0.650 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.084 * * * [progress]: [2/2] Setting up program. 0.120 * [progress]: [Phase 2 of 3] Improving. 0.120 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.123 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.124 * * [simplify]: iteration 0: 6 enodes 0.131 * * [simplify]: iteration 1: 13 enodes 0.136 * * [simplify]: iteration 2: 16 enodes 0.138 * * [simplify]: iteration 3: 20 enodes 0.141 * * [simplify]: iteration 4: 24 enodes 0.144 * * [simplify]: iteration 5: 29 enodes 0.148 * * [simplify]: iteration 6: 31 enodes 0.152 * * [simplify]: iteration complete: 31 enodes 0.153 * * [simplify]: Extracting #0: cost 1 inf + 0 0.153 * * [simplify]: Extracting #1: cost 9 inf + 0 0.153 * * [simplify]: Extracting #2: cost 14 inf + 0 0.153 * * [simplify]: Extracting #3: cost 11 inf + 43 0.154 * * [simplify]: Extracting #4: cost 2 inf + 860 0.154 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.154 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.156 * * [progress]: iteration 1 / 4 0.156 * * * [progress]: picking best candidate 0.158 * * * * [pick]: Picked # 0.158 * * * [progress]: localizing error 0.179 * * * [progress]: generating rewritten candidates 0.179 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.600 * * * [progress]: generating series expansions 0.601 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.608 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.608 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.609 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.609 * [taylor]: Taking taylor expansion of -1 in n 0.609 * [backup-simplify]: Simplify -1 into -1 0.609 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.609 * [taylor]: Taking taylor expansion of (+ n f) in n 0.609 * [taylor]: Taking taylor expansion of n in n 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [taylor]: Taking taylor expansion of f in n 0.610 * [backup-simplify]: Simplify f into f 0.610 * [taylor]: Taking taylor expansion of (- f n) in n 0.610 * [taylor]: Taking taylor expansion of f in n 0.610 * [backup-simplify]: Simplify f into f 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 0.610 * [backup-simplify]: Simplify (+ 0 f) into f 0.611 * [backup-simplify]: Simplify (- 0) into 0 0.611 * [backup-simplify]: Simplify (+ f 0) into f 0.611 * [backup-simplify]: Simplify (/ f f) into 1 0.611 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.611 * [taylor]: Taking taylor expansion of -1 in f 0.611 * [backup-simplify]: Simplify -1 into -1 0.611 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.611 * [taylor]: Taking taylor expansion of (+ n f) in f 0.612 * [taylor]: Taking taylor expansion of n in f 0.612 * [backup-simplify]: Simplify n into n 0.612 * [taylor]: Taking taylor expansion of f in f 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [taylor]: Taking taylor expansion of (- f n) in f 0.612 * [taylor]: Taking taylor expansion of f in f 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [taylor]: Taking taylor expansion of n in f 0.612 * [backup-simplify]: Simplify n into n 0.612 * [backup-simplify]: Simplify (+ n 0) into n 0.612 * [backup-simplify]: Simplify (- n) into (- n) 0.612 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.612 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.612 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.612 * [taylor]: Taking taylor expansion of -1 in f 0.612 * [backup-simplify]: Simplify -1 into -1 0.612 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.612 * [taylor]: Taking taylor expansion of (+ n f) in f 0.612 * [taylor]: Taking taylor expansion of n in f 0.612 * [backup-simplify]: Simplify n into n 0.612 * [taylor]: Taking taylor expansion of f in f 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [taylor]: Taking taylor expansion of (- f n) in f 0.612 * [taylor]: Taking taylor expansion of f in f 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [taylor]: Taking taylor expansion of n in f 0.612 * [backup-simplify]: Simplify n into n 0.612 * [backup-simplify]: Simplify (+ n 0) into n 0.612 * [backup-simplify]: Simplify (- n) into (- n) 0.613 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.613 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.614 * [backup-simplify]: Simplify (* -1 -1) into 1 0.614 * [taylor]: Taking taylor expansion of 1 in n 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (+ 0 1) into 1 0.615 * [backup-simplify]: Simplify (- 0) into 0 0.616 * [backup-simplify]: Simplify (+ 1 0) into 1 0.616 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.617 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.617 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.617 * [taylor]: Taking taylor expansion of 2 in n 0.617 * [backup-simplify]: Simplify 2 into 2 0.617 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.617 * [taylor]: Taking taylor expansion of n in n 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [backup-simplify]: Simplify (/ 1 1) into 1 0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [backup-simplify]: Simplify (- 0) into 0 0.620 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.622 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.622 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.622 * [taylor]: Taking taylor expansion of 2 in n 0.622 * [backup-simplify]: Simplify 2 into 2 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.622 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.622 * [taylor]: Taking taylor expansion of n in n 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 1 into 1 0.623 * [backup-simplify]: Simplify (* 1 1) into 1 0.623 * [backup-simplify]: Simplify (/ 1 1) into 1 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (+ 0 0) into 0 0.630 * [backup-simplify]: Simplify (- 0) into 0 0.631 * [backup-simplify]: Simplify (+ 0 0) into 0 0.632 * [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)))) 0.633 * [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))) 0.633 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.633 * [taylor]: Taking taylor expansion of 2 in n 0.633 * [backup-simplify]: Simplify 2 into 2 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.633 * [taylor]: Taking taylor expansion of (pow n 3) 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 (* 1 1) into 1 0.635 * [backup-simplify]: Simplify (/ 1 1) into 1 0.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 1 into 1 0.644 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.644 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.644 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.644 * [taylor]: Taking taylor expansion of -1 in n 0.645 * [backup-simplify]: Simplify -1 into -1 0.645 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.645 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.645 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.645 * [taylor]: Taking taylor expansion of f in n 0.645 * [backup-simplify]: Simplify f into f 0.645 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 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 0.645 * [backup-simplify]: Simplify (/ 1 1) into 1 0.646 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.646 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.646 * [taylor]: Taking taylor expansion of f in n 0.646 * [backup-simplify]: Simplify f into f 0.646 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.646 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.646 * [taylor]: Taking taylor expansion of n in n 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify 1 into 1 0.646 * [backup-simplify]: Simplify (/ 1 1) into 1 0.647 * [backup-simplify]: Simplify (+ 0 1) into 1 0.647 * [backup-simplify]: Simplify (- 1) into -1 0.648 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.648 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.648 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.648 * [taylor]: Taking taylor expansion of -1 in f 0.648 * [backup-simplify]: Simplify -1 into -1 0.648 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.648 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.648 * [taylor]: Taking taylor expansion of f in f 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (/ 1 1) into 1 0.649 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.649 * [taylor]: Taking taylor expansion of n in f 0.649 * [backup-simplify]: Simplify n into n 0.649 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.649 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.649 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.649 * [taylor]: Taking taylor expansion of f in f 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (/ 1 1) into 1 0.649 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.650 * [taylor]: Taking taylor expansion of n in f 0.650 * [backup-simplify]: Simplify n into n 0.650 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.650 * [backup-simplify]: Simplify (+ 1 0) into 1 0.651 * [backup-simplify]: Simplify (+ 1 0) into 1 0.651 * [backup-simplify]: Simplify (/ 1 1) into 1 0.651 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.651 * [taylor]: Taking taylor expansion of -1 in f 0.651 * [backup-simplify]: Simplify -1 into -1 0.651 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.651 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.651 * [taylor]: Taking taylor expansion of f in f 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.652 * [taylor]: Taking taylor expansion of n in f 0.652 * [backup-simplify]: Simplify n into n 0.652 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.652 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.652 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.652 * [taylor]: Taking taylor expansion of f in f 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify (/ 1 1) into 1 0.653 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.653 * [taylor]: Taking taylor expansion of n in f 0.653 * [backup-simplify]: Simplify n into n 0.653 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.653 * [backup-simplify]: Simplify (+ 1 0) into 1 0.654 * [backup-simplify]: Simplify (+ 1 0) into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [backup-simplify]: Simplify (* -1 1) into -1 0.655 * [taylor]: Taking taylor expansion of -1 in n 0.655 * [backup-simplify]: Simplify -1 into -1 0.655 * [backup-simplify]: Simplify -1 into -1 0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.656 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.656 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.657 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.657 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.657 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.657 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.657 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.657 * [taylor]: Taking taylor expansion of 2 in n 0.657 * [backup-simplify]: Simplify 2 into 2 0.657 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.657 * [taylor]: Taking taylor expansion of n in n 0.657 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [backup-simplify]: Simplify (/ 1 1) into 1 0.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.660 * [backup-simplify]: Simplify (- 0) into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.661 * [backup-simplify]: Simplify (+ 0 0) into 0 0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.663 * [backup-simplify]: Simplify (- 0) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.665 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.665 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.665 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.665 * [taylor]: Taking taylor expansion of 2 in n 0.665 * [backup-simplify]: Simplify 2 into 2 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.665 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.665 * [taylor]: Taking taylor expansion of n in n 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify (* 1 1) into 1 0.666 * [backup-simplify]: Simplify (/ 1 1) into 1 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.670 * [backup-simplify]: Simplify (- 0) into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.672 * [backup-simplify]: Simplify (- 0) into 0 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.674 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.675 * [backup-simplify]: Simplify (- 0) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [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))) 0.678 * [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)))) 0.678 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.678 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.678 * [taylor]: Taking taylor expansion of 2 in n 0.678 * [backup-simplify]: Simplify 2 into 2 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.678 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.678 * [taylor]: Taking taylor expansion of n in n 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify (* 1 1) into 1 0.679 * [backup-simplify]: Simplify (* 1 1) into 1 0.679 * [backup-simplify]: Simplify (/ 1 1) into 1 0.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (- 0) into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify -1 into -1 0.689 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.689 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.689 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.689 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.689 * [taylor]: Taking taylor expansion of f in n 0.689 * [backup-simplify]: Simplify f into f 0.689 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 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 0.690 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.690 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.690 * [taylor]: Taking taylor expansion of n in n 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.691 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.691 * [taylor]: Taking taylor expansion of f in n 0.691 * [backup-simplify]: Simplify f into f 0.691 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.691 * [backup-simplify]: Simplify (+ 0 1) into 1 0.692 * [backup-simplify]: Simplify (+ 1 0) into 1 0.692 * [backup-simplify]: Simplify (/ 1 1) into 1 0.692 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.692 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.692 * [taylor]: Taking taylor expansion of f in f 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (/ 1 1) into 1 0.693 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.693 * [taylor]: Taking taylor expansion of n in f 0.693 * [backup-simplify]: Simplify n into n 0.693 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.694 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.694 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.694 * [taylor]: Taking taylor expansion of n in f 0.694 * [backup-simplify]: Simplify n into n 0.694 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.694 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.694 * [taylor]: Taking taylor expansion of f in f 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify (/ 1 1) into 1 0.695 * [backup-simplify]: Simplify (+ 1 0) into 1 0.695 * [backup-simplify]: Simplify (- 1) into -1 0.696 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.696 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.696 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.696 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.696 * [taylor]: Taking taylor expansion of f in f 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (/ 1 1) into 1 0.697 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.697 * [taylor]: Taking taylor expansion of n in f 0.697 * [backup-simplify]: Simplify n into n 0.697 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.697 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.697 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.697 * [taylor]: Taking taylor expansion of n in f 0.697 * [backup-simplify]: Simplify n into n 0.697 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.697 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.697 * [taylor]: Taking taylor expansion of f in f 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 0.698 * [backup-simplify]: Simplify (+ 1 0) into 1 0.698 * [backup-simplify]: Simplify (- 1) into -1 0.699 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.699 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.699 * [taylor]: Taking taylor expansion of -1 in n 0.699 * [backup-simplify]: Simplify -1 into -1 0.699 * [backup-simplify]: Simplify -1 into -1 0.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (- 0) into 0 0.701 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.702 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.702 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.702 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.702 * [taylor]: Taking taylor expansion of 2 in n 0.702 * [backup-simplify]: Simplify 2 into 2 0.702 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (/ 1 1) into 1 0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.704 * [backup-simplify]: Simplify (- 0) into 0 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.706 * [backup-simplify]: Simplify (+ 0 0) into 0 0.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (- 0) into 0 0.708 * [backup-simplify]: Simplify (+ 0 0) into 0 0.709 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.709 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.709 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.709 * [taylor]: Taking taylor expansion of 2 in n 0.709 * [backup-simplify]: Simplify 2 into 2 0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.709 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.709 * [taylor]: Taking taylor expansion of n in n 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.710 * [backup-simplify]: Simplify (* 1 1) into 1 0.710 * [backup-simplify]: Simplify (/ 1 1) into 1 0.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.714 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.715 * [backup-simplify]: Simplify (- 0) into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.717 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.717 * [backup-simplify]: Simplify (- 0) into 0 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.719 * [backup-simplify]: Simplify (+ 0 0) into 0 0.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.720 * [backup-simplify]: Simplify (- 0) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [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)))) 0.721 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.721 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.721 * [taylor]: Taking taylor expansion of 2 in n 0.721 * [backup-simplify]: Simplify 2 into 2 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.721 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.721 * [taylor]: Taking taylor expansion of n in n 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.722 * [backup-simplify]: Simplify (* 1 1) into 1 0.722 * [backup-simplify]: Simplify (* 1 1) into 1 0.722 * [backup-simplify]: Simplify (/ 1 1) into 1 0.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (- 0) into 0 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify -1 into -1 0.734 * * * [progress]: simplifying candidates 0.734 * * * * [progress]: [ 1 / 101 ] simplifiying candidate # 0.734 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 0.734 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 0.734 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 0.734 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 0.734 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 0.734 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 0.734 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 0.734 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 0.734 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 16 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 18 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 23 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 28 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 29 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 30 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 31 / 101 ] simplifiying candidate # 0.735 * * * * [progress]: [ 32 / 101 ] simplifiying candidate # 0.736 * * * * [progress]: [ 33 / 101 ] simplifiying candidate # 0.736 * * * * [progress]: [ 34 / 101 ] simplifiying candidate # 0.736 * * * * [progress]: [ 35 / 101 ] simplifiying candidate # 0.736 * * * * [progress]: [ 36 / 101 ] simplifiying candidate # 0.736 * * * * [progress]: [ 37 / 101 ] simplifiying candidate # 0.736 * * * * [progress]: [ 38 / 101 ] simplifiying candidate # 0.736 * * * * [progress]: [ 39 / 101 ] simplifiying candidate # 0.736 * * * * [progress]: [ 40 / 101 ] simplifiying candidate # 0.736 * * * * [progress]: [ 41 / 101 ] simplifiying candidate # 0.736 * * * * [progress]: [ 42 / 101 ] simplifiying candidate # 0.736 * * * * [progress]: [ 43 / 101 ] simplifiying candidate # 0.736 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 0.736 * * * * [progress]: [ 45 / 101 ] simplifiying candidate # 0.736 * * * * [progress]: [ 46 / 101 ] simplifiying candidate # 0.736 * * * * [progress]: [ 47 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 48 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 49 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 50 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 51 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 52 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 53 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 54 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 55 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 56 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 57 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 58 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 59 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 60 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 61 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 62 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 63 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 64 / 101 ] simplifiying candidate # 0.737 * * * * [progress]: [ 65 / 101 ] simplifiying candidate # 0.738 * * * * [progress]: [ 66 / 101 ] simplifiying candidate # 0.738 * * * * [progress]: [ 67 / 101 ] simplifiying candidate # 0.738 * * * * [progress]: [ 68 / 101 ] simplifiying candidate # 0.738 * * * * [progress]: [ 69 / 101 ] simplifiying candidate # 0.738 * * * * [progress]: [ 70 / 101 ] simplifiying candidate # 0.738 * * * * [progress]: [ 71 / 101 ] simplifiying candidate # 0.738 * * * * [progress]: [ 72 / 101 ] simplifiying candidate # 0.738 * * * * [progress]: [ 73 / 101 ] simplifiying candidate # 0.738 * * * * [progress]: [ 74 / 101 ] simplifiying candidate # 0.738 * * * * [progress]: [ 75 / 101 ] simplifiying candidate # 0.738 * * * * [progress]: [ 76 / 101 ] simplifiying candidate # 0.738 * * * * [progress]: [ 77 / 101 ] simplifiying candidate # 0.738 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 0.738 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 88 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 89 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 98 / 101 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))> 0.739 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 0.739 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 0.741 * [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 0.742 * * [simplify]: iteration 0: 136 enodes 0.793 * * [simplify]: iteration 1: 317 enodes 0.916 * * [simplify]: iteration 2: 709 enodes 1.171 * * [simplify]: iteration 3: 2259 enodes 2.551 * * [simplify]: iteration complete: 5012 enodes 2.551 * * [simplify]: Extracting #0: cost 89 inf + 0 2.552 * * [simplify]: Extracting #1: cost 456 inf + 3 2.557 * * [simplify]: Extracting #2: cost 795 inf + 9176 2.576 * * [simplify]: Extracting #3: cost 671 inf + 94168 2.649 * * [simplify]: Extracting #4: cost 247 inf + 197335 2.751 * * [simplify]: Extracting #5: cost 85 inf + 232507 2.841 * * [simplify]: Extracting #6: cost 9 inf + 244526 2.902 * * [simplify]: Extracting #7: cost 0 inf + 246803 2.986 * [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 2.992 * * * [progress]: adding candidates to table 3.287 * * [progress]: iteration 2 / 4 3.287 * * * [progress]: picking best candidate 3.305 * * * * [pick]: Picked # 3.305 * * * [progress]: localizing error 3.332 * * * [progress]: generating rewritten candidates 3.332 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 3.378 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.414 * * * [progress]: generating series expansions 3.414 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 3.415 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 3.415 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 3.415 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 3.415 * [taylor]: Taking taylor expansion of (- f n) in n 3.415 * [taylor]: Taking taylor expansion of f in n 3.415 * [backup-simplify]: Simplify f into f 3.415 * [taylor]: Taking taylor expansion of n in n 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [taylor]: Taking taylor expansion of (+ n f) in n 3.415 * [taylor]: Taking taylor expansion of n in n 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [taylor]: Taking taylor expansion of f in n 3.415 * [backup-simplify]: Simplify f into f 3.416 * [backup-simplify]: Simplify (- 0) into 0 3.416 * [backup-simplify]: Simplify (+ f 0) into f 3.416 * [backup-simplify]: Simplify (+ 0 f) into f 3.416 * [backup-simplify]: Simplify (/ f f) into 1 3.416 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.416 * [taylor]: Taking taylor expansion of (- f n) in f 3.416 * [taylor]: Taking taylor expansion of f in f 3.416 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify 1 into 1 3.416 * [taylor]: Taking taylor expansion of n in f 3.416 * [backup-simplify]: Simplify n into n 3.416 * [taylor]: Taking taylor expansion of (+ n f) in f 3.416 * [taylor]: Taking taylor expansion of n in f 3.416 * [backup-simplify]: Simplify n into n 3.416 * [taylor]: Taking taylor expansion of f in f 3.416 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify 1 into 1 3.416 * [backup-simplify]: Simplify (- n) into (- n) 3.416 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.416 * [backup-simplify]: Simplify (+ n 0) into n 3.416 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.417 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.417 * [taylor]: Taking taylor expansion of (- f n) in f 3.417 * [taylor]: Taking taylor expansion of f in f 3.417 * [backup-simplify]: Simplify 0 into 0 3.417 * [backup-simplify]: Simplify 1 into 1 3.417 * [taylor]: Taking taylor expansion of n in f 3.417 * [backup-simplify]: Simplify n into n 3.417 * [taylor]: Taking taylor expansion of (+ n f) in f 3.417 * [taylor]: Taking taylor expansion of n in f 3.417 * [backup-simplify]: Simplify n into n 3.417 * [taylor]: Taking taylor expansion of f in f 3.417 * [backup-simplify]: Simplify 0 into 0 3.417 * [backup-simplify]: Simplify 1 into 1 3.417 * [backup-simplify]: Simplify (- n) into (- n) 3.417 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.417 * [backup-simplify]: Simplify (+ n 0) into n 3.417 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.417 * [taylor]: Taking taylor expansion of -1 in n 3.417 * [backup-simplify]: Simplify -1 into -1 3.417 * [backup-simplify]: Simplify -1 into -1 3.418 * [backup-simplify]: Simplify (- 0) into 0 3.418 * [backup-simplify]: Simplify (+ 1 0) into 1 3.419 * [backup-simplify]: Simplify (+ 0 1) into 1 3.419 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 3.419 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.419 * [taylor]: Taking taylor expansion of 2 in n 3.419 * [backup-simplify]: Simplify 2 into 2 3.419 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.419 * [taylor]: Taking taylor expansion of n in n 3.419 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify 1 into 1 3.419 * [backup-simplify]: Simplify (/ 1 1) into 1 3.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.421 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify (- 0) into 0 3.422 * [backup-simplify]: Simplify (+ 0 0) into 0 3.422 * [backup-simplify]: Simplify (+ 0 0) into 0 3.423 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 3.423 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.423 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.423 * [taylor]: Taking taylor expansion of 2 in n 3.423 * [backup-simplify]: Simplify 2 into 2 3.423 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.423 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.423 * [taylor]: Taking taylor expansion of n in n 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify 1 into 1 3.424 * [backup-simplify]: Simplify (* 1 1) into 1 3.424 * [backup-simplify]: Simplify (/ 1 1) into 1 3.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.433 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.433 * [backup-simplify]: Simplify (- 0) into 0 3.433 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.435 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify (- 0) into 0 3.436 * [backup-simplify]: Simplify (+ 0 0) into 0 3.436 * [backup-simplify]: Simplify (+ 0 0) into 0 3.436 * [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))) 3.436 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.436 * [taylor]: Taking taylor expansion of 2 in n 3.436 * [backup-simplify]: Simplify 2 into 2 3.436 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.436 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.436 * [taylor]: Taking taylor expansion of n in n 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (* 1 1) into 1 3.437 * [backup-simplify]: Simplify (* 1 1) into 1 3.437 * [backup-simplify]: Simplify (/ 1 1) into 1 3.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.442 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify -1 into -1 3.442 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 3.442 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 3.442 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 3.442 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 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 3.443 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.443 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.443 * [taylor]: Taking taylor expansion of n in n 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify 1 into 1 3.443 * [backup-simplify]: Simplify (/ 1 1) into 1 3.443 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.443 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.443 * [taylor]: Taking taylor expansion of f in n 3.443 * [backup-simplify]: Simplify f into f 3.443 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.443 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.443 * [taylor]: Taking taylor expansion of n in n 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify 1 into 1 3.443 * [backup-simplify]: Simplify (/ 1 1) into 1 3.443 * [backup-simplify]: Simplify (- 1) into -1 3.444 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.444 * [backup-simplify]: Simplify (+ 0 1) into 1 3.444 * [backup-simplify]: Simplify (/ -1 1) into -1 3.444 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 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 3.445 * [backup-simplify]: Simplify (/ 1 1) into 1 3.445 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.445 * [taylor]: Taking taylor expansion of n in f 3.445 * [backup-simplify]: Simplify n into n 3.445 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.445 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.445 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.445 * [taylor]: Taking taylor expansion of f in f 3.445 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify 1 into 1 3.445 * [backup-simplify]: Simplify (/ 1 1) into 1 3.445 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.445 * [taylor]: Taking taylor expansion of n in f 3.445 * [backup-simplify]: Simplify n into n 3.445 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.445 * [backup-simplify]: Simplify (+ 1 0) into 1 3.446 * [backup-simplify]: Simplify (+ 1 0) into 1 3.446 * [backup-simplify]: Simplify (/ 1 1) into 1 3.446 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 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 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify 1 into 1 3.446 * [backup-simplify]: Simplify (/ 1 1) into 1 3.446 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.446 * [taylor]: Taking taylor expansion of n in f 3.446 * [backup-simplify]: Simplify n into n 3.446 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 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 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1 3.447 * [backup-simplify]: Simplify (+ 1 0) into 1 3.447 * [backup-simplify]: Simplify (/ 1 1) into 1 3.448 * [taylor]: Taking taylor expansion of 1 in n 3.448 * [backup-simplify]: Simplify 1 into 1 3.448 * [backup-simplify]: Simplify 1 into 1 3.