) 2) into (* -2 (/ (pow (exp -1) 2) (* (pow (+ (exp -1) 1) 2) (pow n 2)))) 9.763 * [backup-simplify]: Simplify (* (exp (log (+ (exp -1) 1))) (+ (* (/ (pow (* -2 (/ (exp -1) (* (+ (exp -1) 1) n))) 2) 2)) (* (/ (pow (* -2 (/ (pow (exp -1) 2) (* (pow (+ (exp -1) 1) 2) (pow n 2)))) 1) 1)))) into 0 9.763 * [backup-simplify]: Simplify (- 0) into 0 9.764 * [backup-simplify]: Simplify (+ 0 0) into 0 9.764 * [taylor]: Taking taylor expansion of 0 in n 9.764 * [backup-simplify]: Simplify 0 into 0 9.764 * [backup-simplify]: Simplify 0 into 0 9.766 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.768 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 9.768 * [backup-simplify]: Simplify (- 0) into 0 9.768 * [backup-simplify]: Simplify 0 into 0 9.770 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.770 * [backup-simplify]: Simplify 0 into 0 9.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.772 * [backup-simplify]: Simplify (+ 0 0) into 0 9.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.773 * [backup-simplify]: Simplify (- 0) into 0 9.774 * [backup-simplify]: Simplify (+ 0 0) into 0 9.776 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 9.777 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 9.778 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 9.784 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (+ (exp -1) 1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (+ (exp -1) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (+ (exp -1) 1) 1)))) 6) into (* 1/6 (- (* 4 (/ (exp -1) (* (+ (exp -1) 1) (pow n 3)))) (* 16 (/ (pow (exp -1) 3) (* (pow (+ (exp -1) 1) 3) (pow n 3)))))) 9.796 * [backup-simplify]: Simplify (* (exp (log (+ (exp -1) 1))) (+ (* (/ (pow (* -2 (/ (exp -1) (* (+ (exp -1) 1) n))) 3) 6)) (* (/ (pow (* -2 (/ (exp -1) (* (+ (exp -1) 1) n))) 1) 1) (/ (pow (* -2 (/ (pow (exp -1) 2) (* (pow (+ (exp -1) 1) 2) (pow n 2)))) 1) 1)) (* (/ (pow (* 1/6 (- (* 4 (/ (exp -1) (* (+ (exp -1) 1) (pow n 3)))) (* 16 (/ (pow (exp -1) 3) (* (pow (+ (exp -1) 1) 3) (pow n 3)))))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 9.796 * [backup-simplify]: Simplify (- 0) into 0 9.797 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 9.797 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 9.797 * [taylor]: Taking taylor expansion of 2/3 in n 9.797 * [backup-simplify]: Simplify 2/3 into 2/3 9.797 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 9.797 * [taylor]: Taking taylor expansion of (exp -1) in n 9.797 * [taylor]: Taking taylor expansion of -1 in n 9.797 * [backup-simplify]: Simplify -1 into -1 9.798 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.798 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.798 * [taylor]: Taking taylor expansion of n in n 9.798 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify 1 into 1 9.798 * [backup-simplify]: Simplify (* 1 1) into 1 9.798 * [backup-simplify]: Simplify (* 1 1) into 1 9.799 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 9.801 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.806 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 9.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 9.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.809 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.814 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 9.814 * [backup-simplify]: Simplify 0 into 0 9.814 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.814 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 9.814 * [backup-simplify]: Simplify (log1p (exp (/ (- (+ f n)) (- f n)))) into (log1p (exp (* -1 (/ (+ n f) (- f n))))) 9.814 * [approximate]: Taking taylor expansion of (log1p (exp (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 9.814 * [taylor]: Taking taylor expansion of (log1p (exp (* -1 (/ (+ n f) (- f n))))) in n 9.815 * [taylor]: Rewrote expression to (log (+ 1 (exp (* -1 (/ (+ n f) (- f n)))))) 9.815 * [taylor]: Taking taylor expansion of (+ 1 (exp (* -1 (/ (+ n f) (- f n))))) in n 9.815 * [taylor]: Taking taylor expansion of 1 in n 9.815 * [backup-simplify]: Simplify 1 into 1 9.815 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 9.815 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 9.815 * [taylor]: Taking taylor expansion of -1 in n 9.815 * [backup-simplify]: Simplify -1 into -1 9.815 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 9.815 * [taylor]: Taking taylor expansion of (+ n f) in n 9.815 * [taylor]: Taking taylor expansion of n in n 9.815 * [backup-simplify]: Simplify 0 into 0 9.815 * [backup-simplify]: Simplify 1 into 1 9.815 * [taylor]: Taking taylor expansion of f in n 9.815 * [backup-simplify]: Simplify f into f 9.815 * [taylor]: Taking taylor expansion of (- f n) in n 9.815 * [taylor]: Taking taylor expansion of f in n 9.815 * [backup-simplify]: Simplify f into f 9.815 * [taylor]: Taking taylor expansion of n in n 9.815 * [backup-simplify]: Simplify 0 into 0 9.815 * [backup-simplify]: Simplify 1 into 1 9.815 * [backup-simplify]: Simplify (+ 0 f) into f 9.816 * [backup-simplify]: Simplify (- 0) into 0 9.816 * [backup-simplify]: Simplify (+ f 0) into f 9.816 * [backup-simplify]: Simplify (/ f f) into 1 9.816 * [backup-simplify]: Simplify (* -1 1) into -1 9.816 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.817 * [backup-simplify]: Simplify (+ 1 (exp -1)) into (+ (exp -1) 1) 9.819 * [backup-simplify]: Simplify (log (+ (exp -1) 1)) into (log (+ (exp -1) 1)) 9.819 * [taylor]: Taking taylor expansion of (log1p (exp (* -1 (/ (+ n f) (- f n))))) in f 9.819 * [taylor]: Rewrote expression to (log (+ 1 (exp (* -1 (/ (+ n f) (- f n)))))) 9.819 * [taylor]: Taking taylor expansion of (+ 1 (exp (* -1 (/ (+ n f) (- f n))))) in f 9.819 * [taylor]: Taking taylor expansion of 1 in f 9.819 * [backup-simplify]: Simplify 1 into 1 9.819 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 9.819 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 9.819 * [taylor]: Taking taylor expansion of -1 in f 9.819 * [backup-simplify]: Simplify -1 into -1 9.819 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 9.819 * [taylor]: Taking taylor expansion of (+ n f) in f 9.819 * [taylor]: Taking taylor expansion of n in f 9.819 * [backup-simplify]: Simplify n into n 9.819 * [taylor]: Taking taylor expansion of f in f 9.819 * [backup-simplify]: Simplify 0 into 0 9.819 * [backup-simplify]: Simplify 1 into 1 9.819 * [taylor]: Taking taylor expansion of (- f n) in f 9.820 * [taylor]: Taking taylor expansion of f in f 9.820 * [backup-simplify]: Simplify 0 into 0 9.820 * [backup-simplify]: Simplify 1 into 1 9.820 * [taylor]: Taking taylor expansion of n in f 9.820 * [backup-simplify]: Simplify n into n 9.820 * [backup-simplify]: Simplify (+ n 0) into n 9.820 * [backup-simplify]: Simplify (- n) into (- n) 9.820 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.820 * [backup-simplify]: Simplify (/ n (- n)) into -1 9.820 * [backup-simplify]: Simplify (* -1 -1) into 1 9.820 * [backup-simplify]: Simplify (exp 1) into E 9.821 * [backup-simplify]: Simplify (+ 1 E) into (+ E 1) 9.822 * [backup-simplify]: Simplify (log (+ E 1)) into (log (+ E 1)) 9.822 * [taylor]: Taking taylor expansion of (log1p (exp (* -1 (/ (+ n f) (- f n))))) in f 9.822 * [taylor]: Rewrote expression to (log (+ 1 (exp (* -1 (/ (+ n f) (- f n)))))) 9.822 * [taylor]: Taking taylor expansion of (+ 1 (exp (* -1 (/ (+ n f) (- f n))))) in f 9.822 * [taylor]: Taking taylor expansion of 1 in f 9.822 * [backup-simplify]: Simplify 1 into 1 9.822 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 9.822 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 9.822 * [taylor]: Taking taylor expansion of -1 in f 9.822 * [backup-simplify]: Simplify -1 into -1 9.822 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 9.822 * [taylor]: Taking taylor expansion of (+ n f) in f 9.822 * [taylor]: Taking taylor expansion of n in f 9.822 * [backup-simplify]: Simplify n into n 9.822 * [taylor]: Taking taylor expansion of f in f 9.822 * [backup-simplify]: Simplify 0 into 0 9.822 * [backup-simplify]: Simplify 1 into 1 9.822 * [taylor]: Taking taylor expansion of (- f n) in f 9.822 * [taylor]: Taking taylor expansion of f in f 9.823 * [backup-simplify]: Simplify 0 into 0 9.823 * [backup-simplify]: Simplify 1 into 1 9.823 * [taylor]: Taking taylor expansion of n in f 9.823 * [backup-simplify]: Simplify n into n 9.823 * [backup-simplify]: Simplify (+ n 0) into n 9.823 * [backup-simplify]: Simplify (- n) into (- n) 9.823 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.823 * [backup-simplify]: Simplify (/ n (- n)) into -1 9.823 * [backup-simplify]: Simplify (* -1 -1) into 1 9.823 * [backup-simplify]: Simplify (exp 1) into E 9.824 * [backup-simplify]: Simplify (+ 1 E) into (+ E 1) 9.825 * [backup-simplify]: Simplify (log (+ E 1)) into (log (+ E 1)) 9.825 * [taylor]: Taking taylor expansion of (log (+ E 1)) in n 9.825 * [taylor]: Taking taylor expansion of (+ E 1) in n 9.825 * [taylor]: Taking taylor expansion of E in n 9.825 * [backup-simplify]: Simplify E into E 9.825 * [taylor]: Taking taylor expansion of 1 in n 9.825 * [backup-simplify]: Simplify 1 into 1 9.826 * [backup-simplify]: Simplify (+ E 1) into (+ E 1) 9.827 * [backup-simplify]: Simplify (log (+ E 1)) into (log (+ E 1)) 9.828 * [backup-simplify]: Simplify (log (+ E 1)) into (log (+ E 1)) 9.828 * [backup-simplify]: Simplify (+ 0 1) into 1 9.828 * [backup-simplify]: Simplify (- 0) into 0 9.829 * [backup-simplify]: Simplify (+ 1 0) into 1 9.829 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 9.830 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 9.830 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 9.830 * [backup-simplify]: Simplify (+ 0 (* 2 (/ E n))) into (* 2 (/ E n)) 9.831 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ E n))) 1)) (pow (+ E 1) 1)))) 1) into (* 2 (/ E (* n (+ E 1)))) 9.831 * [taylor]: Taking taylor expansion of (* 2 (/ E (* n (+ E 1)))) in n 9.831 * [taylor]: Taking taylor expansion of 2 in n 9.832 * [backup-simplify]: Simplify 2 into 2 9.832 * [taylor]: Taking taylor expansion of (/ E (* n (+ E 1))) in n 9.832 * [taylor]: Taking taylor expansion of E in n 9.832 * [backup-simplify]: Simplify E into E 9.832 * [taylor]: Taking taylor expansion of (* n (+ E 1)) in n 9.832 * [taylor]: Taking taylor expansion of n in n 9.832 * [backup-simplify]: Simplify 0 into 0 9.832 * [backup-simplify]: Simplify 1 into 1 9.832 * [taylor]: Taking taylor expansion of (+ E 1) in n 9.832 * [taylor]: Taking taylor expansion of E in n 9.832 * [backup-simplify]: Simplify E into E 9.832 * [taylor]: Taking taylor expansion of 1 in n 9.832 * [backup-simplify]: Simplify 1 into 1 9.832 * [backup-simplify]: Simplify (+ E 1) into (+ E 1) 9.833 * [backup-simplify]: Simplify (* 0 (+ E 1)) into 0 9.833 * [backup-simplify]: Simplify (+ 0 0) into 0 9.836 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ E 1))) into (+ E 1) 9.837 * [backup-simplify]: Simplify (/ E (+ E 1)) into (/ E (+ E 1)) 9.837 * [backup-simplify]: Simplify (+ 0 0) into 0 9.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ E 1)))) into 0 9.840 * [backup-simplify]: Simplify (- (/ 0 (+ E 1)) (+ (* (/ E (+ E 1)) (/ 0 (+ E 1))))) into 0 9.842 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ E (+ E 1)))) into 0 9.842 * [backup-simplify]: Simplify 0 into 0 9.842 * [backup-simplify]: Simplify (+ 0 0) into 0 9.844 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ E 1) 1)))) 1) into 0 9.844 * [backup-simplify]: Simplify 0 into 0 9.845 * [backup-simplify]: Simplify (+ 0 0) into 0 9.845 * [backup-simplify]: Simplify (- 0) into 0 9.845 * [backup-simplify]: Simplify (+ 0 0) into 0 9.846 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 9.847 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 9.847 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 9.847 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 9.850 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ E n))) 2)) (pow (+ E 1) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow (+ E 1) 1)))) 2) into (* 1/2 (- (* 8 (/ E (* (pow n 2) (+ E 1)))) (* 4 (/ (pow E 2) (* (pow n 2) (pow (+ E 1) 2)))))) 9.850 * [taylor]: Taking taylor expansion of (* 1/2 (- (* 8 (/ E (* (pow n 2) (+ E 1)))) (* 4 (/ (pow E 2) (* (pow n 2) (pow (+ E 1) 2)))))) in n 9.850 * [taylor]: Taking taylor expansion of 1/2 in n 9.850 * [backup-simplify]: Simplify 1/2 into 1/2 9.850 * [taylor]: Taking taylor expansion of (- (* 8 (/ E (* (pow n 2) (+ E 1)))) (* 4 (/ (pow E 2) (* (pow n 2) (pow (+ E 1) 2))))) in n 9.850 * [taylor]: Taking taylor expansion of (* 8 (/ E (* (pow n 2) (+ E 1)))) in n 9.850 * [taylor]: Taking taylor expansion of 8 in n 9.850 * [backup-simplify]: Simplify 8 into 8 9.850 * [taylor]: Taking taylor expansion of (/ E (* (pow n 2) (+ E 1))) in n 9.850 * [taylor]: Taking taylor expansion of E in n 9.850 * [backup-simplify]: Simplify E into E 9.850 * [taylor]: Taking taylor expansion of (* (pow n 2) (+ E 1)) in n 9.850 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.850 * [taylor]: Taking taylor expansion of n in n 9.850 * [backup-simplify]: Simplify 0 into 0 9.850 * [backup-simplify]: Simplify 1 into 1 9.850 * [taylor]: Taking taylor expansion of (+ E 1) in n 9.850 * [taylor]: Taking taylor expansion of E in n 9.850 * [backup-simplify]: Simplify E into E 9.850 * [taylor]: Taking taylor expansion of 1 in n 9.850 * [backup-simplify]: Simplify 1 into 1 9.850 * [backup-simplify]: Simplify (* 1 1) into 1 9.851 * [backup-simplify]: Simplify (+ E 1) into (+ E 1) 9.851 * [backup-simplify]: Simplify (* 1 (+ E 1)) into (+ E 1) 9.852 * [backup-simplify]: Simplify (/ E (+ E 1)) into (/ E (+ E 1)) 9.852 * [taylor]: Taking taylor expansion of (* 4 (/ (pow E 2) (* (pow n 2) (pow (+ E 1) 2)))) in n 9.852 * [taylor]: Taking taylor expansion of 4 in n 9.852 * [backup-simplify]: Simplify 4 into 4 9.852 * [taylor]: Taking taylor expansion of (/ (pow E 2) (* (pow n 2) (pow (+ E 1) 2))) in n 9.852 * [taylor]: Taking taylor expansion of (pow E 2) in n 9.852 * [taylor]: Taking taylor expansion of E in n 9.852 * [backup-simplify]: Simplify E into E 9.852 * [taylor]: Taking taylor expansion of (* (pow n 2) (pow (+ E 1) 2)) in n 9.852 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.852 * [taylor]: Taking taylor expansion of n in n 9.852 * [backup-simplify]: Simplify 0 into 0 9.852 * [backup-simplify]: Simplify 1 into 1 9.852 * [taylor]: Taking taylor expansion of (pow (+ E 1) 2) in n 9.852 * [taylor]: Taking taylor expansion of (+ E 1) in n 9.852 * [taylor]: Taking taylor expansion of E in n 9.852 * [backup-simplify]: Simplify E into E 9.852 * [taylor]: Taking taylor expansion of 1 in n 9.852 * [backup-simplify]: Simplify 1 into 1 9.853 * [backup-simplify]: Simplify (+ E 1) into (+ E 1) 9.853 * [backup-simplify]: Simplify (* E E) into (pow E 2) 9.853 * [backup-simplify]: Simplify (* 1 1) into 1 9.854 * [backup-simplify]: Simplify (* (+ E 1) (+ E 1)) into (pow (+ E 1) 2) 9.855 * [backup-simplify]: Simplify (* 1 (pow (+ E 1) 2)) into (pow (+ E 1) 2) 9.857 * [backup-simplify]: Simplify (/ (pow E 2) (pow (+ E 1) 2)) into (/ (pow E 2) (pow (+ E 1) 2)) 9.857 * [backup-simplify]: Simplify (+ 0 0) into 0 9.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.858 * [backup-simplify]: Simplify (+ 0 0) into 0 9.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ E 1)))) into 0 9.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ E 1))) into 0 9.860 * [backup-simplify]: Simplify (- (/ 0 (+ E 1)) (+ (* (/ E (+ E 1)) (/ 0 (+ E 1))))) into 0 9.861 * [backup-simplify]: Simplify (- (/ 0 (+ E 1)) (+ (* (/ E (+ E 1)) (/ 0 (+ E 1))) (* 0 (/ 0 (+ E 1))))) into 0 9.862 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 (/ E (+ E 1))))) into 0 9.863 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (* 0 E))) into 0 9.863 * [backup-simplify]: Simplify (+ 0 0) into 0 9.863 * [backup-simplify]: Simplify (+ 0 0) into 0 9.864 * [backup-simplify]: Simplify (+ (* (+ E 1) 0) (+ (* 0 0) (* 0 (+ E 1)))) into 0 9.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.865 * [backup-simplify]: Simplify (+ (* (+ E 1) 0) (* 0 (+ E 1))) into 0 9.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (+ E 1) 2)))) into 0 9.867 * [backup-simplify]: Simplify (+ (* E 0) (* 0 E)) into 0 9.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (+ E 1) 2))) into 0 9.868 * [backup-simplify]: Simplify (- (/ 0 (pow (+ E 1) 2)) (+ (* (/ (pow E 2) (pow (+ E 1) 2)) (/ 0 (pow (+ E 1) 2))))) into 0 9.869 * [backup-simplify]: Simplify (- (/ 0 (pow (+ E 1) 2)) (+ (* (/ (pow E 2) (pow (+ E 1) 2)) (/ 0 (pow (+ E 1) 2))) (* 0 (/ 0 (pow (+ E 1) 2))))) into 0 9.870 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (pow E 2) (pow (+ E 1) 2))))) into 0 9.871 * [backup-simplify]: Simplify (- 0) into 0 9.871 * [backup-simplify]: Simplify (+ 0 0) into 0 9.872 * [backup-simplify]: Simplify (+ (* 8 0) (* 0 (/ E (+ E 1)))) into 0 9.873 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ (pow E 2) (pow (+ E 1) 2)))) into 0 9.873 * [backup-simplify]: Simplify (- 0) into 0 9.873 * [backup-simplify]: Simplify (+ 0 0) into 0 9.874 * [backup-simplify]: Simplify (* 8 (/ E (+ E 1))) into (* 8 (/ E (+ E 1))) 9.879 * [backup-simplify]: Simplify (* 4 (/ (pow E 2) (pow (+ E 1) 2))) into (* 4 (/ (pow E 2) (pow (+ E 1) 2))) 9.882 * [backup-simplify]: Simplify (- (* 4 (/ (pow E 2) (pow (+ E 1) 2)))) into (- (* 4 (/ (pow E 2) (pow (+ E 1) 2)))) 9.887 * [backup-simplify]: Simplify (+ (* 8 (/ E (+ E 1))) (- (* 4 (/ (pow E 2) (pow (+ E 1) 2))))) into (- (* 8 (/ E (+ E 1))) (* 4 (/ (pow E 2) (pow (+ E 1) 2)))) 9.889 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (* 8 (/ E (+ E 1))) (* 4 (/ (pow E 2) (pow (+ E 1) 2))))))) into 0 9.889 * [backup-simplify]: Simplify 0 into 0 9.889 * [backup-simplify]: Simplify (+ 0 0) into 0 9.