0.590 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.095 * * * [progress]: [2/2] Setting up program. 0.098 * [progress]: [Phase 2 of 3] Improving. 0.100 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.101 * * [simplify]: Extracting # 0 : cost 0 0.101 * * [simplify]: Extracting # 1 : cost 0 0.101 * * [simplify]: Extracting # 2 : cost 0 0.101 * * [simplify]: Extracting # 3 : cost 0 0.101 * * [simplify]: Extracting # 4 : cost 0 0.101 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.105 * * [simplify]: Extracting # 0 : cost 0 0.105 * * [simplify]: Extracting # 1 : cost 0 0.105 * * [simplify]: Extracting # 2 : cost 0 0.105 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.108 * * [simplify]: Extracting # 0 : cost 0 0.108 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.111 * * [simplify]: Extracting # 0 : cost 0 0.111 * * [simplify]: Extracting # 1 : cost 0 0.111 * * [simplify]: Extracting # 2 : cost 0 0.111 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.114 * * [simplify]: Extracting # 0 : cost 0 0.114 * * [simplify]: Extracting # 1 : cost 0 0.114 * * [simplify]: Extracting # 2 : cost 0 0.114 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.118 * * [simplify]: Extracting # 0 : cost 0 0.118 * * [simplify]: Extracting # 1 : cost 0 0.118 * * [simplify]: Extracting # 2 : cost 0 0.118 * * [simplify]: iteration 5 : 30 enodes (cost 8 ) 0.153 * * [simplify]: Extracting # 0 : cost 0 0.153 * * [simplify]: iteration 6 : 32 enodes (cost 8 ) 0.165 * * [simplify]: Extracting # 0 : cost 0 0.166 * * [simplify]: iteration done: 32 enodes (cost 8 ) 0.266 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.269 * * [progress]: iteration 1 / 4 0.269 * * * [progress]: picking best candidate 0.273 * * * * [pick]: Picked # 0.273 * * * [progress]: localizing error 0.325 * * * [progress]: generating rewritten candidates 0.325 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.404 * * * [progress]: generating series expansions 0.404 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.413 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.413 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.415 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.415 * [taylor]: Taking taylor expansion of -1 in n 0.415 * [backup-simplify]: Simplify -1 into -1 0.415 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.415 * [taylor]: Taking taylor expansion of (+ n f) in n 0.415 * [taylor]: Taking taylor expansion of n in n 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of f in n 0.415 * [backup-simplify]: Simplify f into f 0.415 * [taylor]: Taking taylor expansion of (- f n) in n 0.415 * [taylor]: Taking taylor expansion of f in n 0.415 * [backup-simplify]: Simplify f into f 0.415 * [taylor]: Taking taylor expansion of n in n 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (+ 0 f) into f 0.417 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify (+ f 0) into f 0.417 * [backup-simplify]: Simplify (/ f f) into 1 0.417 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.417 * [taylor]: Taking taylor expansion of -1 in f 0.417 * [backup-simplify]: Simplify -1 into -1 0.417 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.417 * [taylor]: Taking taylor expansion of (+ n f) in f 0.417 * [taylor]: Taking taylor expansion of n in f 0.417 * [backup-simplify]: Simplify n into n 0.417 * [taylor]: Taking taylor expansion of f in f 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of (- f n) in f 0.417 * [taylor]: Taking taylor expansion of f in f 0.417 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of n in f 0.418 * [backup-simplify]: Simplify n into n 0.418 * [backup-simplify]: Simplify (+ n 0) into n 0.418 * [backup-simplify]: Simplify (- n) into (- n) 0.418 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.418 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.418 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.418 * [taylor]: Taking taylor expansion of -1 in f 0.418 * [backup-simplify]: Simplify -1 into -1 0.418 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.418 * [taylor]: Taking taylor expansion of (+ n f) in f 0.418 * [taylor]: Taking taylor expansion of n in f 0.418 * [backup-simplify]: Simplify n into n 0.418 * [taylor]: Taking taylor expansion of f in f 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of (- f n) in f 0.418 * [taylor]: Taking taylor expansion of f in f 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of n in f 0.418 * [backup-simplify]: Simplify n into n 0.418 * [backup-simplify]: Simplify (+ n 0) into n 0.419 * [backup-simplify]: Simplify (- n) into (- n) 0.419 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.419 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.420 * [backup-simplify]: Simplify (* -1 -1) into 1 0.420 * [taylor]: Taking taylor expansion of 1 in n 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (+ 0 1) into 1 0.422 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify (+ 1 0) into 1 0.456 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.457 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.457 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.457 * [taylor]: Taking taylor expansion of 2 in n 0.457 * [backup-simplify]: Simplify 2 into 2 0.457 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.457 * [taylor]: Taking taylor expansion of n in n 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.465 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.465 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.465 * [taylor]: Taking taylor expansion of 2 in n 0.465 * [backup-simplify]: Simplify 2 into 2 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.465 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.465 * [taylor]: Taking taylor expansion of n in n 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (* 1 1) into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (- 0) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [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)))) 0.500 * [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))) 0.500 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.500 * [taylor]: Taking taylor expansion of 2 in n 0.500 * [backup-simplify]: Simplify 2 into 2 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.500 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.500 * [taylor]: Taking taylor expansion of n in n 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.536 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.556 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.556 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.556 * [taylor]: Taking taylor expansion of -1 in n 0.556 * [backup-simplify]: Simplify -1 into -1 0.556 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.556 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.556 * [taylor]: Taking taylor expansion of f in n 0.556 * [backup-simplify]: Simplify f into f 0.556 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.556 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.556 * [taylor]: Taking taylor expansion of n in n 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.558 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.558 * [taylor]: Taking taylor expansion of f in n 0.558 * [backup-simplify]: Simplify f into f 0.558 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.558 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.558 * [taylor]: Taking taylor expansion of n in n 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (/ 1 1) into 1 0.560 * [backup-simplify]: Simplify (+ 0 1) into 1 0.560 * [backup-simplify]: Simplify (- 1) into -1 0.561 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.561 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.562 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.562 * [taylor]: Taking taylor expansion of -1 in f 0.562 * [backup-simplify]: Simplify -1 into -1 0.562 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.562 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.562 * [taylor]: Taking taylor expansion of f in f 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify (/ 1 1) into 1 0.562 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.563 * [taylor]: Taking taylor expansion of n in f 0.563 * [backup-simplify]: Simplify n into n 0.563 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.563 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.563 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.563 * [taylor]: Taking taylor expansion of f in f 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (/ 1 1) into 1 0.563 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.563 * [taylor]: Taking taylor expansion of n in f 0.564 * [backup-simplify]: Simplify n into n 0.564 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.564 * [backup-simplify]: Simplify (+ 1 0) into 1 0.565 * [backup-simplify]: Simplify (+ 1 0) into 1 0.565 * [backup-simplify]: Simplify (/ 1 1) into 1 0.565 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.565 * [taylor]: Taking taylor expansion of -1 in f 0.565 * [backup-simplify]: Simplify -1 into -1 0.565 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.565 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.565 * [taylor]: Taking taylor expansion of f in f 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.566 * [taylor]: Taking taylor expansion of n in f 0.566 * [backup-simplify]: Simplify n into n 0.566 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.566 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.566 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.566 * [taylor]: Taking taylor expansion of f in f 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.566 * [taylor]: Taking taylor expansion of n in f 0.567 * [backup-simplify]: Simplify n into n 0.567 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.567 * [backup-simplify]: Simplify (+ 1 0) into 1 0.567 * [backup-simplify]: Simplify (+ 1 0) into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [backup-simplify]: Simplify (* -1 1) into -1 0.568 * [taylor]: Taking taylor expansion of -1 in n 0.568 * [backup-simplify]: Simplify -1 into -1 0.568 * [backup-simplify]: Simplify -1 into -1 0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.570 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.570 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.571 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.571 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.571 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.571 * [taylor]: Taking taylor expansion of 2 in n 0.571 * [backup-simplify]: Simplify 2 into 2 0.571 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.571 * [taylor]: Taking taylor expansion of n in n 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (/ 1 1) into 1 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.573 * [backup-simplify]: Simplify (- 0) into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.613 * [backup-simplify]: Simplify (- 0) into 0 0.613 * [backup-simplify]: Simplify (+ 0 0) into 0 0.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.618 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.618 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.618 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.618 * [taylor]: Taking taylor expansion of 2 in n 0.618 * [backup-simplify]: Simplify 2 into 2 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.618 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.618 * [taylor]: Taking taylor expansion of n in n 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (* 1 1) into 1 0.620 * [backup-simplify]: Simplify (/ 1 1) into 1 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.629 * [backup-simplify]: Simplify (- 0) into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.633 * [backup-simplify]: Simplify (- 0) into 0 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.638 * [backup-simplify]: Simplify (- 0) into 0 0.638 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [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))) 0.643 * [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)))) 0.643 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.643 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.643 * [taylor]: Taking taylor expansion of 2 in n 0.643 * [backup-simplify]: Simplify 2 into 2 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.643 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.643 * [taylor]: Taking taylor expansion of n in n 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 1 into 1 0.644 * [backup-simplify]: Simplify (* 1 1) into 1 0.644 * [backup-simplify]: Simplify (* 1 1) into 1 0.645 * [backup-simplify]: Simplify (/ 1 1) into 1 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.651 * [backup-simplify]: Simplify (- 0) into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify -1 into -1 0.652 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.652 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.652 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.652 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.652 * [taylor]: Taking taylor expansion of f in n 0.652 * [backup-simplify]: Simplify f into f 0.652 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.652 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.652 * [taylor]: Taking taylor expansion of n in n 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.652 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.652 * [taylor]: Taking taylor expansion of n in n 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 f) in n 0.653 * [taylor]: Taking taylor expansion of f in n 0.653 * [backup-simplify]: Simplify f into f 0.653 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.653 * [backup-simplify]: Simplify (+ 0 1) into 1 0.653 * [backup-simplify]: Simplify (+ 1 0) into 1 0.653 * [backup-simplify]: Simplify (/ 1 1) into 1 0.653 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.654 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.654 * [taylor]: Taking taylor expansion of f in f 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.654 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.654 * [taylor]: Taking taylor expansion of n in f 0.654 * [backup-simplify]: Simplify n into n 0.654 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.654 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.654 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.654 * [taylor]: Taking taylor expansion of n in f 0.654 * [backup-simplify]: Simplify n into n 0.654 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.654 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.654 * [taylor]: Taking taylor expansion of f in f 