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.448 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.448 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.449 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.449 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 3.449 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.449 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.449 * [taylor]: Taking taylor expansion of 2 in n 3.449 * [backup-simplify]: Simplify 2 into 2 3.449 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.449 * [taylor]: Taking taylor expansion of n in n 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 1 into 1 3.449 * [backup-simplify]: Simplify (/ 1 1) into 1 3.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.450 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.450 * [backup-simplify]: Simplify (- 0) into 0 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.451 * [backup-simplify]: Simplify (- 0) into 0 3.451 * [backup-simplify]: Simplify (+ 0 0) into 0 3.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.453 * [backup-simplify]: Simplify (+ 0 0) into 0 3.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 3.453 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.453 * [taylor]: Taking taylor expansion of 2 in n 3.453 * [backup-simplify]: Simplify 2 into 2 3.453 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.453 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.453 * [taylor]: Taking taylor expansion of n in n 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 1 into 1 3.454 * [backup-simplify]: Simplify (* 1 1) into 1 3.454 * [backup-simplify]: Simplify (/ 1 1) into 1 3.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.456 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.456 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.457 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.458 * [backup-simplify]: Simplify (- 0) into 0 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.459 * [backup-simplify]: Simplify (- 0) into 0 3.459 * [backup-simplify]: Simplify (+ 0 0) into 0 3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.460 * [backup-simplify]: Simplify (+ 0 0) into 0 3.461 * [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)))) 3.461 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.461 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.461 * [taylor]: Taking taylor expansion of 2 in n 3.461 * [backup-simplify]: Simplify 2 into 2 3.461 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.461 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.461 * [taylor]: Taking taylor expansion of n in n 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify 1 into 1 3.461 * [backup-simplify]: Simplify (* 1 1) into 1 3.462 * [backup-simplify]: Simplify (* 1 1) into 1 3.462 * [backup-simplify]: Simplify (/ 1 1) into 1 3.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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) (+ (* 0 0) (* 0 1))) into 0 3.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.470 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.470 * [backup-simplify]: Simplify (- 0) into 0 3.470 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 1 into 1 3.471 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 3.471 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 3.471 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 3.471 * [taylor]: Taking taylor expansion of -1 in n 3.471 * [backup-simplify]: Simplify -1 into -1 3.471 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 3.471 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.471 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.471 * [taylor]: Taking taylor expansion of n in n 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 1 into 1 3.471 * [backup-simplify]: Simplify (/ 1 1) into 1 3.472 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.472 * [taylor]: Taking taylor expansion of f in n 3.472 * [backup-simplify]: Simplify f into f 3.472 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.472 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.472 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.472 * [taylor]: Taking taylor expansion of f in n 3.472 * [backup-simplify]: Simplify f into f 3.472 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.472 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.472 * [taylor]: Taking taylor expansion of n in n 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify 1 into 1 3.472 * [backup-simplify]: Simplify (/ 1 1) into 1 3.472 * [backup-simplify]: Simplify (+ 1 0) into 1 3.473 * [backup-simplify]: Simplify (+ 0 1) into 1 3.473 * [backup-simplify]: Simplify (/ 1 1) into 1 3.473 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.473 * [taylor]: Taking taylor expansion of -1 in f 3.473 * [backup-simplify]: Simplify -1 into -1 3.473 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.473 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.473 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.473 * [taylor]: Taking taylor expansion of n in f 3.473 * [backup-simplify]: Simplify n into n 3.473 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.473 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.473 * [taylor]: Taking taylor expansion of f in f 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 1 into 1 3.473 * [backup-simplify]: Simplify (/ 1 1) into 1 3.473 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.473 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.473 * [taylor]: Taking taylor expansion of f in f 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 1 into 1 3.474 * [backup-simplify]: Simplify (/ 1 1) into 1 3.474 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.474 * [taylor]: Taking taylor expansion of n in f 3.474 * [backup-simplify]: Simplify n into n 3.474 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.474 * [backup-simplify]: Simplify (- 1) into -1 3.474 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.474 * [backup-simplify]: Simplify (+ 1 0) into 1 3.475 * [backup-simplify]: Simplify (/ -1 1) into -1 3.475 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.475 * [taylor]: Taking taylor expansion of -1 in f 3.475 * [backup-simplify]: Simplify -1 into -1 3.475 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.475 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.475 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.475 * [taylor]: Taking taylor expansion of n in f 3.475 * [backup-simplify]: Simplify n into n 3.475 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.475 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.475 * [taylor]: Taking taylor expansion of f in f 3.475 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify 1 into 1 3.475 * [backup-simplify]: Simplify (/ 1 1) into 1 3.475 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.475 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.475 * [taylor]: Taking taylor expansion of f in f 3.475 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify 1 into 1 3.475 * [backup-simplify]: Simplify (/ 1 1) into 1 3.475 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.475 * [taylor]: Taking taylor expansion of n in f 3.475 * [backup-simplify]: Simplify n into n 3.475 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.476 * [backup-simplify]: Simplify (- 1) into -1 3.476 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.476 * [backup-simplify]: Simplify (+ 1 0) into 1 3.477 * [backup-simplify]: Simplify (/ -1 1) into -1 3.477 * [backup-simplify]: Simplify (* -1 -1) into 1 3.477 * [taylor]: Taking taylor expansion of 1 in n 3.477 * [backup-simplify]: Simplify 1 into 1 3.477 * [backup-simplify]: Simplify 1 into 1 3.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.478 * [backup-simplify]: Simplify (- 0) into 0 3.478 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.478 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.478 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 3.479 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 3.479 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.479 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.479 * [taylor]: Taking taylor expansion of 2 in n 3.479 * [backup-simplify]: Simplify 2 into 2 3.479 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.479 * [taylor]: Taking taylor expansion of n in n 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify 1 into 1 3.479 * [backup-simplify]: Simplify (/ 1 1) into 1 3.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.480 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.480 * [backup-simplify]: Simplify (- 0) into 0 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.481 * [backup-simplify]: Simplify (- 0) into 0 3.481 * [backup-simplify]: Simplify (+ 0 0) into 0 3.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.482 * [backup-simplify]: Simplify (+ 0 0) into 0 3.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.483 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.483 * [taylor]: Taking taylor expansion of 2 in n 3.483 * [backup-simplify]: Simplify 2 into 2 3.483 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.483 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.483 * [taylor]: Taking taylor expansion of n in n 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.484 * [backup-simplify]: Simplify (* 1 1) into 1 3.484 * [backup-simplify]: Simplify (/ 1 1) into 1 3.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.486 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.486 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.487 * [backup-simplify]: Simplify (+ (* 2 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 0 into 0 3.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.489 * [backup-simplify]: Simplify (- 0) into 0 3.489 * [backup-simplify]: Simplify (+ 0 0) into 0 3.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.490 * [backup-simplify]: Simplify (+ 0 0) into 0 3.491 * [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))) 3.491 * [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)))) 3.491 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.491 * [taylor]: Taking taylor expansion of 2 in n 3.491 * [backup-simplify]: Simplify 2 into 2 3.491 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.491 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.491 * [taylor]: Taking taylor expansion of n in n 3.491 * [backup-simplify]: Simplify 0 into 0 3.491 * [backup-simplify]: Simplify 1 into 1 3.492 * [backup-simplify]: Simplify (* 1 1) into 1 3.492 * [backup-simplify]: Simplify (* 1 1) into 1 3.492 * [backup-simplify]: Simplify (/ 1 1) into 1 3.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.498 * [backup-simplify]: Simplify (- 0) into 0 3.498 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify 1 into 1 3.498 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.498 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 3.498 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.498 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.498 * [taylor]: Taking taylor expansion of -1 in n 3.498 * [backup-simplify]: Simplify -1 into -1 3.498 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.498 * [taylor]: Taking taylor expansion of (+ n f) in n 3.498 * [taylor]: Taking taylor expansion of n in n 3.498 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify 1 into 1 3.498 * [taylor]: Taking taylor expansion of f in n 3.498 * [backup-simplify]: Simplify f into f 3.498 * [taylor]: Taking taylor expansion of (- f n) in n 3.498 * [taylor]: Taking taylor expansion of f in n 3.498 * [backup-simplify]: Simplify f into f 3.498 * [taylor]: Taking taylor expansion of n in n 3.498 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify 1 into 1 3.498 * [backup-simplify]: Simplify (+ 0 f) into f 3.498 * [backup-simplify]: Simplify (- 0) into 0 3.498 * [backup-simplify]: Simplify (+ f 0) into f 3.498 * [backup-simplify]: Simplify (/ f f) into 1 3.498 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.498 * [taylor]: Taking taylor expansion of -1 in f 3.498 * [backup-simplify]: Simplify -1 into -1 3.498 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.498 * [taylor]: Taking taylor expansion of (+ n f) in f 3.499 * [taylor]: Taking taylor expansion of n in f 3.499 * [backup-simplify]: Simplify n into n 3.499 * [taylor]: Taking taylor expansion of f in f 3.499 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify 1 into 1 3.499 * [taylor]: Taking taylor expansion of (- f n) in f 3.499 * [taylor]: Taking taylor expansion of f in f 3.499 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify 1 into 1 3.499 * [taylor]: Taking taylor expansion of n in f 3.499 * [backup-simplify]: Simplify n into n 3.499 * [backup-simplify]: Simplify (+ n 0) into n 3.499 * [backup-simplify]: Simplify (- n) into (- n) 3.499 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.499 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.499 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.499 * [taylor]: Taking taylor expansion of -1 in f 3.499 * [backup-simplify]: Simplify -1 into -1 3.499 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.499 * [taylor]: Taking taylor expansion of (+ n f) in f 3.499 * [taylor]: Taking taylor expansion of n in f 3.499 * [backup-simplify]: Simplify n into n 3.499 * [taylor]: Taking taylor expansion of f in f 3.499 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify 1 into 1 3.499 * [taylor]: Taking taylor expansion of (- f n) in f 3.499 * [taylor]: Taking taylor expansion of f in f 3.499 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify 1 into 1 3.499 * [taylor]: Taking taylor expansion of n in f 3.499 * [backup-simplify]: Simplify n into n 3.499 * [backup-simplify]: Simplify (+ n 0) into n 3.499 * [backup-simplify]: Simplify (- n) into (- n) 3.499 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.499 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.499 * [backup-simplify]: Simplify (* -1 -1) into 1 3.499 * [taylor]: Taking taylor expansion of 1 in n 3.499 * [backup-simplify]: Simplify 1 into 1 3.499 * [backup-simplify]: Simplify 1 into 1 3.500 * [backup-simplify]: Simplify (+ 0 1) into 1 3.500 * [backup-simplify]: Simplify (- 0) into 0 3.501 * [backup-simplify]: Simplify (+ 1 0) into 1 3.501 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.501 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.502 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.502 * [taylor]: Taking taylor expansion of 2 in n 3.502 * [backup-simplify]: Simplify 2 into 2 3.502 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.502 * [taylor]: Taking taylor expansion of n in n 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify 1 into 1 3.502 * [backup-simplify]: Simplify (/ 1 1) into 1 3.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.504 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify (+ 0 0) into 0 3.505 * [backup-simplify]: Simplify (- 0) into 0 3.505 * [backup-simplify]: Simplify (+ 0 0) into 0 3.505 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.506 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.506 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.506 * [taylor]: Taking taylor expansion of 2 in n 3.506 * [backup-simplify]: Simplify 2 into 2 3.506 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.506 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.506 * [taylor]: Taking taylor expansion of n in n 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.507 * [backup-simplify]: Simplify (* 1 1) into 1 3.507 * [backup-simplify]: Simplify (/ 1 1) into 1 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.512 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.512 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.514 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify (+ 0 0) into 0 3.515 * [backup-simplify]: Simplify (- 0) into 0 3.515 * [backup-simplify]: Simplify (+ 0 0) into 0 3.516 * [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)))) 3.517 * [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))) 3.517 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.517 * [taylor]: Taking taylor expansion of 2 in n 3.517 * [backup-simplify]: Simplify 2 into 2 3.517 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.517 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.517 * [taylor]: Taking taylor expansion of n in n 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify 1 into 1 3.518 * [backup-simplify]: Simplify (* 1 1) into 1 3.518 * [backup-simplify]: Simplify (* 1 1) into 1 3.519 * [backup-simplify]: Simplify (/ 1 1) into 1 3.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.526 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 1 into 1 3.526 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.526 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.526 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.526 * [taylor]: Taking taylor expansion of -1 in n 3.526 * [backup-simplify]: Simplify -1 into -1 3.526 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.526 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.527 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.527 * [taylor]: Taking taylor expansion of f in n 3.527 * [backup-simplify]: Simplify f into f 3.527 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.527 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.527 * [taylor]: Taking taylor expansion of n in n 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 1 into 1 3.527 * [backup-simplify]: Simplify (/ 1 1) into 1 3.527 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.527 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.527 * [taylor]: Taking taylor expansion of f in n 3.527 * [backup-simplify]: Simplify f into f 3.527 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.527 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.527 * [taylor]: Taking taylor expansion of n in n 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 1 into 1 3.527 * [backup-simplify]: Simplify (/ 1 1) into 1 3.528 * [backup-simplify]: Simplify (+ 0 1) into 1 3.528 * [backup-simplify]: Simplify (- 1) into -1 3.528 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.528 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.528 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.528 * [taylor]: Taking taylor expansion of -1 in f 3.528 * [backup-simplify]: Simplify -1 into -1 3.528 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.528 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.528 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.528 * [taylor]: Taking taylor expansion of f in f 3.529 * [backup-simplify]: Simplify 0 into 0 3.529 * [backup-simplify]: Simplify 1 into 1 3.529 * [backup-simplify]: Simplify (/ 1 1) into 1 3.529 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.529 * [taylor]: Taking taylor expansion of n in f 3.529 * [backup-simplify]: Simplify n into n 3.529 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.529 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.529 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.529 * [taylor]: Taking taylor expansion of f in f 3.529 * [backup-simplify]: Simplify 0 into 0 3.529 * [backup-simplify]: Simplify 1 into 1 3.529 * [backup-simplify]: Simplify (/ 1 1) into 1 3.529 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.529 * [taylor]: Taking taylor expansion of n in f 3.529 * [backup-simplify]: Simplify n into n 3.529 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.530 * [backup-simplify]: Simplify (+ 1 0) into 1 3.530 * [backup-simplify]: Simplify (+ 1 0) into 1 3.530 * [backup-simplify]: Simplify (/ 1 1) into 1 3.530 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.530 * [taylor]: Taking taylor expansion of -1 in f 3.530 * [backup-simplify]: Simplify -1 into -1 3.530 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.530 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.530 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.530 * [taylor]: Taking taylor expansion of f in f 3.530 * [backup-simplify]: Simplify 0 into 0 3.530 * [backup-simplify]: Simplify 1 into 1 3.530 * [backup-simplify]: Simplify (/ 1 1) into 1 3.530 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.530 * [taylor]: Taking taylor expansion of n in f 3.530 * [backup-simplify]: Simplify n into n 3.531 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.531 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.531 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.531 * [taylor]: Taking taylor expansion of f in f 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify 1 into 1 3.531 * [backup-simplify]: Simplify (/ 1 1) into 1 3.531 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.531 * [taylor]: Taking taylor expansion of n in f 3.531 * [backup-simplify]: Simplify n into n 3.531 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.532 * [backup-simplify]: Simplify (+ 1 0) into 1 3.533 * [backup-simplify]: Simplify (+ 1 0) into 1 3.533 * [backup-simplify]: Simplify (/ 1 1) into 1 3.533 * [backup-simplify]: Simplify (* -1 1) into -1 3.533 * [taylor]: Taking taylor expansion of -1 in n 3.533 * [backup-simplify]: Simplify -1 into -1 3.534 * [backup-simplify]: Simplify -1 into -1 3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.534 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.535 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.535 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.535 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.535 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.535 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.535 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.535 * [taylor]: Taking taylor expansion of 2 in n 3.535 * [backup-simplify]: Simplify 2 into 2 3.535 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.535 * [taylor]: Taking taylor expansion of n in n 3.535 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify 1 into 1 3.535 * [backup-simplify]: Simplify (/ 1 1) into 1 3.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.536 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.537 * [backup-simplify]: Simplify (- 0) into 0 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.538 * [backup-simplify]: Simplify (+ 0 0) into 0 3.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.539 * [backup-simplify]: Simplify (- 0) into 0 3.539 * [backup-simplify]: Simplify (+ 0 0) into 0 3.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.541 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.541 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.541 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.541 * [taylor]: Taking taylor expansion of 2 in n 3.541 * [backup-simplify]: Simplify 2 into 2 3.541 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.541 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.541 * [taylor]: Taking taylor expansion of n in n 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 1 into 1 3.541 * [backup-simplify]: Simplify (* 1 1) into 1 3.541 * [backup-simplify]: Simplify (/ 1 1) into 1 3.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.544 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.544 * [backup-simplify]: Simplify (- 0) into 0 3.544 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.546 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.546 * [backup-simplify]: Simplify (- 0) into 0 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.547 * [backup-simplify]: Simplify (+ 0 0) into 0 3.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.548 * [backup-simplify]: Simplify (- 0) into 0 3.548 * [backup-simplify]: Simplify (+ 0 0) into 0 3.549 * [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))) 3.549 * [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)))) 3.549 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.550 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.550 * [taylor]: Taking taylor expansion of 2 in n 3.550 * [backup-simplify]: Simplify 2 into 2 3.550 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.550 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.550 * [taylor]: Taking taylor expansion of n in n 3.550 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify 1 into 1 3.550 * [backup-simplify]: Simplify (* 1 1) into 1 3.550 * [backup-simplify]: Simplify (* 1 1) into 1 3.550 * [backup-simplify]: Simplify (/ 1 1) into 1 3.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.559 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.559 * [backup-simplify]: Simplify (- 0) into 0 3.559 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify -1 into -1 3.559 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.559 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.559 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.559 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.560 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.560 * [taylor]: Taking taylor expansion of f in n 3.560 * [backup-simplify]: Simplify f into f 3.560 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.560 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.560 * [taylor]: Taking taylor expansion of n in n 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify 1 into 1 3.560 * [backup-simplify]: Simplify (/ 1 1) into 1 3.560 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.560 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.560 * [taylor]: Taking taylor expansion of n in n 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify 1 into 1 3.561 * [backup-simplify]: Simplify (/ 1 1) into 1 3.561 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.561 * [taylor]: Taking taylor expansion of f in n 3.561 * [backup-simplify]: Simplify f into f 3.561 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.561 * [backup-simplify]: Simplify (+ 0 1) into 1 3.562 * [backup-simplify]: Simplify (+ 1 0) into 1 3.562 * [backup-simplify]: Simplify (/ 1 1) into 1 3.562 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.563 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.563 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.563 * [taylor]: Taking taylor expansion of f in f 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify 1 into 1 3.563 * [backup-simplify]: Simplify (/ 1 1) into 1 3.563 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.563 * [taylor]: Taking taylor expansion of n in f 3.563 * [backup-simplify]: Simplify n into n 3.563 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.563 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.563 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.563 * [taylor]: Taking taylor expansion of n in f 3.563 * [backup-simplify]: Simplify n into n 3.563 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.563 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.563 * [taylor]: Taking taylor expansion of f in f 3.563 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 1 into 1 3.564 * [backup-simplify]: Simplify (/ 1 1) into 1 3.564 * [backup-simplify]: Simplify (+ 1 0) into 1 3.565 * [backup-simplify]: Simplify (- 1) into -1 3.565 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.566 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.566 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.566 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.566 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.566 * [taylor]: Taking taylor expansion of f in f 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify (/ 1 1) into 1 3.567 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.567 * [taylor]: Taking taylor expansion of n in f 3.567 * [backup-simplify]: Simplify n into n 3.567 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.567 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.567 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.567 * [taylor]: Taking taylor expansion of n in f 3.567 * [backup-simplify]: Simplify n into n 3.567 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.567 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.567 * [taylor]: Taking taylor expansion of f in f 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify (/ 1 1) into 1 3.568 * [backup-simplify]: Simplify (+ 1 0) into 1 3.568 * [backup-simplify]: Simplify (- 1) into -1 3.569 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.569 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.569 * [taylor]: Taking taylor expansion of -1 in n 3.569 * [backup-simplify]: Simplify -1 into -1 3.569 * [backup-simplify]: Simplify -1 into -1 3.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.570 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.572 * [backup-simplify]: Simplify (- 0) into 0 3.572 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.572 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.572 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.572 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.572 * [taylor]: Taking taylor expansion of 2 in n 3.572 * [backup-simplify]: Simplify 2 into 2 3.572 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.572 * [taylor]: Taking taylor expansion of n in n 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * [backup-simplify]: Simplify (/ 1 1) into 1 3.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.574 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.574 * [backup-simplify]: Simplify (- 0) into 0 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.576 * [backup-simplify]: Simplify (+ 0 0) into 0 3.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.577 * [backup-simplify]: Simplify (- 0) into 0 3.578 * [backup-simplify]: Simplify (+ 0 0) into 0 3.579 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.579 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.579 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.579 * [taylor]: Taking taylor expansion of 2 in n 3.579 * [backup-simplify]: Simplify 2 into 2 3.579 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.579 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.579 * [taylor]: Taking taylor expansion of n in n 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 1 into 1 3.580 * [backup-simplify]: Simplify (* 1 1) into 1 3.580 * [backup-simplify]: Simplify (/ 1 1) into 1 3.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.585 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.585 * [backup-simplify]: Simplify (- 0) into 0 3.585 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.587 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.588 * [backup-simplify]: Simplify (- 0) into 0 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.589 * [backup-simplify]: Simplify (+ 0 0) into 0 3.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.590 * [backup-simplify]: Simplify (- 0) into 0 3.590 * [backup-simplify]: Simplify (+ 0 0) into 0 3.591 * [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)))) 3.591 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.591 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.591 * [taylor]: Taking taylor expansion of 2 in n 3.591 * [backup-simplify]: Simplify 2 into 2 3.591 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.591 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.591 * [taylor]: Taking taylor expansion of n in n 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 1 into 1 3.591 * [backup-simplify]: Simplify (* 1 1) into 1 3.592 * [backup-simplify]: Simplify (* 1 1) into 1 3.592 * [backup-simplify]: Simplify (/ 1 1) into 1 3.