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ E 1))))) into 0 9.891 * [backup-simplify]: Simplify (- (/ 0 (+ E 1)) (+ (* (/ E (+ E 1)) (/ 0 (+ E 1))) (* 0 (/ 0 (+ E 1))))) into 0 9.892 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ E (+ E 1))))) into 0 9.892 * [backup-simplify]: Simplify 0 into 0 9.892 * [backup-simplify]: Simplify (+ 0 0) into 0 9.894 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ E 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ E 1) 1)))) 2) into 0 9.894 * [backup-simplify]: Simplify 0 into 0 9.894 * [backup-simplify]: Simplify (+ 0 0) into 0 9.894 * [backup-simplify]: Simplify (- 0) into 0 9.895 * [backup-simplify]: Simplify (+ 0 0) into 0 9.895 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 9.896 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 9.896 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 9.896 * [backup-simplify]: Simplify (+ 0 (* 22/3 (/ E (pow n 3)))) into (* 22/3 (/ E (pow n 3))) 9.899 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ E n))) 3)) (pow (+ E 1) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ E n))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow (+ E 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 22/3 (/ E (pow n 3)))) 1)) (pow (+ E 1) 1)))) 6) into (* 1/6 (- (+ (* 44 (/ E (* (pow n 3) (+ E 1)))) (* 16 (/ (pow E 3) (* (pow n 3) (pow (+ E 1) 3))))) (* 48 (/ (pow E 2) (* (pow n 3) (pow (+ E 1) 2)))))) 9.899 * [taylor]: Taking taylor expansion of (* 1/6 (- (+ (* 44 (/ E (* (pow n 3) (+ E 1)))) (* 16 (/ (pow E 3) (* (pow n 3) (pow (+ E 1) 3))))) (* 48 (/ (pow E 2) (* (pow n 3) (pow (+ E 1) 2)))))) in n 9.899 * [taylor]: Taking taylor expansion of 1/6 in n 9.899 * [backup-simplify]: Simplify 1/6 into 1/6 9.899 * [taylor]: Taking taylor expansion of (- (+ (* 44 (/ E (* (pow n 3) (+ E 1)))) (* 16 (/ (pow E 3) (* (pow n 3) (pow (+ E 1) 3))))) (* 48 (/ (pow E 2) (* (pow n 3) (pow (+ E 1) 2))))) in n 9.899 * [taylor]: Taking taylor expansion of (+ (* 44 (/ E (* (pow n 3) (+ E 1)))) (* 16 (/ (pow E 3) (* (pow n 3) (pow (+ E 1) 3))))) in n 9.899 * [taylor]: Taking taylor expansion of (* 44 (/ E (* (pow n 3) (+ E 1)))) in n 9.899 * [taylor]: Taking taylor expansion of 44 in n 9.899 * [backup-simplify]: Simplify 44 into 44 9.899 * [taylor]: Taking taylor expansion of (/ E (* (pow n 3) (+ E 1))) in n 9.899 * [taylor]: Taking taylor expansion of E in n 9.899 * [backup-simplify]: Simplify E into E 9.899 * [taylor]: Taking taylor expansion of (* (pow n 3) (+ E 1)) in n 9.899 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.899 * [taylor]: Taking taylor expansion of n in n 9.899 * [backup-simplify]: Simplify 0 into 0 9.899 * [backup-simplify]: Simplify 1 into 1 9.899 * [taylor]: Taking taylor expansion of (+ E 1) in n 9.899 * [taylor]: Taking taylor expansion of E in n 9.899 * [backup-simplify]: Simplify E into E 9.899 * [taylor]: Taking taylor expansion of 1 in n 9.899 * [backup-simplify]: Simplify 1 into 1 9.901 * [backup-simplify]: Simplify (* 1 1) into 1 9.901 * [backup-simplify]: Simplify (* 1 1) into 1 9.901 * [backup-simplify]: Simplify (+ E 1) into (+ E 1) 9.902 * [backup-simplify]: Simplify (* 1 (+ E 1)) into (+ E 1) 9.903 * [backup-simplify]: Simplify (/ E (+ E 1)) into (/ E (+ E 1)) 9.903 * [taylor]: Taking taylor expansion of (* 16 (/ (pow E 3) (* (pow n 3) (pow (+ E 1) 3)))) in n 9.903 * [taylor]: Taking taylor expansion of 16 in n 9.903 * [backup-simplify]: Simplify 16 into 16 9.903 * [taylor]: Taking taylor expansion of (/ (pow E 3) (* (pow n 3) (pow (+ E 1) 3))) in n 9.903 * [taylor]: Taking taylor expansion of (pow E 3) in n 9.903 * [taylor]: Taking taylor expansion of E in n 9.903 * [backup-simplify]: Simplify E into E 9.903 * [taylor]: Taking taylor expansion of (* (pow n 3) (pow (+ E 1) 3)) in n 9.903 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.903 * [taylor]: Taking taylor expansion of n in n 9.903 * [backup-simplify]: Simplify 0 into 0 9.903 * [backup-simplify]: Simplify 1 into 1 9.903 * [taylor]: Taking taylor expansion of (pow (+ E 1) 3) in n 9.903 * [taylor]: Taking taylor expansion of (+ E 1) in n 9.903 * [taylor]: Taking taylor expansion of E in n 9.903 * [backup-simplify]: Simplify E into E 9.903 * [taylor]: Taking taylor expansion of 1 in n 9.903 * [backup-simplify]: Simplify 1 into 1 9.903 * [backup-simplify]: Simplify (+ E 1) into (+ E 1) 9.903 * [backup-simplify]: Simplify (* E E) into (pow E 2) 9.904 * [backup-simplify]: Simplify (* E (pow E 2)) into (pow E 3) 9.904 * [backup-simplify]: Simplify (* 1 1) into 1 9.905 * [backup-simplify]: Simplify (* 1 1) into 1 9.905 * [backup-simplify]: Simplify (* (+ E 1) (+ E 1)) into (pow (+ E 1) 2) 9.907 * [backup-simplify]: Simplify (* (+ E 1) (pow (+ E 1) 2)) into (pow (+ E 1) 3) 9.908 * [backup-simplify]: Simplify (* 1 (pow (+ E 1) 3)) into (pow (+ E 1) 3) 9.910 * [backup-simplify]: Simplify (/ (pow E 3) (pow (+ E 1) 3)) into (/ (pow E 3) (pow (+ E 1) 3)) 9.910 * [taylor]: Taking taylor expansion of (* 48 (/ (pow E 2) (* (pow n 3) (pow (+ E 1) 2)))) in n 9.910 * [taylor]: Taking taylor expansion of 48 in n 9.910 * [backup-simplify]: Simplify 48 into 48 9.910 * [taylor]: Taking taylor expansion of (/ (pow E 2) (* (pow n 3) (pow (+ E 1) 2))) in n 9.910 * [taylor]: Taking taylor expansion of (pow E 2) in n 9.910 * [taylor]: Taking taylor expansion of E in n 9.910 * [backup-simplify]: Simplify E into E 9.910 * [taylor]: Taking taylor expansion of (* (pow n 3) (pow (+ E 1) 2)) in n 9.910 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.910 * [taylor]: Taking taylor expansion of n in n 9.910 * [backup-simplify]: Simplify 0 into 0 9.910 * [backup-simplify]: Simplify 1 into 1 9.910 * [taylor]: Taking taylor expansion of (pow (+ E 1) 2) in n 9.910 * [taylor]: Taking taylor expansion of (+ E 1) in n 9.910 * [taylor]: Taking taylor expansion of E in n 9.910 * [backup-simplify]: Simplify E into E 9.910 * [taylor]: Taking taylor expansion of 1 in n 9.910 * [backup-simplify]: Simplify 1 into 1 9.910 * [backup-simplify]: Simplify (+ E 1) into (+ E 1) 9.910 * [backup-simplify]: Simplify (* E E) into (pow E 2) 9.911 * [backup-simplify]: Simplify (* 1 1) into 1 9.911 * [backup-simplify]: Simplify (* 1 1) into 1 9.912 * [backup-simplify]: Simplify (* (+ E 1) (+ E 1)) into (pow (+ E 1) 2) 9.913 * [backup-simplify]: Simplify (* 1 (pow (+ E 1) 2)) into (pow (+ E 1) 2) 9.915 * [backup-simplify]: Simplify (/ (pow E 2) (pow (+ E 1) 2)) into (/ (pow E 2) (pow (+ E 1) 2)) 9.915 * [backup-simplify]: Simplify (+ 0 0) into 0 9.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.916 * [backup-simplify]: Simplify (+ 0 0) into 0 9.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.917 * [backup-simplify]: Simplify (+ 0 0) into 0 9.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ E 1))))) into 0 9.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ E 1))) into 0 9.920 * [backup-simplify]: Simplify (- (/ 0 (+ E 1)) (+ (* (/ E (+ E 1)) (/ 0 (+ E 1))))) into 0 9.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ E 1)))) into 0 9.922 * [backup-simplify]: Simplify (- (/ 0 (+ E 1)) (+ (* (/ E (+ E 1)) (/ 0 (+ E 1))) (* 0 (/ 0 (+ E 1))))) into 0 9.923 * [backup-simplify]: Simplify (- (/ 0 (+ E 1)) (+ (* (/ E (+ E 1)) (/ 0 (+ E 1))) (* 0 (/ 0 (+ E 1))) (* 0 (/ 0 (+ E 1))))) into 0 9.924 * [backup-simplify]: Simplify (+ (* 44 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ E (+ E 1)))))) into 0 9.924 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 9.925 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (* 0 E))) into 0 9.925 * [backup-simplify]: Simplify (+ (* E 0) (* 0 E)) into 0 9.926 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow E 2))))) into 0 9.926 * [backup-simplify]: Simplify (+ 0 0) into 0 9.927 * [backup-simplify]: Simplify (+ 0 0) into 0 9.927 * [backup-simplify]: Simplify (+ 0 0) into 0 9.928 * [backup-simplify]: Simplify (+ (* (+ E 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ E 1))))) into 0 9.928 * [backup-simplify]: Simplify (+ (* (+ E 1) 0) (+ (* 0 0) (* 0 (+ E 1)))) into 0 9.929 * [backup-simplify]: Simplify (+ (* (+ E 1) 0) (* 0 (+ E 1))) into 0 9.930 * [backup-simplify]: Simplify (+ (* (+ E 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ E 1) 2))))) into 0 9.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.932 * [backup-simplify]: Simplify (+ (* (+ E 1) 0) (+ (* 0 0) (* 0 (pow (+ E 1) 2)))) into 0 9.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.933 * [backup-simplify]: Simplify (+ (* (+ E 1) 0) (* 0 (pow (+ E 1) 2))) into 0 9.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ E 1) 3))))) into 0 9.936 * [backup-simplify]: Simplify (+ (* E 0) (* 0 (pow E 2))) into 0 9.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (+ E 1) 3))) into 0 9.937 * [backup-simplify]: Simplify (- (/ 0 (pow (+ E 1) 3)) (+ (* (/ (pow E 3) (pow (+ E 1) 3)) (/ 0 (pow (+ E 1) 3))))) into 0 9.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (+ E 1) 3)))) into 0 9.939 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (* 0 (pow E 2)))) into 0 9.940 * [backup-simplify]: Simplify (- (/ 0 (pow (+ E 1) 3)) (+ (* (/ (pow E 3) (pow (+ E 1) 3)) (/ 0 (pow (+ E 1) 3))) (* 0 (/ 0 (pow (+ E 1) 3))))) into 0 9.941 * [backup-simplify]: Simplify (- (/ 0 (pow (+ E 1) 3)) (+ (* (/ (pow E 3) (pow (+ E 1) 3)) (/ 0 (pow (+ E 1) 3))) (* 0 (/ 0 (pow (+ E 1) 3))) (* 0 (/ 0 (pow (+ E 1) 3))))) into 0 9.942 * [backup-simplify]: Simplify (+ (* 16 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow E 3) (pow (+ E 1) 3)))))) into 0 9.943 * [backup-simplify]: Simplify (+ 0 0) into 0 9.943 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 9.943 * [backup-simplify]: Simplify (+ 0 0) into 0 9.944 * [backup-simplify]: Simplify (+ 0 0) into 0 9.944 * [backup-simplify]: Simplify (+ 0 0) into 0 9.945 * [backup-simplify]: Simplify (+ (* (+ E 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ E 1))))) into 0 9.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.946 * [backup-simplify]: Simplify (+ (* (+ E 1) 0) (+ (* 0 0) (* 0 (+ E 1)))) into 0 9.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.948 * [backup-simplify]: Simplify (+ (* (+ E 1) 0) (* 0 (+ E 1))) into 0 9.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ E 1) 2))))) into 0 9.952 * [backup-simplify]: Simplify (+ (* E 0) (* 0 E)) into 0 9.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (+ E 1) 2))) into 0 9.955 * [backup-simplify]: Simplify (- (/ 0 (pow (+ E 1) 2)) (+ (* (/ (pow E 2) (pow (+ E 1) 2)) (/ 0 (pow (+ E 1) 2))))) into 0 9.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (+ E 1) 2)))) into 0 9.957 * [backup-simplify]: Simplify (+ (* E 0) (+ (* 0 0) (* 0 E))) into 0 9.959 * [backup-simplify]: Simplify (- (/ 0 (pow (+ E 1) 2)) (+ (* (/ (pow E 2) (pow (+ E 1) 2)) (/ 0 (pow (+ E 1) 2))) (* 0 (/ 0 (pow (+ E 1) 2))))) into 0 9.962 * [backup-simplify]: Simplify (- (/ 0 (pow (+ E 1) 2)) (+ (* (/ (pow E 2) (pow (+ E 1) 2)) (/ 0 (pow (+ E 1) 2))) (* 0 (/ 0 (pow (+ E 1) 2))) (* 0 (/ 0 (pow (+ E 1) 2))))) into 0 9.965 * [backup-simplify]: Simplify (+ (* 48 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow E 2) (pow (+ E 1) 2)))))) into 0 9.965 * [backup-simplify]: Simplify (- 0) into 0 9.965 * [backup-simplify]: Simplify (+ 0 0) into 0 9.967 * [backup-simplify]: Simplify (+ (* 44 0) (+ (* 0 0) (* 0 (/ E (+ E 1))))) into 0 9.969 * [backup-simplify]: Simplify (+ (* 16 0) (+ (* 0 0) (* 0 (/ (pow E 3) (pow (+ E 1) 3))))) into 0 9.969 * [backup-simplify]: Simplify (+ 0 0) into 0 9.971 * [backup-simplify]: Simplify (+ (* 48 0) (+ (* 0 0) (* 0 (/ (pow E 2) (pow (+ E 1) 2))))) into 0 9.972 * [backup-simplify]: Simplify (- 0) into 0 9.972 * [backup-simplify]: Simplify (+ 0 0) into 0 9.973 * [backup-simplify]: Simplify (+ (* 44 0) (* 0 (/ E (+ E 1)))) into 0 9.978 * [backup-simplify]: Simplify (+ (* 16 0) (* 0 (/ (pow E 3) (pow (+ E 1) 3)))) into 0 9.979 * [backup-simplify]: Simplify (+ 0 0) into 0 9.981 * [backup-simplify]: Simplify (+ (* 48 0) (* 0 (/ (pow E 2) (pow (+ E 1) 2)))) into 0 9.981 * [backup-simplify]: Simplify (- 0) into 0 9.982 * [backup-simplify]: Simplify (+ 0 0) into 0 9.983 * [backup-simplify]: Simplify (* 44 (/ E (+ E 1))) into (* 44 (/ E (+ E 1))) 9.987 * [backup-simplify]: Simplify (* 16 (/ (pow E 3) (pow (+ E 1) 3))) into (* 16 (/ (pow E 3) (pow (+ E 1) 3))) 9.994 * [backup-simplify]: Simplify (+ (* 44 (/ E (+ E 1))) (* 16 (/ (pow E 3) (pow (+ E 1) 3)))) into (+ (* 44 (/ E (+ E 1))) (* 16 (/ (pow E 3) (pow (+ E 1) 3)))) 9.998 * [backup-simplify]: Simplify (* 48 (/ (pow E 2) (pow (+ E 1) 2))) into (* 48 (/ (pow E 2) (pow (+ E 1) 2))) 10.002 * [backup-simplify]: Simplify (- (* 48 (/ (pow E 2) (pow (+ E 1) 2)))) into (- (* 48 (/ (pow E 2) (pow (+ E 1) 2)))) 10.018 * [backup-simplify]: Simplify (+ (+ (* 44 (/ E (+ E 1))) (* 16 (/ (pow E 3) (pow (+ E 1) 3)))) (- (* 48 (/ (pow E 2) (pow (+ E 1) 2))))) into (- (+ (* 44 (/ E (+ E 1))) (* 16 (/ (pow E 3) (pow (+ E 1) 3)))) (* 48 (/ (pow E 2) (pow (+ E 1) 2)))) 10.023 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (* 44 (/ E (+ E 1))) (* 16 (/ (pow E 3) (pow (+ E 1) 3)))) (* 48 (/ (pow E 2) (pow (+ E 1) 2)))))))) into 0 10.023 * [backup-simplify]: Simplify 0 into 0 10.024 * [backup-simplify]: Simplify (log (+ E 1)) into (log (+ E 1)) 10.024 * [backup-simplify]: Simplify (log1p (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 10.024 * [approximate]: Taking taylor expansion of (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 10.025 * [taylor]: Taking taylor expansion of (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 10.025 * [taylor]: Rewrote expression to (log (+ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 10.025 * [taylor]: Taking taylor expansion of (+ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 10.025 * [taylor]: Taking taylor expansion of 1 in n 10.025 * [backup-simplify]: Simplify 1 into 1 10.025 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 10.025 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 10.025 * [taylor]: Taking taylor expansion of -1 in n 10.025 * [backup-simplify]: Simplify -1 into -1 10.025 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 10.025 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 10.025 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.025 * [taylor]: Taking taylor expansion of f in n 10.025 * [backup-simplify]: Simplify f into f 10.025 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.025 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.025 * [taylor]: Taking taylor expansion of n in n 10.025 * [backup-simplify]: Simplify 0 into 0 10.025 * [backup-simplify]: Simplify 1 into 1 10.025 * [backup-simplify]: Simplify (/ 1 1) into 1 10.025 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 10.025 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.026 * [taylor]: Taking taylor expansion of f in n 10.026 * [backup-simplify]: Simplify f into f 10.026 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.026 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.026 * [taylor]: Taking taylor expansion of n in n 10.026 * [backup-simplify]: Simplify 0 into 0 10.026 * [backup-simplify]: Simplify 1 into 1 10.026 * [backup-simplify]: Simplify (/ 1 1) into 1 10.026 * [backup-simplify]: Simplify (+ 0 1) into 1 10.027 * [backup-simplify]: Simplify (- 1) into -1 10.027 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.027 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.028 * [backup-simplify]: Simplify (* -1 -1) into 1 10.028 * [backup-simplify]: Simplify (exp 1) into E 10.028 * [backup-simplify]: Simplify (+ 1 E) into (+ E 1) 10.029 * [backup-simplify]: Simplify (log (+ E 1)) into (log (+ E 1)) 10.029 * [taylor]: Taking taylor expansion of (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 10.029 * [taylor]: Rewrote expression to (log (+ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 10.029 * [taylor]: Taking taylor expansion of (+ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 10.030 * [taylor]: Taking taylor expansion of 1 in f 10.030 * [backup-simplify]: Simplify 1 into 1 10.030 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 10.030 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 10.030 * [taylor]: Taking taylor expansion of -1 in f 10.030 * [backup-simplify]: Simplify -1 into -1 10.030 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 10.030 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.030 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.030 * [taylor]: Taking taylor expansion of f in f 10.030 * [backup-simplify]: Simplify 0 into 0 10.030 * [backup-simplify]: Simplify 1 into 1 10.030 * [backup-simplify]: Simplify (/ 1 1) into 1 10.030 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.030 * [taylor]: Taking taylor expansion of n in f 10.030 * [backup-simplify]: Simplify n into n 10.030 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.030 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.030 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.030 * [taylor]: Taking taylor expansion of f in f 10.030 * [backup-simplify]: Simplify 0 into 0 10.030 * [backup-simplify]: Simplify 1 into 1 10.031 * [backup-simplify]: Simplify (/ 1 1) into 1 10.031 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.031 * [taylor]: Taking taylor expansion of n in f 10.031 * [backup-simplify]: Simplify n into n 10.031 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.031 * [backup-simplify]: Simplify (+ 1 0) into 1 10.032 * [backup-simplify]: Simplify (+ 1 0) into 1 10.032 * [backup-simplify]: Simplify (/ 1 1) into 1 10.032 * [backup-simplify]: Simplify (* -1 1) into -1 10.033 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.034 * [backup-simplify]: Simplify (+ 1 (exp -1)) into (+ (exp -1) 1) 10.035 * [backup-simplify]: Simplify (log (+ (exp -1) 1)) into (log (+ (exp -1) 1)) 10.035 * [taylor]: Taking taylor expansion of (log1p (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 10.035 * [taylor]: Rewrote expression to (log (+ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 10.035 * [taylor]: Taking taylor expansion of (+ 1 (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 10.035 * [taylor]: Taking taylor expansion of 1 in f 10.035 * [backup-simplify]: Simplify 1 into 1 10.035 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 10.035 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 10.035 * [taylor]: Taking taylor expansion of -1 in f 10.035 * [backup-simplify]: Simplify -1 into -1 10.035 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 10.035 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.035 * [taylor]: Taking taylor expansion of f in f 10.035 * [backup-simplify]: Simplify 0 into 0 10.035 * [backup-simplify]: Simplify 1 into 1 10.036 * [backup-simplify]: Simplify (/ 1 1) into 1 10.036 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.036 * [taylor]: Taking taylor expansion of n in f 10.036 * [backup-simplify]: Simplify n into n 10.036 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.036 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.036 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.036 * [taylor]: Taking taylor expansion of f in f 10.036 * [backup-simplify]: Simplify 0 into 0 10.036 * [backup-simplify]: Simplify 1 into 1 10.036 * [backup-simplify]: Simplify (/ 1 1) into 1 10.036 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.036 * [taylor]: Taking taylor expansion of n in f 10.036 * [backup-simplify]: Simplify n into n 10.036 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.037 * [backup-simplify]: Simplify (+ 1 0) into 1 10.037 * [backup-simplify]: Simplify (+ 1 0) into 1 10.038 * [backup-simplify]: Simplify (/ 1 1) into 1 10.038 * [backup-simplify]: Simplify (* -1 1) into -1 10.038 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.039 * [backup-simplify]: Simplify (+ 1 (exp -1)) into (+ (exp -1) 1) 10.040 * [backup-simplify]: Simplify (log (+ (exp -1) 1)) into (log (+ (exp -1) 1)) 10.041 * [taylor]: Taking taylor expansion of (log (+ (exp -1) 1)) in n 10.041 * [taylor]: Taking taylor expansion of (+ (exp -1) 1) in n 10.041 * [taylor]: Taking taylor expansion of (exp -1) in n 10.041 * [taylor]: Taking taylor expansion of -1 in n 10.041 * [backup-simplify]: Simplify -1 into -1 10.041 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.041 * [taylor]: Taking taylor expansion of 1 in n 10.041 * [backup-simplify]: Simplify 1 into 1 10.042 * [backup-simplify]: Simplify (+ (exp -1) 1) into (+ (exp -1) 1) 10.043 * [backup-simplify]: Simplify (log (+ (exp -1) 1)) into (log (+ (exp -1) 1)) 10.045 * [backup-simplify]: Simplify (log (+ (exp -1) 1)) into (log (+ (exp -1) 1)) 10.