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [backup-simplify]: Simplify (+ 1 0) into 1 0.655 * [backup-simplify]: Simplify (- 1) into -1 0.655 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.655 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.655 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.655 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.655 * [taylor]: Taking taylor expansion of f in f 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (/ 1 1) into 1 0.656 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.656 * [taylor]: Taking taylor expansion of n in f 0.656 * [backup-simplify]: Simplify n into n 0.656 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.656 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.656 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.656 * [taylor]: Taking taylor expansion of n in f 0.656 * [backup-simplify]: Simplify n into n 0.656 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.656 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.656 * [taylor]: Taking taylor expansion of f in f 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (/ 1 1) into 1 0.657 * [backup-simplify]: Simplify (+ 1 0) into 1 0.657 * [backup-simplify]: Simplify (- 1) into -1 0.657 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.657 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.658 * [taylor]: Taking taylor expansion of -1 in n 0.658 * [backup-simplify]: Simplify -1 into -1 0.658 * [backup-simplify]: Simplify -1 into -1 0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (- 0) into 0 0.659 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.659 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.659 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.659 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.659 * [taylor]: Taking taylor expansion of 2 in n 0.659 * [backup-simplify]: Simplify 2 into 2 0.659 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.659 * [taylor]: Taking taylor expansion of n in n 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [backup-simplify]: Simplify (/ 1 1) into 1 0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.660 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.661 * [backup-simplify]: Simplify (- 0) into 0 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [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 0.662 * [backup-simplify]: Simplify (+ 0 0) into 0 0.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify (- 0) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.663 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.663 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.663 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.664 * [taylor]: Taking taylor expansion of 2 in n 0.664 * [backup-simplify]: Simplify 2 into 2 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.664 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.664 * [taylor]: Taking taylor expansion of n in n 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify (* 1 1) into 1 0.664 * [backup-simplify]: Simplify (/ 1 1) into 1 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.667 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.667 * [backup-simplify]: Simplify (- 0) into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.669 * [backup-simplify]: Simplify (- 0) into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.670 * [backup-simplify]: Simplify (+ 0 0) into 0 0.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.671 * [backup-simplify]: Simplify (- 0) into 0 0.671 * [backup-simplify]: Simplify (+ 0 0) into 0 0.673 * [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)))) 0.673 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.673 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.673 * [taylor]: Taking taylor expansion of 2 in n 0.673 * [backup-simplify]: Simplify 2 into 2 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.673 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.673 * [taylor]: Taking taylor expansion of n in n 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.673 * [backup-simplify]: Simplify (* 1 1) into 1 0.674 * [backup-simplify]: Simplify (* 1 1) into 1 0.674 * [backup-simplify]: Simplify (/ 1 1) into 1 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (- 0) into 0 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify -1 into -1 0.680 * * * [progress]: simplifying candidates 0.683 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.685 * * [simplify]: Extracting # 0 : cost 0 0.686 * * [simplify]: Extracting # 1 : cost 0 0.686 * * [simplify]: Extracting # 2 : cost 0 0.686 * * [simplify]: Extracting # 3 : cost 0 0.686 * * [simplify]: Extracting # 4 : cost 0 0.687 * * [simplify]: Extracting # 5 : cost 0 0.687 * * [simplify]: Extracting # 6 : cost 0 0.688 * * [simplify]: Extracting # 7 : cost 0 0.688 * * [simplify]: iteration 0 : 133 enodes (cost 1451 ) 0.747 * * [simplify]: Extracting # 0 : cost 0 0.748 * * [simplify]: Extracting # 1 : cost 0 0.748 * * [simplify]: Extracting # 2 : cost 0 0.749 * * [simplify]: Extracting # 3 : cost 0 0.749 * * [simplify]: Extracting # 4 : cost 0 0.750 * * [simplify]: iteration 1 : 311 enodes (cost 1378 ) 0.866 * * [simplify]: Extracting # 0 : cost 0 0.868 * * [simplify]: Extracting # 1 : cost 0 0.871 * * [simplify]: Extracting # 2 : cost 0 0.873 * * [simplify]: Extracting # 3 : cost 0 0.875 * * [simplify]: iteration 2 : 1060 enodes (cost 1348 ) 1.344 * * [simplify]: Extracting # 0 : cost 0 1.355 * * [simplify]: Extracting # 1 : cost 0 1.364 * * [simplify]: Extracting # 2 : cost 0 1.375 * * [simplify]: Extracting # 3 : cost 0 1.386 * * [simplify]: Extracting # 4 : cost 0 1.396 * * [simplify]: Extracting # 5 : cost 0 1.401 * * [simplify]: iteration done: 5000 enodes (cost 1341 ) 1.402 * [simplify]: Simplified to: (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ n f) (- (- f n)) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt 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) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (- f n) (+ (* n (- n f)) (* f f))) (* (- f n) (- f n)) 1 -1 -1 1.403 * * * [progress]: adding candidates to table 1.593 * * [progress]: iteration 2 / 4 1.593 * * * [progress]: picking best candidate 1.606 * * * * [pick]: Picked # 1.606 * * * [progress]: localizing error 1.622 * * * [progress]: generating rewritten candidates 1.622 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.664 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.746 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.852 * * * [progress]: generating series expansions 1.852 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.852 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 1.852 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.852 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.852 * [taylor]: Taking taylor expansion of -1 in n 1.852 * [backup-simplify]: Simplify -1 into -1 1.852 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.852 * [taylor]: Taking taylor expansion of (+ n f) in n 1.852 * [taylor]: Taking taylor expansion of n in n 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.852 * [taylor]: Taking taylor expansion of f in n 1.852 * [backup-simplify]: Simplify f into f 1.852 * [taylor]: Taking taylor expansion of (- f n) in n 1.852 * [taylor]: Taking taylor expansion of f in n 1.852 * [backup-simplify]: Simplify f into f 1.852 * [taylor]: Taking taylor expansion of n in n 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.853 * [backup-simplify]: Simplify (+ 0 f) into f 1.853 * [backup-simplify]: Simplify (- 0) into 0 1.853 * [backup-simplify]: Simplify (+ f 0) into f 1.853 * [backup-simplify]: Simplify (/ f f) into 1 1.853 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.853 * [taylor]: Taking taylor expansion of -1 in f 1.853 * [backup-simplify]: Simplify -1 into -1 1.853 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.853 * [taylor]: Taking taylor expansion of (+ n f) in f 1.853 * [taylor]: Taking taylor expansion of n in f 1.853 * [backup-simplify]: Simplify n into n 1.853 * [taylor]: Taking taylor expansion of f in f 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.853 * [taylor]: Taking taylor expansion of (- f n) in f 1.853 * [taylor]: Taking taylor expansion of f in f 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.853 * [taylor]: Taking taylor expansion of n in f 1.853 * [backup-simplify]: Simplify n into n 1.853 * [backup-simplify]: Simplify (+ n 0) into n 1.853 * [backup-simplify]: Simplify (- n) into (- n) 1.853 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.853 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.853 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.854 * [taylor]: Taking taylor expansion of -1 in f 1.854 * [backup-simplify]: Simplify -1 into -1 1.854 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.854 * [taylor]: Taking taylor expansion of (+ n f) in f 1.854 * [taylor]: Taking taylor expansion of n in f 1.854 * [backup-simplify]: Simplify n into n 1.854 * [taylor]: Taking taylor expansion of f in f 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [taylor]: Taking taylor expansion of (- f n) in f 1.854 * [taylor]: Taking taylor expansion of f in f 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [taylor]: Taking taylor expansion of n in f 1.854 * [backup-simplify]: Simplify n into n 1.854 * [backup-simplify]: Simplify (+ n 0) into n 1.854 * [backup-simplify]: Simplify (- n) into (- n) 1.854 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.854 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.854 * [backup-simplify]: Simplify (* -1 -1) into 1 1.854 * [taylor]: Taking taylor expansion of 1 in n 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify (+ 0 1) into 1 1.855 * [backup-simplify]: Simplify (- 0) into 0 1.855 * [backup-simplify]: Simplify (+ 1 0) into 1 1.855 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.855 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.855 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.855 * [taylor]: Taking taylor expansion of 2 in n 1.856 * [backup-simplify]: Simplify 2 into 2 1.856 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.856 * [taylor]: Taking taylor expansion of n in n 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify (+ 0 0) into 0 1.857 * [backup-simplify]: Simplify (- 0) into 0 1.857 * [backup-simplify]: Simplify (+ 0 0) into 0 1.858 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.858 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.858 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.858 * [taylor]: Taking taylor expansion of 2 in n 1.858 * [backup-simplify]: Simplify 2 into 2 1.858 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.858 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.858 * [taylor]: Taking taylor expansion of n in n 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (* 1 1) into 1 1.859 * [backup-simplify]: Simplify (/ 1 1) into 1 1.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify (- 0) into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.864 * [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)))) 1.864 * [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))) 1.864 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.864 * [taylor]: Taking taylor expansion of 2 in n 1.864 * [backup-simplify]: Simplify 2 into 2 1.864 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.864 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.864 * [taylor]: Taking taylor expansion of n in n 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.865 * [backup-simplify]: Simplify (* 1 1) into 1 1.865 * [backup-simplify]: Simplify (* 1 1) into 1 1.865 * [backup-simplify]: Simplify (/ 1 1) into 1 1.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.876 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.876 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.876 * [taylor]: Taking taylor expansion of -1 in n 1.876 * [backup-simplify]: Simplify -1 into -1 1.876 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.876 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.876 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.876 * [taylor]: Taking taylor expansion of f in n 1.876 * [backup-simplify]: Simplify f into f 1.876 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.876 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.876 * [taylor]: Taking taylor expansion of n in n 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify (/ 1 1) into 1 1.876 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.876 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.876 * [taylor]: Taking taylor expansion of f in n 1.876 * [backup-simplify]: Simplify f into f 1.877 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.877 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.877 * [taylor]: Taking taylor expansion of n in n 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (/ 1 1) into 1 1.877 * [backup-simplify]: Simplify (+ 0 1) into 1 1.878 * [backup-simplify]: Simplify (- 1) into -1 1.878 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.878 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.878 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.878 * [taylor]: Taking taylor expansion of -1 in f 1.878 * [backup-simplify]: Simplify -1 into -1 1.878 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.878 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.878 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.878 * [taylor]: Taking taylor expansion of f in f 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (/ 1 1) into 1 1.879 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.879 * [taylor]: Taking taylor expansion of n in f 1.879 * [backup-simplify]: Simplify n into n 1.879 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.879 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.879 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.879 * [taylor]: Taking taylor expansion of f in f 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (/ 1 1) into 1 1.879 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.879 * [taylor]: Taking taylor expansion of n in f 1.879 * [backup-simplify]: Simplify n into n 1.879 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.879 * [backup-simplify]: Simplify (+ 1 0) into 1 1.880 * [backup-simplify]: Simplify (+ 1 0) into 1 1.880 * [backup-simplify]: Simplify (/ 1 1) into 1 1.880 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.880 * [taylor]: Taking taylor expansion of -1 in f 1.880 * [backup-simplify]: Simplify -1 into -1 1.880 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.880 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.880 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.880 * [taylor]: Taking taylor expansion of f in f 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (/ 1 1) into 1 1.880 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.880 * [taylor]: Taking taylor expansion of n in f 1.880 * [backup-simplify]: Simplify n into n 1.880 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.880 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.880 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.880 * [taylor]: Taking taylor expansion of f in f 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify (/ 1 1) into 1 1.881 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.881 * [taylor]: Taking taylor expansion of n in f 1.881 * [backup-simplify]: Simplify n into n 1.881 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.881 * [backup-simplify]: Simplify (+ 1 0) into 1 1.881 * [backup-simplify]: Simplify (+ 1 0) into 1 1.882 * [backup-simplify]: Simplify (/ 1 1) into 1 1.882 * [backup-simplify]: Simplify (* -1 1) into -1 1.882 * [taylor]: Taking taylor expansion of -1 in n 1.882 * [backup-simplify]: Simplify -1 into -1 1.882 * [backup-simplify]: Simplify -1 into -1 1.