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (- 0) into 0 3.597 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify -1 into -1 3.597 * * * [progress]: simplifying candidates 3.597 * * * * [progress]: [ 1 / 180 ] simplifiying candidate # 3.597 * * * * [progress]: [ 2 / 180 ] simplifiying candidate # 3.598 * * * * [progress]: [ 3 / 180 ] simplifiying candidate # 3.598 * * * * [progress]: [ 4 / 180 ] simplifiying candidate # 3.598 * * * * [progress]: [ 5 / 180 ] simplifiying 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* * * * [progress]: [ 52 / 180 ] simplifiying candidate # 3.599 * * * * [progress]: [ 53 / 180 ] simplifiying candidate # 3.599 * * * * [progress]: [ 54 / 180 ] simplifiying candidate # 3.600 * * * * [progress]: [ 55 / 180 ] simplifiying candidate # 3.600 * * * * [progress]: [ 56 / 180 ] simplifiying candidate # 3.600 * * * * [progress]: [ 57 / 180 ] simplifiying candidate # 3.600 * * * * [progress]: [ 58 / 180 ] simplifiying candidate # 3.600 * * * * [progress]: [ 59 / 180 ] simplifiying candidate # 3.600 * * * * [progress]: [ 60 / 180 ] simplifiying candidate # 3.600 * * * * [progress]: [ 61 / 180 ] simplifiying candidate # 3.600 * * * * [progress]: [ 62 / 180 ] simplifiying candidate # 3.600 * * * * [progress]: [ 63 / 180 ] simplifiying candidate # 3.600 * * * * [progress]: [ 64 / 180 ] simplifiying candidate # 3.600 * * * * [progress]: [ 65 / 180 ] simplifiying candidate # 3.600 * * * * [progress]: [ 66 / 180 ] simplifiying candidate # 3.600 * * * * [progress]: [ 67 / 180 ] 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3.604 * * * * [progress]: [ 175 / 180 ] simplifiying candidate # 3.604 * * * * [progress]: [ 176 / 180 ] simplifiying candidate # 3.604 * * * * [progress]: [ 177 / 180 ] simplifiying candidate # 3.604 * * * * [progress]: [ 178 / 180 ] simplifiying candidate # 3.604 * * * * [progress]: [ 179 / 180 ] simplifiying candidate # 3.604 * * * * [progress]: [ 180 / 180 ] simplifiying candidate # 3.606 * [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 3.609 * * [simplify]: iteration 0: 225 enodes 3.720 * * [simplify]: iteration 1: 595 enodes 3.956 * * [simplify]: iteration 2: 1938 enodes 4.621 * * [simplify]: iteration complete: 5004 enodes 4.621 * * [simplify]: Extracting #0: cost 172 inf + 0 4.626 * * [simplify]: Extracting #1: cost 1152 inf + 2 4.638 * * [simplify]: Extracting #2: cost 1971 inf + 5465 4.658 * * [simplify]: Extracting #3: cost 2054 inf + 40231 4.708 * * [simplify]: Extracting #4: cost 821 inf + 256357 4.800 * * [simplify]: Extracting #5: cost 82 inf + 421846 4.885 * * [simplify]: Extracting #6: cost 4 inf + 440406 4.974 * * [simplify]: Extracting #7: cost 0 inf + 441418 5.077 * [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) 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(/ (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))) (* 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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 5.091 * * * [progress]: adding candidates to table 5.692 * * [progress]: iteration 3 / 4 5.692 * * * [progress]: picking best candidate 5.698 * * * * [pick]: Picked # 5.699 * * * [progress]: localizing error 5.716 * * * [progress]: generating rewritten candidates 5.716 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 5.750 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 5.789 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.878 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.946 * * * [progress]: generating series expansions 5.946 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 5.946 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 5.946 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 5.946 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 5.946 * [taylor]: Taking taylor expansion of (- f n) in n 5.946 * [taylor]: Taking taylor expansion of f in n 5.946 * [backup-simplify]: Simplify f into f 5.946 * [taylor]: Taking taylor expansion of n in n 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify 1 into 1 5.946 * [taylor]: Taking taylor expansion of (+ n f) in n 5.946 * [taylor]: Taking taylor expansion of n in n 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify 1 into 1 5.946 * [taylor]: Taking taylor expansion of f in n 5.946 * [backup-simplify]: Simplify f into f 5.947 * [backup-simplify]: Simplify (- 0) into 0 5.947 * [backup-simplify]: Simplify (+ f 0) into f 5.947 * [backup-simplify]: Simplify (+ 0 f) into f 5.947 * [backup-simplify]: Simplify (/ f f) into 1 5.947 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 5.947 * [taylor]: Taking taylor expansion of (- f n) in f 5.947 * [taylor]: Taking taylor expansion of f in f 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify 1 into 1 5.947 * [taylor]: Taking taylor expansion of n in f 5.947 * [backup-simplify]: Simplify n into n 5.947 * [taylor]: Taking taylor expansion of (+ n f) in f 5.947 * [taylor]: Taking taylor expansion of n in f 5.947 * [backup-simplify]: Simplify n into n 5.947 * [taylor]: Taking taylor expansion of f in f 5.948 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify 1 into 1 5.948 * [backup-simplify]: Simplify (- n) into (- n) 5.948 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.948 * [backup-simplify]: Simplify (+ n 0) into n 5.948 * [backup-simplify]: Simplify (/ (- n) n) into -1 5.948 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 5.948 * [taylor]: Taking taylor expansion of (- f n) in f 5.948 * [taylor]: Taking taylor expansion of f in f 5.948 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify 1 into 1 5.948 * [taylor]: Taking taylor expansion of n in f 5.948 * [backup-simplify]: Simplify n into n 5.948 * [taylor]: Taking taylor expansion of (+ n f) in f 5.948 * [taylor]: Taking taylor expansion of n in f 5.948 * [backup-simplify]: Simplify n into n 5.948 * [taylor]: Taking taylor expansion of f in f 5.948 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify 1 into 1 5.948 * [backup-simplify]: Simplify (- n) into (- n) 5.948 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.948 * [backup-simplify]: Simplify (+ n 0) into n 5.948 * [backup-simplify]: Simplify (/ (- n) n) into -1 5.948 * [taylor]: Taking taylor expansion of -1 in n 5.949 * [backup-simplify]: Simplify -1 into -1 5.949 * [backup-simplify]: Simplify -1 into -1 5.949 * [backup-simplify]: Simplify (- 0) into 0 5.950 * [backup-simplify]: Simplify (+ 1 0) into 1 5.950 * [backup-simplify]: Simplify (+ 0 1) into 1 5.950 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 5.950 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.950 * [taylor]: Taking taylor expansion of 2 in n 5.950 * [backup-simplify]: Simplify 2 into 2 5.950 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.950 * [taylor]: Taking taylor expansion of n in n 5.950 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify 1 into 1 5.951 * [backup-simplify]: Simplify (/ 1 1) into 1 5.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.952 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.952 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify (- 0) into 0 5.953 * [backup-simplify]: Simplify (+ 0 0) into 0 5.954 * [backup-simplify]: Simplify (+ 0 0) into 0 5.954 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 5.954 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.954 * [taylor]: Taking taylor expansion of 2 in n 5.954 * [backup-simplify]: Simplify 2 into 2 5.954 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.954 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.954 * [taylor]: Taking taylor expansion of n in n 5.954 * [backup-simplify]: Simplify 0 into 0 5.954 * [backup-simplify]: Simplify 1 into 1 5.955 * [backup-simplify]: Simplify (* 1 1) into 1 5.955 * [backup-simplify]: Simplify (/ 1 1) into 1 5.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.960 * [backup-simplify]: Simplify (- 0) into 0 5.960 * [backup-simplify]: Simplify 0 into 0 5.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.962 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.962 * [backup-simplify]: Simplify 0 into 0 5.962 * [backup-simplify]: Simplify 0 into 0 5.962 * [backup-simplify]: Simplify (- 0) into 0 5.963 * [backup-simplify]: Simplify (+ 0 0) into 0 5.963 * [backup-simplify]: Simplify (+ 0 0) into 0 5.964 * [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))) 5.964 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.964 * [taylor]: Taking taylor expansion of 2 in n 5.964 * [backup-simplify]: Simplify 2 into 2 5.964 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.964 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.964 * [taylor]: Taking taylor expansion of n in n 5.964 * [backup-simplify]: Simplify 0 into 0 5.964 * [backup-simplify]: Simplify 1 into 1 5.964 * [backup-simplify]: Simplify (* 1 1) into 1 5.965 * [backup-simplify]: Simplify (* 1 1) into 1 5.965 * [backup-simplify]: Simplify (/ 1 1) into 1 5.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.975 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify -1 into -1 5.975 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 5.975 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 5.975 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 5.975 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.975 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.975 * [taylor]: Taking taylor expansion of f in n 5.975 * [backup-simplify]: Simplify f into f 5.975 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.975 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.975 * [taylor]: Taking taylor expansion of n in n 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 1 into 1 5.976 * [backup-simplify]: Simplify (/ 1 1) into 1 5.976 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.976 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.976 * [taylor]: Taking taylor expansion of f in n 5.976 * [backup-simplify]: Simplify f into f 5.976 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.976 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.976 * [taylor]: Taking taylor expansion of n in n 5.976 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify 1 into 1 5.976 * [backup-simplify]: Simplify (/ 1 1) into 1 5.977 * [backup-simplify]: Simplify (- 1) into -1 5.977 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.978 * [backup-simplify]: Simplify (+ 0 1) into 1 5.978 * [backup-simplify]: Simplify (/ -1 1) into -1 5.978 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 5.978 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.978 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.978 * [taylor]: Taking taylor expansion of f in f 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify 1 into 1 5.979 * [backup-simplify]: Simplify (/ 1 1) into 1 5.979 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.979 * [taylor]: Taking taylor expansion of n in f 5.979 * [backup-simplify]: Simplify n into n 5.979 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.979 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.979 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.979 * [taylor]: Taking taylor expansion of f in f 5.979 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify 1 into 1 5.979 * [backup-simplify]: Simplify (/ 1 1) into 1 5.979 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.980 * [taylor]: Taking taylor expansion of n in f 5.980 * [backup-simplify]: Simplify n into n 5.980 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.980 * [backup-simplify]: Simplify (+ 1 0) into 1 5.980 * [backup-simplify]: Simplify (+ 1 0) into 1 5.981 * [backup-simplify]: Simplify (/ 1 1) into 1 5.981 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 5.981 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.981 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.981 * [taylor]: Taking taylor expansion of f in f 5.981 * [backup-simplify]: Simplify 0 into 0 5.981 * [backup-simplify]: Simplify 1 into 1 5.981 * [backup-simplify]: Simplify (/ 1 1) into 1 5.981 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.981 * [taylor]: Taking taylor expansion of n in f 5.982 * [backup-simplify]: Simplify n into n 5.982 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.982 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.982 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.982 * [taylor]: Taking taylor expansion of f in f 5.982 * [backup-simplify]: Simplify 0 into 0 5.982 * [backup-simplify]: Simplify 1 into 1 5.982 * [backup-simplify]: Simplify (/ 1 1) into 1 5.982 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.982 * [taylor]: Taking taylor expansion of n in f 5.982 * [backup-simplify]: Simplify n into n 5.982 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.983 * [backup-simplify]: Simplify (+ 1 0) into 1 5.983 * [backup-simplify]: Simplify (+ 1 0) into 1 5.984 * [backup-simplify]: Simplify (/ 1 1) into 1 5.984 * [taylor]: Taking taylor expansion of 1 in n 5.984 * [backup-simplify]: Simplify 1 into 1 5.984 * [backup-simplify]: Simplify 1 into 1 5.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.985 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.985 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.986 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.986 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 5.986 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.986 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.986 * [taylor]: Taking taylor expansion of 2 in n 5.986 * [backup-simplify]: Simplify 2 into 2 5.986 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.986 * [taylor]: Taking taylor expansion of n in n 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify 1 into 1 5.987 * [backup-simplify]: Simplify (/ 1 1) into 1 5.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.988 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.989 * [backup-simplify]: Simplify (- 0) into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.990 * [backup-simplify]: Simplify (- 0) into 0 5.991 * [backup-simplify]: Simplify (+ 0 0) into 0 5.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.992 * [backup-simplify]: Simplify (+ 0 0) into 0 5.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 5.994 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.994 * [taylor]: Taking taylor expansion of 2 in n 5.994 * [backup-simplify]: Simplify 2 into 2 5.994 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.994 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.994 * [taylor]: Taking taylor expansion of n in n 5.994 * [backup-simplify]: Simplify 0 into 0 5.994 * [backup-simplify]: Simplify 1 into 1 5.994 * [backup-simplify]: Simplify (* 1 1) into 1 5.995 * [backup-simplify]: Simplify (/ 1 1) into 1 5.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.999 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.001 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.002 * [backup-simplify]: Simplify (- 0) into 0 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.003 * [backup-simplify]: Simplify (- 0) into 0 6.004 * [backup-simplify]: Simplify (+ 0 0) into 0 6.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.005 * [backup-simplify]: Simplify (+ 0 0) into 0 6.007 * [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)))) 6.007 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.007 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.007 * [taylor]: Taking taylor expansion of 2 in n 6.007 * [backup-simplify]: Simplify 2 into 2 6.007 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.007 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.007 * [taylor]: Taking taylor expansion of n in n 6.007 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify 1 into 1 6.008 * [backup-simplify]: Simplify (* 1 1) into 1 6.008 * [backup-simplify]: Simplify (* 1 1) into 1 6.009 * [backup-simplify]: Simplify (/ 1 1) into 1 6.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.018 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.018 * [backup-simplify]: Simplify (- 0) into 0 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify 1 into 1 6.019 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 6.019 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 6.019 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 6.019 * [taylor]: Taking taylor expansion of -1 in n 6.019 * [backup-simplify]: Simplify -1 into -1 6.019 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 6.019 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.019 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.019 * [taylor]: Taking taylor expansion of n in n 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify 1 into 1 6.019 * [backup-simplify]: Simplify (/ 1 1) into 1 6.019 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.019 * [taylor]: Taking taylor expansion of f in n 6.019 * [backup-simplify]: Simplify f into f 6.020 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.020 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.020 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.020 * [taylor]: Taking taylor expansion of f in n 6.020 * [backup-simplify]: Simplify f into f 6.020 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.020 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.020 * [taylor]: Taking taylor expansion of n in n 6.020 * [backup-simplify]: Simplify 0 into 0 6.020 * [backup-simplify]: Simplify 1 into 1 6.020 * [backup-simplify]: Simplify (/ 1 1) into 1 6.021 * [backup-simplify]: Simplify (+ 1 0) into 1 6.021 * [backup-simplify]: Simplify (+ 0 1) into 1 6.021 * [backup-simplify]: Simplify (/ 1 1) into 1 6.022 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 6.022 * [taylor]: Taking taylor expansion of -1 in f 6.022 * [backup-simplify]: Simplify -1 into -1 6.022 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 6.022 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.022 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.022 * [taylor]: Taking taylor expansion of n in f 6.022 * [backup-simplify]: Simplify n into n 6.022 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.022 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.022 * [taylor]: Taking taylor expansion of f in f 6.022 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify 1 into 1 6.022 * [backup-simplify]: Simplify (/ 1 1) into 1 6.022 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.022 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.022 * [taylor]: Taking taylor expansion of f in f 6.022 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify 1 into 1 6.023 * [backup-simplify]: Simplify (/ 1 1) into 1 6.023 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.023 * [taylor]: Taking taylor expansion of n in f 6.023 * [backup-simplify]: Simplify n into n 6.023 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.023 * [backup-simplify]: Simplify (- 1) into -1 6.024 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.024 * [backup-simplify]: Simplify (+ 1 0) into 1 6.024 * [backup-simplify]: Simplify (/ -1 1) into -1 6.024 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 6.024 * [taylor]: Taking taylor expansion of -1 in f 6.024 * [backup-simplify]: Simplify -1 into -1 6.024 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 6.024 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.024 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.024 * [taylor]: Taking taylor expansion of n in f 6.024 * [backup-simplify]: Simplify n into n 6.024 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.024 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.024 * [taylor]: Taking taylor expansion of f in f 6.024 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify 1 into 1 6.025 * [backup-simplify]: Simplify (/ 1 1) into 1 6.025 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.025 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.025 * [taylor]: Taking taylor expansion of f in f 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * [backup-simplify]: Simplify 1 into 1 6.025 * [backup-simplify]: Simplify (/ 1 1) into 1 6.025 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.025 * [taylor]: Taking taylor expansion of n in f 6.025 * [backup-simplify]: Simplify n into n 6.025 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.025 * [backup-simplify]: Simplify (- 1) into -1 6.026 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.026 * [backup-simplify]: Simplify (+ 1 0) into 1 6.026 * [backup-simplify]: Simplify (/ -1 1) into -1 6.026 * [backup-simplify]: Simplify (* -1 -1) into 1 6.026 * [taylor]: Taking taylor expansion of 1 in n 6.026 * [backup-simplify]: Simplify 1 into 1 6.026 * [backup-simplify]: Simplify 1 into 1 6.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.027 * [backup-simplify]: Simplify (- 0) into 0 6.027 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.028 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.028 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 6.028 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 6.028 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.028 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.028 * [taylor]: Taking taylor expansion of 2 in n 6.028 * [backup-simplify]: Simplify 2 into 2 6.028 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.028 * [taylor]: Taking taylor expansion of n in n 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 1 into 1 6.029 * [backup-simplify]: Simplify (/ 1 1) into 1 6.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.029 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.030 * [backup-simplify]: Simplify (- 0) into 0 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.031 * [backup-simplify]: Simplify (- 0) into 0 6.031 * [backup-simplify]: Simplify (+ 0 0) into 0 6.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.032 * [backup-simplify]: Simplify (+ 0 0) into 0 6.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.033 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.033 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.033 * [taylor]: Taking taylor expansion of 2 in n 6.033 * [backup-simplify]: Simplify 2 into 2 6.033 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.033 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.033 * [taylor]: Taking taylor expansion of n in n 6.033 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify 1 into 1 6.033 * [backup-simplify]: Simplify (* 1 1) into 1 6.034 * [backup-simplify]: Simplify (/ 1 1) into 1 6.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.036 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.036 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.037 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.038 * [backup-simplify]: Simplify (- 0) into 0 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.039 * [backup-simplify]: Simplify (- 0) into 0 6.039 * [backup-simplify]: Simplify (+ 0 0) into 0 6.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.040 * [backup-simplify]: Simplify (+ 0 0) into 0 6.041 * [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))) 6.042 * [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)))) 6.042 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.042 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.042 * [taylor]: Taking taylor expansion of 2 in n 6.042 * [backup-simplify]: Simplify 2 into 2 6.042 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.042 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.042 * [taylor]: Taking taylor expansion of n in n 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 1 into 1 6.042 * [backup-simplify]: Simplify (* 1 1) into 1 6.042 * [backup-simplify]: Simplify (* 1 1) into 1 6.043 * [backup-simplify]: Simplify (/ 1 1) into 1 6.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.052 * [backup-simplify]: Simplify (- 0) into 0 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify 1 into 1 6.052 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 6.052 * [backup-simplify]: Simplify (log (exp (/ (- f n) (+ f n)))) into (/ (- f n) (+ n f)) 6.052 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 6.052 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 6.052 * [taylor]: Taking taylor expansion of (- f n) in n 6.052 * [taylor]: Taking taylor expansion of f in n 6.052 * [backup-simplify]: Simplify f into f 6.052 * [taylor]: Taking taylor expansion of n in n 6.053 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify 1 into 1 6.053 * [taylor]: Taking taylor expansion of (+ n f) in n 6.053 * [taylor]: Taking taylor expansion of n in n 6.053 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify 1 into 1 6.053 * [taylor]: Taking taylor expansion of f in n 6.053 * [backup-simplify]: Simplify f into f 6.053 * [backup-simplify]: Simplify (- 0) into 0 6.053 * [backup-simplify]: Simplify (+ f 0) into f 6.053 * [backup-simplify]: Simplify (+ 0 f) into f 6.053 * [backup-simplify]: Simplify (/ f f) into 1 6.053 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 6.053 * [taylor]: Taking taylor expansion of (- f n) in f 6.053 * [taylor]: Taking taylor expansion of f in f 6.053 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify 1 into 1 6.053 * [taylor]: Taking taylor expansion of n in f 6.053 * [backup-simplify]: Simplify n into n 6.053 * [taylor]: Taking taylor expansion of (+ n f) in f 6.053 * [taylor]: Taking taylor expansion of n in f 6.053 * [backup-simplify]: Simplify n into n 6.053 * [taylor]: Taking taylor expansion of f in f 6.053 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify 1 into 1 6.054 * [backup-simplify]: Simplify (- n) into (- n) 6.054 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.054 * [backup-simplify]: Simplify (+ n 0) into n 6.054 * [backup-simplify]: Simplify (/ (- n) n) into -1 6.054 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 6.054 * [taylor]: Taking taylor expansion of (- f n) in f 6.054 * [taylor]: Taking taylor expansion of f in f 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify 1 into 1 6.054 * [taylor]: Taking taylor expansion of n in f 6.054 * [backup-simplify]: Simplify n into n 6.054 * [taylor]: Taking taylor expansion of (+ n f) in f 6.054 * [taylor]: Taking taylor expansion of n in f 6.054 * [backup-simplify]: Simplify n into n 6.054 * [taylor]: Taking taylor expansion of f in f 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify 1 into 1 6.054 * [backup-simplify]: Simplify (- n) into (- n) 6.054 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.054 * [backup-simplify]: Simplify (+ n 0) into n 6.054 * [backup-simplify]: Simplify (/ (- n) n) into -1 6.054 * [taylor]: Taking taylor expansion of -1 in n 6.054 * [backup-simplify]: Simplify -1 into -1 6.054 * [backup-simplify]: Simplify -1 into -1 6.055 * [backup-simplify]: Simplify (- 0) into 0 6.055 * [backup-simplify]: Simplify (+ 1 0) into 1 6.055 * [backup-simplify]: Simplify (+ 0 1) into 1 6.056 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 6.056 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.056 * [taylor]: Taking taylor expansion of 2 in n 6.056 * [backup-simplify]: Simplify 2 into 2 6.056 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.056 * [taylor]: Taking taylor expansion of n in n 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify 1 into 1 6.056 * [backup-simplify]: Simplify (/ 1 1) into 1 6.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.058 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify (- 0) into 0 6.058 * [backup-simplify]: Simplify (+ 0 0) into 0 6.059 * [backup-simplify]: Simplify (+ 0 0) into 0 6.059 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 6.059 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.059 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.059 * [taylor]: Taking taylor expansion of 2 in n 6.059 * [backup-simplify]: Simplify 2 into 2 6.059 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.059 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.059 * [taylor]: Taking taylor expansion of n in n 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify 1 into 1 6.060 * [backup-simplify]: Simplify (* 1 1) into 1 6.060 * [backup-simplify]: Simplify (/ 1 1) into 1 6.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.065 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.065 * [backup-simplify]: Simplify (- 0) into 0 6.065 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.067 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.067 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify (- 0) into 0 6.068 * [backup-simplify]: Simplify (+ 0 0) into 0 6.069 * [backup-simplify]: Simplify (+ 0 0) into 0 6.069 * [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))) 6.069 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.069 * [taylor]: Taking taylor expansion of 2 in n 6.069 * [backup-simplify]: Simplify 2 into 2 6.069 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.069 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.069 * [taylor]: Taking taylor expansion of n in n 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 1 into 1 6.070 * [backup-simplify]: Simplify (* 1 1) into 1 6.070 * [backup-simplify]: Simplify (* 1 1) into 1 6.071 * [backup-simplify]: Simplify (/ 1 1) into 1 6.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.080 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify -1 into -1 6.081 * [backup-simplify]: Simplify (log (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 6.081 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 6.081 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 6.081 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.081 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.081 * [taylor]: Taking taylor expansion of f in n 6.081 * [backup-simplify]: Simplify f into f 6.081 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.081 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.081 * [taylor]: Taking taylor expansion of n in n 6.081 * [backup-simplify]: Simplify 0 into 0 6.081 * [backup-simplify]: Simplify 1 into 1 6.082 * [backup-simplify]: Simplify (/ 1 1) into 1 6.082 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.082 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.082 * [taylor]: Taking taylor expansion of f in n 6.082 * [backup-simplify]: Simplify f into f 6.082 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.082 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.082 * [taylor]: Taking taylor expansion of n in n 6.082 * [backup-simplify]: Simplify 0 into 0 6.082 * [backup-simplify]: Simplify 1 into 1 6.082 * [backup-simplify]: Simplify (/ 1 1) into 1 6.083 * [backup-simplify]: Simplify (- 1) into -1 6.083 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.084 * [backup-simplify]: Simplify (+ 0 1) into 1 6.084 * [backup-simplify]: Simplify (/ -1 1) into -1 6.084 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 6.084 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.084 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.084 * [taylor]: Taking taylor expansion of f in f 6.084 * [backup-simplify]: Simplify 0 into 0 6.084 * [backup-simplify]: Simplify 1 into 1 6.085 * [backup-simplify]: Simplify (/ 1 1) into 1 6.085 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.085 * [taylor]: Taking taylor expansion of n in f 6.085 * [backup-simplify]: Simplify n into n 6.085 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.085 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.085 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.085 * [taylor]: Taking taylor expansion of f in f 6.085 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify 1 into 1 6.085 * [backup-simplify]: Simplify (/ 1 1) into 1 6.085 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.085 * [taylor]: Taking taylor expansion of n in f 6.085 * [backup-simplify]: Simplify n into n 6.086 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.086 * [backup-simplify]: Simplify (+ 1 0) into 1 6.086 * [backup-simplify]: Simplify (+ 1 0) into 1 6.087 * [backup-simplify]: Simplify (/ 1 1) into 1 6.087 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 6.087 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.087 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.087 * [taylor]: Taking taylor expansion of f in f 6.087 * [backup-simplify]: Simplify 0 into 0 6.087 * [backup-simplify]: Simplify 1 into 1 6.087 * [backup-simplify]: Simplify (/ 1 1) into 1 6.087 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.087 * [taylor]: Taking taylor expansion of n in f 6.087 * [backup-simplify]: Simplify n into n 6.088 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.088 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.088 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.088 * [taylor]: Taking taylor expansion of f in f 6.088 * [backup-simplify]: Simplify 0 into 0 6.088 * [backup-simplify]: Simplify 1 into 1 6.088 * [backup-simplify]: Simplify (/ 1 1) into 1 6.088 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.088 * [taylor]: Taking taylor expansion of n in f 6.088 * [backup-simplify]: Simplify n into n 6.088 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.089 * [backup-simplify]: Simplify (+ 1 0) into 1 6.089 * [backup-simplify]: Simplify (+ 1 0) into 1 6.090 * [backup-simplify]: Simplify (/ 1 1) into 1 6.090 * [taylor]: Taking taylor expansion of 1 in n 6.090 * [backup-simplify]: Simplify 1 into 1 6.090 * [backup-simplify]: Simplify 1 into 1 6.