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.045 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.046 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 10.046 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 10.046 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 10.047 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 10.047 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 10.048 * [backup-simplify]: Simplify (+ 0 (* -2 (/ (exp -1) n))) into (- (* 2 (/ (exp -1) n))) 10.050 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (+ (exp -1) 1) 1)))) 1) into (* -2 (/ (exp -1) (* (+ (exp -1) 1) n))) 10.050 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) (* (+ (exp -1) 1) n))) in n 10.050 * [taylor]: Taking taylor expansion of -2 in n 10.050 * [backup-simplify]: Simplify -2 into -2 10.050 * [taylor]: Taking taylor expansion of (/ (exp -1) (* (+ (exp -1) 1) n)) in n 10.050 * [taylor]: Taking taylor expansion of (exp -1) in n 10.050 * [taylor]: Taking taylor expansion of -1 in n 10.050 * [backup-simplify]: Simplify -1 into -1 10.050 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.051 * [taylor]: Taking taylor expansion of (* (+ (exp -1) 1) n) in n 10.051 * [taylor]: Taking taylor expansion of (+ (exp -1) 1) in n 10.051 * [taylor]: Taking taylor expansion of (exp -1) in n 10.051 * [taylor]: Taking taylor expansion of -1 in n 10.051 * [backup-simplify]: Simplify -1 into -1 10.051 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.051 * [taylor]: Taking taylor expansion of 1 in n 10.051 * [backup-simplify]: Simplify 1 into 1 10.051 * [taylor]: Taking taylor expansion of n in n 10.051 * [backup-simplify]: Simplify 0 into 0 10.051 * [backup-simplify]: Simplify 1 into 1 10.052 * [backup-simplify]: Simplify (+ (exp -1) 1) into (+ (exp -1) 1) 10.052 * [backup-simplify]: Simplify (* (+ (exp -1) 1) 0) into 0 10.053 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.054 * [backup-simplify]: Simplify (+ 0 0) into 0 10.056 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 1) (* 0 0)) into (+ (exp -1) 1) 10.058 * [backup-simplify]: Simplify (/ (exp -1) (+ (exp -1) 1)) into (/ (exp -1) (+ (exp -1) 1)) 10.059 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.060 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.061 * [backup-simplify]: Simplify (+ 0 0) into 0 10.062 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 1) (* 0 0))) into 0 10.063 * [backup-simplify]: Simplify (- (/ 0 (+ (exp -1) 1)) (+ (* (/ (exp -1) (+ (exp -1) 1)) (/ 0 (+ (exp -1) 1))))) into 0 10.064 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (exp -1) (+ (exp -1) 1)))) into 0 10.064 * [backup-simplify]: Simplify 0 into 0 10.065 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.066 * [backup-simplify]: Simplify (+ 0 0) into 0 10.067 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp -1) 1) 1)))) 1) into 0 10.067 * [backup-simplify]: Simplify 0 into 0 10.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.069 * [backup-simplify]: Simplify (+ 0 0) into 0 10.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.070 * [backup-simplify]: Simplify (- 0) into 0 10.070 * [backup-simplify]: Simplify (+ 0 0) into 0 10.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 10.072 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 10.073 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 10.073 * [backup-simplify]: Simplify (+ 0 0) into 0 10.077 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (+ (exp -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp -1) 1) 1)))) 2) into (* -2 (/ (pow (exp -1) 2) (* (pow (+ (exp -1) 1) 2) (pow n 2)))) 10.077 * [taylor]: Taking taylor expansion of (* -2 (/ (pow (exp -1) 2) (* (pow (+ (exp -1) 1) 2) (pow n 2)))) in n 10.077 * [taylor]: Taking taylor expansion of -2 in n 10.077 * [backup-simplify]: Simplify -2 into -2 10.077 * [taylor]: Taking taylor expansion of (/ (pow (exp -1) 2) (* (pow (+ (exp -1) 1) 2) (pow n 2))) in n 10.077 * [taylor]: Taking taylor expansion of (pow (exp -1) 2) in n 10.077 * [taylor]: Taking taylor expansion of (exp -1) in n 10.077 * [taylor]: Taking taylor expansion of -1 in n 10.077 * [backup-simplify]: Simplify -1 into -1 10.077 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.077 * [taylor]: Taking taylor expansion of (* (pow (+ (exp -1) 1) 2) (pow n 2)) in n 10.077 * [taylor]: Taking taylor expansion of (pow (+ (exp -1) 1) 2) in n 10.077 * [taylor]: Taking taylor expansion of (+ (exp -1) 1) in n 10.077 * [taylor]: Taking taylor expansion of (exp -1) in n 10.077 * [taylor]: Taking taylor expansion of -1 in n 10.077 * [backup-simplify]: Simplify -1 into -1 10.078 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.078 * [taylor]: Taking taylor expansion of 1 in n 10.078 * [backup-simplify]: Simplify 1 into 1 10.079 * [backup-simplify]: Simplify (+ (exp -1) 1) into (+ (exp -1) 1) 10.079 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.079 * [taylor]: Taking taylor expansion of n in n 10.079 * [backup-simplify]: Simplify 0 into 0 10.079 * [backup-simplify]: Simplify 1 into 1 10.080 * [backup-simplify]: Simplify (* (exp -1) (exp -1)) into (pow (exp -1) 2) 10.082 * [backup-simplify]: Simplify (* (+ (exp -1) 1) (+ (exp -1) 1)) into (pow (+ (exp -1) 1) 2) 10.083 * [backup-simplify]: Simplify (* 1 1) into 1 10.085 * [backup-simplify]: Simplify (* (pow (+ (exp -1) 1) 2) 1) into (pow (+ (exp -1) 1) 2) 10.088 * [backup-simplify]: Simplify (/ (pow (exp -1) 2) (pow (+ (exp -1) 1) 2)) into (/ (pow (exp -1) 2) (pow (+ (exp -1) 1) 2)) 10.090 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.091 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.092 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 10.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.094 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.094 * [backup-simplify]: Simplify (+ 0 0) into 0 10.095 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (* 0 (+ (exp -1) 1))) into 0 10.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.097 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.098 * [backup-simplify]: Simplify (+ 0 0) into 0 10.099 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 0) (* 0 (+ (exp -1) 1)))) into 0 10.101 * [backup-simplify]: Simplify (+ (* (pow (+ (exp -1) 1) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.101 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (* 0 (exp -1))) into 0 10.103 * [backup-simplify]: Simplify (+ (* (pow (+ (exp -1) 1) 2) 0) (* 0 1)) into 0 10.105 * [backup-simplify]: Simplify (- (/ 0 (pow (+ (exp -1) 1) 2)) (+ (* (/ (pow (exp -1) 2) (pow (+ (exp -1) 1) 2)) (/ 0 (pow (+ (exp -1) 1) 2))))) into 0 10.107 * [backup-simplify]: Simplify (- (/ 0 (pow (+ (exp -1) 1) 2)) (+ (* (/ (pow (exp -1) 2) (pow (+ (exp -1) 1) 2)) (/ 0 (pow (+ (exp -1) 1) 2))) (* 0 (/ 0 (pow (+ (exp -1) 1) 2))))) into 0 10.109 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (pow (exp -1) 2) (pow (+ (exp -1) 1) 2))))) into 0 10.109 * [backup-simplify]: Simplify 0 into 0 10.111 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.116 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.117 * [backup-simplify]: Simplify (+ 0 0) into 0 10.119 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.120 * [backup-simplify]: Simplify (- (/ 0 (+ (exp -1) 1)) (+ (* (/ (exp -1) (+ (exp -1) 1)) (/ 0 (+ (exp -1) 1))) (* 0 (/ 0 (+ (exp -1) 1))))) into 0 10.122 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (exp -1) (+ (exp -1) 1))))) into 0 10.122 * [backup-simplify]: Simplify 0 into 0 10.124 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.124 * [backup-simplify]: Simplify (+ 0 0) into 0 10.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp -1) 1) 1)))) 2) into 0 10.128 * [backup-simplify]: Simplify 0 into 0 10.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.129 * [backup-simplify]: Simplify (+ 0 0) into 0 10.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.131 * [backup-simplify]: Simplify (- 0) into 0 10.131 * [backup-simplify]: Simplify (+ 0 0) into 0 10.133 * [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))) 10.134 * [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)))) 10.135 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 10.136 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 10.143 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (+ (exp -1) 1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (+ (exp -1) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (+ (exp -1) 1) 1)))) 6) into (* 1/6 (- (* 4 (/ (exp -1) (* (+ (exp -1) 1) (pow n 3)))) (* 16 (/ (pow (exp -1) 3) (* (pow (+ (exp -1) 1) 3) (pow n 3)))))) 10.143 * [taylor]: Taking taylor expansion of (* 1/6 (- (* 4 (/ (exp -1) (* (+ (exp -1) 1) (pow n 3)))) (* 16 (/ (pow (exp -1) 3) (* (pow (+ (exp -1) 1) 3) (pow n 3)))))) in n 10.143 * [taylor]: Taking taylor expansion of 1/6 in n 10.143 * [backup-simplify]: Simplify 1/6 into 1/6 10.143 * [taylor]: Taking taylor expansion of (- (* 4 (/ (exp -1) (* (+ (exp -1) 1) (pow n 3)))) (* 16 (/ (pow (exp -1) 3) (* (pow (+ (exp -1) 1) 3) (pow n 3))))) in n 10.143 * [taylor]: Taking taylor expansion of (* 4 (/ (exp -1) (* (+ (exp -1) 1) (pow n 3)))) in n 10.143 * [taylor]: Taking taylor expansion of 4 in n 10.143 * [backup-simplify]: Simplify 4 into 4 10.143 * [taylor]: Taking taylor expansion of (/ (exp -1) (* (+ (exp -1) 1) (pow n 3))) in n 10.143 * [taylor]: Taking taylor expansion of (exp -1) in n 10.143 * [taylor]: Taking taylor expansion of -1 in n 10.143 * [backup-simplify]: Simplify -1 into -1 10.144 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.144 * [taylor]: Taking taylor expansion of (* (+ (exp -1) 1) (pow n 3)) in n 10.144 * [taylor]: Taking taylor expansion of (+ (exp -1) 1) in n 10.144 * [taylor]: Taking taylor expansion of (exp -1) in n 10.144 * [taylor]: Taking taylor expansion of -1 in n 10.144 * [backup-simplify]: Simplify -1 into -1 10.144 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.144 * [taylor]: Taking taylor expansion of 1 in n 10.144 * [backup-simplify]: Simplify 1 into 1 10.144 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.144 * [taylor]: Taking taylor expansion of n in n 10.145 * [backup-simplify]: Simplify 0 into 0 10.145 * [backup-simplify]: Simplify 1 into 1 10.145 * [backup-simplify]: Simplify (+ (exp -1) 1) into (+ (exp -1) 1) 10.146 * [backup-simplify]: Simplify (* 1 1) into 1 10.146 * [backup-simplify]: Simplify (* 1 1) into 1 10.148 * [backup-simplify]: Simplify (* (+ (exp -1) 1) 1) into (+ (exp -1) 1) 10.150 * [backup-simplify]: Simplify (/ (exp -1) (+ (exp -1) 1)) into (/ (exp -1) (+ (exp -1) 1)) 10.150 * [taylor]: Taking taylor expansion of (* 16 (/ (pow (exp -1) 3) (* (pow (+ (exp -1) 1) 3) (pow n 3)))) in n 10.150 * [taylor]: Taking taylor expansion of 16 in n 10.150 * [backup-simplify]: Simplify 16 into 16 10.150 * [taylor]: Taking taylor expansion of (/ (pow (exp -1) 3) (* (pow (+ (exp -1) 1) 3) (pow n 3))) in n 10.150 * [taylor]: Taking taylor expansion of (pow (exp -1) 3) in n 10.150 * [taylor]: Taking taylor expansion of (exp -1) in n 10.150 * [taylor]: Taking taylor expansion of -1 in n 10.150 * [backup-simplify]: Simplify -1 into -1 10.150 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.150 * [taylor]: Taking taylor expansion of (* (pow (+ (exp -1) 1) 3) (pow n 3)) in n 10.150 * [taylor]: Taking taylor expansion of (pow (+ (exp -1) 1) 3) in n 10.150 * [taylor]: Taking taylor expansion of (+ (exp -1) 1) in n 10.150 * [taylor]: Taking taylor expansion of (exp -1) in n 10.150 * [taylor]: Taking taylor expansion of -1 in n 10.150 * [backup-simplify]: Simplify -1 into -1 10.151 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.151 * [taylor]: Taking taylor expansion of 1 in n 10.151 * [backup-simplify]: Simplify 1 into 1 10.152 * [backup-simplify]: Simplify (+ (exp -1) 1) into (+ (exp -1) 1) 10.152 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.152 * [taylor]: Taking taylor expansion of n in n 10.152 * [backup-simplify]: Simplify 0 into 0 10.152 * [backup-simplify]: Simplify 1 into 1 10.153 * [backup-simplify]: Simplify (* (exp -1) (exp -1)) into (pow (exp -1) 2) 10.155 * [backup-simplify]: Simplify (* (exp -1) (pow (exp -1) 2)) into (pow (exp -1) 3) 10.157 * [backup-simplify]: Simplify (* (+ (exp -1) 1) (+ (exp -1) 1)) into (pow (+ (exp -1) 1) 2) 10.161 * [backup-simplify]: Simplify (* (+ (exp -1) 1) (pow (+ (exp -1) 1) 2)) into (pow (+ (exp -1) 1) 3) 10.161 * [backup-simplify]: Simplify (* 1 1) into 1 10.162 * [backup-simplify]: Simplify (* 1 1) into 1 10.164 * [backup-simplify]: Simplify (* (pow (+ (exp -1) 1) 3) 1) into (pow (+ (exp -1) 1) 3) 10.168 * [backup-simplify]: Simplify (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)) into (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)) 10.170 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.175 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.176 * [backup-simplify]: Simplify (+ 0 0) into 0 10.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.178 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.179 * [backup-simplify]: Simplify (+ 0 0) into 0 10.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.182 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.182 * [backup-simplify]: Simplify (+ 0 0) into 0 10.184 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.185 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.186 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (* 0 1)) into 0 10.187 * [backup-simplify]: Simplify (- (/ 0 (+ (exp -1) 1)) (+ (* (/ (exp -1) (+ (exp -1) 1)) (/ 0 (+ (exp -1) 1))))) into 0 10.189 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 0) (* 0 1))) into 0 10.191 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.193 * [backup-simplify]: Simplify (- (/ 0 (+ (exp -1) 1)) (+ (* (/ (exp -1) (+ (exp -1) 1)) (/ 0 (+ (exp -1) 1))) (* 0 (/ 0 (+ (exp -1) 1))))) into 0 10.195 * [backup-simplify]: Simplify (- (/ 0 (+ (exp -1) 1)) (+ (* (/ (exp -1) (+ (exp -1) 1)) (/ 0 (+ (exp -1) 1))) (* 0 (/ 0 (+ (exp -1) 1))) (* 0 (/ 0 (+ (exp -1) 1))))) into 0 10.197 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (exp -1) (+ (exp -1) 1)))))) into 0 10.199 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.200 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.202 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.203 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 10.204 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 10.205 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (* 0 (exp -1))) into 0 10.207 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp -1) 2))))) into 0 10.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.211 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.212 * [backup-simplify]: Simplify (+ 0 0) into 0 10.213 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (* 0 (+ (exp -1) 1))) into 0 10.214 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (* 0 (pow (+ (exp -1) 1) 2))) into 0 10.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.217 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.217 * [backup-simplify]: Simplify (+ 0 0) into 0 10.219 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 0) (* 0 (+ (exp -1) 1)))) into 0 10.220 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 0) (* 0 (pow (+ (exp -1) 1) 2)))) into 0 10.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.223 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.224 * [backup-simplify]: Simplify (+ 0 0) into 0 10.225 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp -1) 1))))) into 0 10.227 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp -1) 1) 2))))) into 0 10.229 * [backup-simplify]: Simplify (+ (* (pow (+ (exp -1) 1) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.230 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (* 0 (pow (exp -1) 2))) into 0 10.231 * [backup-simplify]: Simplify (+ (* (pow (+ (exp -1) 1) 3) 0) (* 0 1)) into 0 10.233 * [backup-simplify]: Simplify (- (/ 0 (pow (+ (exp -1) 1) 3)) (+ (* (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)) (/ 0 (pow (+ (exp -1) 1) 3))))) into 0 10.235 * [backup-simplify]: Simplify (+ (* (pow (+ (exp -1) 1) 3) 0) (+ (* 0 0) (* 0 1))) into 0 10.236 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (* 0 (pow (exp -1) 2)))) into 0 10.238 * [backup-simplify]: Simplify (- (/ 0 (pow (+ (exp -1) 1) 3)) (+ (* (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)) (/ 0 (pow (+ (exp -1) 1) 3))) (* 0 (/ 0 (pow (+ (exp -1) 1) 3))))) into 0 10.240 * [backup-simplify]: Simplify (- (/ 0 (pow (+ (exp -1) 1) 3)) (+ (* (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)) (/ 0 (pow (+ (exp -1) 1) 3))) (* 0 (/ 0 (pow (+ (exp -1) 1) 3))) (* 0 (/ 0 (pow (+ (exp -1) 1) 3))))) into 0 10.243 * [backup-simplify]: Simplify (+ (* 16 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)))))) into 0 10.244 * [backup-simplify]: Simplify (- 0) into 0 10.244 * [backup-simplify]: Simplify (+ 0 0) into 0 10.246 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (exp -1) (+ (exp -1) 1))))) into 0 10.248 * [backup-simplify]: Simplify (+ (* 16 0) (+ (* 0 0) (* 0 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3))))) into 0 10.249 * [backup-simplify]: Simplify (- 0) into 0 10.249 * [backup-simplify]: Simplify (+ 0 0) into 0 10.250 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ (exp -1) (+ (exp -1) 1)))) into 0 10.252 * [backup-simplify]: Simplify (+ (* 16 0) (* 0 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)))) into 0 10.252 * [backup-simplify]: Simplify (- 0) into 0 10.253 * [backup-simplify]: Simplify (+ 0 0) into 0 10.256 * [backup-simplify]: Simplify (* 4 (/ (exp -1) (+ (exp -1) 1))) into (* 4 (/ (exp -1) (+ (exp -1) 1))) 10.261 * [backup-simplify]: Simplify (* 16 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3))) into (* 16 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3))) 10.270 * [backup-simplify]: Simplify (- (* 16 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)))) into (- (* 16 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)))) 10.281 * [backup-simplify]: Simplify (+ (* 4 (/ (exp -1) (+ (exp -1) 1))) (- (* 16 