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.882 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.883 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.883 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.883 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.883 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.883 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.883 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.884 * [taylor]: Taking taylor expansion of 2 in n 1.884 * [backup-simplify]: Simplify 2 into 2 1.884 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.884 * [taylor]: Taking taylor expansion of n in n 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (/ 1 1) into 1 1.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.885 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.885 * [backup-simplify]: Simplify (- 0) into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.886 * [backup-simplify]: Simplify (+ 0 0) into 0 1.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.887 * [backup-simplify]: Simplify (- 0) into 0 1.887 * [backup-simplify]: Simplify (+ 0 0) into 0 1.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.888 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.888 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.888 * [taylor]: Taking taylor expansion of 2 in n 1.888 * [backup-simplify]: Simplify 2 into 2 1.888 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.888 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.888 * [taylor]: Taking taylor expansion of n in n 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.888 * [backup-simplify]: Simplify (* 1 1) into 1 1.889 * [backup-simplify]: Simplify (/ 1 1) into 1 1.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.891 * [backup-simplify]: Simplify (- 0) into 0 1.891 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.892 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.893 * [backup-simplify]: Simplify (- 0) into 0 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.894 * [backup-simplify]: Simplify (+ 0 0) into 0 1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.894 * [backup-simplify]: Simplify (- 0) into 0 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.896 * [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))) 1.896 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.896 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.896 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.896 * [taylor]: Taking taylor expansion of 2 in n 1.896 * [backup-simplify]: Simplify 2 into 2 1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.896 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.896 * [taylor]: Taking taylor expansion of n in n 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (* 1 1) into 1 1.897 * [backup-simplify]: Simplify (* 1 1) into 1 1.897 * [backup-simplify]: Simplify (/ 1 1) into 1 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (- 0) into 0 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify -1 into -1 1.903 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.903 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.903 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.903 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.903 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.903 * [taylor]: Taking taylor expansion of f in n 1.903 * [backup-simplify]: Simplify f into f 1.903 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.903 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.903 * [taylor]: Taking taylor expansion of n in n 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify (/ 1 1) into 1 1.903 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.903 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.903 * [taylor]: Taking taylor expansion of n in n 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (/ 1 1) into 1 1.904 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.904 * [taylor]: Taking taylor expansion of f in n 1.904 * [backup-simplify]: Simplify f into f 1.904 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.904 * [backup-simplify]: Simplify (+ 0 1) into 1 1.904 * [backup-simplify]: Simplify (+ 1 0) into 1 1.904 * [backup-simplify]: Simplify (/ 1 1) into 1 1.904 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.904 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.904 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.904 * [taylor]: Taking taylor expansion of f in f 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (/ 1 1) into 1 1.905 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.905 * [taylor]: Taking taylor expansion of n in f 1.905 * [backup-simplify]: Simplify n into n 1.905 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.905 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.905 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.905 * [taylor]: Taking taylor expansion of n in f 1.905 * [backup-simplify]: Simplify n into n 1.905 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.905 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.905 * [taylor]: Taking taylor expansion of f in f 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (/ 1 1) into 1 1.905 * [backup-simplify]: Simplify (+ 1 0) into 1 1.906 * [backup-simplify]: Simplify (- 1) into -1 1.906 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.906 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.906 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.906 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.906 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.906 * [taylor]: Taking taylor expansion of f in f 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (/ 1 1) into 1 1.907 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.907 * [taylor]: Taking taylor expansion of n in f 1.907 * [backup-simplify]: Simplify n into n 1.907 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.907 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.907 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.907 * [taylor]: Taking taylor expansion of n in f 1.907 * [backup-simplify]: Simplify n into n 1.907 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.907 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.907 * [taylor]: Taking taylor expansion of f in f 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (/ 1 1) into 1 1.907 * [backup-simplify]: Simplify (+ 1 0) into 1 1.908 * [backup-simplify]: Simplify (- 1) into -1 1.908 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.908 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.908 * [taylor]: Taking taylor expansion of -1 in n 1.908 * [backup-simplify]: Simplify -1 into -1 1.908 * [backup-simplify]: Simplify -1 into -1 1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.909 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.909 * [backup-simplify]: Simplify (- 0) into 0 1.909 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.910 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.910 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.910 * [taylor]: Taking taylor expansion of 2 in n 1.910 * [backup-simplify]: Simplify 2 into 2 1.910 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.910 * [taylor]: Taking taylor expansion of n in n 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.910 * [backup-simplify]: Simplify (/ 1 1) into 1 1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.911 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.911 * [backup-simplify]: Simplify (- 0) into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.912 * [backup-simplify]: Simplify (+ 0 0) into 0 1.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.914 * [backup-simplify]: Simplify (+ 0 0) into 0 1.915 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.915 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.915 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.915 * [taylor]: Taking taylor expansion of 2 in n 1.915 * [backup-simplify]: Simplify 2 into 2 1.915 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.915 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.915 * [taylor]: Taking taylor expansion of n in n 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify 1 into 1 1.915 * [backup-simplify]: Simplify (* 1 1) into 1 1.916 * [backup-simplify]: Simplify (/ 1 1) into 1 1.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.920 * [backup-simplify]: Simplify (- 0) into 0 1.920 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.922 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.922 * [backup-simplify]: Simplify (- 0) into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify (- 0) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.927 * [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)))) 1.927 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.927 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.927 * [taylor]: Taking taylor expansion of 2 in n 1.927 * [backup-simplify]: Simplify 2 into 2 1.927 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.927 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.927 * [taylor]: Taking taylor expansion of n in n 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (* 1 1) into 1 1.928 * [backup-simplify]: Simplify (* 1 1) into 1 1.928 * [backup-simplify]: Simplify (/ 1 1) into 1 1.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (- 0) into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify -1 into -1 1.938 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.938 * [backup-simplify]: Simplify (log (exp (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) 1.938 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.938 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.938 * [taylor]: Taking taylor expansion of -1 in n 1.938 * [backup-simplify]: Simplify -1 into -1 1.938 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.938 * [taylor]: Taking taylor expansion of (+ n f) in n 1.938 * [taylor]: Taking taylor expansion of n in n 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [taylor]: Taking taylor expansion of f in n 1.939 * [backup-simplify]: Simplify f into f 1.939 * [taylor]: Taking taylor expansion of (- f n) in n 1.939 * [taylor]: Taking taylor expansion of f in n 1.939 * [backup-simplify]: Simplify f into f 1.939 * [taylor]: Taking taylor expansion of n in n 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (+ 0 f) into f 1.939 * [backup-simplify]: Simplify (- 0) into 0 1.939 * [backup-simplify]: Simplify (+ f 0) into f 1.939 * [backup-simplify]: Simplify (/ f f) into 1 1.939 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.939 * [taylor]: Taking taylor expansion of -1 in f 1.939 * [backup-simplify]: Simplify -1 into -1 1.939 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.939 * [taylor]: Taking taylor expansion of (+ n f) in f 1.939 * [taylor]: Taking taylor expansion of n in f 1.939 * [backup-simplify]: Simplify n into n 1.939 * [taylor]: Taking taylor expansion of f in f 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [taylor]: Taking taylor expansion of (- f n) in f 1.940 * [taylor]: Taking taylor expansion of f in f 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [taylor]: Taking taylor expansion of n in f 1.940 * [backup-simplify]: Simplify n into n 1.940 * [backup-simplify]: Simplify (+ n 0) into n 1.940 * [backup-simplify]: Simplify (- n) into (- n) 1.940 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.940 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.940 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.940 * [taylor]: Taking taylor expansion of -1 in f 1.940 * [backup-simplify]: Simplify -1 into -1 1.940 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.940 * [taylor]: Taking taylor expansion of (+ n f) in f 1.940 * [taylor]: Taking taylor expansion of n in f 1.940 * [backup-simplify]: Simplify n into n 1.940 * [taylor]: Taking taylor expansion of f in f 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [taylor]: Taking taylor expansion of (- f n) in f 1.940 * [taylor]: Taking taylor expansion of f in f 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [taylor]: Taking taylor expansion of n in f 1.940 * [backup-simplify]: Simplify n into n 1.940 * [backup-simplify]: Simplify (+ n 0) into n 1.940 * [backup-simplify]: Simplify (- n) into (- n) 1.941 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.941 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.941 * [backup-simplify]: Simplify (* -1 -1) into 1 1.941 * [taylor]: Taking taylor expansion of 1 in n 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify 1 into 1 1.942 * [backup-simplify]: Simplify (+ 0 1) into 1 1.942 * [backup-simplify]: Simplify (- 0) into 0 1.942 * [backup-simplify]: Simplify (+ 1 0) into 1 1.943 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.943 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.943 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.943 * [taylor]: Taking taylor expansion of 2 in n 1.943 * [backup-simplify]: Simplify 2 into 2 1.943 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.943 * [taylor]: Taking taylor expansion of n in n 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (/ 1 1) into 1 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (- 0) into 0 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.948 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.948 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.948 * [taylor]: Taking taylor expansion of 2 in n 1.948 * [backup-simplify]: Simplify 2 into 2 1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.948 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.948 * [taylor]: Taking taylor expansion of n in n 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (* 1 1) into 1 1.949 * [backup-simplify]: Simplify (/ 1 1) into 1 1.