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.091 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.091 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.092 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.092 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 6.092 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.092 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.092 * [taylor]: Taking taylor expansion of 2 in n 6.092 * [backup-simplify]: Simplify 2 into 2 6.092 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.092 * [taylor]: Taking taylor expansion of n in n 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.093 * [backup-simplify]: Simplify (/ 1 1) into 1 6.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.095 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.095 * [backup-simplify]: Simplify (- 0) into 0 6.095 * [backup-simplify]: Simplify 0 into 0 6.096 * [backup-simplify]: Simplify 0 into 0 6.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.097 * [backup-simplify]: Simplify (- 0) into 0 6.098 * [backup-simplify]: Simplify (+ 0 0) into 0 6.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.099 * [backup-simplify]: Simplify (+ 0 0) into 0 6.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 6.100 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.100 * [taylor]: Taking taylor expansion of 2 in n 6.100 * [backup-simplify]: Simplify 2 into 2 6.101 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.101 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.101 * [taylor]: Taking taylor expansion of n in n 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify 1 into 1 6.101 * [backup-simplify]: Simplify (* 1 1) into 1 6.101 * [backup-simplify]: Simplify (/ 1 1) into 1 6.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.106 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.106 * [backup-simplify]: Simplify 0 into 0 6.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.108 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.108 * [backup-simplify]: Simplify (- 0) into 0 6.109 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify 0 into 0 6.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.110 * [backup-simplify]: Simplify (- 0) into 0 6.111 * [backup-simplify]: Simplify (+ 0 0) into 0 6.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.112 * [backup-simplify]: Simplify (+ 0 0) into 0 6.114 * [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)))) 6.114 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.114 * [taylor]: Taking taylor expansion of 2 in n 6.114 * [backup-simplify]: Simplify 2 into 2 6.114 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.114 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.114 * [taylor]: Taking taylor expansion of n in n 6.114 * [backup-simplify]: Simplify 0 into 0 6.114 * [backup-simplify]: Simplify 1 into 1 6.115 * [backup-simplify]: Simplify (* 1 1) into 1 6.115 * [backup-simplify]: Simplify (* 1 1) into 1 6.115 * [backup-simplify]: Simplify (/ 1 1) into 1 6.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.125 * [backup-simplify]: Simplify (- 0) into 0 6.125 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify 1 into 1 6.126 * [backup-simplify]: Simplify (log (exp (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 6.126 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 6.126 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 6.126 * [taylor]: Taking taylor expansion of -1 in n 6.126 * [backup-simplify]: Simplify -1 into -1 6.126 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 6.126 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.126 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.126 * [taylor]: Taking taylor expansion of n in n 6.126 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify 1 into 1 6.126 * [backup-simplify]: Simplify (/ 1 1) into 1 6.126 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.126 * [taylor]: Taking taylor expansion of f in n 6.127 * [backup-simplify]: Simplify f into f 6.127 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.127 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.127 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.127 * [taylor]: Taking taylor expansion of f in n 6.127 * [backup-simplify]: Simplify f into f 6.127 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.127 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.127 * [taylor]: Taking taylor expansion of n in n 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 1 into 1 6.127 * [backup-simplify]: Simplify (/ 1 1) into 1 6.128 * [backup-simplify]: Simplify (+ 1 0) into 1 6.128 * [backup-simplify]: Simplify (+ 0 1) into 1 6.129 * [backup-simplify]: Simplify (/ 1 1) into 1 6.129 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 6.129 * [taylor]: Taking taylor expansion of -1 in f 6.129 * [backup-simplify]: Simplify -1 into -1 6.129 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 6.129 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.129 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.129 * [taylor]: Taking taylor expansion of n in f 6.129 * [backup-simplify]: Simplify n into n 6.129 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.129 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.129 * [taylor]: Taking taylor expansion of f in f 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 1 into 1 6.129 * [backup-simplify]: Simplify (/ 1 1) into 1 6.129 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.130 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.130 * [taylor]: Taking taylor expansion of f in f 6.130 * [backup-simplify]: Simplify 0 into 0 6.130 * [backup-simplify]: Simplify 1 into 1 6.130 * [backup-simplify]: Simplify (/ 1 1) into 1 6.130 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.130 * [taylor]: Taking taylor expansion of n in f 6.130 * [backup-simplify]: Simplify n into n 6.130 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.131 * [backup-simplify]: Simplify (- 1) into -1 6.131 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.131 * [backup-simplify]: Simplify (+ 1 0) into 1 6.132 * [backup-simplify]: Simplify (/ -1 1) into -1 6.132 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 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 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 6.132 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.132 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.132 * [taylor]: Taking taylor expansion of n in f 6.132 * [backup-simplify]: Simplify n into n 6.132 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.132 * [taylor]: Taking taylor expansion of (/ 1 f) 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 6.133 * [backup-simplify]: Simplify (/ 1 1) into 1 6.133 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.133 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.133 * [taylor]: Taking taylor expansion of f in f 6.133 * [backup-simplify]: Simplify 0 into 0 6.133 * [backup-simplify]: Simplify 1 into 1 6.133 * [backup-simplify]: Simplify (/ 1 1) into 1 6.133 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.133 * [taylor]: Taking taylor expansion of n in f 6.133 * [backup-simplify]: Simplify n into n 6.133 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.134 * [backup-simplify]: Simplify (- 1) into -1 6.134 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.135 * [backup-simplify]: Simplify (+ 1 0) into 1 6.135 * [backup-simplify]: Simplify (/ -1 1) into -1 6.136 * [backup-simplify]: Simplify (* -1 -1) into 1 6.136 * [taylor]: Taking taylor expansion of 1 in n 6.136 * [backup-simplify]: Simplify 1 into 1 6.136 * [backup-simplify]: Simplify 1 into 1 6.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.137 * [backup-simplify]: Simplify (- 0) into 0 6.137 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.138 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.138 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 6.139 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 6.139 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.139 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.139 * [taylor]: Taking taylor expansion of 2 in n 6.139 * [backup-simplify]: Simplify 2 into 2 6.139 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.139 * [taylor]: Taking taylor expansion of n in n 6.139 * [backup-simplify]: Simplify 0 into 0 6.139 * [backup-simplify]: Simplify 1 into 1 6.139 * [backup-simplify]: Simplify (/ 1 1) into 1 6.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.141 * [backup-simplify]: Simplify (+ (* 2 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 into 0 6.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.143 * [backup-simplify]: Simplify (- 0) into 0 6.143 * [backup-simplify]: Simplify (+ 0 0) into 0 6.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.145 * [backup-simplify]: Simplify (+ 0 0) into 0 6.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.147 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.147 * [taylor]: Taking taylor expansion of 2 in n 6.147 * [backup-simplify]: Simplify 2 into 2 6.147 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.147 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.147 * [taylor]: Taking taylor expansion of n in n 6.147 * [backup-simplify]: Simplify 0 into 0 6.147 * [backup-simplify]: Simplify 1 into 1 6.147 * [backup-simplify]: Simplify (* 1 1) into 1 6.148 * [backup-simplify]: Simplify (/ 1 1) into 1 6.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.152 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.152 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.154 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.155 * [backup-simplify]: Simplify (- 0) into 0 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.156 * [backup-simplify]: Simplify (- 0) into 0 6.157 * [backup-simplify]: Simplify (+ 0 0) into 0 6.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.159 * [backup-simplify]: Simplify (+ 0 0) into 0 6.160 * [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))) 6.161 * [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)))) 6.161 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.161 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.161 * [taylor]: Taking taylor expansion of 2 in n 6.161 * [backup-simplify]: Simplify 2 into 2 6.161 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.161 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.161 * [taylor]: Taking taylor expansion of n in n 6.161 * [backup-simplify]: Simplify 0 into 0 6.161 * [backup-simplify]: Simplify 1 into 1 6.161 * [backup-simplify]: Simplify (* 1 1) into 1 6.161 * [backup-simplify]: Simplify (* 1 1) into 1 6.161 * [backup-simplify]: Simplify (/ 1 1) into 1 6.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.167 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.167 * [backup-simplify]: Simplify (- 0) into 0 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify 1 into 1 6.167 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.167 * [backup-simplify]: Simplify (/ -1 (log (exp (/ (- f n) (+ f n))))) into (* -1 (/ (+ n f) (- f n))) 6.167 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.167 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.167 * [taylor]: Taking taylor expansion of -1 in n 6.167 * [backup-simplify]: Simplify -1 into -1 6.167 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.167 * [taylor]: Taking taylor expansion of (+ n f) in n 6.167 * [taylor]: Taking taylor expansion of n in n 6.167 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify 1 into 1 6.168 * [taylor]: Taking taylor expansion of f in n 6.168 * [backup-simplify]: Simplify f into f 6.168 * [taylor]: Taking taylor expansion of (- f n) in n 6.168 * [taylor]: Taking taylor expansion of f in n 6.168 * [backup-simplify]: Simplify f into f 6.168 * [taylor]: Taking taylor expansion of n in n 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify 1 into 1 6.168 * [backup-simplify]: Simplify (+ 0 f) into f 6.168 * [backup-simplify]: Simplify (- 0) into 0 6.168 * [backup-simplify]: Simplify (+ f 0) into f 6.168 * [backup-simplify]: Simplify (/ f f) into 1 6.168 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.168 * [taylor]: Taking taylor expansion of -1 in f 6.168 * [backup-simplify]: Simplify -1 into -1 6.168 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.168 * [taylor]: Taking taylor expansion of (+ n f) in f 6.168 * [taylor]: Taking taylor expansion of n in f 6.168 * [backup-simplify]: Simplify n into n 6.168 * [taylor]: Taking taylor expansion of f in f 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify 1 into 1 6.168 * [taylor]: Taking taylor expansion of (- f n) in f 6.168 * [taylor]: Taking taylor expansion of f in f 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify 1 into 1 6.168 * [taylor]: Taking taylor expansion of n in f 6.168 * [backup-simplify]: Simplify n into n 6.168 * [backup-simplify]: Simplify (+ n 0) into n 6.168 * [backup-simplify]: Simplify (- n) into (- n) 6.168 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.168 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.168 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.168 * [taylor]: Taking taylor expansion of -1 in f 6.168 * [backup-simplify]: Simplify -1 into -1 6.168 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.168 * [taylor]: Taking taylor expansion of (+ n f) in f 6.168 * [taylor]: Taking taylor expansion of n in f 6.168 * [backup-simplify]: Simplify n into n 6.168 * [taylor]: Taking taylor expansion of f in f 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify 1 into 1 6.168 * [taylor]: Taking taylor expansion of (- f n) in f 6.168 * [taylor]: Taking taylor expansion of f in f 6.169 * [backup-simplify]: Simplify 0 into 0 6.169 * [backup-simplify]: Simplify 1 into 1 6.169 * [taylor]: Taking taylor expansion of n in f 6.169 * [backup-simplify]: Simplify n into n 6.169 * [backup-simplify]: Simplify (+ n 0) into n 6.169 * [backup-simplify]: Simplify (- n) into (- n) 6.169 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.169 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.169 * [backup-simplify]: Simplify (* -1 -1) into 1 6.169 * [taylor]: Taking taylor expansion of 1 in n 6.169 * [backup-simplify]: Simplify 1 into 1 6.169 * [backup-simplify]: Simplify 1 into 1 6.169 * [backup-simplify]: Simplify (+ 0 1) into 1 6.170 * [backup-simplify]: Simplify (- 0) into 0 6.170 * [backup-simplify]: Simplify (+ 1 0) into 1 6.170 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.170 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.170 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.170 * [taylor]: Taking taylor expansion of 2 in n 6.170 * [backup-simplify]: Simplify 2 into 2 6.170 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.170 * [taylor]: Taking taylor expansion of n in n 6.170 * [backup-simplify]: Simplify 0 into 0 6.170 * [backup-simplify]: Simplify 1 into 1 6.171 * [backup-simplify]: Simplify (/ 1 1) into 1 6.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.172 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify (+ 0 0) into 0 6.172 * [backup-simplify]: Simplify (- 0) into 0 6.172 * [backup-simplify]: Simplify (+ 0 0) into 0 6.173 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.173 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.173 * [taylor]: Taking taylor expansion of 2 in n 6.173 * [backup-simplify]: Simplify 2 into 2 6.173 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.173 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.173 * [taylor]: Taking taylor expansion of n in n 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify 1 into 1 6.174 * [backup-simplify]: Simplify (* 1 1) into 1 6.174 * [backup-simplify]: Simplify (/ 1 1) into 1 6.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.176 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.176 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.177 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.177 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify 0 into 0 6.178 * [backup-simplify]: Simplify (+ 0 0) into 0 6.178 * [backup-simplify]: Simplify (- 0) into 0 6.178 * [backup-simplify]: Simplify (+ 0 0) into 0 6.179 * [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)))) 6.179 * [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 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 6.180 * [backup-simplify]: Simplify (* 1 1) into 1 6.180 * [backup-simplify]: Simplify (* 1 1) into 1 6.181 * [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 6.185 * [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 6.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.187 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.187 * [backup-simplify]: Simplify 0 into 0 6.187 * [backup-simplify]: Simplify 1 into 1 6.188 * [backup-simplify]: Simplify (/ -1 (log (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.188 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.188 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.188 * [taylor]: Taking taylor expansion of -1 in n 6.188 * [backup-simplify]: Simplify -1 into -1 6.188 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.188 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.188 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.188 * [taylor]: Taking taylor expansion of f in n 6.188 * [backup-simplify]: Simplify f into f 6.188 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.188 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.188 * [taylor]: Taking taylor expansion of n in n 6.188 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify 1 into 1 6.189 * [backup-simplify]: Simplify (/ 1 1) into 1 6.189 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.189 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.189 * [taylor]: Taking taylor expansion of f in n 6.189 * [backup-simplify]: Simplify f into f 6.189 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.189 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.189 * [taylor]: Taking taylor expansion of n in n 6.189 * [backup-simplify]: Simplify 0 into 0 6.189 * [backup-simplify]: Simplify 1 into 1 6.189 * [backup-simplify]: Simplify (/ 1 1) into 1 6.190 * [backup-simplify]: Simplify (+ 0 1) into 1 6.190 * [backup-simplify]: Simplify (- 1) into -1 6.191 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.191 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.191 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.191 * [taylor]: Taking taylor expansion of -1 in f 6.191 * [backup-simplify]: Simplify -1 into -1 6.191 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.191 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.191 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.191 * [taylor]: Taking taylor expansion of f in f 6.191 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify 1 into 1 6.192 * [backup-simplify]: Simplify (/ 1 1) into 1 6.192 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.192 * [taylor]: Taking taylor expansion of n in f 6.192 * [backup-simplify]: Simplify n into n 6.192 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.192 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.192 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.192 * [taylor]: Taking taylor expansion of f in f 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify 1 into 1 6.192 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1 6.194 * [backup-simplify]: Simplify (+ 1 0) into 1 6.194 * [backup-simplify]: Simplify (/ 1 1) into 1 6.194 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.194 * [taylor]: Taking taylor expansion of -1 in f 6.194 * [backup-simplify]: Simplify -1 into -1 6.194 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.194 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.194 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.194 * [taylor]: Taking taylor expansion of f in f 6.194 * [backup-simplify]: Simplify 0 into 0 6.194 * [backup-simplify]: Simplify 1 into 1 6.195 * [backup-simplify]: Simplify (/ 1 1) into 1 6.195 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.195 * [taylor]: Taking taylor expansion of n in f 6.195 * [backup-simplify]: Simplify n into n 6.195 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.195 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.195 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.195 * [taylor]: Taking taylor expansion of f in f 6.195 * [backup-simplify]: Simplify 0 into 0 6.195 * [backup-simplify]: Simplify 1 into 1 6.195 * [backup-simplify]: Simplify (/ 1 1) into 1 6.195 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.195 * [taylor]: Taking taylor expansion of n in f 6.195 * [backup-simplify]: Simplify n into n 6.195 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.196 * [backup-simplify]: Simplify (+ 1 0) into 1 6.196 * [backup-simplify]: Simplify (+ 1 0) into 1 6.197 * [backup-simplify]: Simplify (/ 1 1) into 1 6.197 * [backup-simplify]: Simplify (* -1 1) into -1 6.197 * [taylor]: Taking taylor expansion of -1 in n 6.197 * [backup-simplify]: Simplify -1 into -1 6.197 * [backup-simplify]: Simplify -1 into -1 6.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.198 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.199 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.199 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.200 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.200 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.200 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.200 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.200 * [taylor]: Taking taylor expansion of 2 in n 6.200 * [backup-simplify]: Simplify 2 into 2 6.200 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.200 * [taylor]: Taking taylor expansion of n in n 6.200 * [backup-simplify]: Simplify 0 into 0 6.200 * [backup-simplify]: Simplify 1 into 1 6.201 * [backup-simplify]: Simplify (/ 1 1) into 1 6.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.202 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.203 * [backup-simplify]: Simplify (- 0) into 0 6.203 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.204 * [backup-simplify]: Simplify (+ 0 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) into 0 6.206 * [backup-simplify]: Simplify (+ 0 0) into 0 6.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.208 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.208 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.208 * [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 6.209 * [backup-simplify]: Simplify (* 1 1) into 1 6.209 * [backup-simplify]: Simplify (/ 1 1) into 1 6.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.211 * [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 6.214 * [backup-simplify]: Simplify (- 0) into 0 6.214 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.216 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.217 * [backup-simplify]: Simplify (- 0) into 0 6.217 * [backup-simplify]: Simplify 0 into 0 6.217 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.218 * [backup-simplify]: Simplify (+ 0 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) into 0 6.220 * [backup-simplify]: Simplify (+ 0 0) into 0 6.221 * [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))) 6.222 * [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)))) 6.222 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.222 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.222 * [taylor]: Taking taylor expansion of 2 in n 6.222 * [backup-simplify]: Simplify 2 into 2 6.222 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.222 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.222 * [taylor]: Taking taylor expansion of n in n 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify 1 into 1 6.222 * [backup-simplify]: Simplify (* 1 1) into 1 6.222 * [backup-simplify]: Simplify (* 1 1) into 1 6.223 * [backup-simplify]: Simplify (/ 1 1) into 1 6.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.228 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.228 * [backup-simplify]: Simplify (- 0) into 0 6.228 * [backup-simplify]: Simplify 0 into 0 6.228 * [backup-simplify]: Simplify -1 into -1 6.228 * [backup-simplify]: Simplify (/ -1 (log (exp (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.228 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.228 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.228 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.228 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.228 * [taylor]: Taking taylor expansion of f in n 6.228 * [backup-simplify]: Simplify f into f 6.228 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.228 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.228 * [taylor]: Taking taylor expansion of n in n 6.228 * [backup-simplify]: Simplify 0 into 0 6.228 * [backup-simplify]: Simplify 1 into 1 6.229 * [backup-simplify]: Simplify (/ 1 1) into 1 6.229 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.229 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.229 * [taylor]: Taking taylor expansion of n in n 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify 1 into 1 6.229 * [backup-simplify]: Simplify (/ 1 1) into 1 6.229 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.229 * [taylor]: Taking taylor expansion of f in n 6.229 * [backup-simplify]: Simplify f into f 6.229 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.229 * [backup-simplify]: Simplify (+ 0 1) into 1 6.230 * [backup-simplify]: Simplify (+ 1 0) into 1 6.230 * [backup-simplify]: Simplify (/ 1 1) into 1 6.230 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.230 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.230 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.230 * [taylor]: Taking taylor expansion of f in f 6.230 * [backup-simplify]: Simplify 0 into 0 6.230 * [backup-simplify]: Simplify 1 into 1 6.230 * [backup-simplify]: Simplify (/ 1 1) into 1 6.230 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.230 * [taylor]: Taking taylor expansion of n in f 6.230 * [backup-simplify]: Simplify n into n 6.230 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.230 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.230 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.230 * [taylor]: Taking taylor expansion of n in f 6.230 * [backup-simplify]: Simplify n into n 6.230 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.230 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.230 * [taylor]: Taking taylor expansion of f in f 6.230 * [backup-simplify]: Simplify 0 into 0 6.230 * [backup-simplify]: Simplify 1 into 1 6.231 * [backup-simplify]: Simplify (/ 1 1) into 1 6.231 * [backup-simplify]: Simplify (+ 1 0) into 1 6.231 * [backup-simplify]: Simplify (- 1) into -1 6.231 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.232 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.232 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.232 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.232 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.232 * [taylor]: Taking taylor expansion of f in f 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 1 into 1 6.232 * [backup-simplify]: Simplify (/ 1 1) into 1 6.232 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.232 * [taylor]: Taking taylor expansion of n in f 6.232 * [backup-simplify]: Simplify n into n 6.232 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.232 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.232 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.232 * [taylor]: Taking taylor expansion of n in f 6.232 * [backup-simplify]: Simplify n into n 6.232 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.232 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.232 * [taylor]: Taking taylor expansion of f in f 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 1 into 1 6.233 * [backup-simplify]: Simplify (/ 1 1) into 1 6.233 * [backup-simplify]: Simplify (+ 1 0) into 1 6.233 * [backup-simplify]: Simplify (- 1) into -1 6.233 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.234 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.234 * [taylor]: Taking taylor expansion of -1 in n 6.234 * [backup-simplify]: Simplify -1 into -1 6.234 * [backup-simplify]: Simplify -1 into -1 6.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.234 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.235 * [backup-simplify]: Simplify (- 0) into 0 6.235 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.235 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.235 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.235 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.235 * [taylor]: Taking taylor expansion of 2 in n 6.235 * [backup-simplify]: Simplify 2 into 2 6.235 * [taylor]: Taking taylor expansion of (/ 1 n) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 6.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.236 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.236 * [backup-simplify]: Simplify (- 0) into 0 6.236 * [backup-simplify]: Simplify 0 into 0 6.237 * [backup-simplify]: Simplify 0 into 0 6.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.237 * [backup-simplify]: Simplify (+ 0 0) into 0 6.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.238 * [backup-simplify]: Simplify (- 0) into 0 6.238 * [backup-simplify]: Simplify (+ 0 0) into 0 6.239 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.239 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.239 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.239 * [taylor]: Taking taylor expansion of 2 in n 6.239 * [backup-simplify]: Simplify 2 into 2 6.239 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.239 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.239 * [taylor]: Taking taylor expansion of n in n 6.239 * [backup-simplify]: Simplify 0 into 0 6.239 * [backup-simplify]: Simplify 1 into 1 6.240 * [backup-simplify]: Simplify (* 1 1) into 1 6.240 * [backup-simplify]: Simplify (/ 1 1) into 1 6.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.244 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.245 * [backup-simplify]: Simplify (- 0) into 0 6.245 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.247 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.247 * [backup-simplify]: Simplify (- 0) into 0 6.247 * [backup-simplify]: Simplify 0 into 0 6.247 * [backup-simplify]: Simplify 0 into 0 6.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.249 * [backup-simplify]: Simplify (+ 0 0) into 0 6.