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3))))) into (- (* 4 (/ (exp -1) (+ (exp -1) 1))) (* 16 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)))) 10.285 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 4 (/ (exp -1) (+ (exp -1) 1))) (* 16 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)))))))) into 0 10.285 * [backup-simplify]: Simplify 0 into 0 10.287 * [backup-simplify]: Simplify (log (+ (exp -1) 1)) into (log (+ (exp -1) 1)) 10.287 * [backup-simplify]: Simplify (log1p (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 10.287 * [approximate]: Taking taylor expansion of (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 10.287 * [taylor]: Taking taylor expansion of (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 10.287 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 10.287 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 10.287 * [taylor]: Taking taylor expansion of 1 in n 10.288 * [backup-simplify]: Simplify 1 into 1 10.288 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 10.288 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 10.288 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 10.288 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.288 * [taylor]: Taking taylor expansion of f in n 10.288 * [backup-simplify]: Simplify f into f 10.288 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.288 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.288 * [taylor]: Taking taylor expansion of n in n 10.288 * [backup-simplify]: Simplify 0 into 0 10.288 * [backup-simplify]: Simplify 1 into 1 10.288 * [backup-simplify]: Simplify (/ 1 1) into 1 10.288 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 10.288 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.288 * [taylor]: Taking taylor expansion of n in n 10.288 * [backup-simplify]: Simplify 0 into 0 10.288 * [backup-simplify]: Simplify 1 into 1 10.289 * [backup-simplify]: Simplify (/ 1 1) into 1 10.289 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.289 * [taylor]: Taking taylor expansion of f in n 10.289 * [backup-simplify]: Simplify f into f 10.289 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.289 * [backup-simplify]: Simplify (+ 0 1) into 1 10.289 * [backup-simplify]: Simplify (+ 1 0) into 1 10.289 * [backup-simplify]: Simplify (/ 1 1) into 1 10.289 * [backup-simplify]: Simplify (exp 1) into E 10.290 * [backup-simplify]: Simplify (+ 1 E) into (+ E 1) 10.290 * [backup-simplify]: Simplify (log (+ E 1)) into (log (+ E 1)) 10.290 * [taylor]: Taking taylor expansion of (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 10.291 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 10.291 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 10.291 * [taylor]: Taking taylor expansion of 1 in f 10.291 * [backup-simplify]: Simplify 1 into 1 10.291 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 10.291 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 10.291 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.291 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.291 * [taylor]: Taking taylor expansion of f in f 10.291 * [backup-simplify]: Simplify 0 into 0 10.291 * [backup-simplify]: Simplify 1 into 1 10.291 * [backup-simplify]: Simplify (/ 1 1) into 1 10.291 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.291 * [taylor]: Taking taylor expansion of n in f 10.291 * [backup-simplify]: Simplify n into n 10.291 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.291 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.291 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.291 * [taylor]: Taking taylor expansion of n in f 10.291 * [backup-simplify]: Simplify n into n 10.291 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.291 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.291 * [taylor]: Taking taylor expansion of f in f 10.291 * [backup-simplify]: Simplify 0 into 0 10.291 * [backup-simplify]: Simplify 1 into 1 10.291 * [backup-simplify]: Simplify (/ 1 1) into 1 10.292 * [backup-simplify]: Simplify (+ 1 0) into 1 10.292 * [backup-simplify]: Simplify (- 1) into -1 10.293 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.293 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.293 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.294 * [backup-simplify]: Simplify (+ 1 (exp -1)) into (+ (exp -1) 1) 10.294 * [backup-simplify]: Simplify (log (+ (exp -1) 1)) into (log (+ (exp -1) 1)) 10.294 * [taylor]: Taking taylor expansion of (log1p (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 10.295 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 10.295 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 10.295 * [taylor]: Taking taylor expansion of 1 in f 10.295 * [backup-simplify]: Simplify 1 into 1 10.295 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 10.295 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 10.295 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.295 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.295 * [taylor]: Taking taylor expansion of f in f 10.295 * [backup-simplify]: Simplify 0 into 0 10.295 * [backup-simplify]: Simplify 1 into 1 10.295 * [backup-simplify]: Simplify (/ 1 1) into 1 10.295 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.295 * [taylor]: Taking taylor expansion of n in f 10.295 * [backup-simplify]: Simplify n into n 10.295 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.295 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.295 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.295 * [taylor]: Taking taylor expansion of n in f 10.295 * [backup-simplify]: Simplify n into n 10.295 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.295 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.295 * [taylor]: Taking taylor expansion of f in f 10.295 * [backup-simplify]: Simplify 0 into 0 10.295 * [backup-simplify]: Simplify 1 into 1 10.295 * [backup-simplify]: Simplify (/ 1 1) into 1 10.296 * [backup-simplify]: Simplify (+ 1 0) into 1 10.296 * [backup-simplify]: Simplify (- 1) into -1 10.296 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.297 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.297 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.297 * [backup-simplify]: Simplify (+ 1 (exp -1)) into (+ (exp -1) 1) 10.298 * [backup-simplify]: Simplify (log (+ (exp -1) 1)) into (log (+ (exp -1) 1)) 10.298 * [taylor]: Taking taylor expansion of (log (+ (exp -1) 1)) in n 10.298 * [taylor]: Taking taylor expansion of (+ (exp -1) 1) in n 10.298 * [taylor]: Taking taylor expansion of (exp -1) in n 10.298 * [taylor]: Taking taylor expansion of -1 in n 10.298 * [backup-simplify]: Simplify -1 into -1 10.299 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.299 * [taylor]: Taking taylor expansion of 1 in n 10.299 * [backup-simplify]: Simplify 1 into 1 10.299 * [backup-simplify]: Simplify (+ (exp -1) 1) into (+ (exp -1) 1) 10.300 * [backup-simplify]: Simplify (log (+ (exp -1) 1)) into (log (+ (exp -1) 1)) 10.301 * [backup-simplify]: Simplify (log (+ (exp -1) 1)) into (log (+ (exp -1) 1)) 10.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.302 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.302 * [backup-simplify]: Simplify (- 0) into 0 10.302 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 10.302 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 10.303 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 10.303 * [backup-simplify]: Simplify (+ 0 (* -2 (/ (exp -1) n))) into (- (* 2 (/ (exp -1) n))) 10.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (+ (exp -1) 1) 1)))) 1) into (* -2 (/ (exp -1) (* (+ (exp -1) 1) n))) 10.305 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) (* (+ (exp -1) 1) n))) in n 10.305 * [taylor]: Taking taylor expansion of -2 in n 10.305 * [backup-simplify]: Simplify -2 into -2 10.305 * [taylor]: Taking taylor expansion of (/ (exp -1) (* (+ (exp -1) 1) n)) in n 10.305 * [taylor]: Taking taylor expansion of (exp -1) in n 10.305 * [taylor]: Taking taylor expansion of -1 in n 10.305 * [backup-simplify]: Simplify -1 into -1 10.305 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.305 * [taylor]: Taking taylor expansion of (* (+ (exp -1) 1) n) in n 10.305 * [taylor]: Taking taylor expansion of (+ (exp -1) 1) in n 10.305 * [taylor]: Taking taylor expansion of (exp -1) in n 10.305 * [taylor]: Taking taylor expansion of -1 in n 10.305 * [backup-simplify]: Simplify -1 into -1 10.305 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.305 * [taylor]: Taking taylor expansion of 1 in n 10.305 * [backup-simplify]: Simplify 1 into 1 10.305 * [taylor]: Taking taylor expansion of n in n 10.305 * [backup-simplify]: Simplify 0 into 0 10.305 * [backup-simplify]: Simplify 1 into 1 10.306 * [backup-simplify]: Simplify (+ (exp -1) 1) into (+ (exp -1) 1) 10.306 * [backup-simplify]: Simplify (* (+ (exp -1) 1) 0) into 0 10.307 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.307 * [backup-simplify]: Simplify (+ 0 0) into 0 10.309 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 1) (* 0 0)) into (+ (exp -1) 1) 10.310 * [backup-simplify]: Simplify (/ (exp -1) (+ (exp -1) 1)) into (/ (exp -1) (+ (exp -1) 1)) 10.311 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.312 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.312 * [backup-simplify]: Simplify (+ 0 0) into 0 10.313 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 1) (* 0 0))) into 0 10.313 * [backup-simplify]: Simplify (- (/ 0 (+ (exp -1) 1)) (+ (* (/ (exp -1) (+ (exp -1) 1)) (/ 0 (+ (exp -1) 1))))) into 0 10.314 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (exp -1) (+ (exp -1) 1)))) into 0 10.314 * [backup-simplify]: Simplify 0 into 0 10.315 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.315 * [backup-simplify]: Simplify (+ 0 0) into 0 10.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp -1) 1) 1)))) 1) into 0 10.316 * [backup-simplify]: Simplify 0 into 0 10.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.317 * [backup-simplify]: Simplify (+ 0 0) into 0 10.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.318 * [backup-simplify]: Simplify (- 0) into 0 10.318 * [backup-simplify]: Simplify (+ 0 0) into 0 10.319 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 10.319 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 10.320 * [backup-simplify]: Simplify (+ 0 0) into 0 10.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (+ (exp -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp -1) 1) 1)))) 2) into (* -2 (/ (pow (exp -1) 2) (* (pow (+ (exp -1) 1) 2) (pow n 2)))) 10.323 * [taylor]: Taking taylor expansion of (* -2 (/ (pow (exp -1) 2) (* (pow (+ (exp -1) 1) 2) (pow n 2)))) in n 10.323 * [taylor]: Taking taylor expansion of -2 in n 10.323 * [backup-simplify]: Simplify -2 into -2 10.323 * [taylor]: Taking taylor expansion of (/ (pow (exp -1) 2) (* (pow (+ (exp -1) 1) 2) (pow n 2))) in n 10.323 * [taylor]: Taking taylor expansion of (pow (exp -1) 2) in n 10.324 * [taylor]: Taking taylor expansion of (exp -1) in n 10.324 * [taylor]: Taking taylor expansion of -1 in n 10.324 * [backup-simplify]: Simplify -1 into -1 10.324 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.324 * [taylor]: Taking taylor expansion of (* (pow (+ (exp -1) 1) 2) (pow n 2)) in n 10.324 * [taylor]: Taking taylor expansion of (pow (+ (exp -1) 1) 2) in n 10.324 * [taylor]: Taking taylor expansion of (+ (exp -1) 1) in n 10.324 * [taylor]: Taking taylor expansion of (exp -1) in n 10.324 * [taylor]: Taking taylor expansion of -1 in n 10.324 * [backup-simplify]: Simplify -1 into -1 10.325 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.325 * [taylor]: Taking taylor expansion of 1 in n 10.325 * [backup-simplify]: Simplify 1 into 1 10.326 * [backup-simplify]: Simplify (+ (exp -1) 1) into (+ (exp -1) 1) 10.326 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.326 * [taylor]: Taking taylor expansion of n in n 10.326 * [backup-simplify]: Simplify 0 into 0 10.326 * [backup-simplify]: Simplify 1 into 1 10.327 * [backup-simplify]: Simplify (* (exp -1) (exp -1)) into (pow (exp -1) 2) 10.329 * [backup-simplify]: Simplify (* (+ (exp -1) 1) (+ (exp -1) 1)) into (pow (+ (exp -1) 1) 2) 10.330 * [backup-simplify]: Simplify (* 1 1) into 1 10.332 * [backup-simplify]: Simplify (* (pow (+ (exp -1) 1) 2) 1) into (pow (+ (exp -1) 1) 2) 10.336 * [backup-simplify]: Simplify (/ (pow (exp -1) 2) (pow (+ (exp -1) 1) 2)) into (/ (pow (exp -1) 2) (pow (+ (exp -1) 1) 2)) 10.337 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.338 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.338 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 10.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.340 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.340 * [backup-simplify]: Simplify (+ 0 0) into 0 10.341 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (* 0 (+ (exp -1) 1))) into 0 10.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.342 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.343 * [backup-simplify]: Simplify (+ 0 0) into 0 10.343 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 0) (* 0 (+ (exp -1) 1)))) into 0 10.344 * [backup-simplify]: Simplify (+ (* (pow (+ (exp -1) 1) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.345 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (* 0 (exp -1))) into 0 10.345 * [backup-simplify]: Simplify (+ (* (pow (+ (exp -1) 1) 2) 0) (* 0 1)) into 0 10.346 * [backup-simplify]: Simplify (- (/ 0 (pow (+ (exp -1) 1) 2)) (+ (* (/ (pow (exp -1) 2) (pow (+ (exp -1) 1) 2)) (/ 0 (pow (+ (exp -1) 1) 2))))) into 0 10.348 * [backup-simplify]: Simplify (- (/ 0 (pow (+ (exp -1) 1) 2)) (+ (* (/ (pow (exp -1) 2) (pow (+ (exp -1) 1) 2)) (/ 0 (pow (+ (exp -1) 1) 2))) (* 0 (/ 0 (pow (+ (exp -1) 1) 2))))) into 0 10.349 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (pow (exp -1) 2) (pow (+ (exp -1) 1) 2))))) into 0 10.349 * [backup-simplify]: Simplify 0 into 0 10.350 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.351 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.351 * [backup-simplify]: Simplify (+ 0 0) into 0 10.352 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.353 * [backup-simplify]: Simplify (- (/ 0 (+ (exp -1) 1)) (+ (* (/ (exp -1) (+ (exp -1) 1)) (/ 0 (+ (exp -1) 1))) (* 0 (/ 0 (+ (exp -1) 1))))) into 0 10.354 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (exp -1) (+ (exp -1) 1))))) into 0 10.354 * [backup-simplify]: Simplify 0 into 0 10.355 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.355 * [backup-simplify]: Simplify (+ 0 0) into 0 10.357 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp -1) 1) 1)))) 2) into 0 10.357 * [backup-simplify]: Simplify 0 into 0 10.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.358 * [backup-simplify]: Simplify (+ 0 0) into 0 10.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.359 * [backup-simplify]: Simplify (- 0) into 0 10.359 * [backup-simplify]: Simplify (+ 0 0) into 0 10.360 * [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)))) 10.361 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 10.362 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 10.366 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (+ (exp -1) 1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (+ (exp -1) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (+ (exp -1) 1) 1)))) 6) into (* 1/6 (- (* 4 (/ (exp -1) (* (+ (exp -1) 1) (pow n 3)))) (* 16 (/ (pow (exp -1) 3) (* (pow (+ (exp -1) 1) 3) (pow n 3)))))) 10.366 * [taylor]: Taking taylor expansion of (* 1/6 (- (* 4 (/ (exp -1) (* (+ (exp -1) 1) (pow n 3)))) (* 16 (/ (pow (exp -1) 3) (* (pow (+ (exp -1) 1) 3) (pow n 3)))))) in n 10.366 * [taylor]: Taking taylor expansion of 1/6 in n 10.366 * [backup-simplify]: Simplify 1/6 into 1/6 10.366 * [taylor]: Taking taylor expansion of (- (* 4 (/ (exp -1) (* (+ (exp -1) 1) (pow n 3)))) (* 16 (/ (pow (exp -1) 3) (* (pow (+ (exp -1) 1) 3) (pow n 3))))) in n 10.366 * [taylor]: Taking taylor expansion of (* 4 (/ (exp -1) (* (+ (exp -1) 1) (pow n 3)))) in n 10.366 * [taylor]: Taking taylor expansion of 4 in n 10.366 * [backup-simplify]: Simplify 4 into 4 10.366 * [taylor]: Taking taylor expansion of (/ (exp -1) (* (+ (exp -1) 1) (pow n 3))) in n 10.366 * [taylor]: Taking taylor expansion of (exp -1) in n 10.366 * [taylor]: Taking taylor expansion of -1 in n 10.366 * [backup-simplify]: Simplify -1 into -1 10.368 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.368 * [taylor]: Taking taylor expansion of (* (+ (exp -1) 1) (pow n 3)) in n 10.368 * [taylor]: Taking taylor expansion of (+ (exp -1) 1) in n 10.368 * [taylor]: Taking taylor expansion of (exp -1) in n 10.368 * [taylor]: Taking taylor expansion of -1 in n 10.368 * [backup-simplify]: Simplify -1 into -1 10.368 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.368 * [taylor]: Taking taylor expansion of 1 in n 10.368 * [backup-simplify]: Simplify 1 into 1 10.368 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.369 * [taylor]: Taking taylor expansion of n in n 10.369 * [backup-simplify]: Simplify 0 into 0 10.369 * [backup-simplify]: Simplify 1 into 1 10.369 * [backup-simplify]: Simplify (+ (exp -1) 1) into (+ (exp -1) 1) 10.370 * [backup-simplify]: Simplify (* 1 1) into 1 10.370 * [backup-simplify]: Simplify (* 1 1) into 1 10.372 * [backup-simplify]: Simplify (* (+ (exp -1) 1) 1) into (+ (exp -1) 1) 10.374 * [backup-simplify]: Simplify (/ (exp -1) (+ (exp -1) 1)) into (/ (exp -1) (+ (exp -1) 1)) 10.374 * [taylor]: Taking taylor expansion of (* 16 (/ (pow (exp -1) 3) (* (pow (+ (exp -1) 1) 3) (pow n 3)))) in n 10.374 * [taylor]: Taking taylor expansion of 16 in n 10.374 * [backup-simplify]: Simplify 16 into 16 10.374 * [taylor]: Taking taylor expansion of (/ (pow (exp -1) 3) (* (pow (+ (exp -1) 1) 3) (pow n 3))) in n 10.374 * [taylor]: Taking taylor expansion of (pow (exp -1) 3) in n 10.374 * [taylor]: Taking taylor expansion of (exp -1) in n 10.374 * [taylor]: Taking taylor expansion of -1 in n 10.374 * [backup-simplify]: Simplify -1 into -1 10.374 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.374 * [taylor]: Taking taylor expansion of (* (pow (+ (exp -1) 1) 3) (pow n 3)) in n 10.374 * [taylor]: Taking taylor expansion of (pow (+ (exp -1) 1) 3) in n 10.374 * [taylor]: Taking taylor expansion of (+ (exp -1) 1) in n 10.374 * [taylor]: Taking taylor expansion of (exp -1) in n 10.374 * [taylor]: Taking taylor expansion of -1 in n 10.374 * [backup-simplify]: Simplify -1 into -1 10.375 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.375 * [taylor]: Taking taylor expansion of 1 in n 10.375 * [backup-simplify]: Simplify 1 into 1 10.376 * [backup-simplify]: Simplify (+ (exp -1) 1) into (+ (exp -1) 1) 10.376 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.376 * [taylor]: Taking taylor expansion of n in n 10.376 * [backup-simplify]: Simplify 0 into 0 10.376 * [backup-simplify]: Simplify 1 into 1 10.377 * [backup-simplify]: Simplify (* (exp -1) (exp -1)) into (pow (exp -1) 2) 10.379 * [backup-simplify]: Simplify (* (exp -1) (pow (exp -1) 2)) into (pow (exp -1) 3) 10.381 * [backup-simplify]: Simplify (* (+ (exp -1) 1) (+ (exp -1) 1)) into (pow (+ (exp -1) 1) 2) 10.385 * [backup-simplify]: Simplify (* (+ (exp -1) 1) (pow (+ (exp -1) 1) 2)) into (pow (+ (exp -1) 1) 3) 10.385 * [backup-simplify]: Simplify (* 1 1) into 1 10.386 * [backup-simplify]: Simplify (* 1 1) into 1 10.388 * [backup-simplify]: Simplify (* (pow (+ (exp -1) 1) 3) 1) into (pow (+ (exp -1) 1) 3) 10.390 * [backup-simplify]: Simplify (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)) into (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)) 10.391 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.395 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.395 * [backup-simplify]: Simplify (+ 0 0) into 0 10.