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.955 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (+ 0 0) into 0 1.956 * [backup-simplify]: Simplify (- 0) into 0 1.956 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [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)))) 1.958 * [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))) 1.958 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.958 * [taylor]: Taking taylor expansion of 2 in n 1.958 * [backup-simplify]: Simplify 2 into 2 1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.958 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.958 * [taylor]: Taking taylor expansion of n in n 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (* 1 1) into 1 1.959 * [backup-simplify]: Simplify (* 1 1) into 1 1.959 * [backup-simplify]: Simplify (/ 1 1) into 1 1.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.968 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.968 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.968 * [taylor]: Taking taylor expansion of -1 in n 1.968 * [backup-simplify]: Simplify -1 into -1 1.968 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.968 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.969 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.969 * [taylor]: Taking taylor expansion of f in n 1.969 * [backup-simplify]: Simplify f into f 1.969 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.969 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.969 * [taylor]: Taking taylor expansion of n in n 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (/ 1 1) into 1 1.969 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.969 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.969 * [taylor]: Taking taylor expansion of f in n 1.969 * [backup-simplify]: Simplify f into f 1.969 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.969 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.969 * [taylor]: Taking taylor expansion of n in n 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (/ 1 1) into 1 1.970 * [backup-simplify]: Simplify (+ 0 1) into 1 1.971 * [backup-simplify]: Simplify (- 1) into -1 1.971 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.971 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.972 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.972 * [taylor]: Taking taylor expansion of -1 in f 1.972 * [backup-simplify]: Simplify -1 into -1 1.972 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.972 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.972 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.972 * [taylor]: Taking taylor expansion of f in f 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (/ 1 1) into 1 1.972 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.972 * [taylor]: Taking taylor expansion of n in f 1.972 * [backup-simplify]: Simplify n into n 1.972 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.972 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.972 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.972 * [taylor]: Taking taylor expansion of f in f 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (/ 1 1) into 1 1.973 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.973 * [taylor]: Taking taylor expansion of n in f 1.973 * [backup-simplify]: Simplify n into n 1.973 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.973 * [backup-simplify]: Simplify (+ 1 0) into 1 1.974 * [backup-simplify]: Simplify (+ 1 0) into 1 1.974 * [backup-simplify]: Simplify (/ 1 1) into 1 1.974 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.974 * [taylor]: Taking taylor expansion of -1 in f 1.974 * [backup-simplify]: Simplify -1 into -1 1.974 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.974 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.974 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.974 * [taylor]: Taking taylor expansion of f in f 1.974 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (/ 1 1) into 1 1.975 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.975 * [taylor]: Taking taylor expansion of n in f 1.975 * [backup-simplify]: Simplify n into n 1.975 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.975 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.975 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.975 * [taylor]: Taking taylor expansion of f in f 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (/ 1 1) into 1 1.976 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.976 * [taylor]: Taking taylor expansion of n in f 1.976 * [backup-simplify]: Simplify n into n 1.976 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.976 * [backup-simplify]: Simplify (+ 1 0) into 1 1.976 * [backup-simplify]: Simplify (+ 1 0) into 1 1.977 * [backup-simplify]: Simplify (/ 1 1) into 1 1.977 * [backup-simplify]: Simplify (* -1 1) into -1 1.977 * [taylor]: Taking taylor expansion of -1 in n 1.977 * [backup-simplify]: Simplify -1 into -1 1.978 * [backup-simplify]: Simplify -1 into -1 1.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.979 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.980 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.980 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.981 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.981 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.981 * [taylor]: Taking taylor expansion of 2 in n 1.981 * [backup-simplify]: Simplify 2 into 2 1.981 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.981 * [taylor]: Taking taylor expansion of n in n 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.982 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.983 * [backup-simplify]: Simplify (- 0) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.985 * [backup-simplify]: Simplify (- 0) into 0 1.986 * [backup-simplify]: Simplify (+ 0 0) into 0 1.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.988 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.988 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.988 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.988 * [taylor]: Taking taylor expansion of 2 in n 1.988 * [backup-simplify]: Simplify 2 into 2 1.988 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.988 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.988 * [taylor]: Taking taylor expansion of n in n 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 1 into 1 1.988 * [backup-simplify]: Simplify (* 1 1) into 1 1.989 * [backup-simplify]: Simplify (/ 1 1) into 1 1.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.997 * [backup-simplify]: Simplify (- 0) into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.999 * [backup-simplify]: Simplify (- 0) into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.002 * [backup-simplify]: Simplify (- 0) into 0 2.003 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 2.005 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.005 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.005 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.005 * [taylor]: Taking taylor expansion of 2 in n 2.005 * [backup-simplify]: Simplify 2 into 2 2.005 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.005 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.006 * [taylor]: Taking taylor expansion of n in n 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (* 1 1) into 1 2.006 * [backup-simplify]: Simplify (* 1 1) into 1 2.006 * [backup-simplify]: Simplify (/ 1 1) into 1 2.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.011 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.011 * [backup-simplify]: Simplify (- 0) into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify -1 into -1 2.012 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.012 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.012 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.012 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.012 * [taylor]: Taking taylor expansion of f in n 2.012 * [backup-simplify]: Simplify f into f 2.012 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.012 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.012 * [taylor]: Taking taylor expansion of n in n 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (/ 1 1) into 1 2.012 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.012 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.012 * [taylor]: Taking taylor expansion of n in n 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (/ 1 1) into 1 2.013 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.013 * [taylor]: Taking taylor expansion of f in n 2.013 * [backup-simplify]: Simplify f into f 2.013 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.013 * [backup-simplify]: Simplify (+ 0 1) into 1 2.013 * [backup-simplify]: Simplify (+ 1 0) into 1 2.013 * [backup-simplify]: Simplify (/ 1 1) into 1 2.013 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.013 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.014 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.014 * [taylor]: Taking taylor expansion of f in f 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (/ 1 1) into 1 2.014 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.014 * [taylor]: Taking taylor expansion of n in f 2.014 * [backup-simplify]: Simplify n into n 2.014 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.014 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.014 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.014 * [taylor]: Taking taylor expansion of n in f 2.014 * [backup-simplify]: Simplify n into n 2.014 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.014 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.014 * [taylor]: Taking taylor expansion of f in f 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (/ 1 1) into 1 2.015 * [backup-simplify]: Simplify (+ 1 0) into 1 2.015 * [backup-simplify]: Simplify (- 1) into -1 2.015 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.015 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.015 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.015 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.015 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.015 * [taylor]: Taking taylor expansion of f in f 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.016 * [backup-simplify]: Simplify (/ 1 1) into 1 2.016 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.016 * [taylor]: Taking taylor expansion of n in f 2.016 * [backup-simplify]: Simplify n into n 2.016 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.016 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.016 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.016 * [taylor]: Taking taylor expansion of n in f 2.016 * [backup-simplify]: Simplify n into n 2.016 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.016 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.016 * [taylor]: Taking taylor expansion of f in f 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [backup-simplify]: Simplify (/ 1 1) into 1 2.016 * [backup-simplify]: Simplify (+ 1 0) into 1 2.017 * [backup-simplify]: Simplify (- 1) into -1 2.017 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.017 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.017 * [taylor]: Taking taylor expansion of -1 in n 2.017 * [backup-simplify]: Simplify -1 into -1 2.017 * [backup-simplify]: Simplify -1 into -1 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (- 0) into 0 2.019 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.019 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.019 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.019 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.019 * [taylor]: Taking taylor expansion of 2 in n 2.019 * [backup-simplify]: Simplify 2 into 2 2.019 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.019 * [taylor]: Taking taylor expansion of n in n 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 1 into 1 2.019 * [backup-simplify]: Simplify (/ 1 1) into 1 2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.020 * [backup-simplify]: Simplify (- 0) into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.022 * [backup-simplify]: Simplify (- 0) into 0 2.022 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.023 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.023 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.023 * [taylor]: Taking taylor expansion of 2 in n 2.023 * [backup-simplify]: Simplify 2 into 2 2.023 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.023 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.023 * [taylor]: Taking taylor expansion of n in n 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (* 1 1) into 1 2.023 * [backup-simplify]: Simplify (/ 1 1) into 1 2.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.026 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.026 * [backup-simplify]: Simplify (- 0) into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.027 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.028 * [backup-simplify]: Simplify (- 0) into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.029 * [backup-simplify]: Simplify (+ 0 0) into 0 2.