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.251 * [backup-simplify]: Simplify (- 0) into 0 6.251 * [backup-simplify]: Simplify (+ 0 0) into 0 6.253 * [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)))) 6.253 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.253 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.253 * [taylor]: Taking taylor expansion of 2 in n 6.253 * [backup-simplify]: Simplify 2 into 2 6.253 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.253 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.253 * [taylor]: Taking taylor expansion of n in n 6.253 * [backup-simplify]: Simplify 0 into 0 6.253 * [backup-simplify]: Simplify 1 into 1 6.254 * [backup-simplify]: Simplify (* 1 1) into 1 6.254 * [backup-simplify]: Simplify (* 1 1) into 1 6.254 * [backup-simplify]: Simplify (/ 1 1) into 1 6.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.263 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.263 * [backup-simplify]: Simplify (- 0) into 0 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify -1 into -1 6.263 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.264 * [backup-simplify]: Simplify (exp (/ (- f n) (+ f n))) into (exp (/ (- f n) (+ n f))) 6.264 * [approximate]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in (f n) around 0 6.264 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in n 6.264 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 6.264 * [taylor]: Taking taylor expansion of (- f n) in n 6.264 * [taylor]: Taking taylor expansion of f in n 6.264 * [backup-simplify]: Simplify f into f 6.264 * [taylor]: Taking taylor expansion of n in n 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify 1 into 1 6.264 * [taylor]: Taking taylor expansion of (+ n f) in n 6.264 * [taylor]: Taking taylor expansion of n in n 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify 1 into 1 6.264 * [taylor]: Taking taylor expansion of f in n 6.264 * [backup-simplify]: Simplify f into f 6.264 * [backup-simplify]: Simplify (- 0) into 0 6.264 * [backup-simplify]: Simplify (+ f 0) into f 6.264 * [backup-simplify]: Simplify (+ 0 f) into f 6.264 * [backup-simplify]: Simplify (/ f f) into 1 6.265 * [backup-simplify]: Simplify (exp 1) into E 6.265 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 6.265 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 6.265 * [taylor]: Taking taylor expansion of (- f n) in f 6.265 * [taylor]: Taking taylor expansion of f in f 6.265 * [backup-simplify]: Simplify 0 into 0 6.265 * [backup-simplify]: Simplify 1 into 1 6.265 * [taylor]: Taking taylor expansion of n in f 6.265 * [backup-simplify]: Simplify n into n 6.265 * [taylor]: Taking taylor expansion of (+ n f) in f 6.265 * [taylor]: Taking taylor expansion of n in f 6.265 * [backup-simplify]: Simplify n into n 6.265 * [taylor]: Taking taylor expansion of f in f 6.265 * [backup-simplify]: Simplify 0 into 0 6.265 * [backup-simplify]: Simplify 1 into 1 6.265 * [backup-simplify]: Simplify (- n) into (- n) 6.265 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.265 * [backup-simplify]: Simplify (+ n 0) into n 6.265 * [backup-simplify]: Simplify (/ (- n) n) into -1 6.266 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.266 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 6.266 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 6.266 * [taylor]: Taking taylor expansion of (- f n) in f 6.266 * [taylor]: Taking taylor expansion of f in f 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify 1 into 1 6.266 * [taylor]: Taking taylor expansion of n in f 6.266 * [backup-simplify]: Simplify n into n 6.266 * [taylor]: Taking taylor expansion of (+ n f) in f 6.266 * [taylor]: Taking taylor expansion of n in f 6.266 * [backup-simplify]: Simplify n into n 6.266 * [taylor]: Taking taylor expansion of f in f 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify 1 into 1 6.266 * [backup-simplify]: Simplify (- n) into (- n) 6.266 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.266 * [backup-simplify]: Simplify (+ n 0) into n 6.266 * [backup-simplify]: Simplify (/ (- n) n) into -1 6.266 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.266 * [taylor]: Taking taylor expansion of (exp -1) in n 6.267 * [taylor]: Taking taylor expansion of -1 in n 6.267 * [backup-simplify]: Simplify -1 into -1 6.267 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.268 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.268 * [backup-simplify]: Simplify (- 0) into 0 6.269 * [backup-simplify]: Simplify (+ 1 0) into 1 6.269 * [backup-simplify]: Simplify (+ 0 1) into 1 6.269 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 6.270 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 6.270 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 6.270 * [taylor]: Taking taylor expansion of 2 in n 6.270 * [backup-simplify]: Simplify 2 into 2 6.270 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 6.270 * [taylor]: Taking taylor expansion of (exp -1) in n 6.270 * [taylor]: Taking taylor expansion of -1 in n 6.270 * [backup-simplify]: Simplify -1 into -1 6.271 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.271 * [taylor]: Taking taylor expansion of n in n 6.271 * [backup-simplify]: Simplify 0 into 0 6.271 * [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 (- 0) into 0 6.276 * [backup-simplify]: Simplify (+ 0 0) into 0 6.276 * [backup-simplify]: Simplify (+ 0 0) into 0 6.276 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 6.277 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 6.277 * [taylor]: Taking taylor expansion of 0 in n 6.277 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.281 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) 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 6.283 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify (- 0) into 0 6.284 * [backup-simplify]: Simplify (+ 0 0) into 0 6.284 * [backup-simplify]: Simplify (+ 0 0) into 0 6.284 * [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))) 6.285 * [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))) 6.285 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp -1) (pow n 3))) in n 6.285 * [taylor]: Taking taylor expansion of -2/3 in n 6.285 * [backup-simplify]: Simplify -2/3 into -2/3 6.285 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 6.285 * [taylor]: Taking taylor expansion of (exp -1) in n 6.285 * [taylor]: Taking taylor expansion of -1 in n 6.285 * [backup-simplify]: Simplify -1 into -1 6.285 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.285 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.285 * [taylor]: Taking taylor expansion of n in n 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify 1 into 1 6.286 * [backup-simplify]: Simplify (* 1 1) into 1 6.286 * [backup-simplify]: Simplify (* 1 1) into 1 6.286 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 6.288 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.290 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 6.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.293 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.296 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 6.296 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.297 * [backup-simplify]: Simplify (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 6.297 * [approximate]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 6.297 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 6.297 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 6.297 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.297 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.297 * [taylor]: Taking taylor expansion of f in n 6.297 * [backup-simplify]: Simplify f into f 6.297 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.297 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.297 * [taylor]: Taking taylor expansion of n in n 6.297 * [backup-simplify]: Simplify 0 into 0 6.297 * [backup-simplify]: Simplify 1 into 1 6.297 * [backup-simplify]: Simplify (/ 1 1) into 1 6.297 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.297 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.297 * [taylor]: Taking taylor expansion of f in n 6.297 * [backup-simplify]: Simplify f into f 6.297 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.297 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.297 * [taylor]: Taking taylor expansion of n in n 6.297 * [backup-simplify]: Simplify 0 into 0 6.297 * [backup-simplify]: Simplify 1 into 1 6.298 * [backup-simplify]: Simplify (/ 1 1) into 1 6.298 * [backup-simplify]: Simplify (- 1) into -1 6.298 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.298 * [backup-simplify]: Simplify (+ 0 1) into 1 6.299 * [backup-simplify]: Simplify (/ -1 1) into -1 6.299 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.299 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 6.299 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 6.299 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.299 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.299 * [taylor]: Taking taylor expansion of f in f 6.299 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify 1 into 1 6.300 * [backup-simplify]: Simplify (/ 1 1) into 1 6.300 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.300 * [taylor]: Taking taylor expansion of n in f 6.300 * [backup-simplify]: Simplify n into n 6.300 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.300 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.300 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.300 * [taylor]: Taking taylor expansion of f in f 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify 1 into 1 6.300 * [backup-simplify]: Simplify (/ 1 1) into 1 6.300 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.300 * [taylor]: Taking taylor expansion of n in f 6.300 * [backup-simplify]: Simplify n into n 6.300 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.300 * [backup-simplify]: Simplify (+ 1 0) into 1 6.301 * [backup-simplify]: Simplify (+ 1 0) into 1 6.301 * [backup-simplify]: Simplify (/ 1 1) into 1 6.301 * [backup-simplify]: Simplify (exp 1) into E 6.301 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 6.301 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 6.301 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.301 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.301 * [taylor]: Taking taylor expansion of f in f 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 1 into 1 6.301 * [backup-simplify]: Simplify (/ 1 1) into 1 6.301 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.301 * [taylor]: Taking taylor expansion of n in f 6.301 * [backup-simplify]: Simplify n into n 6.301 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.301 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.301 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.301 * [taylor]: Taking taylor expansion of f in f 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 1 into 1 6.302 * [backup-simplify]: Simplify (/ 1 1) into 1 6.302 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.302 * [taylor]: Taking taylor expansion of n in f 6.302 * [backup-simplify]: Simplify n into n 6.302 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.302 * [backup-simplify]: Simplify (+ 1 0) into 1 6.304 * [backup-simplify]: Simplify (+ 1 0) into 1 6.304 * [backup-simplify]: Simplify (/ 1 1) into 1 6.304 * [backup-simplify]: Simplify (exp 1) into E 6.304 * [taylor]: Taking taylor expansion of E in n 6.304 * [backup-simplify]: Simplify E into E 6.304 * [backup-simplify]: Simplify E into E 6.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.305 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.305 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.306 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.306 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 6.306 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 6.306 * [taylor]: Taking taylor expansion of (* -2 (/ E n)) in n 6.306 * [taylor]: Taking taylor expansion of -2 in n 6.306 * [backup-simplify]: Simplify -2 into -2 6.306 * [taylor]: Taking taylor expansion of (/ E n) in n 6.306 * [taylor]: Taking taylor expansion of E in n 6.306 * [backup-simplify]: Simplify E into E 6.306 * [taylor]: Taking taylor expansion of n in n 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify 1 into 1 6.306 * [backup-simplify]: Simplify (/ E 1) into E 6.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.307 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 E)) into 0 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.308 * [backup-simplify]: Simplify (- 0) into 0 6.309 * [backup-simplify]: Simplify (+ 0 0) into 0 6.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.309 * [backup-simplify]: Simplify (+ 0 0) into 0 6.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 6.310 * [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))) 6.310 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 6.310 * [taylor]: Taking taylor expansion of 4 in n 6.310 * [backup-simplify]: Simplify 4 into 4 6.310 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 6.311 * [taylor]: Taking taylor expansion of E in n 6.311 * [backup-simplify]: Simplify E into E 6.311 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.311 * [taylor]: Taking taylor expansion of n in n 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 1 into 1 6.311 * [backup-simplify]: Simplify (* 1 1) into 1 6.311 * [backup-simplify]: Simplify (/ E 1) into E 6.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.316 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 6.316 * [backup-simplify]: Simplify 0 into 0 6.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.318 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 E))) into 0 6.318 * [backup-simplify]: Simplify 0 into 0 6.318 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.320 * [backup-simplify]: Simplify (- 0) into 0 6.320 * [backup-simplify]: Simplify (+ 0 0) into 0 6.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.322 * [backup-simplify]: Simplify (+ 0 0) into 0 6.323 * [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)))) 6.324 * [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))) 6.324 * [taylor]: Taking taylor expansion of (* -22/3 (/ E (pow n 3))) in n 6.324 * [taylor]: Taking taylor expansion of -22/3 in n 6.324 * [backup-simplify]: Simplify -22/3 into -22/3 6.324 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 6.324 * [taylor]: Taking taylor expansion of E in n 6.324 * [backup-simplify]: Simplify E into E 6.324 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.325 * [taylor]: Taking taylor expansion of n in n 6.325 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify 1 into 1 6.325 * [backup-simplify]: Simplify (* 1 1) into 1 6.325 * [backup-simplify]: Simplify (* 1 1) into 1 6.326 * [backup-simplify]: Simplify (/ E 1) into E 6.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.332 * [backup-simplify]: Simplify (+ (* -22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 6.332 * [backup-simplify]: Simplify 0 into 0 6.332 * [backup-simplify]: Simplify E into E 6.333 * [backup-simplify]: Simplify (exp (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 6.333 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 6.333 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 6.333 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 6.333 * [taylor]: Taking taylor expansion of -1 in n 6.333 * [backup-simplify]: Simplify -1 into -1 6.333 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 6.333 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.333 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.333 * [taylor]: Taking taylor expansion of n in n 6.333 * [backup-simplify]: Simplify 0 into 0 6.333 * [backup-simplify]: Simplify 1 into 1 6.333 * [backup-simplify]: Simplify (/ 1 1) into 1 6.333 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.333 * [taylor]: Taking taylor expansion of f in n 6.333 * [backup-simplify]: Simplify f into f 6.333 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.333 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.333 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.333 * [taylor]: Taking taylor expansion of f in n 6.333 * [backup-simplify]: Simplify f into f 6.333 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.333 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.333 * [taylor]: Taking taylor expansion of n in n 6.333 * [backup-simplify]: Simplify 0 into 0 6.333 * [backup-simplify]: Simplify 1 into 1 6.333 * [backup-simplify]: Simplify (/ 1 1) into 1 6.334 * [backup-simplify]: Simplify (+ 1 0) into 1 6.334 * [backup-simplify]: Simplify (+ 0 1) into 1 6.334 * [backup-simplify]: Simplify (/ 1 1) into 1 6.335 * [backup-simplify]: Simplify (* -1 1) into -1 6.335 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.335 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 6.335 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 6.335 * [taylor]: Taking taylor expansion of -1 in f 6.335 * [backup-simplify]: Simplify -1 into -1 6.335 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 6.335 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.335 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.335 * [taylor]: Taking taylor expansion of n in f 6.335 * [backup-simplify]: Simplify n into n 6.335 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.335 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.335 * [taylor]: Taking taylor expansion of f in f 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 1 into 1 6.335 * [backup-simplify]: Simplify (/ 1 1) into 1 6.335 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.335 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.335 * [taylor]: Taking taylor expansion of f in f 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 1 into 1 6.336 * [backup-simplify]: Simplify (/ 1 1) into 1 6.336 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.336 * [taylor]: Taking taylor expansion of n in f 6.336 * [backup-simplify]: Simplify n into n 6.336 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.336 * [backup-simplify]: Simplify (- 1) into -1 6.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.336 * [backup-simplify]: Simplify (+ 1 0) into 1 6.337 * [backup-simplify]: Simplify (/ -1 1) into -1 6.337 * [backup-simplify]: Simplify (* -1 -1) into 1 6.337 * [backup-simplify]: Simplify (exp 1) into E 6.337 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 6.337 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 6.337 * [taylor]: Taking taylor expansion of -1 in f 6.337 * [backup-simplify]: Simplify -1 into -1 6.337 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 6.337 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.337 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.337 * [taylor]: Taking taylor expansion of n in f 6.337 * [backup-simplify]: Simplify n into n 6.337 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.337 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.337 * [taylor]: Taking taylor expansion of f in f 6.337 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify 1 into 1 6.337 * [backup-simplify]: Simplify (/ 1 1) into 1 6.337 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.337 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.338 * [taylor]: Taking taylor expansion of f in f 6.338 * [backup-simplify]: Simplify 0 into 0 6.338 * [backup-simplify]: Simplify 1 into 1 6.338 * [backup-simplify]: Simplify (/ 1 1) into 1 6.338 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.338 * [taylor]: Taking taylor expansion of n in f 6.338 * [backup-simplify]: Simplify n into n 6.338 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.338 * [backup-simplify]: Simplify (- 1) into -1 6.338 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.339 * [backup-simplify]: Simplify (+ 1 0) into 1 6.339 * [backup-simplify]: Simplify (/ -1 1) into -1 6.339 * [backup-simplify]: Simplify (* -1 -1) into 1 6.339 * [backup-simplify]: Simplify (exp 1) into E 6.339 * [taylor]: Taking taylor expansion of E in n 6.339 * [backup-simplify]: Simplify E into E 6.339 * [backup-simplify]: Simplify E into E 6.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.340 * [backup-simplify]: Simplify (- 0) into 0 6.340 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.341 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.341 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 6.341 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 6.341 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 6.341 * [taylor]: Taking taylor expansion of (* -2 (/ E n)) in n 6.341 * [taylor]: Taking taylor expansion of -2 in n 6.341 * [backup-simplify]: Simplify -2 into -2 6.341 * [taylor]: Taking taylor expansion of (/ E n) in n 6.341 * [taylor]: Taking taylor expansion of E in n 6.341 * [backup-simplify]: Simplify E into E 6.341 * [taylor]: Taking taylor expansion of n in n 6.341 * [backup-simplify]: Simplify 0 into 0 6.341 * [backup-simplify]: Simplify 1 into 1 6.342 * [backup-simplify]: Simplify (/ E 1) into E 6.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.343 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 E)) into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.344 * [backup-simplify]: Simplify (- 0) into 0 6.344 * [backup-simplify]: Simplify (+ 0 0) into 0 6.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.345 * [backup-simplify]: Simplify (+ 0 0) into 0 6.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.346 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.346 * [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))) 6.346 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 6.346 * [taylor]: Taking taylor expansion of 4 in n 6.346 * [backup-simplify]: Simplify 4 into 4 6.346 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 6.346 * [taylor]: Taking taylor expansion of E in n 6.346 * [backup-simplify]: Simplify E into E 6.346 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.346 * [taylor]: Taking taylor expansion of n in n 6.346 * [backup-simplify]: Simplify 0 into 0 6.346 * [backup-simplify]: Simplify 1 into 1 6.347 * [backup-simplify]: Simplify (* 1 1) into 1 6.347 * [backup-simplify]: Simplify (/ E 1) into E 6.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.350 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 6.350 * [backup-simplify]: Simplify 0 into 0 6.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.351 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 E))) into 0 6.351 * [backup-simplify]: Simplify 0 into 0 6.351 * [backup-simplify]: Simplify 0 into 0 6.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.352 * [backup-simplify]: Simplify (- 0) into 0 6.352 * [backup-simplify]: Simplify (+ 0 0) into 0 6.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.353 * [backup-simplify]: Simplify (+ 0 0) into 0 6.354 * [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))) 6.354 * [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)))) 6.355 * [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))) 6.355 * [taylor]: Taking taylor expansion of (* -22/3 (/ E (pow n 3))) in n 6.355 * [taylor]: Taking taylor expansion of -22/3 in n 6.355 * [backup-simplify]: Simplify -22/3 into -22/3 6.355 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 6.355 * [taylor]: Taking taylor expansion of E in n 6.355 * [backup-simplify]: Simplify E into E 6.355 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.355 * [taylor]: Taking taylor expansion of n in n 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify 1 into 1 6.355 * [backup-simplify]: Simplify (* 1 1) into 1 6.356 * [backup-simplify]: Simplify (* 1 1) into 1 6.356 * [backup-simplify]: Simplify (/ E 1) into E 6.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.366 * [backup-simplify]: Simplify (+ (* -22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 6.366 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify E into E 6.366 * * * [progress]: simplifying candidates 6.366 * * * * [progress]: [ 1 / 279 ] simplifiying candidate # 6.366 * * * * [progress]: [ 2 / 279 ] 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candidate # 6.368 * * * * [progress]: [ 34 / 279 ] simplifiying candidate # 6.368 * * * * [progress]: [ 35 / 279 ] simplifiying candidate # 6.368 * * * * [progress]: [ 36 / 279 ] simplifiying candidate # 6.368 * * * * [progress]: [ 37 / 279 ] simplifiying candidate # 6.369 * * * * [progress]: [ 38 / 279 ] simplifiying candidate # 6.369 * * * * [progress]: [ 39 / 279 ] simplifiying candidate # 6.369 * * * * [progress]: [ 40 / 279 ] simplifiying candidate # 6.369 * * * * [progress]: [ 41 / 279 ] simplifiying candidate # 6.369 * * * * [progress]: [ 42 / 279 ] simplifiying candidate # 6.369 * * * * [progress]: [ 43 / 279 ] simplifiying candidate # 6.369 * * * * [progress]: [ 44 / 279 ] simplifiying candidate # 6.369 * * * * [progress]: [ 45 / 279 ] simplifiying candidate # 6.369 * * * * [progress]: [ 46 / 279 ] simplifiying candidate # 6.369 * * * * [progress]: [ 47 / 279 ] simplifiying candidate # 6.369 * * * * [progress]: [ 48 / 279 ] simplifiying candidate # 6.369 * * * * [progress]: [ 49 / 279 ] simplifiying candidate #real (real->posit16 (/ (- f n) (+ f n))))))))> 6.369 * * * * [progress]: [ 50 / 279 ] simplifiying candidate # 6.369 * * * * [progress]: [ 51 / 279 ] simplifiying candidate # 6.369 * * * * [progress]: [ 52 / 279 ] simplifiying candidate # 6.370 * * * * [progress]: [ 53 / 279 ] simplifiying candidate # 6.370 * * * * [progress]: [ 54 / 279 ] simplifiying candidate # 6.370 * * * * [progress]: [ 55 / 279 ] simplifiying candidate # 6.370 * * * * [progress]: [ 56 / 279 ] simplifiying candidate # 6.370 * * * * [progress]: [ 57 / 279 ] simplifiying candidate # 6.370 * * * * [progress]: [ 58 / 279 ] simplifiying candidate # 6.370 * * * * [progress]: [ 59 / 279 ] simplifiying candidate # 6.370 * * * * [progress]: [ 60 / 279 ] simplifiying candidate # 6.370 * * * * [progress]: [ 61 / 279 ] simplifiying candidate # 6.370 * * * * [progress]: [ 62 / 279 ] simplifiying candidate # 6.370 * * * * [progress]: [ 63 / 279 ] simplifiying candidate # 6.370 * * * * 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candidate # 6.371 * * * * [progress]: [ 80 / 279 ] simplifiying candidate # 6.371 * * * * [progress]: [ 81 / 279 ] simplifiying candidate # 6.371 * * * * [progress]: [ 82 / 279 ] simplifiying candidate # 6.372 * * * * [progress]: [ 83 / 279 ] simplifiying candidate # 6.372 * * * * [progress]: [ 84 / 279 ] simplifiying candidate # 6.372 * * * * [progress]: [ 85 / 279 ] simplifiying candidate # 6.372 * * * * [progress]: [ 86 / 279 ] simplifiying candidate # 6.372 * * * * [progress]: [ 87 / 279 ] simplifiying candidate # 6.372 * * * * [progress]: [ 88 / 279 ] simplifiying candidate # 6.372 * * * * [progress]: [ 89 / 279 ] simplifiying candidate # 6.372 * * * * [progress]: [ 90 / 279 ] simplifiying candidate # 6.372 * * * * [progress]: [ 91 / 279 ] simplifiying candidate #real (real->posit16 (log (exp (/ (- f n) (+ f n))))))))> 6.372 * * * * [progress]: [ 92 / 279 ] simplifiying candidate # 6.372 * * * * [progress]: [ 93 / 279 ] simplifiying candidate # 6.372 * * * * [progress]: [ 94 / 279 ] simplifiying candidate # 6.372 * * * * [progress]: [ 95 / 279 ] simplifiying candidate # 6.372 * * * * [progress]: [ 96 / 279 ] simplifiying candidate # 6.372 * * * * [progress]: [ 97 / 279 ] simplifiying candidate # 6.372 * * * * [progress]: [ 98 / 279 ] simplifiying candidate # 6.373 * * * * [progress]: [ 99 / 279 ] simplifiying candidate # 6.373 * * * * [progress]: [ 100 / 279 ] simplifiying candidate # 6.373 * * * * [progress]: [ 101 / 279 ] simplifiying candidate # 6.373 * * * * [progress]: [ 102 / 279 ] simplifiying candidate # 6.373 * * * * [progress]: [ 103 / 279 ] simplifiying candidate # 6.373 * * * * [progress]: [ 104 / 279 ] simplifiying candidate # 6.373 * * * * [progress]: [ 105 / 279 ] simplifiying candidate # 6.373 * * * * [progress]: [ 106 / 279 ] simplifiying candidate # 6.373 * * * * [progress]: [ 107 / 279 ] simplifiying candidate # 6.373 * * * * [progress]: [ 108 / 279 ] simplifiying candidate # 6.373 * * * * [progress]: [ 109 / 279 ] simplifiying candidate # 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simplifiying candidate # 6.384 * * * * [progress]: [ 263 / 279 ] simplifiying candidate # 6.384 * * * * [progress]: [ 264 / 279 ] simplifiying candidate # 6.384 * * * * [progress]: [ 265 / 279 ] simplifiying candidate # 6.385 * * * * [progress]: [ 266 / 279 ] simplifiying candidate # 6.385 * * * * [progress]: [ 267 / 279 ] simplifiying candidate #real (real->posit16 (exp (/ (- f n) (+ f n))))))))> 6.385 * * * * [progress]: [ 268 / 279 ] simplifiying candidate # 6.385 * * * * [progress]: [ 269 / 279 ] simplifiying candidate # 6.385 * * * * [progress]: [ 270 / 279 ] simplifiying candidate # 6.385 * * * * [progress]: [ 271 / 279 ] simplifiying candidate # 6.385 * * * * [progress]: [ 272 / 279 ] simplifiying candidate # 6.385 * * * * [progress]: [ 273 / 279 ] simplifiying candidate # 6.385 * * * * [progress]: [ 274 / 279 ] simplifiying candidate # 6.385 * * * * [progress]: [ 275 / 279 ] simplifiying candidate # 6.385 * * * * [progress]: [ 276 / 279 ] simplifiying candidate # 6.385 * * * * [progress]: [ 277 / 279 ] simplifiying candidate # 6.385 * * * * [progress]: [ 278 / 279 ] simplifiying candidate # 6.385 * * * * [progress]: [ 279 / 279 ] simplifiying candidate # 6.391 * [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)) 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[simplify]: Extracting #3: cost 1647 inf + 58336 7.872 * * [simplify]: Extracting #4: cost 635 inf + 235792 7.944 * * [simplify]: Extracting #5: cost 83 inf + 358200 8.021 * * [simplify]: Extracting #6: cost 4 inf + 375149 8.104 * * [simplify]: Extracting #7: cost 0 inf + 376161 8.236 * [simplify]: Simplified to: (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (log (/ (- f n) (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (* (/ (- f n) (+ f n)) (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n)))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (/ (- f n) (+ f n)) (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n)))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ 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)) (/ (sqrt (+ f n)) (cbrt (- f n)))) (/ (cbrt (- f n)) (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f 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(- f n)))) (/ (cbrt (+ f n)) (sqrt (- f n))) (* (/ (- (cbrt (+ f n))) (sqrt (- f n))) (cbrt (+ f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (cbrt (+ f n)) (- f n)) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (- f n)) (- (sqrt (+ f n))) (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (/ (/ (+ (sqrt n) (sqrt f)) (cbrt (+ f n))) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (* (/ -1 (+ (sqrt n) (sqrt f))) (sqrt (+ f n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt n) (sqrt f))) (/ (cbrt (+ f n)) (- f n)) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (- f n)) (- (sqrt (+ f n))) (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) -1 (+ f n) (/ -1 (- f n)) (/ 1 (fma f f (* n (- n f)))) (* (/ -1 (- f n)) (fma (* f f) f (* n (* n n)))) (/ 1 (- f n)) (* (/ -1 (- f n)) (* (+ f n) (- 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 (- (/ (+ f n) (- f n))) (/ (+ f n) (- f n)) (/ (/ (- f n) (+ f n)) -1) -1 (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (- (/ (+ f n) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (- (sqrt (+ f n))) (- f n)) (- (/ (+ f n) (- f n))) (- (/ (+ f n) (- f n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (- (sqrt (+ f n))) (- f n)) (- (/ (+ f n) (- f n))) (- (/ (+ f n) (- f n))) (- (/ (+ f n) (- f n))) (- (+ f n)) (/ -1 (fma f f (* n (- n f)))) (/ -1 (- f n)) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) -1 (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (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)))) (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))) (exp (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (exp (/ 1 (sqrt (+ f n)))) E E (exp (/ (/ (+ (sqrt n) (sqrt f)) (cbrt (+ f n))) (cbrt (+ f n)))) (exp (/ (+ (sqrt n) (sqrt f)) (sqrt (+ f n)))) (exp (+ (sqrt n) (sqrt f))) (exp (+ (sqrt n) (sqrt f))) (exp (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (exp (/ 1 (sqrt (+ f n)))) E E E (exp (- f n)) (exp (/ (- f n) (fma (* f f) f (* n (* n n))))) (exp (/ (/ (- f n) (+ f n)) (- f n))) (exp (/ f (+ f n))) (exp (/ 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 (fma 2 (/ (- f n) (+ f n)) (/ (- f n) (+ f n)))) (sqrt (exp (/ (- f n) (+ f n)))) (sqrt (exp (/ (- f n) (+ f n)))) (real->posit16 (exp (/ (- f n) (+ f n)))) -1 1 1 -1 1 1 1 -1 -1 (/ 1 E) E E 8.279 * * * [progress]: adding candidates to table 9.240 * * [progress]: iteration 4 / 4 9.240 * * * [progress]: picking best candidate 9.245 * * * * [pick]: Picked # 9.245 * * * [progress]: localizing error 9.277 * * * [progress]: generating rewritten candidates 9.277 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2) 9.328 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 9.377 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 9.528 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 9.657 * * * [progress]: generating series expansions 9.657 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2) 9.657 * [backup-simplify]: Simplify (/ (+ f n) (- f n)) into (/ (+ n f) (- f n)) 9.657 * [approximate]: Taking taylor expansion of (/ (+ n f) (- f n)) in (f n) around 0 9.657 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 9.657 * [taylor]: Taking taylor expansion of (+ n f) in n 9.657 * [taylor]: Taking taylor expansion of n in n 9.657 * [backup-simplify]: Simplify 0 into 0 9.657 * [backup-simplify]: Simplify 1 into 1 9.657 * [taylor]: Taking taylor expansion of f in n 9.657 * [backup-simplify]: Simplify f into f 9.657 * [taylor]: Taking taylor expansion of (- f n) in n 9.657 * [taylor]: Taking taylor expansion of f in n 9.657 * [backup-simplify]: Simplify f into f 9.657 * [taylor]: Taking taylor expansion of n in n 9.657 * [backup-simplify]: Simplify 0 into 0 9.657 * [backup-simplify]: Simplify 1 into 1 9.657 * [backup-simplify]: Simplify (+ 0 f) into f 9.658 * [backup-simplify]: Simplify (- 0) into 0 9.658 * [backup-simplify]: Simplify (+ f 0) into f 9.658 * [backup-simplify]: Simplify (/ f f) into 1 9.658 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 9.658 * [taylor]: Taking taylor expansion of (+ n f) in f 9.658 * [taylor]: Taking taylor expansion of n in f 9.658 * [backup-simplify]: Simplify n into n 9.658 * [taylor]: Taking taylor expansion of f in f 9.658 * [backup-simplify]: Simplify 0 into 0 9.658 * [backup-simplify]: Simplify 1 into 1 9.658 * [taylor]: Taking taylor expansion of (- f n) in f 9.658 * [taylor]: Taking taylor expansion of f in f 9.658 * [backup-simplify]: Simplify 0 into 0 9.658 * [backup-simplify]: Simplify 1 into 1 9.658 * [taylor]: Taking taylor expansion of n in f 9.658 * [backup-simplify]: Simplify n into n 9.658 * [backup-simplify]: Simplify (+ n 0) into n 9.658 * [backup-simplify]: Simplify (- n) into (- n) 9.658 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.658 * [backup-simplify]: Simplify (/ n (- n)) into -1 9.658 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 9.658 * [taylor]: Taking taylor expansion of (+ n f) in f 9.658 * [taylor]: Taking taylor expansion of n in f 9.658 * [backup-simplify]: Simplify n into n 9.658 * [taylor]: Taking taylor expansion of f in f 9.658 * [backup-simplify]: Simplify 0 into 0 9.658 * [backup-simplify]: Simplify 1 into 1 9.658 * [taylor]: Taking taylor expansion of (- f n) in f 9.658 * [taylor]: Taking taylor expansion of f in f 9.658 * [backup-simplify]: Simplify 0 into 0 9.658 * [backup-simplify]: Simplify 1 into 1 9.658 * [taylor]: Taking taylor expansion of n in f 9.658 * [backup-simplify]: Simplify n into n 9.658 * [backup-simplify]: Simplify (+ n 0) into n 9.659 * [backup-simplify]: Simplify (- n) into (- n) 9.659 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.659 * [backup-simplify]: Simplify (/ n (- n)) into -1 9.659 * [taylor]: Taking taylor expansion of -1 in n 9.659 * [backup-simplify]: Simplify -1 into -1 9.659 * [backup-simplify]: Simplify -1 into -1 9.659 * [backup-simplify]: Simplify (+ 0 1) into 1 9.659 * [backup-simplify]: Simplify (- 0) into 0 9.660 * [backup-simplify]: Simplify (+ 1 0) into 1 9.660 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 9.660 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.660 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.660 * [taylor]: Taking taylor expansion of 2 in n 9.660 * [backup-simplify]: Simplify 2 into 2 9.660 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.660 * [taylor]: Taking taylor expansion of n in n 9.660 * [backup-simplify]: Simplify 0 into 0 9.660 * [backup-simplify]: Simplify 1 into 1 9.660 * [backup-simplify]: Simplify (/ 1 1) into 1 9.