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.396 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.397 * [backup-simplify]: Simplify (+ 0 0) into 0 10.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.398 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.398 * [backup-simplify]: Simplify (+ 0 0) into 0 10.399 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.400 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.400 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (* 0 1)) into 0 10.401 * [backup-simplify]: Simplify (- (/ 0 (+ (exp -1) 1)) (+ (* (/ (exp -1) (+ (exp -1) 1)) (/ 0 (+ (exp -1) 1))))) into 0 10.402 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 0) (* 0 1))) into 0 10.403 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.404 * [backup-simplify]: Simplify (- (/ 0 (+ (exp -1) 1)) (+ (* (/ (exp -1) (+ (exp -1) 1)) (/ 0 (+ (exp -1) 1))) (* 0 (/ 0 (+ (exp -1) 1))))) into 0 10.405 * [backup-simplify]: Simplify (- (/ 0 (+ (exp -1) 1)) (+ (* (/ (exp -1) (+ (exp -1) 1)) (/ 0 (+ (exp -1) 1))) (* 0 (/ 0 (+ (exp -1) 1))) (* 0 (/ 0 (+ (exp -1) 1))))) into 0 10.406 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (exp -1) (+ (exp -1) 1)))))) into 0 10.407 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.407 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.408 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.409 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 10.410 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 10.410 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (* 0 (exp -1))) into 0 10.411 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp -1) 2))))) into 0 10.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.415 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.415 * [backup-simplify]: Simplify (+ 0 0) into 0 10.416 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (* 0 (+ (exp -1) 1))) into 0 10.418 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (* 0 (pow (+ (exp -1) 1) 2))) into 0 10.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.420 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.421 * [backup-simplify]: Simplify (+ 0 0) into 0 10.422 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 0) (* 0 (+ (exp -1) 1)))) into 0 10.423 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 0) (* 0 (pow (+ (exp -1) 1) 2)))) into 0 10.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.426 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.427 * [backup-simplify]: Simplify (+ 0 0) into 0 10.428 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp -1) 1))))) into 0 10.430 * [backup-simplify]: Simplify (+ (* (+ (exp -1) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp -1) 1) 2))))) into 0 10.432 * [backup-simplify]: Simplify (+ (* (pow (+ (exp -1) 1) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.433 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (* 0 (pow (exp -1) 2))) into 0 10.434 * [backup-simplify]: Simplify (+ (* (pow (+ (exp -1) 1) 3) 0) (* 0 1)) into 0 10.436 * [backup-simplify]: Simplify (- (/ 0 (pow (+ (exp -1) 1) 3)) (+ (* (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)) (/ 0 (pow (+ (exp -1) 1) 3))))) into 0 10.437 * [backup-simplify]: Simplify (+ (* (pow (+ (exp -1) 1) 3) 0) (+ (* 0 0) (* 0 1))) into 0 10.439 * [backup-simplify]: Simplify (+ (* (exp -1) 0) (+ (* 0 0) (* 0 (pow (exp -1) 2)))) into 0 10.441 * [backup-simplify]: Simplify (- (/ 0 (pow (+ (exp -1) 1) 3)) (+ (* (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)) (/ 0 (pow (+ (exp -1) 1) 3))) (* 0 (/ 0 (pow (+ (exp -1) 1) 3))))) into 0 10.443 * [backup-simplify]: Simplify (- (/ 0 (pow (+ (exp -1) 1) 3)) (+ (* (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)) (/ 0 (pow (+ (exp -1) 1) 3))) (* 0 (/ 0 (pow (+ (exp -1) 1) 3))) (* 0 (/ 0 (pow (+ (exp -1) 1) 3))))) into 0 10.446 * [backup-simplify]: Simplify (+ (* 16 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)))))) into 0 10.446 * [backup-simplify]: Simplify (- 0) into 0 10.447 * [backup-simplify]: Simplify (+ 0 0) into 0 10.448 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (exp -1) (+ (exp -1) 1))))) into 0 10.451 * [backup-simplify]: Simplify (+ (* 16 0) (+ (* 0 0) (* 0 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3))))) into 0 10.451 * [backup-simplify]: Simplify (- 0) into 0 10.451 * [backup-simplify]: Simplify (+ 0 0) into 0 10.453 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ (exp -1) (+ (exp -1) 1)))) into 0 10.455 * [backup-simplify]: Simplify (+ (* 16 0) (* 0 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)))) into 0 10.455 * [backup-simplify]: Simplify (- 0) into 0 10.456 * [backup-simplify]: Simplify (+ 0 0) into 0 10.458 * [backup-simplify]: Simplify (* 4 (/ (exp -1) (+ (exp -1) 1))) into (* 4 (/ (exp -1) (+ (exp -1) 1))) 10.463 * [backup-simplify]: Simplify (* 16 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3))) into (* 16 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3))) 10.469 * [backup-simplify]: Simplify (- (* 16 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)))) into (- (* 16 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)))) 10.481 * [backup-simplify]: Simplify (+ (* 4 (/ (exp -1) (+ (exp -1) 1))) (- (* 16 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3))))) into (- (* 4 (/ (exp -1) (+ (exp -1) 1))) (* 16 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)))) 10.484 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 4 (/ (exp -1) (+ (exp -1) 1))) (* 16 (/ (pow (exp -1) 3) (pow (+ (exp -1) 1) 3)))))))) into 0 10.484 * [backup-simplify]: Simplify 0 into 0 10.486 * [backup-simplify]: Simplify (log (+ (exp -1) 1)) into (log (+ (exp -1) 1)) 10.486 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 10.486 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 10.486 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 10.486 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 10.486 * [taylor]: Taking taylor expansion of -1 in n 10.486 * [backup-simplify]: Simplify -1 into -1 10.486 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 10.486 * [taylor]: Taking taylor expansion of (+ n f) in n 10.486 * [taylor]: Taking taylor expansion of n in n 10.486 * [backup-simplify]: Simplify 0 into 0 10.486 * [backup-simplify]: Simplify 1 into 1 10.486 * [taylor]: Taking taylor expansion of f in n 10.486 * [backup-simplify]: Simplify f into f 10.486 * [taylor]: Taking taylor expansion of (- f n) in n 10.486 * [taylor]: Taking taylor expansion of f in n 10.486 * [backup-simplify]: Simplify f into f 10.486 * [taylor]: Taking taylor expansion of n in n 10.487 * [backup-simplify]: Simplify 0 into 0 10.487 * [backup-simplify]: Simplify 1 into 1 10.487 * [backup-simplify]: Simplify (+ 0 f) into f 10.487 * [backup-simplify]: Simplify (- 0) into 0 10.487 * [backup-simplify]: Simplify (+ f 0) into f 10.487 * [backup-simplify]: Simplify (/ f f) into 1 10.487 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 10.487 * [taylor]: Taking taylor expansion of -1 in f 10.487 * [backup-simplify]: Simplify -1 into -1 10.487 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 10.487 * [taylor]: Taking taylor expansion of (+ n f) in f 10.487 * [taylor]: Taking taylor expansion of n in f 10.487 * [backup-simplify]: Simplify n into n 10.487 * [taylor]: Taking taylor expansion of f in f 10.487 * [backup-simplify]: Simplify 0 into 0 10.487 * [backup-simplify]: Simplify 1 into 1 10.487 * [taylor]: Taking taylor expansion of (- f n) in f 10.487 * [taylor]: Taking taylor expansion of f in f 10.487 * [backup-simplify]: Simplify 0 into 0 10.487 * [backup-simplify]: Simplify 1 into 1 10.487 * [taylor]: Taking taylor expansion of n in f 10.487 * [backup-simplify]: Simplify n into n 10.488 * [backup-simplify]: Simplify (+ n 0) into n 10.488 * [backup-simplify]: Simplify (- n) into (- n) 10.488 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 10.488 * [backup-simplify]: Simplify (/ n (- n)) into -1 10.488 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 10.488 * [taylor]: Taking taylor expansion of -1 in f 10.488 * [backup-simplify]: Simplify -1 into -1 10.488 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 10.488 * [taylor]: Taking taylor expansion of (+ n f) in f 10.488 * [taylor]: Taking taylor expansion of n in f 10.488 * [backup-simplify]: Simplify n into n 10.488 * [taylor]: Taking taylor expansion of f in f 10.488 * [backup-simplify]: Simplify 0 into 0 10.488 * [backup-simplify]: Simplify 1 into 1 10.488 * [taylor]: Taking taylor expansion of (- f n) in f 10.488 * [taylor]: Taking taylor expansion of f in f 10.488 * [backup-simplify]: Simplify 0 into 0 10.488 * [backup-simplify]: Simplify 1 into 1 10.488 * [taylor]: Taking taylor expansion of n in f 10.488 * [backup-simplify]: Simplify n into n 10.488 * [backup-simplify]: Simplify (+ n 0) into n 10.488 * [backup-simplify]: Simplify (- n) into (- n) 10.488 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 10.488 * [backup-simplify]: Simplify (/ n (- n)) into -1 10.489 * [backup-simplify]: Simplify (* -1 -1) into 1 10.489 * [taylor]: Taking taylor expansion of 1 in n 10.489 * [backup-simplify]: Simplify 1 into 1 10.489 * [backup-simplify]: Simplify 1 into 1 10.489 * [backup-simplify]: Simplify (+ 0 1) into 1 10.490 * [backup-simplify]: Simplify (- 0) into 0 10.490 * [backup-simplify]: Simplify (+ 1 0) into 1 10.490 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 10.491 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 10.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 10.491 * [taylor]: Taking taylor expansion of 2 in n 10.491 * [backup-simplify]: Simplify 2 into 2 10.491 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.491 * [taylor]: Taking taylor expansion of n in n 10.491 * [backup-simplify]: Simplify 0 into 0 10.491 * [backup-simplify]: Simplify 1 into 1 10.491 * [backup-simplify]: Simplify (/ 1 1) into 1 10.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.495 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.495 * [backup-simplify]: Simplify 0 into 0 10.496 * [backup-simplify]: Simplify 0 into 0 10.496 * [backup-simplify]: Simplify (+ 0 0) into 0 10.496 * [backup-simplify]: Simplify (- 0) into 0 10.497 * [backup-simplify]: Simplify (+ 0 0) into 0 10.497 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 10.498 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 10.498 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 10.498 * [taylor]: Taking taylor expansion of 2 in n 10.498 * [backup-simplify]: Simplify 2 into 2 10.498 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.498 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.498 * [taylor]: Taking taylor expansion of n in n 10.498 * [backup-simplify]: Simplify 0 into 0 10.498 * [backup-simplify]: Simplify 1 into 1 10.499 * [backup-simplify]: Simplify (* 1 1) into 1 10.499 * [backup-simplify]: Simplify (/ 1 1) into 1 10.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.503 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.503 * [backup-simplify]: Simplify 0 into 0 10.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.505 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.505 * [backup-simplify]: Simplify 0 into 0 10.505 * [backup-simplify]: Simplify 0 into 0 10.505 * [backup-simplify]: Simplify (+ 0 0) into 0 10.505 * [backup-simplify]: Simplify (- 0) into 0 10.506 * [backup-simplify]: Simplify (+ 0 0) into 0 10.506 * [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)))) 10.506 * [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))) 10.506 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 10.506 * [taylor]: Taking taylor expansion of 2 in n 10.506 * [backup-simplify]: Simplify 2 into 2 10.506 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 10.506 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.507 * [taylor]: Taking taylor expansion of n in n 10.507 * [backup-simplify]: Simplify 0 into 0 10.507 * [backup-simplify]: Simplify 1 into 1 10.507 * [backup-simplify]: Simplify (* 1 1) into 1 10.507 * [backup-simplify]: Simplify (* 1 1) into 1 10.507 * [backup-simplify]: Simplify (/ 1 1) into 1 10.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.513 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.513 * [backup-simplify]: Simplify 0 into 0 10.513 * [backup-simplify]: Simplify 1 into 1 10.513 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 10.513 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 10.513 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 10.513 * [taylor]: Taking taylor expansion of -1 in n 10.513 * [backup-simplify]: Simplify -1 into -1 10.513 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 10.513 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 10.513 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.513 * [taylor]: Taking taylor expansion of f in n 10.513 * [backup-simplify]: Simplify f into f 10.513 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.513 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.513 * [taylor]: Taking taylor expansion of n in n 10.513 * [backup-simplify]: Simplify 0 into 0 10.513 * [backup-simplify]: Simplify 1 into 1 10.513 * [backup-simplify]: Simplify (/ 1 1) into 1 10.513 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 10.513 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.513 * [taylor]: Taking taylor expansion of f in n 10.513 * [backup-simplify]: Simplify f into f 10.514 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.514 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.514 * [taylor]: Taking taylor expansion of n in n 10.514 * [backup-simplify]: Simplify 0 into 0 10.514 * [backup-simplify]: Simplify 1 into 1 10.514 * [backup-simplify]: Simplify (/ 1 1) into 1 10.514 * [backup-simplify]: Simplify (+ 0 1) into 1 10.514 * [backup-simplify]: Simplify (- 1) into -1 10.515 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.515 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.515 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 10.515 * [taylor]: Taking taylor expansion of -1 in f 10.515 * [backup-simplify]: Simplify -1 into -1 10.515 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 10.515 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.515 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.515 * [taylor]: Taking taylor expansion of f in f 10.515 * [backup-simplify]: Simplify 0 into 0 10.515 * [backup-simplify]: Simplify 1 into 1 10.515 * [backup-simplify]: Simplify (/ 1 1) into 1 10.515 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.515 * [taylor]: Taking taylor expansion of n in f 10.515 * [backup-simplify]: Simplify n into n 10.515 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.515 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.515 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.515 * [taylor]: Taking taylor expansion of f in f 10.515 * [backup-simplify]: Simplify 0 into 0 10.515 * [backup-simplify]: Simplify 1 into 1 10.516 * [backup-simplify]: Simplify (/ 1 1) into 1 10.516 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.516 * [taylor]: Taking taylor expansion of n in f 10.516 * [backup-simplify]: Simplify n into n 10.516 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.516 * [backup-simplify]: Simplify (+ 1 0) into 1 10.516 * [backup-simplify]: Simplify (+ 1 0) into 1 10.517 * [backup-simplify]: Simplify (/ 1 1) into 1 10.517 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 10.517 * [taylor]: Taking taylor expansion of -1 in f 10.517 * [backup-simplify]: Simplify -1 into -1 10.517 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 10.517 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.517 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.517 * [taylor]: Taking taylor expansion of f in f 10.517 * [backup-simplify]: Simplify 0 into 0 10.517 * [backup-simplify]: Simplify 1 into 1 10.517 * [backup-simplify]: Simplify (/ 1 1) into 1 10.517 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.517 * [taylor]: Taking taylor expansion of n in f 10.517 * [backup-simplify]: Simplify n into n 10.517 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.517 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.517 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.517 * [taylor]: Taking taylor expansion of f in f 10.517 * [backup-simplify]: Simplify 0 into 0 10.517 * [backup-simplify]: Simplify 1 into 1 10.517 * [backup-simplify]: Simplify (/ 1 1) into 1 10.517 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.517 * [taylor]: Taking taylor expansion of n in f 10.517 * [backup-simplify]: Simplify n into n 10.518 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.518 * [backup-simplify]: Simplify (+ 1 0) into 1 10.518 * [backup-simplify]: Simplify (+ 1 0) into 1 10.518 * [backup-simplify]: Simplify (/ 1 1) into 1 10.519 * [backup-simplify]: Simplify (* -1 1) into -1 10.519 * [taylor]: Taking taylor expansion of -1 in n 10.519 * [backup-simplify]: Simplify -1 into -1 10.519 * [backup-simplify]: Simplify -1 into -1 10.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.519 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.520 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 10.520 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 10.520 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 10.520 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 10.520 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 10.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 10.520 * [taylor]: Taking taylor expansion of 2 in n 10.520 * [backup-simplify]: Simplify 2 into 2 10.520 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.520 * [taylor]: Taking taylor expansion of n in n 10.520 * [backup-simplify]: Simplify 0 into 0 10.520 * [backup-simplify]: Simplify 1 into 1 10.521 * [backup-simplify]: Simplify (/ 1 1) into 1 10.