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (- 0) into 0 2.030 * [backup-simplify]: Simplify (+ 0 0) into 0 2.031 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.031 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.031 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.031 * [taylor]: Taking taylor expansion of 2 in n 2.031 * [backup-simplify]: Simplify 2 into 2 2.031 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.031 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.031 * [taylor]: Taking taylor expansion of n in n 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (* 1 1) into 1 2.031 * [backup-simplify]: Simplify (* 1 1) into 1 2.032 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (- 0) into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify -1 into -1 2.038 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 2.039 * [backup-simplify]: Simplify (exp (/ (- (+ f n)) (- f n))) into (exp (* -1 (/ (+ n f) (- f n)))) 2.039 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 2.039 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 2.039 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.039 * [taylor]: Taking taylor expansion of -1 in n 2.039 * [backup-simplify]: Simplify -1 into -1 2.039 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.039 * [taylor]: Taking taylor expansion of (+ n f) in n 2.039 * [taylor]: Taking taylor expansion of n in n 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [taylor]: Taking taylor expansion of f in n 2.039 * [backup-simplify]: Simplify f into f 2.039 * [taylor]: Taking taylor expansion of (- f n) in n 2.039 * [taylor]: Taking taylor expansion of f in n 2.039 * [backup-simplify]: Simplify f into f 2.039 * [taylor]: Taking taylor expansion of n in n 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (+ 0 f) into f 2.040 * [backup-simplify]: Simplify (- 0) into 0 2.040 * [backup-simplify]: Simplify (+ f 0) into f 2.040 * [backup-simplify]: Simplify (/ f f) into 1 2.040 * [backup-simplify]: Simplify (* -1 1) into -1 2.041 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.041 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 2.041 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.041 * [taylor]: Taking taylor expansion of -1 in f 2.041 * [backup-simplify]: Simplify -1 into -1 2.041 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.041 * [taylor]: Taking taylor expansion of (+ n f) in f 2.041 * [taylor]: Taking taylor expansion of n in f 2.041 * [backup-simplify]: Simplify n into n 2.041 * [taylor]: Taking taylor expansion of f in f 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [taylor]: Taking taylor expansion of (- f n) in f 2.041 * [taylor]: Taking taylor expansion of f in f 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [taylor]: Taking taylor expansion of n in f 2.041 * [backup-simplify]: Simplify n into n 2.041 * [backup-simplify]: Simplify (+ n 0) into n 2.041 * [backup-simplify]: Simplify (- n) into (- n) 2.041 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.041 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.042 * [backup-simplify]: Simplify (* -1 -1) into 1 2.042 * [backup-simplify]: Simplify (exp 1) into E 2.042 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 2.042 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.042 * [taylor]: Taking taylor expansion of -1 in f 2.042 * [backup-simplify]: Simplify -1 into -1 2.042 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.042 * [taylor]: Taking taylor expansion of (+ n f) in f 2.042 * [taylor]: Taking taylor expansion of n in f 2.042 * [backup-simplify]: Simplify n into n 2.042 * [taylor]: Taking taylor expansion of f in f 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [taylor]: Taking taylor expansion of (- f n) in f 2.042 * [taylor]: Taking taylor expansion of f in f 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [taylor]: Taking taylor expansion of n in f 2.042 * [backup-simplify]: Simplify n into n 2.042 * [backup-simplify]: Simplify (+ n 0) into n 2.042 * [backup-simplify]: Simplify (- n) into (- n) 2.042 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.043 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.043 * [backup-simplify]: Simplify (* -1 -1) into 1 2.043 * [backup-simplify]: Simplify (exp 1) into E 2.043 * [taylor]: Taking taylor expansion of E in n 2.043 * [backup-simplify]: Simplify E into E 2.043 * [backup-simplify]: Simplify E into E 2.044 * [backup-simplify]: Simplify (+ 0 1) into 1 2.045 * [backup-simplify]: Simplify (- 0) into 0 2.045 * [backup-simplify]: Simplify (+ 1 0) into 1 2.045 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.046 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.046 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 2.046 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 2.046 * [taylor]: Taking taylor expansion of 2 in n 2.046 * [backup-simplify]: Simplify 2 into 2 2.046 * [taylor]: Taking taylor expansion of (/ E n) in n 2.046 * [taylor]: Taking taylor expansion of E in n 2.046 * [backup-simplify]: Simplify E into E 2.046 * [taylor]: Taking taylor expansion of n in n 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 1 into 1 2.047 * [backup-simplify]: Simplify (/ E 1) into E 2.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (+ 0 0) into 0 2.050 * [backup-simplify]: Simplify (- 0) into 0 2.050 * [backup-simplify]: Simplify (+ 0 0) into 0 2.050 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.051 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.052 * [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))) 2.052 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 2.052 * [taylor]: Taking taylor expansion of 4 in n 2.052 * [backup-simplify]: Simplify 4 into 4 2.052 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 2.052 * [taylor]: Taking taylor expansion of E in n 2.052 * [backup-simplify]: Simplify E into E 2.052 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.052 * [taylor]: Taking taylor expansion of n in n 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (* 1 1) into 1 2.053 * [backup-simplify]: Simplify (/ E 1) into E 2.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify (+ 0 0) into 0 2.061 * [backup-simplify]: Simplify (- 0) into 0 2.061 * [backup-simplify]: Simplify (+ 0 0) into 0 2.062 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.063 * [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))) 2.064 * [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))) 2.064 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 2.064 * [taylor]: Taking taylor expansion of 22/3 in n 2.064 * [backup-simplify]: Simplify 22/3 into 22/3 2.064 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 2.064 * [taylor]: Taking taylor expansion of E in n 2.064 * [backup-simplify]: Simplify E into E 2.064 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.064 * [taylor]: Taking taylor expansion of n in n 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.064 * [backup-simplify]: Simplify (* 1 1) into 1 2.065 * [backup-simplify]: Simplify (* 1 1) into 1 2.065 * [backup-simplify]: Simplify (/ E 1) into E 2.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.076 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify E into E 2.076 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2.076 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 2.076 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.076 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.076 * [taylor]: Taking taylor expansion of -1 in n 2.076 * [backup-simplify]: Simplify -1 into -1 2.076 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.076 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.076 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.076 * [taylor]: Taking taylor expansion of f in n 2.076 * [backup-simplify]: Simplify f into f 2.077 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.077 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.077 * [taylor]: Taking taylor expansion of n in n 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (/ 1 1) into 1 2.077 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.077 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.077 * [taylor]: Taking taylor expansion of f in n 2.077 * [backup-simplify]: Simplify f into f 2.077 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.077 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.077 * [taylor]: Taking taylor expansion of n in n 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (/ 1 1) into 1 2.078 * [backup-simplify]: Simplify (+ 0 1) into 1 2.078 * [backup-simplify]: Simplify (- 1) into -1 2.079 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.079 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.080 * [backup-simplify]: Simplify (* -1 -1) into 1 2.080 * [backup-simplify]: Simplify (exp 1) into E 2.080 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.080 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.080 * [taylor]: Taking taylor expansion of -1 in f 2.080 * [backup-simplify]: Simplify -1 into -1 2.080 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.080 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.080 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.080 * [taylor]: Taking taylor expansion of f in f 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (/ 1 1) into 1 2.080 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.080 * [taylor]: Taking taylor expansion of n in f 2.080 * [backup-simplify]: Simplify n into n 2.080 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.081 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.081 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.081 * [taylor]: Taking taylor expansion of f in f 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (/ 1 1) into 1 2.081 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.081 * [taylor]: Taking taylor expansion of n in f 2.081 * [backup-simplify]: Simplify n into n 2.081 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.082 * [backup-simplify]: Simplify (+ 1 0) into 1 2.082 * [backup-simplify]: Simplify (+ 1 0) into 1 2.082 * [backup-simplify]: Simplify (/ 1 1) into 1 2.083 * [backup-simplify]: Simplify (* -1 1) into -1 2.083 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.083 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.083 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.083 * [taylor]: Taking taylor expansion of -1 in f 2.083 * [backup-simplify]: Simplify -1 into -1 2.083 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.083 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.083 * [taylor]: Taking taylor expansion of f in f 2.083 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify (/ 1 1) into 1 2.084 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.084 * [taylor]: Taking taylor expansion of n in f 2.084 * [backup-simplify]: Simplify n into n 2.084 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.084 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.084 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.084 * [taylor]: Taking taylor expansion of f in f 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.085 * [backup-simplify]: Simplify (/ 1 1) into 1 2.085 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.085 * [taylor]: Taking taylor expansion of n in f 2.085 * [backup-simplify]: Simplify n into n 2.085 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.085 * [backup-simplify]: Simplify (+ 1 0) into 1 2.086 * [backup-simplify]: Simplify (+ 1 0) into 1 2.086 * [backup-simplify]: Simplify (/ 1 1) into 1 2.086 * [backup-simplify]: Simplify (* -1 1) into -1 2.087 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.087 * [taylor]: Taking taylor expansion of (exp -1) in n 2.087 * [taylor]: Taking taylor expansion of -1 in n 2.087 * [backup-simplify]: Simplify -1 into -1 2.087 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.088 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.090 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.090 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.090 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.091 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 2.091 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 2.091 * [taylor]: Taking taylor expansion of -2 in n 2.091 * [backup-simplify]: Simplify -2 into -2 2.091 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 2.091 * [taylor]: Taking taylor expansion of (exp -1) in n 2.091 * [taylor]: Taking taylor expansion of -1 in n 2.091 * [backup-simplify]: Simplify -1 into -1 2.092 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.092 * [taylor]: Taking taylor expansion of n in n 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.093 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.094 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.096 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.098 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.100 * [backup-simplify]: Simplify (- 0) into 0 2.100 * [backup-simplify]: Simplify (+ 0 0) into 0 2.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.102 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.103 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 2.103 * [taylor]: Taking taylor expansion of 0 in n 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.111 * [backup-simplify]: Simplify (+ 0 0) into 0 2.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.112 * [backup-simplify]: Simplify (- 0) into 0 2.112 * [backup-simplify]: Simplify (+ 0 0) into 0 2.114 * [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))) 2.115 * [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)))) 2.117 * [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))) 2.117 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 2.117 * [taylor]: Taking taylor expansion of 2/3 in n 2.117 * [backup-simplify]: Simplify 2/3 into 2/3 2.117 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 2.117 * [taylor]: Taking taylor expansion of (exp -1) in n 2.117 * [taylor]: Taking taylor expansion of -1 in n 2.117 * [backup-simplify]: Simplify -1 into -1 2.117 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.117 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.117 * [taylor]: Taking taylor expansion of n in n 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.118 * [backup-simplify]: Simplify (* 1 1) into 1 2.118 * [backup-simplify]: Simplify (* 1 1) into 1 2.119 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.121 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.131 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.135 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.139 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.140 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 2.140 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 2.140 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.140 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.140 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.140 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.140 * [taylor]: Taking taylor expansion of f in n 2.140 * [backup-simplify]: Simplify f into f 2.140 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.140 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.140 * [taylor]: Taking taylor expansion of n in n 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 1 into 1 2.140 * [backup-simplify]: Simplify (/ 1 1) into 1 2.140 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.141 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.141 * [taylor]: Taking taylor expansion of n in n 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (/ 1 1) into 1 2.141 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.141 * [taylor]: Taking taylor expansion of f in n 2.141 * [backup-simplify]: Simplify f into f 2.141 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.142 * [backup-simplify]: Simplify (+ 0 1) into 1 2.142 * [backup-simplify]: Simplify (+ 1 0) into 1 2.142 * [backup-simplify]: Simplify (/ 1 1) into 1 2.142 * [backup-simplify]: Simplify (exp 1) into E 2.142 