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.661 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.661 * [backup-simplify]: Simplify (- 0) into 0 9.661 * [backup-simplify]: Simplify 0 into 0 9.661 * [backup-simplify]: Simplify 0 into 0 9.662 * [backup-simplify]: Simplify (+ 0 0) into 0 9.662 * [backup-simplify]: Simplify (- 0) into 0 9.662 * [backup-simplify]: Simplify (+ 0 0) into 0 9.662 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 9.662 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 9.662 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.662 * [taylor]: Taking taylor expansion of 2 in n 9.662 * [backup-simplify]: Simplify 2 into 2 9.662 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.662 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.662 * [taylor]: Taking taylor expansion of n in n 9.662 * [backup-simplify]: Simplify 0 into 0 9.662 * [backup-simplify]: Simplify 1 into 1 9.663 * [backup-simplify]: Simplify (* 1 1) into 1 9.663 * [backup-simplify]: Simplify (/ 1 1) into 1 9.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.666 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.666 * [backup-simplify]: Simplify (- 0) into 0 9.666 * [backup-simplify]: Simplify 0 into 0 9.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.667 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.667 * [backup-simplify]: Simplify (- 0) into 0 9.667 * [backup-simplify]: Simplify 0 into 0 9.667 * [backup-simplify]: Simplify 0 into 0 9.667 * [backup-simplify]: Simplify (+ 0 0) into 0 9.668 * [backup-simplify]: Simplify (- 0) into 0 9.668 * [backup-simplify]: Simplify (+ 0 0) into 0 9.669 * [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)))) 9.669 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.669 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.669 * [taylor]: Taking taylor expansion of 2 in n 9.669 * [backup-simplify]: Simplify 2 into 2 9.669 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.669 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.669 * [taylor]: Taking taylor expansion of n in n 9.669 * [backup-simplify]: Simplify 0 into 0 9.669 * [backup-simplify]: Simplify 1 into 1 9.669 * [backup-simplify]: Simplify (* 1 1) into 1 9.670 * [backup-simplify]: Simplify (* 1 1) into 1 9.670 * [backup-simplify]: Simplify (/ 1 1) into 1 9.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.679 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.679 * [backup-simplify]: Simplify (- 0) into 0 9.679 * [backup-simplify]: Simplify 0 into 0 9.679 * [backup-simplify]: Simplify -1 into -1 9.679 * [backup-simplify]: Simplify (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 9.680 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in (f n) around 0 9.680 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 9.680 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.680 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.680 * [taylor]: Taking taylor expansion of f in n 9.680 * [backup-simplify]: Simplify f into f 9.680 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.680 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.680 * [taylor]: Taking taylor expansion of n in n 9.680 * [backup-simplify]: Simplify 0 into 0 9.680 * [backup-simplify]: Simplify 1 into 1 9.680 * [backup-simplify]: Simplify (/ 1 1) into 1 9.680 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 9.680 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.680 * [taylor]: Taking taylor expansion of f in n 9.680 * [backup-simplify]: Simplify f into f 9.680 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.680 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.680 * [taylor]: Taking taylor expansion of n in n 9.681 * [backup-simplify]: Simplify 0 into 0 9.681 * [backup-simplify]: Simplify 1 into 1 9.681 * [backup-simplify]: Simplify (/ 1 1) into 1 9.681 * [backup-simplify]: Simplify (+ 0 1) into 1 9.682 * [backup-simplify]: Simplify (- 1) into -1 9.682 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.683 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.683 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 9.683 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.683 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.683 * [taylor]: Taking taylor expansion of f in f 9.683 * [backup-simplify]: Simplify 0 into 0 9.683 * [backup-simplify]: Simplify 1 into 1 9.683 * [backup-simplify]: Simplify (/ 1 1) into 1 9.683 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.683 * [taylor]: Taking taylor expansion of n in f 9.683 * [backup-simplify]: Simplify n into n 9.683 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.683 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.683 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.683 * [taylor]: Taking taylor expansion of f in f 9.683 * [backup-simplify]: Simplify 0 into 0 9.683 * [backup-simplify]: Simplify 1 into 1 9.684 * [backup-simplify]: Simplify (/ 1 1) into 1 9.684 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.684 * [taylor]: Taking taylor expansion of n in f 9.684 * [backup-simplify]: Simplify n into n 9.684 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.684 * [backup-simplify]: Simplify (+ 1 0) into 1 9.685 * [backup-simplify]: Simplify (+ 1 0) into 1 9.685 * [backup-simplify]: Simplify (/ 1 1) into 1 9.685 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 9.685 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.685 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.685 * [taylor]: Taking taylor expansion of f in f 9.685 * [backup-simplify]: Simplify 0 into 0 9.685 * [backup-simplify]: Simplify 1 into 1 9.686 * [backup-simplify]: Simplify (/ 1 1) into 1 9.686 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.686 * [taylor]: Taking taylor expansion of n in f 9.686 * [backup-simplify]: Simplify n into n 9.686 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.686 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.686 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.686 * [taylor]: Taking taylor expansion of f in f 9.686 * [backup-simplify]: Simplify 0 into 0 9.686 * [backup-simplify]: Simplify 1 into 1 9.686 * [backup-simplify]: Simplify (/ 1 1) into 1 9.686 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.686 * [taylor]: Taking taylor expansion of n in f 9.686 * [backup-simplify]: Simplify n into n 9.686 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.687 * [backup-simplify]: Simplify (+ 1 0) into 1 9.687 * [backup-simplify]: Simplify (+ 1 0) into 1 9.688 * [backup-simplify]: Simplify (/ 1 1) into 1 9.688 * [taylor]: Taking taylor expansion of 1 in n 9.688 * [backup-simplify]: Simplify 1 into 1 9.688 * [backup-simplify]: Simplify 1 into 1 9.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.689 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.689 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 9.690 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 9.690 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 9.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.690 * [taylor]: Taking taylor expansion of 2 in n 9.690 * [backup-simplify]: Simplify 2 into 2 9.690 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.690 * [taylor]: Taking taylor expansion of n in n 9.690 * [backup-simplify]: Simplify 0 into 0 9.690 * [backup-simplify]: Simplify 1 into 1 9.690 * [backup-simplify]: Simplify (/ 1 1) into 1 9.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.692 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.692 * [backup-simplify]: Simplify 0 into 0 9.692 * [backup-simplify]: Simplify 0 into 0 9.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.693 * [backup-simplify]: Simplify (+ 0 0) into 0 9.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.695 * [backup-simplify]: Simplify (- 0) into 0 9.695 * [backup-simplify]: Simplify (+ 0 0) into 0 9.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 9.696 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.696 * [taylor]: Taking taylor expansion of 2 in n 9.696 * [backup-simplify]: Simplify 2 into 2 9.696 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.696 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.696 * [taylor]: Taking taylor expansion of n in n 9.696 * [backup-simplify]: Simplify 0 into 0 9.696 * [backup-simplify]: Simplify 1 into 1 9.697 * [backup-simplify]: Simplify (* 1 1) into 1 9.697 * [backup-simplify]: Simplify (/ 1 1) into 1 9.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.701 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.701 * [backup-simplify]: Simplify 0 into 0 9.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.703 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.703 * [backup-simplify]: Simplify 0 into 0 9.703 * [backup-simplify]: Simplify 0 into 0 9.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.705 * [backup-simplify]: Simplify (+ 0 0) into 0 9.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.706 * [backup-simplify]: Simplify (- 0) into 0 9.707 * [backup-simplify]: Simplify (+ 0 0) into 0 9.708 * [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))) 9.708 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.708 * [taylor]: Taking taylor expansion of 2 in n 9.708 * [backup-simplify]: Simplify 2 into 2 9.708 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.708 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.708 * [taylor]: Taking taylor expansion of n in n 9.708 * [backup-simplify]: Simplify 0 into 0 9.708 * [backup-simplify]: Simplify 1 into 1 9.709 * [backup-simplify]: Simplify (* 1 1) into 1 9.709 * [backup-simplify]: Simplify (* 1 1) into 1 9.710 * [backup-simplify]: Simplify (/ 1 1) into 1 9.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.719 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.719 * [backup-simplify]: Simplify 0 into 0 9.719 * [backup-simplify]: Simplify 1 into 1 9.719 * [backup-simplify]: Simplify (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 9.719 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 9.719 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 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 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 9.719 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.719 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.719 * [taylor]: Taking taylor expansion of f in n 9.719 * [backup-simplify]: Simplify f into f 9.719 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.719 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.720 * [taylor]: Taking taylor expansion of n in n 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) (/ 1 f)) in n 9.720 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.720 * [taylor]: Taking taylor expansion of n in n 9.720 * [backup-simplify]: Simplify 0 into 0 9.720 * [backup-simplify]: Simplify 1 into 1 9.721 * [backup-simplify]: Simplify (/ 1 1) into 1 9.721 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.721 * [taylor]: Taking taylor expansion of f in n 9.721 * [backup-simplify]: Simplify f into f 9.721 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.721 * [backup-simplify]: Simplify (+ 0 1) into 1 9.722 * [backup-simplify]: Simplify (+ 1 0) into 1 9.722 * [backup-simplify]: Simplify (/ 1 1) into 1 9.722 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 9.722 * [taylor]: Taking taylor expansion of -1 in f 9.722 * [backup-simplify]: Simplify -1 into -1 9.722 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 9.722 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.722 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.722 * [taylor]: Taking taylor expansion of f in f 9.722 * [backup-simplify]: Simplify 0 into 0 9.722 * [backup-simplify]: Simplify 1 into 1 9.723 * [backup-simplify]: Simplify (/ 1 1) into 1 9.723 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.723 * [taylor]: Taking taylor expansion of n in f 9.723 * [backup-simplify]: Simplify n into n 9.723 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.723 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.723 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.723 * [taylor]: Taking taylor expansion of n in f 9.723 * [backup-simplify]: Simplify n into n 9.723 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.723 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.723 * [taylor]: Taking taylor expansion of f in f 9.723 * [backup-simplify]: Simplify 0 into 0 9.723 * [backup-simplify]: Simplify 1 into 1 9.724 * [backup-simplify]: Simplify (/ 1 1) into 1 9.724 * [backup-simplify]: Simplify (+ 1 0) into 1 9.725 * [backup-simplify]: Simplify (- 1) into -1 9.725 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.726 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.726 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 9.726 * [taylor]: Taking taylor expansion of -1 in f 9.726 * [backup-simplify]: Simplify -1 into -1 9.726 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 9.726 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.726 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.726 * [taylor]: Taking taylor expansion of f in f 9.726 * [backup-simplify]: Simplify 0 into 0 9.726 * [backup-simplify]: Simplify 1 into 1 9.727 * [backup-simplify]: Simplify (/ 1 1) into 1 9.727 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.727 * [taylor]: Taking taylor expansion of n in f 9.727 * [backup-simplify]: Simplify n into n 9.727 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.727 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.727 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.727 * [taylor]: Taking taylor expansion of n in f 9.727 * [backup-simplify]: Simplify n into n 9.727 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.727 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.727 * [taylor]: Taking taylor expansion of f in f 9.727 * [backup-simplify]: Simplify 0 into 0 9.727 * [backup-simplify]: Simplify 1 into 1 9.728 * [backup-simplify]: Simplify (/ 1 1) into 1 9.728 * [backup-simplify]: Simplify (+ 1 0) into 1 9.728 * [backup-simplify]: Simplify (- 1) into -1 9.729 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.729 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.730 * [backup-simplify]: Simplify (* -1 -1) into 1 9.730 * [taylor]: Taking taylor expansion of 1 in n 9.730 * [backup-simplify]: Simplify 1 into 1 9.730 * [backup-simplify]: Simplify 1 into 1 9.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.731 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.732 * [backup-simplify]: Simplify (- 0) into 0 9.732 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 9.732 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 9.732 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 9.732 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.732 * [taylor]: Taking taylor expansion of 2 in n 9.732 * [backup-simplify]: Simplify 2 into 2 9.733 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.733 * [taylor]: Taking taylor expansion of n in n 9.733 * [backup-simplify]: Simplify 0 into 0 9.733 * [backup-simplify]: Simplify 1 into 1 9.733 * [backup-simplify]: Simplify (/ 1 1) into 1 9.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.735 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.735 * [backup-simplify]: Simplify 0 into 0 9.735 * [backup-simplify]: Simplify 0 into 0 9.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.736 * [backup-simplify]: Simplify (+ 0 0) into 0 9.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.738 * [backup-simplify]: Simplify (- 0) into 0 9.738 * [backup-simplify]: Simplify (+ 0 0) into 0 9.740 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 9.741 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 9.741 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.741 * [taylor]: Taking taylor expansion of 2 in n 9.741 * [backup-simplify]: Simplify 2 into 2 9.741 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.741 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.741 * [taylor]: Taking taylor expansion of n in n 9.741 * [backup-simplify]: Simplify 0 into 0 9.741 * [backup-simplify]: Simplify 1 into 1 9.741 * [backup-simplify]: Simplify (* 1 1) into 1 9.742 * [backup-simplify]: Simplify (/ 1 1) into 1 9.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.746 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.746 * [backup-simplify]: Simplify 0 into 0 9.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.748 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.748 * [backup-simplify]: Simplify 0 into 0 9.748 * [backup-simplify]: Simplify 0 into 0 9.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.750 * [backup-simplify]: Simplify (+ 0 0) into 0 9.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.751 * [backup-simplify]: Simplify (- 0) into 0 9.751 * [backup-simplify]: Simplify (+ 0 0) into 0 9.753 * [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)))) 9.754 * [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))) 9.754 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.754 * [taylor]: Taking taylor expansion of 2 in n 9.754 * [backup-simplify]: Simplify 2 into 2 9.754 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.754 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.754 * [taylor]: Taking taylor expansion of n in n 9.754 * [backup-simplify]: Simplify 0 into 0 9.754 * [backup-simplify]: Simplify 1 into 1 9.755 * [backup-simplify]: Simplify (* 1 1) into 1 9.755 * [backup-simplify]: Simplify (* 1 1) into 1 9.755 * [backup-simplify]: Simplify (/ 1 1) into 1 9.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.764 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.764 * [backup-simplify]: Simplify 0 into 0 9.764 * [backup-simplify]: Simplify 1 into 1 9.764 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 9.764 * [backup-simplify]: Simplify (/ 1 (/ (+ f n) (- f n))) into (/ (- f n) (+ n f)) 9.764 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 9.764 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 9.764 * [taylor]: Taking taylor expansion of (- f n) in n 9.764 * [taylor]: Taking taylor expansion of f in n 9.764 * [backup-simplify]: Simplify f into f 9.764 * [taylor]: Taking taylor expansion of n in n 9.764 * [backup-simplify]: Simplify 0 into 0 9.764 * [backup-simplify]: Simplify 1 into 1 9.764 * [taylor]: Taking taylor expansion of (+ n f) in n 9.764 * [taylor]: Taking taylor expansion of n in n 9.764 * [backup-simplify]: Simplify 0 into 0 9.765 * [backup-simplify]: Simplify 1 into 1 9.765 * [taylor]: Taking taylor expansion of f in n 9.765 * [backup-simplify]: Simplify f into f 9.765 * [backup-simplify]: Simplify (- 0) into 0 9.765 * [backup-simplify]: Simplify (+ f 0) into f 9.765 * [backup-simplify]: Simplify (+ 0 f) into f 9.765 * [backup-simplify]: Simplify (/ f f) into 1 9.765 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 9.765 * [taylor]: Taking taylor expansion of (- f n) in f 9.765 * [taylor]: Taking taylor expansion of f in f 9.765 * [backup-simplify]: Simplify 0 into 0 9.765 * [backup-simplify]: Simplify 1 into 1 9.765 * [taylor]: Taking taylor expansion of n in f 9.765 * [backup-simplify]: Simplify n into n 9.765 * [taylor]: Taking taylor expansion of (+ n f) in f 9.765 * [taylor]: Taking taylor expansion of n in f 9.765 * [backup-simplify]: Simplify n into n 9.765 * [taylor]: Taking taylor expansion of f in f 9.765 * [backup-simplify]: Simplify 0 into 0 9.765 * [backup-simplify]: Simplify 1 into 1 9.765 * [backup-simplify]: Simplify (- n) into (- n) 9.765 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.765 * [backup-simplify]: Simplify (+ n 0) into n 9.765 * [backup-simplify]: Simplify (/ (- n) n) into -1 9.765 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 9.765 * [taylor]: Taking taylor expansion of (- f n) in f 9.765 * [taylor]: Taking taylor expansion of f in f 9.765 * [backup-simplify]: Simplify 0 into 0 9.765 * [backup-simplify]: Simplify 1 into 1 9.765 * [taylor]: Taking taylor expansion of n in f 9.765 * [backup-simplify]: Simplify n into n 9.765 * [taylor]: Taking taylor expansion of (+ n f) in f 9.765 * [taylor]: Taking taylor expansion of n in f 9.765 * [backup-simplify]: Simplify n into n 9.765 * [taylor]: Taking taylor expansion of f in f 9.765 * [backup-simplify]: Simplify 0 into 0 9.765 * [backup-simplify]: Simplify 1 into 1 9.765 * [backup-simplify]: Simplify (- n) into (- n) 9.765 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.765 * [backup-simplify]: Simplify (+ n 0) into n 9.765 * [backup-simplify]: Simplify (/ (- n) n) into -1 9.766 * [taylor]: Taking taylor expansion of -1 in n 9.766 * [backup-simplify]: Simplify -1 into -1 9.766 * [backup-simplify]: Simplify -1 into -1 9.766 * [backup-simplify]: Simplify (- 0) into 0 9.766 * [backup-simplify]: Simplify (+ 1 0) into 1 9.767 * [backup-simplify]: Simplify (+ 0 1) into 1 9.767 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 9.767 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.767 * [taylor]: Taking taylor expansion of 2 in n 9.767 * [backup-simplify]: Simplify 2 into 2 9.767 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.767 * [taylor]: Taking taylor expansion of n in n 9.767 * [backup-simplify]: Simplify 0 into 0 9.767 * [backup-simplify]: Simplify 1 into 1 9.767 * [backup-simplify]: Simplify (/ 1 1) into 1 9.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.768 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.768 * [backup-simplify]: Simplify 0 into 0 9.768 * [backup-simplify]: Simplify 0 into 0 9.768 * [backup-simplify]: Simplify (- 0) into 0 9.768 * [backup-simplify]: Simplify (+ 0 0) into 0 9.769 * [backup-simplify]: Simplify (+ 0 0) into 0 9.769 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 9.769 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 9.769 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.769 * [taylor]: Taking taylor expansion of 2 in n 9.769 * [backup-simplify]: Simplify 2 into 2 9.769 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.769 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.769 * [taylor]: Taking taylor expansion of n in n 9.769 * [backup-simplify]: Simplify 0 into 0 9.769 * [backup-simplify]: Simplify 1 into 1 9.769 * [backup-simplify]: Simplify (* 1 1) into 1 9.769 * [backup-simplify]: Simplify (/ 1 1) into 1 9.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.772 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.772 * [backup-simplify]: Simplify (- 0) into 0 9.772 * [backup-simplify]: Simplify 0 into 0 9.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.773 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.773 * [backup-simplify]: Simplify 0 into 0 9.773 * [backup-simplify]: Simplify 0 into 0 9.774 * [backup-simplify]: Simplify (- 0) into 0 9.774 * [backup-simplify]: Simplify (+ 0 0) into 0 9.774 * [backup-simplify]: Simplify (+ 0 0) into 0 9.774 * [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))) 9.775 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.775 * [taylor]: Taking taylor expansion of 2 in n 9.775 * [backup-simplify]: Simplify 2 into 2 9.775 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.775 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.775 * [taylor]: Taking taylor expansion of n in n 9.775 * [backup-simplify]: Simplify 0 into 0 9.775 * [backup-simplify]: Simplify 1 into 1 9.775 * [backup-simplify]: Simplify (* 1 1) into 1 9.775 * [backup-simplify]: Simplify (* 1 1) into 1 9.775 * [backup-simplify]: Simplify (/ 1 1) into 1 9.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.782 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.783 * [backup-simplify]: Simplify 0 into 0 9.783 * [backup-simplify]: Simplify -1 into -1 9.783 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 9.783 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 9.783 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 9.783 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 9.783 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.783 * [taylor]: Taking taylor expansion of f in n 9.783 * [backup-simplify]: Simplify f into f 9.783 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.783 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.783 * [taylor]: Taking taylor expansion of n in n 9.783 * [backup-simplify]: Simplify 0 into 0 9.783 * [backup-simplify]: Simplify 1 into 1 9.783 * [backup-simplify]: Simplify (/ 1 1) into 1 9.783 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.783 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.783 * [taylor]: Taking taylor expansion of f in n 9.783 * [backup-simplify]: Simplify f into f 9.783 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.783 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.783 * [taylor]: Taking taylor expansion of n in n 9.783 * [backup-simplify]: Simplify 0 into 0 9.783 * [backup-simplify]: Simplify 1 into 1 9.784 * [backup-simplify]: Simplify (/ 1 1) into 1 9.784 * [backup-simplify]: Simplify (- 1) into -1 9.784 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.784 * [backup-simplify]: Simplify (+ 0 1) into 1 9.785 * [backup-simplify]: Simplify (/ -1 1) into -1 9.785 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 9.785 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.785 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.785 * [taylor]: Taking taylor expansion of f in f 9.785 * [backup-simplify]: Simplify 0 into 0 9.785 * [backup-simplify]: Simplify 1 into 1 9.785 * [backup-simplify]: Simplify (/ 1 1) into 1 9.785 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.785 * [taylor]: Taking taylor expansion of n in f 9.785 * [backup-simplify]: Simplify n into n 9.785 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.785 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.785 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.785 * [taylor]: Taking taylor expansion of f in f 9.785 * [backup-simplify]: Simplify 0 into 0 9.785 * [backup-simplify]: Simplify 1 into 1 9.785 * [backup-simplify]: Simplify (/ 1 1) into 1 9.785 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.785 * [taylor]: Taking taylor expansion of n in f 9.785 * [backup-simplify]: Simplify n into n 9.785 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.786 * [backup-simplify]: Simplify (+ 1 0) into 1 9.786 * [backup-simplify]: Simplify (+ 1 0) into 1 9.786 * [backup-simplify]: Simplify (/ 1 1) into 1 9.786 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 9.786 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.786 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.786 * [taylor]: Taking taylor expansion of f in f 9.786 * [backup-simplify]: Simplify 0 into 0 9.786 * [backup-simplify]: Simplify 1 into 1 9.787 * [backup-simplify]: Simplify (/ 1 1) into 1 9.787 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.787 * [taylor]: Taking taylor expansion of n in f 9.787 * [backup-simplify]: Simplify n into n 9.787 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.787 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.787 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.787 * [taylor]: Taking taylor expansion of f in f 9.787 * [backup-simplify]: Simplify 0 into 0 9.787 * [backup-simplify]: Simplify 1 into 1 9.787 * [backup-simplify]: Simplify (/ 1 1) into 1 9.787 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.787 * [taylor]: Taking taylor expansion of n in f 9.787 * [backup-simplify]: Simplify n into n 9.787 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.787 * [backup-simplify]: Simplify (+ 1 0) into 1 9.788 * [backup-simplify]: Simplify (+ 1 0) into 1 9.788 * [backup-simplify]: Simplify (/ 1 1) into 1 9.788 * [taylor]: Taking taylor expansion of 1 in n 9.788 * [backup-simplify]: Simplify 1 into 1 9.788 * [backup-simplify]: Simplify 1 into 1 9.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.788 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 9.789 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 9.