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.521 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.522 * [backup-simplify]: Simplify (- 0) into 0 10.522 * [backup-simplify]: Simplify 0 into 0 10.522 * [backup-simplify]: Simplify 0 into 0 10.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.523 * [backup-simplify]: Simplify (+ 0 0) into 0 10.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.524 * [backup-simplify]: Simplify (- 0) into 0 10.524 * [backup-simplify]: Simplify (+ 0 0) into 0 10.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 10.525 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 10.525 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 10.525 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 10.525 * [taylor]: Taking taylor expansion of 2 in n 10.525 * [backup-simplify]: Simplify 2 into 2 10.525 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.525 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.525 * [taylor]: Taking taylor expansion of n in n 10.525 * [backup-simplify]: Simplify 0 into 0 10.525 * [backup-simplify]: Simplify 1 into 1 10.525 * [backup-simplify]: Simplify (* 1 1) into 1 10.526 * [backup-simplify]: Simplify (/ 1 1) into 1 10.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.529 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.529 * [backup-simplify]: Simplify (- 0) into 0 10.529 * [backup-simplify]: Simplify 0 into 0 10.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.530 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.530 * [backup-simplify]: Simplify (- 0) into 0 10.530 * [backup-simplify]: Simplify 0 into 0 10.531 * [backup-simplify]: Simplify 0 into 0 10.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.532 * [backup-simplify]: Simplify (+ 0 0) into 0 10.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.532 * [backup-simplify]: Simplify (- 0) into 0 10.533 * [backup-simplify]: Simplify (+ 0 0) into 0 10.534 * [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))) 10.534 * [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)))) 10.534 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 10.534 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 10.534 * [taylor]: Taking taylor expansion of 2 in n 10.534 * [backup-simplify]: Simplify 2 into 2 10.534 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 10.534 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.534 * [taylor]: Taking taylor expansion of n in n 10.534 * [backup-simplify]: Simplify 0 into 0 10.534 * [backup-simplify]: Simplify 1 into 1 10.535 * [backup-simplify]: Simplify (* 1 1) into 1 10.535 * [backup-simplify]: Simplify (* 1 1) into 1 10.535 * [backup-simplify]: Simplify (/ 1 1) into 1 10.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.543 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.544 * [backup-simplify]: Simplify (- 0) into 0 10.544 * [backup-simplify]: Simplify 0 into 0 10.544 * [backup-simplify]: Simplify -1 into -1 10.544 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 10.544 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 10.544 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 10.544 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 10.544 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.544 * [taylor]: Taking taylor expansion of f in n 10.544 * [backup-simplify]: Simplify f into f 10.544 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.544 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.544 * [taylor]: Taking taylor expansion of n in n 10.544 * [backup-simplify]: Simplify 0 into 0 10.544 * [backup-simplify]: Simplify 1 into 1 10.545 * [backup-simplify]: Simplify (/ 1 1) into 1 10.545 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 10.545 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.545 * [taylor]: Taking taylor expansion of n in n 10.545 * [backup-simplify]: Simplify 0 into 0 10.545 * [backup-simplify]: Simplify 1 into 1 10.545 * [backup-simplify]: Simplify (/ 1 1) into 1 10.545 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.545 * [taylor]: Taking taylor expansion of f in n 10.546 * [backup-simplify]: Simplify f into f 10.546 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.546 * [backup-simplify]: Simplify (+ 0 1) into 1 10.546 * [backup-simplify]: Simplify (+ 1 0) into 1 10.547 * [backup-simplify]: Simplify (/ 1 1) into 1 10.547 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 10.547 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.547 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.547 * [taylor]: Taking taylor expansion of f in f 10.547 * [backup-simplify]: Simplify 0 into 0 10.547 * [backup-simplify]: Simplify 1 into 1 10.547 * [backup-simplify]: Simplify (/ 1 1) into 1 10.547 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.547 * [taylor]: Taking taylor expansion of n in f 10.547 * [backup-simplify]: Simplify n into n 10.547 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.547 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.547 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.548 * [taylor]: Taking taylor expansion of n in f 10.548 * [backup-simplify]: Simplify n into n 10.548 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.548 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.548 * [taylor]: Taking taylor expansion of f in f 10.548 * [backup-simplify]: Simplify 0 into 0 10.548 * [backup-simplify]: Simplify 1 into 1 10.548 * [backup-simplify]: Simplify (/ 1 1) into 1 10.549 * [backup-simplify]: Simplify (+ 1 0) into 1 10.549 * [backup-simplify]: Simplify (- 1) into -1 10.549 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.550 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.550 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 10.550 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.550 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.550 * [taylor]: Taking taylor expansion of f in f 10.550 * [backup-simplify]: Simplify 0 into 0 10.550 * [backup-simplify]: Simplify 1 into 1 10.550 * [backup-simplify]: Simplify (/ 1 1) into 1 10.550 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.550 * [taylor]: Taking taylor expansion of n in f 10.550 * [backup-simplify]: Simplify n into n 10.550 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.550 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.550 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.551 * [taylor]: Taking taylor expansion of n in f 10.551 * [backup-simplify]: Simplify n into n 10.551 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.551 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.551 * [taylor]: Taking taylor expansion of f in f 10.551 * [backup-simplify]: Simplify 0 into 0 10.551 * [backup-simplify]: Simplify 1 into 1 10.551 * [backup-simplify]: Simplify (/ 1 1) into 1 10.551 * [backup-simplify]: Simplify (+ 1 0) into 1 10.552 * [backup-simplify]: Simplify (- 1) into -1 10.552 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.553 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.553 * [taylor]: Taking taylor expansion of -1 in n 10.553 * [backup-simplify]: Simplify -1 into -1 10.553 * [backup-simplify]: Simplify -1 into -1 10.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.554 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.555 * [backup-simplify]: Simplify (- 0) into 0 10.555 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 10.556 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 10.556 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 10.556 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 10.556 * [taylor]: Taking taylor expansion of 2 in n 10.556 * [backup-simplify]: Simplify 2 into 2 10.556 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.556 * [taylor]: Taking taylor expansion of n in n 10.556 * [backup-simplify]: Simplify 0 into 0 10.556 * [backup-simplify]: Simplify 1 into 1 10.556 * [backup-simplify]: Simplify (/ 1 1) into 1 10.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.558 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.558 * [backup-simplify]: Simplify (- 0) into 0 10.558 * [backup-simplify]: Simplify 0 into 0 10.558 * [backup-simplify]: Simplify 0 into 0 10.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.559 * [backup-simplify]: Simplify (+ 0 0) into 0 10.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.561 * [backup-simplify]: Simplify (- 0) into 0 10.561 * [backup-simplify]: Simplify (+ 0 0) into 0 10.562 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 10.562 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 10.562 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 10.563 * [taylor]: Taking taylor expansion of 2 in n 10.563 * [backup-simplify]: Simplify 2 into 2 10.563 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.563 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.563 * [taylor]: Taking taylor expansion of n in n 10.563 * [backup-simplify]: Simplify 0 into 0 10.563 * [backup-simplify]: Simplify 1 into 1 10.563 * [backup-simplify]: Simplify (* 1 1) into 1 10.563 * [backup-simplify]: Simplify (/ 1 1) into 1 10.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.566 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.566 * [backup-simplify]: Simplify (- 0) into 0 10.567 * [backup-simplify]: Simplify 0 into 0 10.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.568 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.568 * [backup-simplify]: Simplify (- 0) into 0 10.568 * [backup-simplify]: Simplify 0 into 0 10.568 * [backup-simplify]: Simplify 0 into 0 10.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.569 * [backup-simplify]: Simplify (+ 0 0) into 0 10.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.570 * [backup-simplify]: Simplify (- 0) into 0 10.570 * [backup-simplify]: Simplify (+ 0 0) into 0 10.571 * [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)))) 10.571 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 10.571 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 10.571 * [taylor]: Taking taylor expansion of 2 in n 10.571 * [backup-simplify]: Simplify 2 into 2 10.571 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 10.571 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.571 * [taylor]: Taking taylor expansion of n in n 10.571 * [backup-simplify]: Simplify 0 into 0 10.571 * [backup-simplify]: Simplify 1 into 1 10.571 * [backup-simplify]: Simplify (* 1 1) into 1 10.572 * [backup-simplify]: Simplify (* 1 1) into 1 10.572 * [backup-simplify]: Simplify (/ 1 1) into 1 10.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.577 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.577 * [backup-simplify]: Simplify (- 0) into 0 10.577 * [backup-simplify]: Simplify 0 into 0 10.577 * [backup-simplify]: Simplify -1 into -1 10.577 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 10.578 * [backup-simplify]: Simplify (exp (/ (- (+ f n)) (- f n))) into (exp (* -1 (/ (+ n f) (- f n)))) 10.578 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 10.578 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 10.578 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 10.578 * [taylor]: Taking taylor expansion of -1 in n 10.578 * [backup-simplify]: Simplify -1 into -1 10.578 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 10.578 * [taylor]: Taking taylor expansion of (+ n f) in n 10.578 * [taylor]: Taking taylor expansion of n in n 10.578 * [backup-simplify]: Simplify 0 into 0 10.578 * [backup-simplify]: Simplify 1 into 1 10.578 * [taylor]: Taking taylor expansion of f in n 10.578 * [backup-simplify]: Simplify f into f 10.578 * [taylor]: Taking taylor expansion of (- f n) in n 10.578 * [taylor]: Taking taylor expansion of f in n 10.578 * [backup-simplify]: Simplify f into f 10.578 * [taylor]: Taking taylor expansion of n in n 10.578 * [backup-simplify]: Simplify 0 into 0 10.578 * [backup-simplify]: Simplify 1 into 1 10.578 * [backup-simplify]: Simplify (+ 0 f) into f 10.578 * [backup-simplify]: Simplify (- 0) into 0 10.578 * [backup-simplify]: Simplify (+ f 0) into f 10.578 * [backup-simplify]: Simplify (/ f f) into 1 10.578 * [backup-simplify]: Simplify (* -1 1) into -1 10.579 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.579 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 10.579 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 10.579 * [taylor]: Taking taylor expansion of -1 in f 10.579 * [backup-simplify]: Simplify -1 into -1 10.579 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 10.579 * [taylor]: Taking taylor expansion of (+ n f) in f 10.579 * [taylor]: Taking taylor expansion of n in f 10.579 * [backup-simplify]: Simplify n into n 10.579 * [taylor]: Taking taylor expansion of f in f 10.579 * [backup-simplify]: Simplify 0 into 0 10.579 * [backup-simplify]: Simplify 1 into 1 10.579 * [taylor]: Taking taylor expansion of (- f n) in f 10.579 * [taylor]: Taking taylor expansion of f in f 10.579 * [backup-simplify]: Simplify 0 into 0 10.579 * [backup-simplify]: Simplify 1 into 1 10.579 * [taylor]: Taking taylor expansion of n in f 10.579 * [backup-simplify]: Simplify n into n 10.579 * [backup-simplify]: Simplify (+ n 0) into n 10.579 * [backup-simplify]: Simplify (- n) into (- n) 10.579 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 10.579 * [backup-simplify]: Simplify (/ n (- n)) into -1 10.579 * [backup-simplify]: Simplify (* -1 -1) into 1 10.579 * [backup-simplify]: Simplify (exp 1) into E 10.579 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 10.579 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 10.579 * [taylor]: Taking taylor expansion of -1 in f 10.579 * [backup-simplify]: Simplify -1 into -1 10.580 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 10.580 * [taylor]: Taking taylor expansion of (+ n f) in f 10.580 * [taylor]: Taking taylor expansion of n in f 10.580 * [backup-simplify]: Simplify n into n 10.580 * [taylor]: Taking taylor expansion of f in f 10.580 * [backup-simplify]: Simplify 0 into 0 10.580 * [backup-simplify]: Simplify 1 into 1 10.580 * [taylor]: Taking taylor expansion of (- f n) in f 10.580 * [taylor]: Taking taylor expansion of f in f 10.580 * [backup-simplify]: Simplify 0 into 0 10.580 * [backup-simplify]: Simplify 1 into 1 10.580 * [taylor]: Taking taylor expansion of n in f 10.580 * [backup-simplify]: Simplify n into n 10.580 * [backup-simplify]: Simplify (+ n 0) into n 10.580 * [backup-simplify]: Simplify (- n) into (- n) 10.580 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 10.580 * [backup-simplify]: Simplify (/ n (- n)) into -1 10.580 * [backup-simplify]: Simplify (* -1 -1) into 1 10.580 * [backup-simplify]: Simplify (exp 1) into E 10.580 * [taylor]: Taking taylor expansion of E in n 10.580 * [backup-simplify]: Simplify E into E 10.580 * [backup-simplify]: Simplify E into E 10.581 * [backup-simplify]: Simplify (+ 0 1) into 1 10.581 * [backup-simplify]: Simplify (- 0) into 0 10.581 * [backup-simplify]: Simplify (+ 1 0) into 1 10.581 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 10.582 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 10.582 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 10.582 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 10.582 * [taylor]: Taking taylor expansion of 2 in n 10.582 * [backup-simplify]: Simplify 2 into 2 10.582 * [taylor]: Taking taylor expansion of (/ E n) in n 10.582 * [taylor]: Taking taylor expansion of E in n 10.582 * [backup-simplify]: Simplify E into E 10.582 * [taylor]: Taking taylor expansion of n in n 10.582 * [backup-simplify]: Simplify 0 into 0 10.582 * [backup-simplify]: Simplify 1 into 1 10.582 * [backup-simplify]: Simplify (/ E 1) into E 10.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 10.583 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 10.583 * [backup-simplify]: Simplify 0 into 0 10.583 * [backup-simplify]: Simplify 0 into 0 10.584 * [backup-simplify]: Simplify (+ 0 0) into 0 10.584 * [backup-simplify]: Simplify (- 0) into 0 10.584 * [backup-simplify]: Simplify (+ 0 0) into 0 10.584 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 10.585 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 10.585 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 10.585 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 10.585 * [taylor]: Taking taylor expansion of 4 in n 10.585 * [backup-simplify]: Simplify 4 into 4 10.585 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 10.585 * [taylor]: Taking taylor expansion of E in n 10.585 * [backup-simplify]: Simplify E into E 10.585 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.585 * [taylor]: Taking taylor expansion of n in n 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify 1 into 1 10.585 * [backup-simplify]: Simplify (* 1 1) into 1 10.586 * [backup-simplify]: Simplify (/ E 1) into E 10.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 10.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.589 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 10.589 * [backup-simplify]: Simplify 0 into 0 10.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.590 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 10.590 * [backup-simplify]: Simplify 0 into 0 10.590 * [backup-simplify]: Simplify 0 into 0 10.590 * [backup-simplify]: Simplify (+ 0 0) into 0 10.590 * [backup-simplify]: Simplify (- 0) into 0 10.591 * [backup-simplify]: Simplify (+ 0 0) into 0 10.591 * [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)))) 10.591 * [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))) 10.592 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 10.592 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 10.592 * [taylor]: Taking taylor expansion of 22/3 in n 10.592 * [backup-simplify]: Simplify 22/3 into 22/3 10.592 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 10.592 * [taylor]: Taking taylor expansion of E in n 10.592 * [backup-simplify]: Simplify E into E 10.592 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.592 * [taylor]: Taking taylor expansion of n in n 10.592 * [backup-simplify]: Simplify 0 into 0 10.592 * [backup-simplify]: Simplify 1 into 1 10.592 * [backup-simplify]: Simplify (* 1 1) into 1 10.593 * [backup-simplify]: Simplify (* 1 1) into 1 10.593 * [backup-simplify]: Simplify (/ E 1) into E 10.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 10.