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.142 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.142 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.142 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.143 * [taylor]: Taking taylor expansion of f in f 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.143 * [backup-simplify]: Simplify (/ 1 1) into 1 2.143 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.143 * [taylor]: Taking taylor expansion of n in f 2.143 * [backup-simplify]: Simplify n into n 2.143 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.143 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.143 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.143 * [taylor]: Taking taylor expansion of n in f 2.143 * [backup-simplify]: Simplify n into n 2.143 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.143 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.143 * [taylor]: Taking taylor expansion of f in f 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.144 * [backup-simplify]: Simplify (/ 1 1) into 1 2.144 * [backup-simplify]: Simplify (+ 1 0) into 1 2.145 * [backup-simplify]: Simplify (- 1) into -1 2.145 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.146 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.146 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.146 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.146 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.146 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.146 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.146 * [taylor]: Taking taylor expansion of f in f 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (/ 1 1) into 1 2.147 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.147 * [taylor]: Taking taylor expansion of n in f 2.147 * [backup-simplify]: Simplify n into n 2.147 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.147 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.147 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.147 * [taylor]: Taking taylor expansion of n in f 2.147 * [backup-simplify]: Simplify n into n 2.147 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.147 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.147 * [taylor]: Taking taylor expansion of f in f 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (/ 1 1) into 1 2.148 * [backup-simplify]: Simplify (+ 1 0) into 1 2.148 * [backup-simplify]: Simplify (- 1) into -1 2.149 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.149 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.150 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.150 * [taylor]: Taking taylor expansion of (exp -1) in n 2.150 * [taylor]: Taking taylor expansion of -1 in n 2.150 * [backup-simplify]: Simplify -1 into -1 2.150 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.151 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.152 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.153 * [backup-simplify]: Simplify (- 0) into 0 2.153 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.153 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.154 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 2.154 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 2.154 * [taylor]: Taking taylor expansion of -2 in n 2.154 * [backup-simplify]: Simplify -2 into -2 2.154 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 2.154 * [taylor]: Taking taylor expansion of (exp -1) in n 2.154 * [taylor]: Taking taylor expansion of -1 in n 2.154 * [backup-simplify]: Simplify -1 into -1 2.154 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.154 * [taylor]: Taking taylor expansion of n in n 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.155 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.156 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.159 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.161 * [backup-simplify]: Simplify (+ 0 0) into 0 2.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.162 * [backup-simplify]: Simplify (- 0) into 0 2.163 * [backup-simplify]: Simplify (+ 0 0) into 0 2.164 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.165 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 2.165 * [taylor]: Taking taylor expansion of 0 in n 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.169 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 2.169 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.171 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.172 * [backup-simplify]: Simplify (+ 0 0) into 0 2.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify (- 0) into 0 2.174 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.178 * [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))) 2.178 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 2.178 * [taylor]: Taking taylor expansion of 2/3 in n 2.178 * [backup-simplify]: Simplify 2/3 into 2/3 2.178 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 2.178 * [taylor]: Taking taylor expansion of (exp -1) in n 2.178 * [taylor]: Taking taylor expansion of -1 in n 2.178 * [backup-simplify]: Simplify -1 into -1 2.178 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.178 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.178 * [taylor]: Taking taylor expansion of n in n 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 1 into 1 2.179 * [backup-simplify]: Simplify (* 1 1) into 1 2.179 * [backup-simplify]: Simplify (* 1 1) into 1 2.180 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.182 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.190 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.192 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 2.192 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.193 * * * [progress]: simplifying candidates 2.197 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f 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1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (exp (/ -1 1)) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (exp (/ -1 1)) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n)))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n)))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)) (exp (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (sqrt (+ f n))) (sqrt (- f n)))) (exp (/ (- (sqrt (+ f n))) 1)) (exp (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (/ (- (sqrt (+ f n))) 1)) (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- 1) (sqrt (- f n)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (+ (sqrt f) (sqrt n)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- 1) (sqrt (- f n)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (+ (sqrt f) (sqrt n)))) (exp (/ (- 1) 1)) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1)) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1)) (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (+ f n)) (sqrt (- f n)))) (exp (/ (sqrt (+ f n)) 1)) (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (exp (/ (sqrt (+ f n)) 1)) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp 1) (exp (- (+ f n))) (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) (exp (/ (- (+ f n)) (- (* f f) (* n n)))) (exp (/ (+ f n) (- f n))) (exp (/ 0 (- f n))) (exp (/ (+ f n) (- f n))) (log (exp (/ (- (+ f n)) (- f n)))) (exp (exp (/ (- (+ f n)) (- f n)))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (* (* (exp (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n)))) (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) 1 -1 -1 1 -1 -1 E (exp -1) (exp -1) 2.201 * * [simplify]: Extracting # 0 : cost 0 2.201 * * [simplify]: Extracting # 1 : cost 0 2.202 * * [simplify]: Extracting # 2 : cost 0 2.202 * * [simplify]: Extracting # 3 : cost 0 2.202 * * [simplify]: Extracting # 4 : cost 0 2.203 * * [simplify]: Extracting # 5 : cost 0 2.203 * * [simplify]: Extracting # 6 : cost 0 2.203 * * [simplify]: Extracting # 7 : cost 0 2.204 * * [simplify]: Extracting # 8 : cost 0 2.204 * * [simplify]: iteration 0 : 241 enodes (cost 3236 ) 2.264 * * [simplify]: Extracting # 0 : cost 0 2.265 * * [simplify]: Extracting # 1 : cost 0 2.265 * * [simplify]: Extracting # 2 : cost 0 2.266 * * [simplify]: Extracting # 3 : cost 0 2.266 * * [simplify]: Extracting # 4 : cost 0 2.267 * * [simplify]: iteration 1 : 441 enodes (cost 2862 ) 2.358 * * [simplify]: Extracting # 0 : cost 0 2.360 * * [simplify]: Extracting # 1 : cost 0 2.364 * * [simplify]: Extracting # 2 : cost 0 2.367 * * [simplify]: Extracting # 3 : cost 0 2.370 * * [simplify]: Extracting # 4 : cost 0 2.373 * * [simplify]: iteration 2 : 1330 enodes (cost 2792 ) 2.914 * * [simplify]: Extracting # 0 : cost 0 2.928 * * [simplify]: Extracting # 1 : cost 0 2.935 * * [simplify]: Extracting # 2 : cost 0 2.947 * * [simplify]: Extracting # 3 : cost 0 2.952 * * [simplify]: Extracting # 4 : cost 0 2.958 * * [simplify]: iteration done: 5001 enodes (cost 2772 ) 2.959 * [simplify]: Simplified to: (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- 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n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ 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(exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt 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)) (+ (sqrt f) (sqrt n)))) (exp (sqrt (+ f n))) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E E (exp (- (+ f n))) (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) (exp (- (/ 1 (- f n)))) (exp (/ (+ f n) (- f n))) 1 (exp (/ (+ f n) (- f n))) (/ (- (+ f n)) (- f n)) (exp (exp (/ (- (+ f n)) (- f n)))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (pow (exp (/ (- (+ f n)) (- f n))) 3) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) 1 -1 -1 1 -1 -1 E (exp -1) (exp -1) 2.961 * * * [progress]: adding candidates to table 3.649 * * [progress]: iteration 3 / 4 3.649 * * * [progress]: picking best candidate 3.655 * * * * [pick]: Picked # 3.655 * * * [progress]: localizing error 3.675 * * * [progress]: generating rewritten candidates 3.675 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 3.740 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 3.782 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.924 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 4.152 * * * [progress]: generating series expansions 4.153 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 4.153 * [backup-simplify]: Simplify (/ 1 (/ (- f n) (- (+ f n)))) into (* -1 (/ (+ n f) (- f n))) 4.153 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.153 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.153 * [taylor]: Taking taylor expansion of -1 in n 4.153 * [backup-simplify]: Simplify -1 into -1 4.153 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.153 * [taylor]: Taking taylor expansion of (+ n f) in n 4.153 * [taylor]: Taking taylor expansion of n in n 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.153 * [taylor]: Taking taylor expansion of f in n 4.153 * [backup-simplify]: Simplify f into f 4.153 * [taylor]: Taking taylor expansion of (- f n) in n 4.153 * [taylor]: Taking taylor expansion of f in n 4.153 * [backup-simplify]: Simplify f into f 4.153 * [taylor]: Taking taylor expansion of n in n 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.153 * [backup-simplify]: Simplify (+ 0 f) into f 4.154 * [backup-simplify]: Simplify (- 0) into 0 4.154 * [backup-simplify]: Simplify (+ f 0) into f 4.154 * [backup-simplify]: Simplify (/ f f) into 1 4.154 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.154 * [taylor]: Taking taylor expansion of -1 in f 4.154 * [backup-simplify]: Simplify -1 into -1 4.154 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.154 * [taylor]: Taking taylor expansion of (+ n f) in f 4.154 * [taylor]: Taking taylor expansion of n in f 4.154 * [backup-simplify]: Simplify n into n 4.154 * [taylor]: Taking taylor expansion of f in f 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.155 * [taylor]: Taking taylor expansion of (- f n) in f 4.155 * [taylor]: Taking taylor expansion of f in f 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.155 * [taylor]: Taking taylor expansion of n in f 4.155 * [backup-simplify]: Simplify n into n 4.155 * [backup-simplify]: Simplify (+ n 0) into n 4.155 * [backup-simplify]: Simplify (- n) into (- n) 4.155 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.155 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.155 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.155 * [taylor]: Taking taylor expansion of -1 in f 4.155 * [backup-simplify]: Simplify -1 into -1 4.155 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.155 * [taylor]: Taking taylor expansion of (+ n f) in f 4.155 * [taylor]: Taking taylor expansion of n in f 4.155 * [backup-simplify]: Simplify n into n 4.155 * [taylor]: Taking taylor expansion of f in f 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.155 * [taylor]: Taking taylor expansion of (- f n) in f 4.155 * [taylor]: Taking taylor expansion of f in f 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.155 * [taylor]: Taking taylor expansion of n in f 4.155 * [backup-simplify]: Simplify n into n 4.155 * [backup-simplify]: Simplify (+ n 0) into n 4.155 * [backup-simplify]: Simplify (- n) into (- n) 4.156 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.156 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.156 * [backup-simplify]: Simplify (* -1 -1) into 1 4.156 * [taylor]: Taking taylor expansion of 1 in n 4.156 * [backup-simplify]: Simplify 1 into 1 4.156 * [backup-simplify]: Simplify 1 into 1 4.157 * [backup-simplify]: Simplify (+ 0 1) into 1 4.157 * [backup-simplify]: Simplify (- 0) into 0 4.158 * [backup-simplify]: Simplify (+ 1 0) into 1 4.158 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.158 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.158 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.158 * [taylor]: Taking taylor expansion of 2 in n 4.158 * [backup-simplify]: Simplify 2 into 2 4.158 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.159 * [taylor]: Taking taylor expansion of n in n 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 1 into 1 4.159 * [backup-simplify]: Simplify (/ 1 1) into 1 4.