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.789 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.789 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 9.789 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.789 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.789 * [taylor]: Taking taylor expansion of 2 in n 9.789 * [backup-simplify]: Simplify 2 into 2 9.789 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.789 * [taylor]: Taking taylor expansion of n in n 9.789 * [backup-simplify]: Simplify 0 into 0 9.789 * [backup-simplify]: Simplify 1 into 1 9.790 * [backup-simplify]: Simplify (/ 1 1) into 1 9.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.790 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.791 * [backup-simplify]: Simplify (- 0) into 0 9.791 * [backup-simplify]: Simplify 0 into 0 9.791 * [backup-simplify]: Simplify 0 into 0 9.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.792 * [backup-simplify]: Simplify (- 0) into 0 9.792 * [backup-simplify]: Simplify (+ 0 0) into 0 9.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.793 * [backup-simplify]: Simplify (+ 0 0) into 0 9.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 9.795 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.795 * [taylor]: Taking taylor expansion of 2 in n 9.795 * [backup-simplify]: Simplify 2 into 2 9.795 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.795 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.795 * [taylor]: Taking taylor expansion of n in n 9.795 * [backup-simplify]: Simplify 0 into 0 9.795 * [backup-simplify]: Simplify 1 into 1 9.795 * [backup-simplify]: Simplify (* 1 1) into 1 9.795 * [backup-simplify]: Simplify (/ 1 1) into 1 9.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.800 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.800 * [backup-simplify]: Simplify 0 into 0 9.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.802 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.802 * [backup-simplify]: Simplify (- 0) into 0 9.802 * [backup-simplify]: Simplify 0 into 0 9.802 * [backup-simplify]: Simplify 0 into 0 9.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.804 * [backup-simplify]: Simplify (- 0) into 0 9.804 * [backup-simplify]: Simplify (+ 0 0) into 0 9.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.805 * [backup-simplify]: Simplify (+ 0 0) into 0 9.807 * [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)))) 9.807 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.807 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.807 * [taylor]: Taking taylor expansion of 2 in n 9.807 * [backup-simplify]: Simplify 2 into 2 9.807 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.807 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.807 * [taylor]: Taking taylor expansion of n in n 9.807 * [backup-simplify]: Simplify 0 into 0 9.807 * [backup-simplify]: Simplify 1 into 1 9.808 * [backup-simplify]: Simplify (* 1 1) into 1 9.808 * [backup-simplify]: Simplify (* 1 1) into 1 9.809 * [backup-simplify]: Simplify (/ 1 1) into 1 9.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.818 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.818 * [backup-simplify]: Simplify (- 0) into 0 9.818 * [backup-simplify]: Simplify 0 into 0 9.818 * [backup-simplify]: Simplify 1 into 1 9.819 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 9.819 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 9.819 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 9.819 * [taylor]: Taking taylor expansion of -1 in n 9.819 * [backup-simplify]: Simplify -1 into -1 9.819 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 9.819 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 9.819 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.819 * [taylor]: Taking taylor expansion of n in n 9.819 * [backup-simplify]: Simplify 0 into 0 9.819 * [backup-simplify]: Simplify 1 into 1 9.819 * [backup-simplify]: Simplify (/ 1 1) into 1 9.819 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.820 * [taylor]: Taking taylor expansion of f in n 9.820 * [backup-simplify]: Simplify f into f 9.820 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.820 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.820 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.820 * [taylor]: Taking taylor expansion of f in n 9.820 * [backup-simplify]: Simplify f into f 9.820 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.820 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.820 * [taylor]: Taking taylor expansion of n in n 9.820 * [backup-simplify]: Simplify 0 into 0 9.820 * [backup-simplify]: Simplify 1 into 1 9.820 * [backup-simplify]: Simplify (/ 1 1) into 1 9.821 * [backup-simplify]: Simplify (+ 1 0) into 1 9.821 * [backup-simplify]: Simplify (+ 0 1) into 1 9.821 * [backup-simplify]: Simplify (/ 1 1) into 1 9.821 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 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 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 9.822 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.822 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.822 * [taylor]: Taking taylor expansion of n in f 9.822 * [backup-simplify]: Simplify n into n 9.822 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.822 * [taylor]: Taking taylor expansion of (/ 1 f) in f 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 * [backup-simplify]: Simplify (/ 1 1) into 1 9.822 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.822 * [taylor]: Taking taylor expansion of (/ 1 f) in f 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 9.823 * [backup-simplify]: Simplify (/ 1 1) into 1 9.823 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.823 * [taylor]: Taking taylor expansion of n in f 9.823 * [backup-simplify]: Simplify n into n 9.823 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.823 * [backup-simplify]: Simplify (- 1) into -1 9.824 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.824 * [backup-simplify]: Simplify (+ 1 0) into 1 9.825 * [backup-simplify]: Simplify (/ -1 1) into -1 9.825 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 9.825 * [taylor]: Taking taylor expansion of -1 in f 9.825 * [backup-simplify]: Simplify -1 into -1 9.825 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 9.825 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.825 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.825 * [taylor]: Taking taylor expansion of n in f 9.825 * [backup-simplify]: Simplify n into n 9.825 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.825 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.825 * [taylor]: Taking taylor expansion of f in f 9.825 * [backup-simplify]: Simplify 0 into 0 9.825 * [backup-simplify]: Simplify 1 into 1 9.825 * [backup-simplify]: Simplify (/ 1 1) into 1 9.825 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.825 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.825 * [taylor]: Taking taylor expansion of f in f 9.825 * [backup-simplify]: Simplify 0 into 0 9.825 * [backup-simplify]: Simplify 1 into 1 9.826 * [backup-simplify]: Simplify (/ 1 1) into 1 9.826 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.826 * [taylor]: Taking taylor expansion of n in f 9.826 * [backup-simplify]: Simplify n into n 9.826 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.826 * [backup-simplify]: Simplify (- 1) into -1 9.827 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.827 * [backup-simplify]: Simplify (+ 1 0) into 1 9.828 * [backup-simplify]: Simplify (/ -1 1) into -1 9.828 * [backup-simplify]: Simplify (* -1 -1) into 1 9.828 * [taylor]: Taking taylor expansion of 1 in n 9.828 * [backup-simplify]: Simplify 1 into 1 9.828 * [backup-simplify]: Simplify 1 into 1 9.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.829 * [backup-simplify]: Simplify (- 0) into 0 9.829 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 9.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.829 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.829 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 9.830 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 9.830 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.830 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.830 * [taylor]: Taking taylor expansion of 2 in n 9.830 * [backup-simplify]: Simplify 2 into 2 9.830 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.830 * [taylor]: Taking taylor expansion of n in n 9.830 * [backup-simplify]: Simplify 0 into 0 9.830 * [backup-simplify]: Simplify 1 into 1 9.830 * [backup-simplify]: Simplify (/ 1 1) into 1 9.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.831 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.831 * [backup-simplify]: Simplify (- 0) into 0 9.831 * [backup-simplify]: Simplify 0 into 0 9.831 * [backup-simplify]: Simplify 0 into 0 9.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.832 * [backup-simplify]: Simplify (- 0) into 0 9.832 * [backup-simplify]: Simplify (+ 0 0) into 0 9.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.833 * [backup-simplify]: Simplify (+ 0 0) into 0 9.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 9.835 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 9.835 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.835 * [taylor]: Taking taylor expansion of 2 in n 9.835 * [backup-simplify]: Simplify 2 into 2 9.835 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.835 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.835 * [taylor]: Taking taylor expansion of n in n 9.835 * [backup-simplify]: Simplify 0 into 0 9.835 * [backup-simplify]: Simplify 1 into 1 9.835 * [backup-simplify]: Simplify (* 1 1) into 1 9.835 * [backup-simplify]: Simplify (/ 1 1) into 1 9.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.838 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.838 * [backup-simplify]: Simplify 0 into 0 9.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.839 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.839 * [backup-simplify]: Simplify (- 0) into 0 9.839 * [backup-simplify]: Simplify 0 into 0 9.839 * [backup-simplify]: Simplify 0 into 0 9.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.840 * [backup-simplify]: Simplify (- 0) into 0 9.841 * [backup-simplify]: Simplify (+ 0 0) into 0 9.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.841 * [backup-simplify]: Simplify (+ 0 0) into 0 9.842 * [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))) 9.843 * [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)))) 9.843 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.843 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.843 * [taylor]: Taking taylor expansion of 2 in n 9.843 * [backup-simplify]: Simplify 2 into 2 9.843 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.843 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.843 * [taylor]: Taking taylor expansion of n in n 9.843 * [backup-simplify]: Simplify 0 into 0 9.843 * [backup-simplify]: Simplify 1 into 1 9.843 * [backup-simplify]: Simplify (* 1 1) into 1 9.844 * [backup-simplify]: Simplify (* 1 1) into 1 9.844 * [backup-simplify]: Simplify (/ 1 1) into 1 9.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.849 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.849 * [backup-simplify]: Simplify (- 0) into 0 9.849 * [backup-simplify]: Simplify 0 into 0 9.850 * [backup-simplify]: Simplify 1 into 1 9.850 * * * * [progress]: [ 3 / 4 ] generating series at (2) 9.850 * [backup-simplify]: Simplify (/ -1 (log (exp (/ 1 (/ (+ f n) (- f n)))))) into (* -1 (/ (+ n f) (- f n))) 9.850 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 9.850 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 9.850 * [taylor]: Taking taylor expansion of -1 in n 9.850 * [backup-simplify]: Simplify -1 into -1 9.850 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 9.850 * [taylor]: Taking taylor expansion of (+ n f) 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 f in n 9.850 * [backup-simplify]: Simplify f into f 9.850 * [taylor]: Taking taylor expansion of (- f n) in n 9.850 * [taylor]: Taking taylor expansion of f in n 9.850 * [backup-simplify]: Simplify f into f 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 * [backup-simplify]: Simplify (+ 0 f) into f 9.850 * [backup-simplify]: Simplify (- 0) into 0 9.850 * [backup-simplify]: Simplify (+ f 0) into f 9.850 * [backup-simplify]: Simplify (/ f f) into 1 9.850 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 9.850 * [taylor]: Taking taylor expansion of -1 in f 9.850 * [backup-simplify]: Simplify -1 into -1 9.850 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 9.850 * [taylor]: Taking taylor expansion of (+ n f) in f 9.851 * [taylor]: Taking taylor expansion of n in f 9.851 * [backup-simplify]: Simplify n into n 9.851 * [taylor]: Taking taylor expansion of f in f 9.851 * [backup-simplify]: Simplify 0 into 0 9.851 * [backup-simplify]: Simplify 1 into 1 9.851 * [taylor]: Taking taylor expansion of (- f n) in f 9.851 * [taylor]: Taking taylor expansion of f in f 9.851 * [backup-simplify]: Simplify 0 into 0 9.851 * [backup-simplify]: Simplify 1 into 1 9.851 * [taylor]: Taking taylor expansion of n in f 9.851 * [backup-simplify]: Simplify n into n 9.851 * [backup-simplify]: Simplify (+ n 0) into n 9.851 * [backup-simplify]: Simplify (- n) into (- n) 9.851 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.851 * [backup-simplify]: Simplify (/ n (- n)) into -1 9.851 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 9.851 * [taylor]: Taking taylor expansion of -1 in f 9.851 * [backup-simplify]: Simplify -1 into -1 9.851 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 9.851 * [taylor]: Taking taylor expansion of (+ n f) in f 9.851 * [taylor]: Taking taylor expansion of n in f 9.851 * [backup-simplify]: Simplify n into n 9.851 * [taylor]: Taking taylor expansion of f in f 9.851 * [backup-simplify]: Simplify 0 into 0 9.851 * [backup-simplify]: Simplify 1 into 1 9.851 * [taylor]: Taking taylor expansion of (- f n) in f 9.851 * [taylor]: Taking taylor expansion of f in f 9.851 * [backup-simplify]: Simplify 0 into 0 9.851 * [backup-simplify]: Simplify 1 into 1 9.851 * [taylor]: Taking taylor expansion of n in f 9.851 * [backup-simplify]: Simplify n into n 9.851 * [backup-simplify]: Simplify (+ n 0) into n 9.851 * [backup-simplify]: Simplify (- n) into (- n) 9.851 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.851 * [backup-simplify]: Simplify (/ n (- n)) into -1 9.851 * [backup-simplify]: Simplify (* -1 -1) into 1 9.851 * [taylor]: Taking taylor expansion of 1 in n 9.851 * [backup-simplify]: Simplify 1 into 1 9.851 * [backup-simplify]: Simplify 1 into 1 9.852 * [backup-simplify]: Simplify (+ 0 1) into 1 9.852 * [backup-simplify]: Simplify (- 0) into 0 9.852 * [backup-simplify]: Simplify (+ 1 0) into 1 9.852 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 9.853 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 9.853 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.853 * [taylor]: Taking taylor expansion of 2 in n 9.853 * [backup-simplify]: Simplify 2 into 2 9.853 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.853 * [taylor]: Taking taylor expansion of n in n 9.853 * [backup-simplify]: Simplify 0 into 0 9.853 * [backup-simplify]: Simplify 1 into 1 9.853 * [backup-simplify]: Simplify (/ 1 1) into 1 9.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.854 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.854 * [backup-simplify]: Simplify 0 into 0 9.854 * [backup-simplify]: Simplify 0 into 0 9.854 * [backup-simplify]: Simplify (+ 0 0) into 0 9.854 * [backup-simplify]: Simplify (- 0) into 0 9.855 * [backup-simplify]: Simplify (+ 0 0) into 0 9.855 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 9.855 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 9.855 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.855 * [taylor]: Taking taylor expansion of 2 in n 9.855 * [backup-simplify]: Simplify 2 into 2 9.855 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.855 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.855 * [taylor]: Taking taylor expansion of n in n 9.855 * [backup-simplify]: Simplify 0 into 0 9.856 * [backup-simplify]: Simplify 1 into 1 9.856 * [backup-simplify]: Simplify (* 1 1) into 1 9.856 * [backup-simplify]: Simplify (/ 1 1) into 1 9.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.860 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.861 * [backup-simplify]: Simplify 0 into 0 9.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.863 * [backup-simplify]: Simplify 0 into 0 9.863 * [backup-simplify]: Simplify 0 into 0 9.863 * [backup-simplify]: Simplify (+ 0 0) into 0 9.863 * [backup-simplify]: Simplify (- 0) into 0 9.864 * [backup-simplify]: Simplify (+ 0 0) into 0 9.864 * [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)))) 9.865 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 9.865 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.865 * [taylor]: Taking taylor expansion of 2 in n 9.865 * [backup-simplify]: Simplify 2 into 2 9.866 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.866 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.866 * [taylor]: Taking taylor expansion of n in n 9.866 * [backup-simplify]: Simplify 0 into 0 9.866 * [backup-simplify]: Simplify 1 into 1 9.866 * [backup-simplify]: Simplify (* 1 1) into 1 9.867 * [backup-simplify]: Simplify (* 1 1) into 1 9.867 * [backup-simplify]: Simplify (/ 1 1) into 1 9.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.877 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.877 * [backup-simplify]: Simplify 0 into 0 9.877 * [backup-simplify]: Simplify 1 into 1 9.877 * [backup-simplify]: Simplify (/ -1 (log (exp (/ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 9.877 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 9.877 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 9.877 * [taylor]: Taking taylor expansion of -1 in n 9.877 * [backup-simplify]: Simplify -1 into -1 9.877 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 9.877 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.877 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.877 * [taylor]: Taking taylor expansion of f in n 9.877 * [backup-simplify]: Simplify f into f 9.877 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.877 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.877 * [taylor]: Taking taylor expansion of n in n 9.877 * [backup-simplify]: Simplify 0 into 0 9.877 * [backup-simplify]: Simplify 1 into 1 9.878 * [backup-simplify]: Simplify (/ 1 1) into 1 9.878 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 9.878 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.878 * [taylor]: Taking taylor expansion of f in n 9.878 * [backup-simplify]: Simplify f into f 9.878 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.878 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.878 * [taylor]: Taking taylor expansion of n in n 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [backup-simplify]: Simplify 1 into 1 9.879 * [backup-simplify]: Simplify (/ 1 1) into 1 9.879 * [backup-simplify]: Simplify (+ 0 1) into 1 9.880 * [backup-simplify]: Simplify (- 1) into -1 9.880 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.881 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.881 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 9.881 * [taylor]: Taking taylor expansion of -1 in f 9.881 * [backup-simplify]: Simplify -1 into -1 9.881 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 9.881 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.881 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.881 * [taylor]: Taking taylor expansion of f in f 9.881 * [backup-simplify]: Simplify 0 into 0 9.881 * [backup-simplify]: Simplify 1 into 1 9.882 * [backup-simplify]: Simplify (/ 1 1) into 1 9.882 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.882 * [taylor]: Taking taylor expansion of n in f 9.882 * [backup-simplify]: Simplify n into n 9.882 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.882 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.882 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.882 * [taylor]: Taking taylor expansion of f in f 9.882 * [backup-simplify]: Simplify 0 into 0 9.882 * [backup-simplify]: Simplify 1 into 1 9.882 * [backup-simplify]: Simplify (/ 1 1) into 1 9.883 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.883 * [taylor]: Taking taylor expansion of n in f 9.883 * [backup-simplify]: Simplify n into n 9.883 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.883 * [backup-simplify]: Simplify (+ 1 0) into 1 9.884 * [backup-simplify]: Simplify (+ 1 0) into 1 9.884 * [backup-simplify]: Simplify (/ 1 1) into 1 9.884 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 9.884 * [taylor]: Taking taylor expansion of -1 in f 9.884 * [backup-simplify]: Simplify -1 into -1 9.884 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 9.884 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.884 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.884 * [taylor]: Taking taylor expansion of f in f 9.884 * [backup-simplify]: Simplify 0 into 0 9.884 * [backup-simplify]: Simplify 1 into 1 9.885 * [backup-simplify]: Simplify (/ 1 1) into 1 9.885 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.885 * [taylor]: Taking taylor expansion of n in f 9.885 * [backup-simplify]: Simplify n into n 9.885 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.885 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.885 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.885 * [taylor]: Taking taylor expansion of f in f 9.885 * [backup-simplify]: Simplify 0 into 0 9.885 * [backup-simplify]: Simplify 1 into 1 9.886 * [backup-simplify]: Simplify (/ 1 1) into 1 9.886 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.886 * [taylor]: Taking taylor expansion of n in f 9.886 * [backup-simplify]: Simplify n into n 9.886 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.886 * [backup-simplify]: Simplify (+ 1 0) into 1 9.887 * [backup-simplify]: Simplify (+ 1 0) into 1 9.887 * [backup-simplify]: Simplify (/ 1 1) into 1 9.888 * [backup-simplify]: Simplify (* -1 1) into -1 9.888 * [taylor]: Taking taylor expansion of -1 in n 9.888 * [backup-simplify]: Simplify -1 into -1 9.888 * [backup-simplify]: Simplify -1 into -1 9.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.889 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.890 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 9.890 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 9.890 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 9.890 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 9.891 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.891 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.891 * [taylor]: Taking taylor expansion of 2 in n 9.891 * [backup-simplify]: Simplify 2 into 2 9.891 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.891 * [taylor]: Taking taylor expansion of n in n 9.891 * [backup-simplify]: Simplify 0 into 0 9.891 * [backup-simplify]: Simplify 1 into 1 9.891 * [backup-simplify]: Simplify (/ 1 1) into 1 9.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.893 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.893 * [backup-simplify]: Simplify (- 0) into 0 9.893 * [backup-simplify]: Simplify 0 into 0 9.893 * [backup-simplify]: Simplify 0 into 0 9.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.895 * [backup-simplify]: Simplify (+ 0 0) into 0 9.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.896 * [backup-simplify]: Simplify (- 0) into 0 9.896 * [backup-simplify]: Simplify (+ 0 0) into 0 9.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 9.899 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 9.899 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 9.899 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.899 * [taylor]: Taking taylor expansion of 2 in n 9.899 * [backup-simplify]: Simplify 2 into 2 9.899 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.899 * [taylor]: Taking taylor expansion of (pow n 2) 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 * [backup-simplify]: Simplify (* 1 1) into 1 9.900 * [backup-simplify]: Simplify (/ 1 1) into 1 9.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.902 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.902 * [backup-simplify]: Simplify (- 0) into 0 9.902 * [backup-simplify]: Simplify 0 into 0 9.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.904 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.904 * [backup-simplify]: Simplify (- 0) into 0 9.904 * [backup-simplify]: Simplify 0 into 0 9.904 * [backup-simplify]: Simplify 0 into 0 9.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.905 * [backup-simplify]: Simplify (+ 0 0) into 0 9.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.906 * [backup-simplify]: Simplify (- 0) into 0 9.906 * [backup-simplify]: Simplify (+ 0 0) into 0 9.907 * [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))) 9.908 * [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)))) 9.908 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.908 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.908 * [taylor]: Taking taylor expansion of 2 in n 9.908 * [backup-simplify]: Simplify 2 into 2 9.908 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.908 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.908 * [taylor]: Taking taylor expansion of n in n 9.908 * [backup-simplify]: Simplify 0 into 0 9.908 * [backup-simplify]: Simplify 1 into 1 9.909 * [backup-simplify]: Simplify (* 1 1) into 1 9.909 * [backup-simplify]: Simplify (* 1 1) into 1 9.909 * [backup-simplify]: Simplify (/ 1 1) into 1 9.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.915 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.915 * [backup-simplify]: Simplify (- 0) into 0 9.915 * [backup-simplify]: Simplify 0 into 0 9.915 * [backup-simplify]: Simplify -1 into -1 9.915 * [backup-simplify]: Simplify (/ -1 (log (exp (/ 1 (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 9.915 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 9.915 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 9.915 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.915 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.915 * [taylor]: Taking taylor expansion of f in n 9.915 * [backup-simplify]: Simplify f into f 9.915 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.915 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.915 * [taylor]: Taking taylor expansion of n in n 9.915 * [backup-simplify]: Simplify 0 into 0 9.915 * [backup-simplify]: Simplify 1 into 1 9.916 * [backup-simplify]: Simplify (/ 1 1) into 1 9.916 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 9.916 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.916 * [taylor]: Taking taylor expansion of n in n 9.916 * [backup-simplify]: Simplify 0 into 0 9.916 * [backup-simplify]: Simplify 1 into 1 9.916 * [backup-simplify]: Simplify (/ 1 1) into 1 9.916 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.916 * [taylor]: Taking taylor expansion of f in n 9.916 * [backup-simplify]: Simplify f into f 9.916 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.916 * [backup-simplify]: Simplify (+ 0 1) into 1 9.917 * [backup-simplify]: Simplify (+ 1 0) into 1 9.917 * [backup-simplify]: Simplify (/ 1 1) into 1 9.917 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 9.917 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.917 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.917 * [taylor]: Taking taylor expansion of f in f 9.917 * [backup-simplify]: Simplify 0 into 0 9.917 * [backup-simplify]: Simplify 1 into 1 9.917 * [backup-simplify]: Simplify (/ 1 1) into 1 9.917 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.917 * [taylor]: Taking taylor expansion of n in f 9.917 * [backup-simplify]: Simplify n into n 9.917 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.917 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.917 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.917 * [taylor]: Taking taylor expansion of n in f 9.917 * [backup-simplify]: Simplify n into n 9.917 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.917 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.917 * [taylor]: Taking taylor expansion of f in f 9.917 * [backup-simplify]: Simplify 0 into 0 9.917 * [backup-simplify]: Simplify 1 into 1 9.918 * [backup-simplify]: Simplify (/ 1 1) into 1 9.918 * [backup-simplify]: Simplify (+ 1 0) into 1 9.918 * [backup-simplify]: Simplify (- 1) into -1 9.918 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.919 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.919 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 9.919 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.919 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.919 * [taylor]: Taking taylor expansion of f in f 9.919 * [backup-simplify]: Simplify 0 into 0 9.919 * [backup-simplify]: Simplify 1 into 1 9.919 * [backup-simplify]: Simplify (/ 1 1) into 1 9.919 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.919 * [taylor]: Taking taylor expansion of n in f 9.919 * [backup-simplify]: Simplify n into n 9.919 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.919 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.919 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.919 * [taylor]: Taking taylor expansion of n in f 9.919 * [backup-simplify]: Simplify n into n 9.919 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.919 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.919 * [taylor]: Taking taylor expansion of f in f 9.919 * [backup-simplify]: Simplify 0 into 0 9.919 * [backup-simplify]: Simplify 1 into 1 9.920 * [backup-simplify]: Simplify (/ 1 1) into 1 9.920 * [backup-simplify]: Simplify (+ 1 0) into 1 9.920 * [backup-simplify]: Simplify (- 1) into -1 9.920 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.921 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.921 * [taylor]: Taking taylor expansion of -1 in n 9.921 * [backup-simplify]: Simplify -1 into -1 9.921 * [backup-simplify]: Simplify -1 into -1 9.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.921 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.922 * [backup-simplify]: Simplify (- 0) into 0 9.922 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 9.922 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 9.922 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.922 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.922 * [taylor]: Taking taylor expansion of 2 in n 9.922 * [backup-simplify]: Simplify 2 into 2 9.922 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.922 * [taylor]: Taking taylor expansion of n in n 9.922 * [backup-simplify]: Simplify 0 into 0 9.922 * [backup-simplify]: Simplify 1 into 1 9.922 * [backup-simplify]: Simplify (/ 1 1) into 1 9.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.923 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.924 * [backup-simplify]: Simplify (- 0) into 0 9.924 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.925 * [backup-simplify]: Simplify (+ 0 0) into 0 9.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.925 * [backup-simplify]: Simplify (- 0) into 0 9.926 * [backup-simplify]: Simplify (+ 0 0) into 0 9.926 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 9.926 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 9.926 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.926 * [taylor]: Taking taylor expansion of 2 in n 9.926 * [backup-simplify]: Simplify 2 into 2 9.926 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.926 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.926 * [taylor]: Taking taylor expansion of n in n 9.926 * [backup-simplify]: Simplify 0 into 0 9.926 * [backup-simplify]: Simplify 1 into 1 9.927 * [backup-simplify]: Simplify (* 1 1) into 1 9.927 * [backup-simplify]: Simplify (/ 1 1) into 1 9.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.929 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.930 * [backup-simplify]: Simplify (- 0) into 0 9.930 * [backup-simplify]: Simplify 0 into 0 9.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.931 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.931 * [backup-simplify]: Simplify (- 0) into 0 9.931 * [backup-simplify]: Simplify 0 into 0 9.931 * [backup-simplify]: Simplify 0 into 0 9.