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.600 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 10.600 * [backup-simplify]: Simplify 0 into 0 10.600 * [backup-simplify]: Simplify E into E 10.601 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 10.601 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 10.601 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 10.601 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 10.601 * [taylor]: Taking taylor expansion of -1 in n 10.601 * [backup-simplify]: Simplify -1 into -1 10.601 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 10.601 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 10.601 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.601 * [taylor]: Taking taylor expansion of f in n 10.601 * [backup-simplify]: Simplify f into f 10.601 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.601 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.601 * [taylor]: Taking taylor expansion of n in n 10.601 * [backup-simplify]: Simplify 0 into 0 10.601 * [backup-simplify]: Simplify 1 into 1 10.602 * [backup-simplify]: Simplify (/ 1 1) into 1 10.602 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 10.602 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.602 * [taylor]: Taking taylor expansion of f in n 10.602 * [backup-simplify]: Simplify f into f 10.602 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.602 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.602 * [taylor]: Taking taylor expansion of n in n 10.602 * [backup-simplify]: Simplify 0 into 0 10.602 * [backup-simplify]: Simplify 1 into 1 10.602 * [backup-simplify]: Simplify (/ 1 1) into 1 10.603 * [backup-simplify]: Simplify (+ 0 1) into 1 10.603 * [backup-simplify]: Simplify (- 1) into -1 10.604 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.604 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.605 * [backup-simplify]: Simplify (* -1 -1) into 1 10.605 * [backup-simplify]: Simplify (exp 1) into E 10.605 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 10.605 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 10.605 * [taylor]: Taking taylor expansion of -1 in f 10.605 * [backup-simplify]: Simplify -1 into -1 10.605 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 10.605 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.605 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.605 * [taylor]: Taking taylor expansion of f in f 10.605 * [backup-simplify]: Simplify 0 into 0 10.605 * [backup-simplify]: Simplify 1 into 1 10.606 * [backup-simplify]: Simplify (/ 1 1) into 1 10.606 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.606 * [taylor]: Taking taylor expansion of n in f 10.606 * [backup-simplify]: Simplify n into n 10.606 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.606 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.606 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.606 * [taylor]: Taking taylor expansion of f in f 10.606 * [backup-simplify]: Simplify 0 into 0 10.606 * [backup-simplify]: Simplify 1 into 1 10.607 * [backup-simplify]: Simplify (/ 1 1) into 1 10.607 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.607 * [taylor]: Taking taylor expansion of n in f 10.607 * [backup-simplify]: Simplify n into n 10.607 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.607 * [backup-simplify]: Simplify (+ 1 0) into 1 10.608 * [backup-simplify]: Simplify (+ 1 0) into 1 10.608 * [backup-simplify]: Simplify (/ 1 1) into 1 10.608 * [backup-simplify]: Simplify (* -1 1) into -1 10.609 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.609 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 10.609 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 10.609 * [taylor]: Taking taylor expansion of -1 in f 10.609 * [backup-simplify]: Simplify -1 into -1 10.609 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 10.609 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.609 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.609 * [taylor]: Taking taylor expansion of f in f 10.609 * [backup-simplify]: Simplify 0 into 0 10.609 * [backup-simplify]: Simplify 1 into 1 10.610 * [backup-simplify]: Simplify (/ 1 1) into 1 10.610 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.610 * [taylor]: Taking taylor expansion of n in f 10.610 * [backup-simplify]: Simplify n into n 10.610 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.610 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.610 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.610 * [taylor]: Taking taylor expansion of f in f 10.610 * [backup-simplify]: Simplify 0 into 0 10.610 * [backup-simplify]: Simplify 1 into 1 10.610 * [backup-simplify]: Simplify (/ 1 1) into 1 10.610 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.610 * [taylor]: Taking taylor expansion of n in f 10.610 * [backup-simplify]: Simplify n into n 10.610 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.611 * [backup-simplify]: Simplify (+ 1 0) into 1 10.611 * [backup-simplify]: Simplify (+ 1 0) into 1 10.611 * [backup-simplify]: Simplify (/ 1 1) into 1 10.612 * [backup-simplify]: Simplify (* -1 1) into -1 10.612 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.612 * [taylor]: Taking taylor expansion of (exp -1) in n 10.612 * [taylor]: Taking taylor expansion of -1 in n 10.612 * [backup-simplify]: Simplify -1 into -1 10.613 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.613 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.614 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.615 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 10.615 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 10.615 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 10.615 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 10.616 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 10.616 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 10.616 * [taylor]: Taking taylor expansion of -2 in n 10.616 * [backup-simplify]: Simplify -2 into -2 10.616 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 10.616 * [taylor]: Taking taylor expansion of (exp -1) in n 10.616 * [taylor]: Taking taylor expansion of -1 in n 10.616 * [backup-simplify]: Simplify -1 into -1 10.617 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.617 * [taylor]: Taking taylor expansion of n in n 10.617 * [backup-simplify]: Simplify 0 into 0 10.617 * [backup-simplify]: Simplify 1 into 1 10.618 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 10.619 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 10.620 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 10.620 * [backup-simplify]: Simplify 0 into 0 10.622 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.622 * [backup-simplify]: Simplify 0 into 0 10.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.623 * [backup-simplify]: Simplify (+ 0 0) into 0 10.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.625 * [backup-simplify]: Simplify (- 0) into 0 10.625 * [backup-simplify]: Simplify (+ 0 0) into 0 10.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 10.627 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 10.628 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 10.628 * [taylor]: Taking taylor expansion of 0 in n 10.628 * [backup-simplify]: Simplify 0 into 0 10.628 * [backup-simplify]: Simplify 0 into 0 10.629 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.630 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 10.630 * [backup-simplify]: Simplify 0 into 0 10.631 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.631 * [backup-simplify]: Simplify 0 into 0 10.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.632 * [backup-simplify]: Simplify (+ 0 0) into 0 10.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.633 * [backup-simplify]: Simplify (- 0) into 0 10.633 * [backup-simplify]: Simplify (+ 0 0) into 0 10.635 * [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))) 10.635 * [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)))) 10.636 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 10.636 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 10.636 * [taylor]: Taking taylor expansion of 2/3 in n 10.636 * [backup-simplify]: Simplify 2/3 into 2/3 10.636 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 10.636 * [taylor]: Taking taylor expansion of (exp -1) in n 10.636 * [taylor]: Taking taylor expansion of -1 in n 10.636 * [backup-simplify]: Simplify -1 into -1 10.636 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.636 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.636 * [taylor]: Taking taylor expansion of n in n 10.636 * [backup-simplify]: Simplify 0 into 0 10.637 * [backup-simplify]: Simplify 1 into 1 10.637 * [backup-simplify]: Simplify (* 1 1) into 1 10.637 * [backup-simplify]: Simplify (* 1 1) into 1 10.638 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 10.639 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.642 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 10.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.644 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.654 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 10.655 * [backup-simplify]: Simplify 0 into 0 10.655 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.655 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 10.655 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 10.655 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 10.655 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 10.655 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 10.655 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.656 * [taylor]: Taking taylor expansion of f in n 10.656 * [backup-simplify]: Simplify f into f 10.656 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.656 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.656 * [taylor]: Taking taylor expansion of n in n 10.656 * [backup-simplify]: Simplify 0 into 0 10.656 * [backup-simplify]: Simplify 1 into 1 10.656 * [backup-simplify]: Simplify (/ 1 1) into 1 10.656 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 10.656 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.656 * [taylor]: Taking taylor expansion of n in n 10.656 * [backup-simplify]: Simplify 0 into 0 10.656 * [backup-simplify]: Simplify 1 into 1 10.657 * [backup-simplify]: Simplify (/ 1 1) into 1 10.657 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.657 * [taylor]: Taking taylor expansion of f in n 10.657 * [backup-simplify]: Simplify f into f 10.657 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.657 * [backup-simplify]: Simplify (+ 0 1) into 1 10.658 * [backup-simplify]: Simplify (+ 1 0) into 1 10.658 * [backup-simplify]: Simplify (/ 1 1) into 1 10.658 * [backup-simplify]: Simplify (exp 1) into E 10.658 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 10.658 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 10.658 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.658 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.658 * [taylor]: Taking taylor expansion of f in f 10.658 * [backup-simplify]: Simplify 0 into 0 10.658 * [backup-simplify]: Simplify 1 into 1 10.659 * [backup-simplify]: Simplify (/ 1 1) into 1 10.659 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.659 * [taylor]: Taking taylor expansion of n in f 10.659 * [backup-simplify]: Simplify n into n 10.659 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.659 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.659 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.659 * [taylor]: Taking taylor expansion of n in f 10.659 * [backup-simplify]: Simplify n into n 10.659 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.659 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.659 * [taylor]: Taking taylor expansion of f in f 10.659 * [backup-simplify]: Simplify 0 into 0 10.659 * [backup-simplify]: Simplify 1 into 1 10.659 * [backup-simplify]: Simplify (/ 1 1) into 1 10.660 * [backup-simplify]: Simplify (+ 1 0) into 1 10.660 * [backup-simplify]: Simplify (- 1) into -1 10.661 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.661 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.662 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.662 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 10.662 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 10.662 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.662 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.662 * [taylor]: Taking taylor expansion of f in f 10.662 * [backup-simplify]: Simplify 0 into 0 10.662 * [backup-simplify]: Simplify 1 into 1 10.662 * [backup-simplify]: Simplify (/ 1 1) into 1 10.662 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.662 * [taylor]: Taking taylor expansion of n in f 10.662 * [backup-simplify]: Simplify n into n 10.662 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.662 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.662 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.662 * [taylor]: Taking taylor expansion of n in f 10.662 * [backup-simplify]: Simplify n into n 10.662 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.662 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.662 * [taylor]: Taking taylor expansion of f in f 10.663 * [backup-simplify]: Simplify 0 into 0 10.663 * [backup-simplify]: Simplify 1 into 1 10.663 * [backup-simplify]: Simplify (/ 1 1) into 1 10.663 * [backup-simplify]: Simplify (+ 1 0) into 1 10.664 * [backup-simplify]: Simplify (- 1) into -1 10.664 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.665 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.665 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.665 * [taylor]: Taking taylor expansion of (exp -1) in n 10.665 * [taylor]: Taking taylor expansion of -1 in n 10.665 * [backup-simplify]: Simplify -1 into -1 10.666 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.666 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.667 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.668 * [backup-simplify]: Simplify (- 0) into 0 10.668 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 10.669 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 10.669 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 10.669 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 10.669 * [taylor]: Taking taylor expansion of -2 in n 10.669 * [backup-simplify]: Simplify -2 into -2 10.669 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 10.669 * [taylor]: Taking taylor expansion of (exp -1) in n 10.669 * [taylor]: Taking taylor expansion of -1 in n 10.670 * [backup-simplify]: Simplify -1 into -1 10.670 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.670 * [taylor]: Taking taylor expansion of n in n 10.670 * [backup-simplify]: Simplify 0 into 0 10.670 * [backup-simplify]: Simplify 1 into 1 10.671 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 10.672 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 10.674 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 10.675 * [backup-simplify]: Simplify 0 into 0 10.676 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.676 * [backup-simplify]: Simplify 0 into 0 10.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.677 * [backup-simplify]: Simplify (+ 0 0) into 0 10.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.679 * [backup-simplify]: Simplify (- 0) into 0 10.679 * [backup-simplify]: Simplify (+ 0 0) into 0 10.680 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 10.681 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 10.681 * [taylor]: Taking taylor expansion of 0 in n 10.681 * [backup-simplify]: Simplify 0 into 0 10.681 * [backup-simplify]: Simplify 0 into 0 10.683 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.685 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 10.686 * [backup-simplify]: Simplify 0 into 0 10.687 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.687 * [backup-simplify]: Simplify 0 into 0 10.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.689 * [backup-simplify]: Simplify (+ 0 0) into 0 10.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.691 * [backup-simplify]: Simplify (- 0) into 0 10.691 * [backup-simplify]: Simplify (+ 0 0) into 0 10.693 * [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)))) 10.694 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 10.694 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 10.694 * [taylor]: Taking taylor expansion of 2/3 in n 10.694 * [backup-simplify]: Simplify 2/3 into 2/3 10.694 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 10.694 * [taylor]: Taking taylor expansion of (exp -1) in n 10.694 * [taylor]: Taking taylor expansion of -1 in n 10.695 * [backup-simplify]: Simplify -1 into -1 10.695 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.695 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.695 * [taylor]: Taking taylor expansion of n in n 10.695 * [backup-simplify]: Simplify 0 into 0 10.695 * [backup-simplify]: Simplify 1 into 1 10.695 * [backup-simplify]: Simplify (* 1 1) into 1 10.696 * [backup-simplify]: Simplify (* 1 1) into 1 10.697 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 10.699 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.704 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 10.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 10.