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.160 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.160 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify (+ 0 0) into 0 4.161 * [backup-simplify]: Simplify (- 0) into 0 4.162 * [backup-simplify]: Simplify (+ 0 0) into 0 4.162 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.163 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.163 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.163 * [taylor]: Taking taylor expansion of 2 in n 4.163 * [backup-simplify]: Simplify 2 into 2 4.163 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.163 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.163 * [taylor]: Taking taylor expansion of n in n 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 1 into 1 4.164 * [backup-simplify]: Simplify (* 1 1) into 1 4.164 * [backup-simplify]: Simplify (/ 1 1) into 1 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.168 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.168 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.170 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify (+ 0 0) into 0 4.171 * [backup-simplify]: Simplify (- 0) into 0 4.172 * [backup-simplify]: Simplify (+ 0 0) into 0 4.172 * [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)))) 4.173 * [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))) 4.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.173 * [taylor]: Taking taylor expansion of 2 in n 4.174 * [backup-simplify]: Simplify 2 into 2 4.174 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.174 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.174 * [taylor]: Taking taylor expansion of n in n 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify 1 into 1 4.174 * [backup-simplify]: Simplify (* 1 1) into 1 4.174 * [backup-simplify]: Simplify (* 1 1) into 1 4.175 * [backup-simplify]: Simplify (/ 1 1) into 1 4.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.184 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify 1 into 1 4.185 * [backup-simplify]: Simplify (/ 1 (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.185 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.185 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.185 * [taylor]: Taking taylor expansion of -1 in n 4.185 * [backup-simplify]: Simplify -1 into -1 4.185 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.185 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.185 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.185 * [taylor]: Taking taylor expansion of f in n 4.185 * [backup-simplify]: Simplify f into f 4.185 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.185 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.185 * [taylor]: Taking taylor expansion of n in n 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 1 into 1 4.186 * [backup-simplify]: Simplify (/ 1 1) into 1 4.186 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.186 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.186 * [taylor]: Taking taylor expansion of f in n 4.186 * [backup-simplify]: Simplify f into f 4.186 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.186 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.186 * [taylor]: Taking taylor expansion of n in n 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 1 into 1 4.186 * [backup-simplify]: Simplify (/ 1 1) into 1 4.187 * [backup-simplify]: Simplify (+ 0 1) into 1 4.187 * [backup-simplify]: Simplify (- 1) into -1 4.187 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.188 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.188 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.188 * [taylor]: Taking taylor expansion of -1 in f 4.188 * [backup-simplify]: Simplify -1 into -1 4.188 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.188 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.188 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.188 * [taylor]: Taking taylor expansion of f in f 4.188 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify 1 into 1 4.188 * [backup-simplify]: Simplify (/ 1 1) into 1 4.188 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.188 * [taylor]: Taking taylor expansion of n in f 4.189 * [backup-simplify]: Simplify n into n 4.189 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.189 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.189 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.189 * [taylor]: Taking taylor expansion of f in f 4.189 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify 1 into 1 4.189 * [backup-simplify]: Simplify (/ 1 1) into 1 4.189 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.189 * [taylor]: Taking taylor expansion of n in f 4.189 * [backup-simplify]: Simplify n into n 4.189 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.190 * [backup-simplify]: Simplify (+ 1 0) into 1 4.190 * [backup-simplify]: Simplify (+ 1 0) into 1 4.190 * [backup-simplify]: Simplify (/ 1 1) into 1 4.191 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.191 * [taylor]: Taking taylor expansion of -1 in f 4.191 * [backup-simplify]: Simplify -1 into -1 4.191 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.191 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.191 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.191 * [taylor]: Taking taylor expansion of f in f 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 1 into 1 4.191 * [backup-simplify]: Simplify (/ 1 1) into 1 4.191 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.191 * [taylor]: Taking taylor expansion of n in f 4.191 * [backup-simplify]: Simplify n into n 4.191 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.191 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.191 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.191 * [taylor]: Taking taylor expansion of f in f 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 1 into 1 4.192 * [backup-simplify]: Simplify (/ 1 1) into 1 4.192 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.192 * [taylor]: Taking taylor expansion of n in f 4.192 * [backup-simplify]: Simplify n into n 4.192 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.192 * [backup-simplify]: Simplify (+ 1 0) into 1 4.193 * [backup-simplify]: Simplify (+ 1 0) into 1 4.193 * [backup-simplify]: Simplify (/ 1 1) into 1 4.194 * [backup-simplify]: Simplify (* -1 1) into -1 4.194 * [taylor]: Taking taylor expansion of -1 in n 4.194 * [backup-simplify]: Simplify -1 into -1 4.194 * [backup-simplify]: Simplify -1 into -1 4.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.195 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.195 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.196 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.196 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.197 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.197 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.197 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.197 * [taylor]: Taking taylor expansion of 2 in n 4.197 * [backup-simplify]: Simplify 2 into 2 4.197 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.197 * [taylor]: Taking taylor expansion of n in n 4.197 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify 1 into 1 4.197 * [backup-simplify]: Simplify (/ 1 1) into 1 4.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.199 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.199 * [backup-simplify]: Simplify (- 0) into 0 4.199 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.201 * [backup-simplify]: Simplify (+ 0 0) into 0 4.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.202 * [backup-simplify]: Simplify (- 0) into 0 4.202 * [backup-simplify]: Simplify (+ 0 0) into 0 4.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.203 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.203 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.203 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.203 * [taylor]: Taking taylor expansion of 2 in n 4.203 * [backup-simplify]: Simplify 2 into 2 4.203 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.203 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.203 * [taylor]: Taking taylor expansion of n in n 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 1 into 1 4.204 * [backup-simplify]: Simplify (* 1 1) into 1 4.204 * [backup-simplify]: Simplify (/ 1 1) into 1 4.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.206 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.206 * [backup-simplify]: Simplify (- 0) into 0 4.206 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.208 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.208 * [backup-simplify]: Simplify (- 0) into 0 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.209 * [backup-simplify]: Simplify (+ 0 0) into 0 4.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.210 * [backup-simplify]: Simplify (- 0) into 0 4.210 * [backup-simplify]: Simplify (+ 0 0) into 0 4.211 * [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))) 4.212 * [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)))) 4.212 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.212 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.212 * [taylor]: Taking taylor expansion of 2 in n 4.212 * [backup-simplify]: Simplify 2 into 2 4.212 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.212 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.212 * [taylor]: Taking taylor expansion of n in n 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 1 into 1 4.212 * [backup-simplify]: Simplify (* 1 1) into 1 4.212 * [backup-simplify]: Simplify (* 1 1) into 1 4.213 * [backup-simplify]: Simplify (/ 1 1) into 1 4.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.218 * [backup-simplify]: Simplify (- 0) into 0 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify -1 into -1 4.218 * [backup-simplify]: Simplify (/ 1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.218 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.218 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.218 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.218 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.218 * [taylor]: Taking taylor expansion of f in n 4.218 * [backup-simplify]: Simplify f into f 4.218 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.218 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.218 * [taylor]: Taking taylor expansion of n in n 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (/ 1 1) into 1 4.219 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.219 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.219 * [taylor]: Taking taylor expansion of n in n 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (/ 1 1) into 1 4.219 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.219 * [taylor]: Taking taylor expansion of f in n 4.219 * [backup-simplify]: Simplify f into f 4.219 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.219 * [backup-simplify]: Simplify (+ 0 1) into 1 4.220 * [backup-simplify]: Simplify (+ 1 0) into 1 4.220 * [backup-simplify]: Simplify (/ 1 1) into 1 4.220 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.220 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.220 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.220 * [taylor]: Taking taylor expansion of f in f 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (/ 1 1) into 1 4.220 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.220 * [taylor]: Taking taylor expansion of n in f 4.220 * [backup-simplify]: Simplify n into n 4.220 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.220 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.220 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.220 * [taylor]: Taking taylor expansion of n in f 4.220 * [backup-simplify]: Simplify n into n 4.220 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.220 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.220 * [taylor]: Taking taylor expansion of f in f 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.221 * [backup-simplify]: Simplify (/ 1 1) into 1 4.221 * [backup-simplify]: Simplify (+ 1 0) into 1 4.221 * [backup-simplify]: Simplify (- 1) into -1 4.221 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.222 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.222 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.222 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.222 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.222 * [taylor]: Taking taylor expansion of f in f 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify 1 into 1 4.222 * [backup-simplify]: Simplify (/ 1 1) into 1 4.222 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.222 * [taylor]: Taking taylor expansion of n in f 4.222 * [backup-simplify]: Simplify n into n 4.222 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.222 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.222 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.222 * [taylor]: Taking taylor expansion of n in f 4.222 * [backup-simplify]: Simplify n into n 4.222 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.222 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.222 * [taylor]: Taking taylor expansion of f in f 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify 1 into 1 4.223 * [backup-simplify]: Simplify (/ 1 1) into 1 4.223 * [backup-simplify]: Simplify (+ 1 0) into 1 4.223 * [backup-simplify]: Simplify (- 1) into -1 4.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.224 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.224 * [taylor]: Taking taylor expansion of -1 in n 4.224 * [backup-simplify]: Simplify -1 into -1 4.224 * [backup-simplify]: Simplify -1 into -1 4.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.224 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.225 * [backup-simplify]: Simplify (- 0) into 0 4.225 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.225 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.225 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.225 * [taylor]: Taking taylor expansion of 2 in n 4.225 * [backup-simplify]: Simplify 2 into 2 4.225 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.225 * [taylor]: Taking taylor expansion of n in n 4.225 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify 1 into 1 4.225 * [backup-simplify]: Simplify (/ 1 1) into 1 4.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.226 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.227 * [backup-simplify]: Simplify (- 0) into 0 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.228 * [backup-simplify]: Simplify (+ 0 0) into 0 4.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.228 * [backup-simplify]: Simplify (- 0) into 0 4.229 * [backup-simplify]: Simplify (+ 0 0) into 0 4.229 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.229 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.229 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.229 * [taylor]: Taking taylor expansion of 2 in n 4.229 * [backup-simplify]: Simplify 2 into 2 4.229 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.229 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.230 * [taylor]: Taking taylor expansion of n in n 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify 1 into 1 4.230 * [backup-simplify]: Simplify (* 1 1) into 1 4.230 * [backup-simplify]: Simplify (/ 1 1) into 1 4.