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.933 * [backup-simplify]: Simplify (+ 0 0) into 0 9.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.934 * [backup-simplify]: Simplify (- 0) into 0 9.934 * [backup-simplify]: Simplify (+ 0 0) into 0 9.936 * [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)))) 9.936 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.936 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.936 * [taylor]: Taking taylor expansion of 2 in n 9.936 * [backup-simplify]: Simplify 2 into 2 9.936 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.936 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.936 * [taylor]: Taking taylor expansion of n in n 9.936 * [backup-simplify]: Simplify 0 into 0 9.937 * [backup-simplify]: Simplify 1 into 1 9.937 * [backup-simplify]: Simplify (* 1 1) into 1 9.937 * [backup-simplify]: Simplify (* 1 1) into 1 9.938 * [backup-simplify]: Simplify (/ 1 1) into 1 9.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.947 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.948 * [backup-simplify]: Simplify (- 0) into 0 9.948 * [backup-simplify]: Simplify 0 into 0 9.948 * [backup-simplify]: Simplify -1 into -1 9.948 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 9.948 * [backup-simplify]: Simplify (log (exp (/ 1 (/ (+ f n) (- f n))))) into (/ (- f n) (+ n f)) 9.948 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 9.948 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 9.948 * [taylor]: Taking taylor expansion of (- f n) in n 9.948 * [taylor]: Taking taylor expansion of f in n 9.948 * [backup-simplify]: Simplify f into f 9.948 * [taylor]: Taking taylor expansion of n in n 9.948 * [backup-simplify]: Simplify 0 into 0 9.948 * [backup-simplify]: Simplify 1 into 1 9.948 * [taylor]: Taking taylor expansion of (+ n f) in n 9.949 * [taylor]: Taking taylor expansion of n in n 9.949 * [backup-simplify]: Simplify 0 into 0 9.949 * [backup-simplify]: Simplify 1 into 1 9.949 * [taylor]: Taking taylor expansion of f in n 9.949 * [backup-simplify]: Simplify f into f 9.949 * [backup-simplify]: Simplify (- 0) into 0 9.949 * [backup-simplify]: Simplify (+ f 0) into f 9.949 * [backup-simplify]: Simplify (+ 0 f) into f 9.949 * [backup-simplify]: Simplify (/ f f) into 1 9.949 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 9.949 * [taylor]: Taking taylor expansion of (- f n) in f 9.949 * [taylor]: Taking taylor expansion of f in f 9.949 * [backup-simplify]: Simplify 0 into 0 9.949 * [backup-simplify]: Simplify 1 into 1 9.949 * [taylor]: Taking taylor expansion of n in f 9.949 * [backup-simplify]: Simplify n into n 9.949 * [taylor]: Taking taylor expansion of (+ n f) in f 9.950 * [taylor]: Taking taylor expansion of n in f 9.950 * [backup-simplify]: Simplify n into n 9.950 * [taylor]: Taking taylor expansion of f in f 9.950 * [backup-simplify]: Simplify 0 into 0 9.950 * [backup-simplify]: Simplify 1 into 1 9.950 * [backup-simplify]: Simplify (- n) into (- n) 9.950 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.950 * [backup-simplify]: Simplify (+ n 0) into n 9.950 * [backup-simplify]: Simplify (/ (- n) n) into -1 9.950 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 9.950 * [taylor]: Taking taylor expansion of (- f n) in f 9.950 * [taylor]: Taking taylor expansion of f in f 9.950 * [backup-simplify]: Simplify 0 into 0 9.950 * [backup-simplify]: Simplify 1 into 1 9.950 * [taylor]: Taking taylor expansion of n in f 9.950 * [backup-simplify]: Simplify n into n 9.950 * [taylor]: Taking taylor expansion of (+ n f) in f 9.950 * [taylor]: Taking taylor expansion of n in f 9.950 * [backup-simplify]: Simplify n into n 9.950 * [taylor]: Taking taylor expansion of f in f 9.950 * [backup-simplify]: Simplify 0 into 0 9.950 * [backup-simplify]: Simplify 1 into 1 9.950 * [backup-simplify]: Simplify (- n) into (- n) 9.950 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.950 * [backup-simplify]: Simplify (+ n 0) into n 9.950 * [backup-simplify]: Simplify (/ (- n) n) into -1 9.950 * [taylor]: Taking taylor expansion of -1 in n 9.950 * [backup-simplify]: Simplify -1 into -1 9.951 * [backup-simplify]: Simplify -1 into -1 9.951 * [backup-simplify]: Simplify (- 0) into 0 9.951 * [backup-simplify]: Simplify (+ 1 0) into 1 9.952 * [backup-simplify]: Simplify (+ 0 1) into 1 9.952 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 9.952 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.952 * [taylor]: Taking taylor expansion of 2 in n 9.952 * [backup-simplify]: Simplify 2 into 2 9.952 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.952 * [taylor]: Taking taylor expansion of n in n 9.952 * [backup-simplify]: Simplify 0 into 0 9.952 * [backup-simplify]: Simplify 1 into 1 9.953 * [backup-simplify]: Simplify (/ 1 1) into 1 9.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.954 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.954 * [backup-simplify]: Simplify 0 into 0 9.954 * [backup-simplify]: Simplify 0 into 0 9.955 * [backup-simplify]: Simplify (- 0) into 0 9.955 * [backup-simplify]: Simplify (+ 0 0) into 0 9.955 * [backup-simplify]: Simplify (+ 0 0) into 0 9.956 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 9.956 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 9.956 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.956 * [taylor]: Taking taylor expansion of 2 in n 9.956 * [backup-simplify]: Simplify 2 into 2 9.956 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.956 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.956 * [taylor]: Taking taylor expansion of n in n 9.956 * [backup-simplify]: Simplify 0 into 0 9.956 * [backup-simplify]: Simplify 1 into 1 9.956 * [backup-simplify]: Simplify (* 1 1) into 1 9.956 * [backup-simplify]: Simplify (/ 1 1) into 1 9.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.959 * [backup-simplify]: Simplify (- 0) into 0 9.959 * [backup-simplify]: Simplify 0 into 0 9.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.960 * [backup-simplify]: Simplify 0 into 0 9.960 * [backup-simplify]: Simplify 0 into 0 9.960 * [backup-simplify]: Simplify (- 0) into 0 9.961 * [backup-simplify]: Simplify (+ 0 0) into 0 9.961 * [backup-simplify]: Simplify (+ 0 0) into 0 9.961 * [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))) 9.961 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.961 * [taylor]: Taking taylor expansion of 2 in n 9.961 * [backup-simplify]: Simplify 2 into 2 9.961 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.961 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.961 * [taylor]: Taking taylor expansion of n in n 9.961 * [backup-simplify]: Simplify 0 into 0 9.961 * [backup-simplify]: Simplify 1 into 1 9.962 * [backup-simplify]: Simplify (* 1 1) into 1 9.962 * [backup-simplify]: Simplify (* 1 1) into 1 9.962 * [backup-simplify]: Simplify (/ 1 1) into 1 9.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.967 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.967 * [backup-simplify]: Simplify 0 into 0 9.967 * [backup-simplify]: Simplify -1 into -1 9.968 * [backup-simplify]: Simplify (log (exp (/ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 9.968 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 9.968 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 9.968 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 9.968 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.968 * [taylor]: Taking taylor expansion of f in n 9.968 * [backup-simplify]: Simplify f into f 9.968 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.968 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.968 * [taylor]: Taking taylor expansion of n in n 9.968 * [backup-simplify]: Simplify 0 into 0 9.968 * [backup-simplify]: Simplify 1 into 1 9.968 * [backup-simplify]: Simplify (/ 1 1) into 1 9.968 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.968 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.968 * [taylor]: Taking taylor expansion of f in n 9.968 * [backup-simplify]: Simplify f into f 9.968 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.968 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.968 * [taylor]: Taking taylor expansion of n in n 9.968 * [backup-simplify]: Simplify 0 into 0 9.968 * [backup-simplify]: Simplify 1 into 1 9.969 * [backup-simplify]: Simplify (/ 1 1) into 1 9.969 * [backup-simplify]: Simplify (- 1) into -1 9.969 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.969 * [backup-simplify]: Simplify (+ 0 1) into 1 9.970 * [backup-simplify]: Simplify (/ -1 1) into -1 9.970 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 9.970 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.970 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.970 * [taylor]: Taking taylor expansion of f in f 9.970 * [backup-simplify]: Simplify 0 into 0 9.970 * [backup-simplify]: Simplify 1 into 1 9.970 * [backup-simplify]: Simplify (/ 1 1) into 1 9.970 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.970 * [taylor]: Taking taylor expansion of n in f 9.970 * [backup-simplify]: Simplify n into n 9.970 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.970 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.970 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.970 * [taylor]: Taking taylor expansion of f in f 9.970 * [backup-simplify]: Simplify 0 into 0 9.970 * [backup-simplify]: Simplify 1 into 1 9.970 * [backup-simplify]: Simplify (/ 1 1) into 1 9.970 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.970 * [taylor]: Taking taylor expansion of n in f 9.970 * [backup-simplify]: Simplify n into n 9.970 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.971 * [backup-simplify]: Simplify (+ 1 0) into 1 9.971 * [backup-simplify]: Simplify (+ 1 0) into 1 9.971 * [backup-simplify]: Simplify (/ 1 1) into 1 9.971 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 9.971 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.971 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.971 * [taylor]: Taking taylor expansion of f in f 9.971 * [backup-simplify]: Simplify 0 into 0 9.971 * [backup-simplify]: Simplify 1 into 1 9.972 * [backup-simplify]: Simplify (/ 1 1) into 1 9.972 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.972 * [taylor]: Taking taylor expansion of n in f 9.972 * [backup-simplify]: Simplify n into n 9.972 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.972 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.972 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.972 * [taylor]: Taking taylor expansion of f in f 9.972 * [backup-simplify]: Simplify 0 into 0 9.972 * [backup-simplify]: Simplify 1 into 1 9.972 * [backup-simplify]: Simplify (/ 1 1) into 1 9.972 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.972 * [taylor]: Taking taylor expansion of n in f 9.972 * [backup-simplify]: Simplify n into n 9.972 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.972 * [backup-simplify]: Simplify (+ 1 0) into 1 9.973 * [backup-simplify]: Simplify (+ 1 0) into 1 9.973 * [backup-simplify]: Simplify (/ 1 1) into 1 9.973 * [taylor]: Taking taylor expansion of 1 in n 9.973 * [backup-simplify]: Simplify 1 into 1 9.973 * [backup-simplify]: Simplify 1 into 1 9.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.973 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 9.973 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 9.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.974 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.974 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 9.974 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.974 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.974 * [taylor]: Taking taylor expansion of 2 in n 9.974 * [backup-simplify]: Simplify 2 into 2 9.974 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.974 * [taylor]: Taking taylor expansion of n in n 9.974 * [backup-simplify]: Simplify 0 into 0 9.974 * [backup-simplify]: Simplify 1 into 1 9.974 * [backup-simplify]: Simplify (/ 1 1) into 1 9.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.975 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.976 * [backup-simplify]: Simplify (- 0) into 0 9.976 * [backup-simplify]: Simplify 0 into 0 9.976 * [backup-simplify]: Simplify 0 into 0 9.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.977 * [backup-simplify]: Simplify (- 0) into 0 9.977 * [backup-simplify]: Simplify (+ 0 0) into 0 9.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.978 * [backup-simplify]: Simplify (+ 0 0) into 0 9.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 9.978 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.978 * [taylor]: Taking taylor expansion of 2 in n 9.978 * [backup-simplify]: Simplify 2 into 2 9.978 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.978 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.978 * [taylor]: Taking taylor expansion of n in n 9.978 * [backup-simplify]: Simplify 0 into 0 9.978 * [backup-simplify]: Simplify 1 into 1 9.979 * [backup-simplify]: Simplify (* 1 1) into 1 9.979 * [backup-simplify]: Simplify (/ 1 1) into 1 9.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.982 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.982 * [backup-simplify]: Simplify 0 into 0 9.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.983 * [backup-simplify]: Simplify (- 0) into 0 9.983 * [backup-simplify]: Simplify 0 into 0 9.983 * [backup-simplify]: Simplify 0 into 0 9.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.985 * [backup-simplify]: Simplify (- 0) into 0 9.985 * [backup-simplify]: Simplify (+ 0 0) into 0 9.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.986 * [backup-simplify]: Simplify (+ 0 0) into 0 9.988 * [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)))) 9.988 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.988 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.988 * [taylor]: Taking taylor expansion of 2 in n 9.988 * [backup-simplify]: Simplify 2 into 2 9.988 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.988 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.988 * [taylor]: Taking taylor expansion of n in n 9.988 * [backup-simplify]: Simplify 0 into 0 9.988 * [backup-simplify]: Simplify 1 into 1 9.989 * [backup-simplify]: Simplify (* 1 1) into 1 9.989 * [backup-simplify]: Simplify (* 1 1) into 1 9.990 * [backup-simplify]: Simplify (/ 1 1) into 1 9.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.000 * [backup-simplify]: Simplify (- 0) into 0 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify 1 into 1 10.000 * [backup-simplify]: Simplify (log (exp (/ 1 (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 10.000 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 10.000 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 10.000 * [taylor]: Taking taylor expansion of -1 in n 10.000 * [backup-simplify]: Simplify -1 into -1 10.000 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 10.000 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 10.000 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.000 * [taylor]: Taking taylor expansion of n in n 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify 1 into 1 10.001 * [backup-simplify]: Simplify (/ 1 1) into 1 10.001 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.001 * [taylor]: Taking taylor expansion of f in n 10.001 * [backup-simplify]: Simplify f into f 10.001 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.001 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 10.001 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.001 * [taylor]: Taking taylor expansion of f in n 10.001 * [backup-simplify]: Simplify f into f 10.001 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.001 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.001 * [taylor]: Taking taylor expansion of n in n 10.001 * [backup-simplify]: Simplify 0 into 0 10.001 * [backup-simplify]: Simplify 1 into 1 10.001 * [backup-simplify]: Simplify (/ 1 1) into 1 10.001 * [backup-simplify]: Simplify (+ 1 0) into 1 10.002 * [backup-simplify]: Simplify (+ 0 1) into 1 10.002 * [backup-simplify]: Simplify (/ 1 1) into 1 10.002 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 10.002 * [taylor]: Taking taylor expansion of -1 in f 10.002 * [backup-simplify]: Simplify -1 into -1 10.002 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 10.002 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.002 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.002 * [taylor]: Taking taylor expansion of n in f 10.002 * [backup-simplify]: Simplify n into n 10.002 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.002 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.002 * [taylor]: Taking taylor expansion of f in f 10.002 * [backup-simplify]: Simplify 0 into 0 10.002 * [backup-simplify]: Simplify 1 into 1 10.002 * [backup-simplify]: Simplify (/ 1 1) into 1 10.002 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.002 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.002 * [taylor]: Taking taylor expansion of f in f 10.002 * [backup-simplify]: Simplify 0 into 0 10.002 * [backup-simplify]: Simplify 1 into 1 10.003 * [backup-simplify]: Simplify (/ 1 1) into 1 10.003 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.003 * [taylor]: Taking taylor expansion of n in f 10.003 * [backup-simplify]: Simplify n into n 10.003 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.004 * [backup-simplify]: Simplify (- 1) into -1 10.005 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.005 * [backup-simplify]: Simplify (+ 1 0) into 1 10.005 * [backup-simplify]: Simplify (/ -1 1) into -1 10.005 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 10.005 * [taylor]: Taking taylor expansion of -1 in f 10.005 * [backup-simplify]: Simplify -1 into -1 10.005 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 10.005 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.005 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.005 * [taylor]: Taking taylor expansion of n in f 10.005 * [backup-simplify]: Simplify n into n 10.005 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.005 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.005 * [taylor]: Taking taylor expansion of f in f 10.005 * [backup-simplify]: Simplify 0 into 0 10.005 * [backup-simplify]: Simplify 1 into 1 10.006 * [backup-simplify]: Simplify (/ 1 1) into 1 10.006 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.006 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.006 * [taylor]: Taking taylor expansion of f in f 10.006 * [backup-simplify]: Simplify 0 into 0 10.006 * [backup-simplify]: Simplify 1 into 1 10.006 * [backup-simplify]: Simplify (/ 1 1) into 1 10.006 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.006 * [taylor]: Taking taylor expansion of n in f 10.006 * [backup-simplify]: Simplify n into n 10.006 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.006 * [backup-simplify]: Simplify (- 1) into -1 10.007 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.007 * [backup-simplify]: Simplify (+ 1 0) into 1 10.007 * [backup-simplify]: Simplify (/ -1 1) into -1 10.007 * [backup-simplify]: Simplify (* -1 -1) into 1 10.007 * [taylor]: Taking taylor expansion of 1 in n 10.007 * [backup-simplify]: Simplify 1 into 1 10.007 * [backup-simplify]: Simplify 1 into 1 10.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.008 * [backup-simplify]: Simplify (- 0) into 0 10.008 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 10.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.009 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.009 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 10.009 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 10.009 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 10.009 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 10.009 * [taylor]: Taking taylor expansion of 2 in n 10.009 * [backup-simplify]: Simplify 2 into 2 10.009 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.009 * [taylor]: Taking taylor expansion of n in n 10.009 * [backup-simplify]: Simplify 0 into 0 10.009 * [backup-simplify]: Simplify 1 into 1 10.010 * [backup-simplify]: Simplify (/ 1 1) into 1 10.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.010 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.011 * [backup-simplify]: Simplify (- 0) into 0 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.012 * [backup-simplify]: Simplify (- 0) into 0 10.012 * [backup-simplify]: Simplify (+ 0 0) into 0 10.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.013 * [backup-simplify]: Simplify (+ 0 0) into 0 10.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 10.014 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 10.014 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 10.014 * [taylor]: Taking taylor expansion of 2 in n 10.014 * [backup-simplify]: Simplify 2 into 2 10.014 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.014 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.014 * [taylor]: Taking taylor expansion of n in n 10.014 * [backup-simplify]: Simplify 0 into 0 10.014 * [backup-simplify]: Simplify 1 into 1 10.014 * [backup-simplify]: Simplify (* 1 1) into 1 10.015 * [backup-simplify]: Simplify (/ 1 1) into 1 10.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.017 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.017 * [backup-simplify]: Simplify 0 into 0 10.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.018 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.018 * [backup-simplify]: Simplify (- 0) into 0 10.019 * [backup-simplify]: Simplify 0 into 0 10.019 * [backup-simplify]: Simplify 0 into 0 10.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.019 * [backup-simplify]: Simplify (- 0) into 0 10.020 * [backup-simplify]: Simplify (+ 0 0) into 0 10.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.021 * [backup-simplify]: Simplify (+ 0 0) into 0 10.022 * [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))) 10.022 * [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)))) 10.022 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 10.022 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 10.022 * [taylor]: Taking taylor expansion of 2 in n 10.022 * [backup-simplify]: Simplify 2 into 2 10.022 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 10.022 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.022 * [taylor]: Taking taylor expansion of n in n 10.022 * [backup-simplify]: Simplify 0 into 0 10.022 * [backup-simplify]: Simplify 1 into 1 10.023 * [backup-simplify]: Simplify (* 1 1) into 1 10.023 * [backup-simplify]: Simplify (* 1 1) into 1 10.023 * [backup-simplify]: Simplify (/ 1 1) into 1 10.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.029 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.029 * [backup-simplify]: Simplify (- 0) into 0 10.029 * [backup-simplify]: Simplify 0 into 0 10.030 * [backup-simplify]: Simplify 1 into 1 10.030 * * * [progress]: simplifying candidates 10.030 * * * * [progress]: [ 1 / 655 ] simplifiying candidate # 10.030 * * * * [progress]: [ 2 / 655 ] simplifiying candidate # 10.030 * * * * [progress]: [ 3 / 655 ] simplifiying candidate # 10.030 * * * * [progress]: [ 4 / 655 ] simplifiying candidate # 10.030 * * * * [progress]: [ 5 / 655 ] simplifiying candidate # 10.030 * * * * [progress]: [ 6 / 655 ] simplifiying candidate # 10.030 * * * * [progress]: [ 7 / 655 ] simplifiying candidate # 10.030 * * * * [progress]: [ 8 / 655 ] simplifiying candidate # 10.030 * * * * [progress]: [ 9 / 655 ] simplifiying candidate # 10.030 * * * * [progress]: [ 10 / 655 ] simplifiying candidate # 10.030 * * * * [progress]: [ 11 / 655 ] simplifiying candidate # 10.030 * * * * [progress]: [ 12 / 655 ] simplifiying candidate # 10.031 * * * * [progress]: [ 13 / 655 ] simplifiying candidate # 10.031 * * * * [progress]: [ 14 / 655 ] simplifiying candidate # 10.031 * * * * [progress]: [ 15 / 655 ] simplifiying candidate # 10.031 * * * * [progress]: [ 16 / 655 ] simplifiying candidate # 10.031 * * * * [progress]: [ 17 / 655 ] simplifiying candidate # 10.031 * * * * [progress]: [ 18 / 655 ] simplifiying candidate # 10.031 * * * * [progress]: [ 19 / 655 ] simplifiying candidate # 10.031 * * * * [progress]: [ 20 / 655 ] simplifiying candidate # 10.031 * * * * [progress]: [ 21 / 655 ] simplifiying candidate # 10.031 * * * * [progress]: [ 22 / 655 ] simplifiying candidate # 10.031 * * * * [progress]: [ 23 / 655 ] simplifiying candidate # 10.031 * * * * [progress]: [ 24 / 655 ] simplifiying candidate # 10.031 * * * * [progress]: [ 25 / 655 ] simplifiying candidate # 10.031 * * * * [progress]: [ 26 / 655 ] simplifiying candidate # 10.032 * * * * [progress]: [ 27 / 655 ] simplifiying candidate # 10.032 * * * * [progress]: [ 28 / 655 ] simplifiying candidate # 10.032 * * * * [progress]: [ 29 / 655 ] simplifiying candidate # 10.032 * * * * [progress]: [ 30 / 655 ] simplifiying candidate # 10.032 * * * * [progress]: [ 31 / 655 ] simplifiying candidate # 10.032 * * * * [progress]: [ 32 / 655 ] simplifiying candidate # 10.032 * * * * [progress]: [ 33 / 655 ] simplifiying candidate # 10.032 * * * * [progress]: [ 34 / 655 ] simplifiying candidate # 10.032 * * * * [progress]: [ 35 / 655 ] simplifiying candidate # 10.032 * * * * [progress]: [ 36 / 655 ] simplifiying candidate # 10.032 * * * * [progress]: [ 37 / 655 ] simplifiying candidate # 10.032 * * * * [progress]: [ 38 / 655 ] simplifiying candidate # 10.032 * * * * [progress]: [ 39 / 655 ] simplifiying candidate # 10.032 * * * * [progress]: [ 40 / 655 ] simplifiying candidate # 10.032 * * * * [progress]: [ 41 / 655 ] simplifiying candidate # 10.033 * * * * [progress]: [ 42 / 655 ] simplifiying candidate # 10.033 * * * * [progress]: [ 43 / 655 ] simplifiying candidate # 10.033 * * * * [progress]: [ 44 / 655 ] simplifiying candidate # 10.033 * * * * [progress]: [ 45 / 655 ] simplifiying candidate # 10.033 * * * * [progress]: [ 46 / 655 ] simplifiying candidate # 10.033 * * * * [progress]: [ 47 / 655 ] simplifiying candidate # 10.033 * * * * [progress]: [ 48 / 655 ] simplifiying candidate #real (real->posit16 (/ (+ f n) (- f n)))))))))> 10.033 * * * * [progress]: [ 49 / 655 ] simplifiying candidate # 10.033 * * * * [progress]: [ 50 / 655 ] simplifiying candidate # 10.033 * * * * [progress]: [ 51 / 655 ] simplifiying candidate # 10.033 * * * * [progress]: [ 52 / 655 ] simplifiying candidate # 10.033 * * * * [progress]: [ 53 / 655 ] simplifiying candidate # 10.033 * * * * [progress]: [ 54 / 655 ] simplifiying candidate # 10.033 * * * * [progress]: [ 55 / 655 ] simplifiying candidate # 10.033 * * * * [progress]: [ 56 / 655 ] simplifiying candidate # 10.034 * * * * [progress]: [ 57 / 655 ] simplifiying candidate # 10.034 * * * * [progress]: [ 58 / 655 ] simplifiying candidate # 10.034 * * * * [progress]: [ 59 / 655 ] simplifiying candidate # 10.034 * * * * [progress]: [ 60 / 655 ] simplifiying candidate # 10.034 * * * * [progress]: [ 61 / 655 ] simplifiying candidate # 10.034 * * * * [progress]: [ 62 / 655 ] simplifiying candidate # 10.034 * * * * [progress]: [ 63 / 655 ] simplifiying candidate # 10.034 * * * * [progress]: [ 64 / 655 ] simplifiying candidate # 10.034 * * * * [progress]: [ 65 / 655 ] simplifiying candidate # 10.034 * * * * [progress]: [ 66 / 655 ] simplifiying candidate # 10.034 * * * * [progress]: [ 67 / 655 ] simplifiying candidate # 10.034 * * * * [progress]: [ 68 / 655 ] simplifiying candidate # 10.034 * * * * [progress]: [ 69 / 655 ] simplifiying candidate # 10.034 * * * * [progress]: [ 70 / 655 ] simplifiying candidate # 10.034 * * * * [progress]: [ 71 / 655 ] simplifiying candidate # 10.035 * * * * [progress]: [ 72 / 655 ] simplifiying candidate # 10.035 * * * * [progress]: [ 73 / 655 ] simplifiying candidate # 10.035 * * * * [progress]: [ 74 / 655 ] simplifiying candidate # 10.035 * * * * [progress]: [ 75 / 655 ] simplifiying candidate # 10.035 * * * * [progress]: [ 76 / 655 ] simplifiying candidate # 10.035 * * * * [progress]: [ 77 / 655 ] simplifiying candidate # 10.035 * * * * [progress]: [ 78 / 655 ] simplifiying candidate # 10.035 * * * * [progress]: [ 79 / 655 ] simplifiying candidate # 10.035 * * * * [progress]: [ 80 / 655 ] simplifiying candidate # 10.035 * * * * [progress]: [ 81 / 655 ] simplifiying candidate # 10.035 * * * * [progress]: [ 82 / 655 ] simplifiying candidate # 10.035 * * * * [progress]: [ 83 / 655 ] simplifiying candidate # 10.035 * * * * [progress]: [ 84 / 655 ] simplifiying candidate # 10.036 * * * * [progress]: [ 85 / 655 ] simplifiying candidate # 10.036 * * * * [progress]: [ 86 / 655 ] simplifiying candidate # 10.036 * * * * [progress]: [ 87 / 655 ] simplifiying candidate # 10.036 * * * * [progress]: [ 88 / 655 ] simplifiying candidate # 10.036 * * * * [progress]: [ 89 / 655 ] simplifiying candidate # 10.036 * * * * [progress]: [ 90 / 655 ] simplifiying candidate # 10.036 * * * * [progress]: [ 91 / 655 ] simplifiying candidate # 10.036 * * * * [progress]: [ 92 / 655 ] simplifiying candidate # 10.036 * * * * [progress]: [ 93 / 655 ] simplifiying candidate # 10.036 * * * * [progress]: [ 94 / 655 ] simplifiying candidate # 10.036 * * * * [progress]: [ 95 / 655 ] simplifiying candidate # 10.036 * * * * [progress]: [ 96 / 655 ] simplifiying candidate # 10.036 * * * * [progress]: [ 97 / 655 ] simplifiying candidate # 10.036 * * * * [progress]: [ 98 / 655 ] simplifiying candidate # 10.037 * * * * [progress]: [ 99 / 655 ] simplifiying candidate # 10.037 * * * * [progress]: [ 100 / 655 ] simplifiying candidate # 10.037 * * * * [progress]: [ 101 / 655 ] simplifiying candidate # 10.037 * * * * [progress]: [ 102 / 655 ] simplifiying candidate # 10.037 * * * * [progress]: [ 103 / 655 ] simplifiying candidate # 10.037 * * * * 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simplifiying candidate # 10.066 * * * * [progress]: [ 643 / 655 ] simplifiying candidate #real (real->posit16 (log (exp (/ 1 (/ (+ f n) (- f n)))))))))> 10.066 * * * * [progress]: [ 644 / 655 ] simplifiying candidate # 10.066 * * * * [progress]: [ 645 / 655 ] simplifiying candidate # 10.066 * * * * [progress]: [ 646 / 655 ] simplifiying candidate # 10.066 * * * * [progress]: [ 647 / 655 ] simplifiying candidate # 10.066 * * * * [progress]: [ 648 / 655 ] simplifiying candidate # 10.066 * * * * [progress]: [ 649 / 655 ] simplifiying candidate # 10.066 * * * * [progress]: [ 650 / 655 ] simplifiying candidate # 10.066 * * * * [progress]: [ 651 / 655 ] simplifiying candidate # 10.066 * * * * [progress]: [ 652 / 655 ] simplifiying candidate # 10.066 * * * * [progress]: [ 653 / 655 ] simplifiying candidate # 10.066 * * * * [progress]: [ 654 / 655 ] simplifiying candidate # 10.066 * * * * [progress]: [ 655 / 655 ] simplifiying candidate # 10.074 * [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)) (/ (* (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))) 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5000 enodes 12.462 * * [simplify]: Extracting #0: cost 213 inf + 0 12.464 * * [simplify]: Extracting #1: cost 906 inf + 44 12.469 * * [simplify]: Extracting #2: cost 1170 inf + 3568 12.478 * * [simplify]: Extracting #3: cost 988 inf + 34165 12.502 * * [simplify]: Extracting #4: cost 454 inf + 138416 12.552 * * [simplify]: Extracting #5: cost 61 inf + 242704 12.628 * * [simplify]: Extracting #6: cost 6 inf + 258493 12.677 * * [simplify]: Extracting #7: cost 0 inf + 260011 12.773 * [simplify]: Simplified to: (expm1 (/ (+ f n) (- f n))) (log1p (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n))) (exp (/ (+ f n) (- f n))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n))) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (/ (+ f n) (- f n))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (- (- f) n) (- (- f n)) (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) 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(cbrt (- f n))) (sqrt (- f n)) 1 (+ (sqrt f) (sqrt n)) 1 1 (/ 1 (+ f n)) (/ (- (* (* f f) f) (* (* n n) n)) (+ f n)) (/ (* (+ f n) (- f n)) (+ f n)) 1 1 (/ 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 -1 1 1 1 -1 -1 -1 1 1 12.867 * * * [progress]: adding candidates to table 14.559 * [progress]: [Phase 3 of 3] Extracting. 14.560 * * [regime]: Finding splitpoints for: (# #) 14.561 * * * [regime-changes]: Trying 2 branch expressions: (n f) 14.562 * * * * [regimes]: Trying to branch on n from (# #) 14.588 * * * * [regimes]: Trying to branch on f from (# #) 14.616 * * * [regime]: Found split indices: #