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.709 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.712 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 10.712 * [backup-simplify]: Simplify 0 into 0 10.713 * [backup-simplify]: Simplify (exp -1) into (exp -1) 10.713 * * * [progress]: simplifying candidates 10.713 * * * * [progress]: [ 1 / 213 ] simplifiying candidate # 10.713 * * * * [progress]: [ 2 / 213 ] simplifiying candidate # 10.713 * * * * [progress]: [ 3 / 213 ] simplifiying candidate # 10.713 * * * * [progress]: [ 4 / 213 ] simplifiying candidate # 10.713 * * * * [progress]: [ 5 / 213 ] simplifiying candidate # 10.713 * * * * [progress]: [ 6 / 213 ] simplifiying candidate # 10.713 * * * * [progress]: [ 7 / 213 ] simplifiying candidate # 10.713 * * * * [progress]: [ 8 / 213 ] simplifiying candidate # 10.713 * * * * [progress]: [ 9 / 213 ] simplifiying candidate # 10.713 * * * * [progress]: [ 10 / 213 ] simplifiying candidate # 10.714 * * * * [progress]: [ 11 / 213 ] simplifiying candidate # 10.714 * * * * [progress]: [ 12 / 213 ] simplifiying candidate #real (real->posit16 (expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))))))> 10.714 * * * * [progress]: [ 13 / 213 ] simplifiying candidate # 10.714 * * * * [progress]: [ 14 / 213 ] simplifiying candidate # 10.714 * * * * [progress]: [ 15 / 213 ] simplifiying candidate # 10.714 * * * * [progress]: [ 16 / 213 ] simplifiying candidate # 10.714 * * * * [progress]: [ 17 / 213 ] simplifiying candidate # 10.714 * * * * [progress]: [ 18 / 213 ] simplifiying candidate # 10.714 * * * * [progress]: [ 19 / 213 ] simplifiying candidate # 10.714 * * * * [progress]: [ 20 / 213 ] simplifiying candidate # 10.714 * * * * [progress]: [ 21 / 213 ] simplifiying candidate # 10.714 * * * * [progress]: [ 22 / 213 ] simplifiying candidate # 10.714 * * * * [progress]: [ 23 / 213 ] simplifiying candidate # 10.715 * * * * [progress]: [ 24 / 213 ] simplifiying candidate #real (real->posit16 (log1p (exp (/ (- (+ f n)) (- f n)))))))))> 10.715 * * * * [progress]: [ 25 / 213 ] simplifiying candidate # 10.715 * * * * [progress]: [ 26 / 213 ] simplifiying candidate # 10.715 * * * * [progress]: [ 27 / 213 ] simplifiying candidate # 10.715 * * * * [progress]: [ 28 / 213 ] simplifiying candidate # 10.715 * * * * [progress]: [ 29 / 213 ] simplifiying candidate # 10.715 * * * * [progress]: [ 30 / 213 ] simplifiying candidate # 10.715 * * * * [progress]: [ 31 / 213 ] simplifiying candidate # 10.715 * * * * [progress]: [ 32 / 213 ] simplifiying candidate # 10.715 * * * * [progress]: [ 33 / 213 ] simplifiying candidate # 10.715 * * * * [progress]: [ 34 / 213 ] simplifiying candidate # 10.715 * * * * [progress]: [ 35 / 213 ] simplifiying candidate # 10.715 * * * * [progress]: [ 36 / 213 ] simplifiying candidate # 10.715 * * * * [progress]: [ 37 / 213 ] simplifiying candidate # 10.716 * * * * [progress]: [ 38 / 213 ] simplifiying candidate # 10.716 * * * * [progress]: [ 39 / 213 ] simplifiying candidate # 10.716 * * * * [progress]: [ 40 / 213 ] simplifiying candidate # 10.716 * * * * [progress]: [ 41 / 213 ] simplifiying candidate # 10.716 * * * * [progress]: [ 42 / 213 ] simplifiying candidate # 10.716 * * * * [progress]: [ 43 / 213 ] simplifiying candidate # 10.716 * * * * [progress]: [ 44 / 213 ] simplifiying candidate # 10.716 * * * * [progress]: [ 45 / 213 ] simplifiying candidate # 10.716 * * * * [progress]: [ 46 / 213 ] simplifiying candidate # 10.716 * * * * [progress]: [ 47 / 213 ] simplifiying candidate # 10.716 * * * * [progress]: [ 48 / 213 ] simplifiying candidate # 10.716 * * * * [progress]: [ 49 / 213 ] simplifiying candidate # 10.716 * * * * [progress]: [ 50 / 213 ] simplifiying candidate # 10.716 * * * * [progress]: [ 51 / 213 ] simplifiying candidate # 10.717 * * * * [progress]: [ 52 / 213 ] simplifiying candidate # 10.717 * * * * [progress]: [ 53 / 213 ] simplifiying candidate # 10.717 * * * * [progress]: [ 54 / 213 ] simplifiying candidate # 10.717 * * * * [progress]: [ 55 / 213 ] simplifiying candidate # 10.717 * * * * [progress]: [ 56 / 213 ] simplifiying candidate # 10.717 * * * * [progress]: [ 57 / 213 ] simplifiying candidate # 10.717 * * * * [progress]: [ 58 / 213 ] simplifiying candidate # 10.717 * * * * [progress]: [ 59 / 213 ] simplifiying candidate # 10.717 * * * * [progress]: [ 60 / 213 ] simplifiying candidate # 10.717 * * * * [progress]: [ 61 / 213 ] simplifiying candidate # 10.717 * * * * [progress]: [ 62 / 213 ] simplifiying candidate # 10.717 * * * * [progress]: [ 63 / 213 ] simplifiying candidate # 10.717 * * * * [progress]: [ 64 / 213 ] simplifiying candidate # 10.717 * * * * [progress]: [ 65 / 213 ] simplifiying candidate # 10.717 * * * * [progress]: [ 66 / 213 ] simplifiying candidate # 10.718 * * * * [progress]: [ 67 / 213 ] simplifiying candidate # 10.718 * * * * [progress]: [ 68 / 213 ] simplifiying candidate # 10.718 * * * * [progress]: [ 69 / 213 ] simplifiying candidate # 10.718 * * * * [progress]: [ 70 / 213 ] simplifiying candidate # 10.718 * * * * [progress]: [ 71 / 213 ] simplifiying candidate # 10.718 * * * * [progress]: [ 72 / 213 ] simplifiying candidate # 10.718 * * * * [progress]: [ 73 / 213 ] simplifiying candidate # 10.718 * * * * [progress]: [ 74 / 213 ] simplifiying candidate # 10.718 * * * * [progress]: [ 75 / 213 ] simplifiying candidate # 10.718 * * * * [progress]: [ 76 / 213 ] simplifiying candidate # 10.718 * * * * [progress]: [ 77 / 213 ] simplifiying candidate # 10.718 * * * * [progress]: [ 78 / 213 ] simplifiying candidate # 10.718 * * * * [progress]: [ 79 / 213 ] simplifiying candidate # 10.718 * * * * [progress]: [ 80 / 213 ] simplifiying candidate # 10.719 * * * * [progress]: [ 81 / 213 ] simplifiying candidate # 10.719 * * * * [progress]: [ 82 / 213 ] simplifiying candidate # 10.719 * * * * [progress]: [ 83 / 213 ] simplifiying candidate # 10.719 * * * * [progress]: [ 84 / 213 ] simplifiying candidate # 10.719 * * * * [progress]: [ 85 / 213 ] simplifiying candidate # 10.719 * * * * [progress]: [ 86 / 213 ] simplifiying candidate # 10.719 * * * * [progress]: [ 87 / 213 ] simplifiying candidate # 10.719 * * * * [progress]: [ 88 / 213 ] simplifiying candidate # 10.719 * * * * [progress]: [ 89 / 213 ] simplifiying candidate # 10.719 * * * * [progress]: [ 90 / 213 ] simplifiying candidate # 10.719 * * * * [progress]: [ 91 / 213 ] simplifiying candidate # 10.719 * * * * [progress]: [ 92 / 213 ] simplifiying candidate # 10.719 * * * * [progress]: [ 93 / 213 ] simplifiying candidate # 10.719 * * * * [progress]: [ 94 / 213 ] simplifiying candidate # 10.719 * * * * [progress]: [ 95 / 213 ] simplifiying candidate # 10.719 * * * * [progress]: [ 96 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 97 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 98 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 99 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 100 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 101 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 102 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 103 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 104 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 105 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 106 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 107 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 108 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 109 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 110 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 111 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 112 / 213 ] simplifiying candidate # 10.720 * * * * [progress]: [ 113 / 213 ] simplifiying candidate # 10.721 * * * * [progress]: [ 114 / 213 ] simplifiying candidate # 10.721 * * * * [progress]: [ 115 / 213 ] simplifiying candidate # 10.721 * * * * [progress]: [ 116 / 213 ] simplifiying candidate # 10.721 * * * * [progress]: [ 117 / 213 ] simplifiying candidate # 10.721 * * * * [progress]: [ 118 / 213 ] simplifiying candidate # 10.721 * * * * [progress]: [ 119 / 213 ] simplifiying candidate # 10.721 * * * * [progress]: [ 120 / 213 ] simplifiying candidate # 10.721 * * * * [progress]: [ 121 / 213 ] simplifiying candidate # 10.721 * * * * [progress]: [ 122 / 213 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))))))> 10.721 * * * * [progress]: [ 123 / 213 ] simplifiying candidate # 10.721 * * * * [progress]: [ 124 / 213 ] simplifiying candidate # 10.721 * * * * [progress]: [ 125 / 213 ] simplifiying candidate # 10.721 * * * * [progress]: [ 126 / 213 ] simplifiying candidate # 10.721 * * * * [progress]: [ 127 / 213 ] simplifiying candidate # 10.721 * * * * [progress]: [ 128 / 213 ] simplifiying candidate # 10.722 * * * * [progress]: [ 129 / 213 ] simplifiying candidate # 10.722 * * * * [progress]: [ 130 / 213 ] simplifiying candidate # 10.722 * * * * [progress]: [ 131 / 213 ] simplifiying candidate # 10.722 * * * * [progress]: [ 132 / 213 ] simplifiying candidate # 10.722 * * * * [progress]: [ 133 / 213 ] simplifiying candidate # 10.722 * * * * [progress]: [ 134 / 213 ] simplifiying candidate # 10.722 * * * * [progress]: [ 135 / 213 ] simplifiying candidate # 10.722 * * * * [progress]: [ 136 / 213 ] simplifiying candidate # 10.722 * * * * [progress]: [ 137 / 213 ] simplifiying candidate # 10.722 * * * * [progress]: [ 138 / 213 ] simplifiying candidate # 10.722 * * * * [progress]: [ 139 / 213 ] simplifiying candidate # 10.722 * * * * [progress]: [ 140 / 213 ] simplifiying candidate # 10.722 * * * * [progress]: [ 141 / 213 ] simplifiying candidate # 10.722 * * * * [progress]: [ 142 / 213 ] simplifiying candidate # 10.723 * * * * [progress]: [ 143 / 213 ] simplifiying candidate # 10.723 * * * * [progress]: [ 144 / 213 ] simplifiying candidate # 10.723 * * * * [progress]: [ 145 / 213 ] simplifiying candidate # 10.723 * * * * [progress]: [ 146 / 213 ] simplifiying candidate # 10.723 * * * * [progress]: [ 147 / 213 ] simplifiying candidate # 10.723 * * * * [progress]: [ 148 / 213 ] simplifiying candidate # 10.723 * * * * [progress]: [ 149 / 213 ] simplifiying candidate # 10.723 * * * * [progress]: [ 150 / 213 ] simplifiying candidate # 10.723 * * * * [progress]: [ 151 / 213 ] simplifiying candidate # 10.723 * * * * [progress]: [ 152 / 213 ] simplifiying candidate # 10.723 * * * * [progress]: [ 153 / 213 ] simplifiying candidate # 10.723 * * * * [progress]: [ 154 / 213 ] simplifiying candidate # 10.723 * * * * [progress]: [ 155 / 213 ] simplifiying candidate # 10.723 * * * * [progress]: [ 156 / 213 ] simplifiying candidate # 10.724 * * * * [progress]: [ 157 / 213 ] simplifiying candidate # 10.724 * * * * [progress]: [ 158 / 213 ] simplifiying candidate # 10.724 * * * * [progress]: [ 159 / 213 ] simplifiying candidate # 10.724 * * * * [progress]: [ 160 / 213 ] simplifiying candidate # 10.724 * * * * [progress]: [ 161 / 213 ] simplifiying candidate # 10.724 * * * * [progress]: [ 162 / 213 ] simplifiying candidate # 10.724 * * * * [progress]: [ 163 / 213 ] simplifiying candidate # 10.724 * * * * [progress]: [ 164 / 213 ] simplifiying candidate # 10.724 * * * * [progress]: [ 165 / 213 ] simplifiying candidate # 10.724 * * * * [progress]: [ 166 / 213 ] simplifiying candidate # 10.724 * * * * [progress]: [ 167 / 213 ] simplifiying candidate # 10.724 * * * * [progress]: [ 168 / 213 ] simplifiying candidate # 10.724 * * * * [progress]: [ 169 / 213 ] simplifiying candidate # 10.724 * * * * [progress]: [ 170 / 213 ] simplifiying candidate # 10.725 * * * * [progress]: [ 171 / 213 ] simplifiying candidate # 10.725 * * * * [progress]: [ 172 / 213 ] simplifiying candidate # 10.725 * * * * [progress]: [ 173 / 213 ] simplifiying candidate # 10.725 * * * * [progress]: [ 174 / 213 ] simplifiying candidate # 10.725 * * * * [progress]: [ 175 / 213 ] simplifiying candidate # 10.725 * * * * [progress]: [ 176 / 213 ] simplifiying candidate # 10.725 * * * * [progress]: [ 177 / 213 ] simplifiying candidate # 10.725 * * * * [progress]: [ 178 / 213 ] simplifiying candidate # 10.725 * * * * [progress]: [ 179 / 213 ] simplifiying candidate # 10.725 * * * * [progress]: [ 180 / 213 ] simplifiying candidate # 10.725 * * * * [progress]: [ 181 / 213 ] simplifiying candidate # 10.725 * * * * [progress]: [ 182 / 213 ] simplifiying candidate # 10.725 * * * * [progress]: [ 183 / 213 ] simplifiying candidate # 10.725 * * * * [progress]: [ 184 / 213 ] simplifiying candidate # 10.725 * * * * [progress]: [ 185 / 213 ] simplifiying candidate # 10.726 * * * * [progress]: [ 186 / 213 ] simplifiying candidate # 10.726 * * * * [progress]: [ 187 / 213 ] simplifiying candidate # 10.726 * * * * [progress]: [ 188 / 213 ] simplifiying candidate # 10.726 * * * * [progress]: [ 189 / 213 ] simplifiying candidate # 10.726 * * * * [progress]: [ 190 / 213 ] simplifiying candidate # 10.726 * * * * [progress]: [ 191 / 213 ] simplifiying candidate # 10.726 * * * * [progress]: [ 192 / 213 ] simplifiying candidate # 10.726 * * * * [progress]: [ 193 / 213 ] simplifiying candidate # 10.726 * * * * [progress]: [ 194 / 213 ] simplifiying candidate # 10.726 * * * * [progress]: [ 195 / 213 ] simplifiying candidate # 10.726 * * * * [progress]: [ 196 / 213 ] simplifiying candidate # 10.726 * * * * [progress]: [ 197 / 213 ] simplifiying candidate # 10.726 * * * * [progress]: [ 198 / 213 ] simplifiying candidate # 10.726 * * * * [progress]: [ 199 / 213 ] simplifiying candidate # 10.726 * * * * [progress]: [ 200 / 213 ] simplifiying candidate # 10.727 * * * * [progress]: [ 201 / 213 ] simplifiying candidate #real (real->posit16 (exp (/ (- (+ f n)) (- f n)))))))))> 10.727 * * * * [progress]: [ 202 / 213 ] simplifiying candidate # 10.727 * * * * [progress]: [ 203 / 213 ] simplifiying candidate # 10.727 * * * * [progress]: [ 204 / 213 ] simplifiying candidate # 10.727 * * * * [progress]: [ 205 / 213 ] simplifiying candidate # 10.727 * * * * [progress]: [ 206 / 213 ] simplifiying candidate # 10.727 * * * * [progress]: [ 207 / 213 ] simplifiying candidate # 10.727 * * * * [progress]: [ 208 / 213 ] simplifiying candidate # 10.727 * * * * [progress]: [ 209 / 213 ] simplifiying candidate # 10.727 * * * * [progress]: [ 210 / 213 ] simplifiying candidate # 10.728 * * * * [progress]: [ 211 / 213 ] simplifiying candidate # 10.728 * * * * [progress]: [ 212 / 213 ] simplifiying candidate # 10.728 * * * * [progress]: [ 213 / 213 ] simplifiying candidate # 10.731 * [simplify]: Simplifying: (exp (log1p (exp (/ (- (+ f n)) (- f n))))) (expm1 (expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))) (log1p (expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))) (log (expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))) (exp (expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))) (* (cbrt (expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))) (cbrt (expm1 (log1p (exp (/ (- (+ f n)) (- f n))))))) (cbrt (expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))) (* (* (expm1 (log1p (exp (/ (- (+ f n)) (- f n))))) (expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))) (expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))) (sqrt (expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))) (sqrt (expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))) (real->posit16 (expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))) (+ 1 (exp (/ (- (+ f n)) (- f n)))) (expm1 (log1p (exp (/ (- (+ f n)) (- f n))))) (log1p (log1p (exp (/ (- (+ f n)) (- f n))))) (log (log1p (exp (/ (- (+ f n)) (- f n))))) (exp (log1p (exp (/ (- (+ f n)) (- f n))))) (* (cbrt (log1p (exp (/ (- (+ f n)) (- f n))))) (cbrt (log1p (exp (/ (- (+ f n)) (- f n)))))) (cbrt (log1p (exp (/ (- (+ f n)) (- f n))))) (* (* (log1p (exp (/ (- (+ f n)) (- f n)))) (log1p (exp (/ (- (+ f n)) (- f n))))) (log1p (exp (/ (- (+ f n)) (- f n))))) (sqrt (log1p (exp (/ (- (+ f n)) (- f n))))) (sqrt (log1p (exp (/ (- (+ f n)) (- f n))))) (real->posit16 (log1p (exp (/ (- (+ f n)) (- f n))))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- 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(- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n)))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n)))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)) (exp (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (sqrt (+ f n))) (sqrt (- f n)))) (exp (/ (- (sqrt (+ f n))) 1)) (exp (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (/ (- (sqrt (+ f n))) 1)) (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- 1) (sqrt (- f n)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (+ (sqrt f) (sqrt n)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- 1) (sqrt (- f n)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (+ (sqrt f) (sqrt n)))) (exp (/ (- 1) 1)) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1)) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1)) (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (+ f n)) (sqrt (- f n)))) (exp (/ (sqrt (+ f n)) 1)) (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (exp (/ (sqrt (+ f n)) 1)) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp 1) (exp (- (+ f n))) (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) (exp (/ (- (+ f n)) (- (* f f) (* n n)))) (exp (/ (+ f n) (- f n))) (exp (/ 0 (- f n))) (exp (/ (+ f n) (- f n))) (log (exp (/ (- (+ f n)) (- f n)))) (exp (exp (/ (- (+ f n)) (- f n)))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (* (* (exp (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n)))) (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) (real->posit16 (exp (/ (- (+ f n)) (- f n)))) E (exp -1) (exp -1) (log (+ E 1)) (log (+ (exp -1) 1)) (log (+ (exp -1) 1)) 1 -1 -1 E (exp -1) (exp -1) 10.736 * * [simplify]: iteration 0: 217 enodes 10.799 * * [simplify]: iteration 1: 419 enodes 10.896 * * [simplify]: iteration 2: 900 enodes 11.285 * * [simplify]: iteration 3: 2638 enodes 12.248 * * [simplify]: iteration complete: 5000 enodes 12.248 * * [simplify]: Extracting #0: cost 146 inf + 0 12.250 * * [simplify]: Extracting #1: cost 725 inf + 137 12.254 * * [simplify]: Extracting #2: cost 1204 inf + 977 12.267 * * [simplify]: Extracting #3: cost 1025 inf + 60412 12.334 * * [simplify]: Extracting #4: cost 304 inf + 230093 12.408 * * [simplify]: Extracting #5: cost 82 inf + 299309 12.489 * * [simplify]: Extracting #6: cost 14 inf + 318317 12.585 * * [simplify]: Extracting #7: cost 0 inf + 322244 12.699 * [simplify]: Simplified to: (exp (log1p (exp (- (/ (+ n f) (- f n)))))) (expm1 (exp (- (/ (+ n f) (- f n))))) (log1p (exp (- (/ (+ n f) (- f n))))) (- (/ (+ n f) (- f n))) (exp (exp (- (/ (+ n f) (- f n))))) (* (cbrt (exp (- (/ (+ n f) (- f n))))) (cbrt (exp (- (/ (+ n f) (- f n)))))) (cbrt (exp (- (/ (+ n f) (- f n))))) (exp (* 3 (- (/ (+ n f) (- f n))))) (sqrt (exp (- (/ (+ n f) (- f n))))) (sqrt (exp (- (/ (+ n f) (- f n))))) (real->posit16 (exp (- (/ (+ n f) (- f n))))) (+ (/ 1 (exp (/ (+ n f) (- f n)))) 1) (exp (- (/ (+ n f) (- f n)))) (log1p (log1p (exp (- (/ (+ n f) (- f n)))))) (log (log1p (exp (- (/ (+ n f) (- f n)))))) (exp (log1p (exp (- (/ (+ n f) (- f n)))))) (* (cbrt (log1p (exp (- (/ (+ n f) (- f n)))))) (cbrt (log1p (exp (- (/ (+ n f) (- f n))))))) (cbrt (log1p (exp (- (/ (+ n f) (- f n)))))) (* (* (log1p (exp (- (/ (+ n f) (- f n))))) (log1p (exp (- (/ (+ n f) (- f n)))))) (log1p (exp (- (/ (+ n f) (- f n)))))) (sqrt (log1p (exp (- (/ (+ n f) (- f n)))))) (sqrt (log1p (exp (- (/ (+ n f) (- f n)))))) (real->posit16 (log1p (exp (- (/ 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(+ n f)) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (+ n f)) (sqrt (- f n)))) (exp (sqrt (+ n f))) (exp (/ (sqrt (+ n f)) (+ (sqrt f) (sqrt n)))) (exp (sqrt (+ n f))) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E E (exp (- (+ n f))) (exp (- (/ (+ n f) (- (* (* f f) f) (* (* n n) n))))) (/ 1 (exp (/ 1 (- f n)))) (exp (/ (+ n f) (- f n))) 1 (exp (/ (+ n f) (- f n))) (- (/ (+ n f) (- f n))) (exp (exp (- (/ (+ n f) (- f n))))) (* (cbrt (exp (- (/ (+ n f) (- f n))))) (cbrt (exp (- (/ (+ n f) (- f n)))))) (cbrt (exp (- (/ (+ n f) (- f n))))) (exp (* 3 (- (/ (+ n f) (- f n))))) (sqrt (exp (- (/ (+ n f) (- f n))))) (sqrt (exp (- (/ (+ n f) (- f n))))) (real->posit16 (exp (- (/ (+ n f) (- f n))))) E (/ 1 E) (/ 1 E) (log1p E) (log1p (/ 1 E)) (log1p (/ 1 E)) 1 -1 -1 E (/ 1 E) (/ 1 E) 12.729 * * * [progress]: adding candidates to table 13.535 * [progress]: [Phase 3 of 3] Extracting. 13.536 * * [regime]: Finding splitpoints for: (# # #) 13.537 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 13.537 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 13.567 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# #) 13.586 * * * * [regimes]: Trying to branch on n from (# # #) 13.617 * * * * [regimes]: Trying to branch on f from (# # #) 13.641 * * * [regime]: Found split indices: #