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.232 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.233 * [backup-simplify]: Simplify (- 0) into 0 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.234 * [backup-simplify]: Simplify (- 0) into 0 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.235 * [backup-simplify]: Simplify (+ 0 0) into 0 4.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.236 * [backup-simplify]: Simplify (- 0) into 0 4.236 * [backup-simplify]: Simplify (+ 0 0) into 0 4.244 * [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)))) 4.244 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.244 * [taylor]: Taking taylor expansion of 2 in n 4.244 * [backup-simplify]: Simplify 2 into 2 4.244 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.244 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.244 * [taylor]: Taking taylor expansion of n in n 4.244 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify 1 into 1 4.245 * [backup-simplify]: Simplify (* 1 1) into 1 4.245 * [backup-simplify]: Simplify (* 1 1) into 1 4.245 * [backup-simplify]: Simplify (/ 1 1) into 1 4.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.255 * [backup-simplify]: Simplify (- 0) into 0 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify -1 into -1 4.255 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 4.255 * [backup-simplify]: Simplify (/ (- f n) (- (+ f n))) into (* -1 (/ (- f n) (+ n f))) 4.255 * [approximate]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in (f n) around 0 4.255 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in n 4.255 * [taylor]: Taking taylor expansion of -1 in n 4.255 * [backup-simplify]: Simplify -1 into -1 4.255 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 4.255 * [taylor]: Taking taylor expansion of (- f n) in n 4.255 * [taylor]: Taking taylor expansion of f in n 4.255 * [backup-simplify]: Simplify f into f 4.255 * [taylor]: Taking taylor expansion of n in n 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify 1 into 1 4.255 * [taylor]: Taking taylor expansion of (+ n f) in n 4.255 * [taylor]: Taking taylor expansion of n in n 4.255 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify 1 into 1 4.256 * [taylor]: Taking taylor expansion of f in n 4.256 * [backup-simplify]: Simplify f into f 4.256 * [backup-simplify]: Simplify (- 0) into 0 4.256 * [backup-simplify]: Simplify (+ f 0) into f 4.256 * [backup-simplify]: Simplify (+ 0 f) into f 4.256 * [backup-simplify]: Simplify (/ f f) into 1 4.256 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 4.256 * [taylor]: Taking taylor expansion of -1 in f 4.256 * [backup-simplify]: Simplify -1 into -1 4.256 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 4.256 * [taylor]: Taking taylor expansion of (- f n) in f 4.256 * [taylor]: Taking taylor expansion of f in f 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify 1 into 1 4.256 * [taylor]: Taking taylor expansion of n in f 4.256 * [backup-simplify]: Simplify n into n 4.256 * [taylor]: Taking taylor expansion of (+ n f) in f 4.257 * [taylor]: Taking taylor expansion of n in f 4.257 * [backup-simplify]: Simplify n into n 4.257 * [taylor]: Taking taylor expansion of f in f 4.257 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify 1 into 1 4.257 * [backup-simplify]: Simplify (- n) into (- n) 4.257 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.257 * [backup-simplify]: Simplify (+ n 0) into n 4.257 * [backup-simplify]: Simplify (/ (- n) n) into -1 4.257 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 4.257 * [taylor]: Taking taylor expansion of -1 in f 4.257 * [backup-simplify]: Simplify -1 into -1 4.257 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 4.257 * [taylor]: Taking taylor expansion of (- f n) in f 4.257 * [taylor]: Taking taylor expansion of f in f 4.257 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify 1 into 1 4.257 * [taylor]: Taking taylor expansion of n in f 4.257 * [backup-simplify]: Simplify n into n 4.257 * [taylor]: Taking taylor expansion of (+ n f) in f 4.257 * [taylor]: Taking taylor expansion of n in f 4.257 * [backup-simplify]: Simplify n into n 4.257 * [taylor]: Taking taylor expansion of f in f 4.257 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify 1 into 1 4.257 * [backup-simplify]: Simplify (- n) into (- n) 4.258 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.258 * [backup-simplify]: Simplify (+ n 0) into n 4.258 * [backup-simplify]: Simplify (/ (- n) n) into -1 4.258 * [backup-simplify]: Simplify (* -1 -1) into 1 4.258 * [taylor]: Taking taylor expansion of 1 in n 4.258 * [backup-simplify]: Simplify 1 into 1 4.258 * [backup-simplify]: Simplify 1 into 1 4.259 * [backup-simplify]: Simplify (- 0) into 0 4.259 * [backup-simplify]: Simplify (+ 1 0) into 1 4.260 * [backup-simplify]: Simplify (+ 0 1) into 1 4.260 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 4.261 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 4.261 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.261 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.261 * [taylor]: Taking taylor expansion of 2 in n 4.261 * [backup-simplify]: Simplify 2 into 2 4.261 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.261 * [taylor]: Taking taylor expansion of n in n 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify (/ 1 1) into 1 4.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.263 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.263 * [backup-simplify]: Simplify (- 0) into 0 4.263 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify (- 0) into 0 4.264 * [backup-simplify]: Simplify (+ 0 0) into 0 4.265 * [backup-simplify]: Simplify (+ 0 0) into 0 4.265 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 4.266 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.266 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.266 * [taylor]: Taking taylor expansion of 2 in n 4.266 * [backup-simplify]: Simplify 2 into 2 4.266 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.266 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.266 * [taylor]: Taking taylor expansion of n in n 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 1 into 1 4.266 * [backup-simplify]: Simplify (* 1 1) into 1 4.267 * [backup-simplify]: Simplify (/ 1 1) into 1 4.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.271 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.271 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.273 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.274 * [backup-simplify]: Simplify (- 0) into 0 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify (- 0) into 0 4.274 * [backup-simplify]: Simplify (+ 0 0) into 0 4.275 * [backup-simplify]: Simplify (+ 0 0) into 0 4.275 * [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))) 4.276 * [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)))) 4.276 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.276 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.277 * [taylor]: Taking taylor expansion of 2 in n 4.277 * [backup-simplify]: Simplify 2 into 2 4.277 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.277 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.277 * [taylor]: Taking taylor expansion of n in n 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 1 into 1 4.277 * [backup-simplify]: Simplify (* 1 1) into 1 4.277 * [backup-simplify]: Simplify (* 1 1) into 1 4.278 * [backup-simplify]: Simplify (/ 1 1) into 1 4.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.287 * [backup-simplify]: Simplify (- 0) into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 1 into 1 4.287 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 4.287 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 4.287 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 4.287 * [taylor]: Taking taylor expansion of -1 in n 4.287 * [backup-simplify]: Simplify -1 into -1 4.287 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 4.287 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.287 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.287 * [taylor]: Taking taylor expansion of f in n 4.287 * [backup-simplify]: Simplify f into f 4.287 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.287 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.287 * [taylor]: Taking taylor expansion of n in n 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 1 into 1 4.287 * [backup-simplify]: Simplify (/ 1 1) into 1 4.287 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.288 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.288 * [taylor]: Taking taylor expansion of f in n 4.288 * [backup-simplify]: Simplify f into f 4.288 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.288 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.288 * [taylor]: Taking taylor expansion of n in n 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 1 into 1 4.288 * [backup-simplify]: Simplify (/ 1 1) into 1 4.288 * [backup-simplify]: Simplify (- 1) into -1 4.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.289 * [backup-simplify]: Simplify (+ 0 1) into 1 4.289 * [backup-simplify]: Simplify (/ -1 1) into -1 4.289 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 4.289 * [taylor]: Taking taylor expansion of -1 in f 4.289 * [backup-simplify]: Simplify -1 into -1 4.289 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 4.289 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.289 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.289 * [taylor]: Taking taylor expansion of f in f 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [backup-simplify]: Simplify (/ 1 1) into 1 4.289 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.289 * [taylor]: Taking taylor expansion of n in f 4.289 * [backup-simplify]: Simplify n into n 4.289 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.289 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.289 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.289 * [taylor]: Taking taylor expansion of f in f 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.290 * [backup-simplify]: Simplify (/ 1 1) into 1 4.290 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.290 * [taylor]: Taking taylor expansion of n in f 4.290 * [backup-simplify]: Simplify n into n 4.290 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.290 * [backup-simplify]: Simplify (+ 1 0) into 1 4.290 * [backup-simplify]: Simplify (+ 1 0) into 1 4.291 * [backup-simplify]: Simplify (/ 1 1) into 1 4.291 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 4.291 * [taylor]: Taking taylor expansion of -1 in f 4.291 * [backup-simplify]: Simplify -1 into -1 4.291 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 4.291 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.291 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.291 * [taylor]: Taking taylor expansion of f in f 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify (/ 1 1) into 1 4.291 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.291 * [taylor]: Taking taylor expansion of n in f 4.291 * [backup-simplify]: Simplify n into n 4.291 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.291 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.291 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.291 * [taylor]: Taking taylor expansion of f in f 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify (/ 1 1) into 1 4.291 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.291 * [taylor]: Taking taylor expansion of n in f 4.291 * [backup-simplify]: Simplify n into n 4.291 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.292 * [backup-simplify]: Simplify (+ 1 0) into 1 4.292 * [backup-simplify]: Simplify (+ 1 0) into 1 4.292 * [backup-simplify]: Simplify (/ 1 1) into 1 4.293 * [backup-simplify]: Simplify (* -1 1) into -1 4.293 * [taylor]: Taking taylor expansion of -1 in n 4.293 * [backup-simplify]: Simplify -1 into -1 4.293 * [backup-simplify]: Simplify -1 into -1 4.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.293 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.293 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.294 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.294 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 4.294 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 1)) into (* 2 (/ 1 n)) 4.294 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.294 * [taylor]: Taking taylor expansion of 2 in n 4.294 * [backup-simplify]: Simplify 2 into 2 4.294 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.294 * [taylor]: Taking taylor expansion of n in n 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 1 into 1 4.295 * [backup-simplify]: Simplify (/ 1 1) into 1 4.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.295 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.295 * [backup-simplify]: Simplify 0 into 0 4.295 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.296 * [backup-simplify]: Simplify (- 0) into 0 4.296 * [backup-simplify]: Simplify (+ 0 0) into 0 4.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.297 * [backup-simplify]: Simplify (+ 0 0) into 0 4.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 4.299 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.299 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.299 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.299 * [taylor]: Taking taylor expansion of 2 in n 4.299 * [backup-simplify]: Simplify 2 into 2 4.299 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.299 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.299 * [taylor]: Taking taylor expansion of n in n 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify 1 into 1 4.299 * [backup-simplify]: Simplify (* 1 1) into 1 4.299 * [backup-simplify]: Simplify (/ 1 1) into 1 4.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.302 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.302 * [backup-simplify]: Simplify (- 0) into 0 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.303 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.303 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.304 * [backup-simplify]: Simplify (- 0) into 0 4.304 * [backup-simplify]: Simplify (+ 0 0) into 0 4.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.305 * [backup-simplify]: Simplify (+ 0 0) into 0 4.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.307 * [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))) 4.307 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.307 * [taylor]: Taking taylor expansion of 2 in n 4.307 * [backup-simplify]: Simplify 2 into 2 4.307 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.307 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.307 * [taylor]: Taking taylor expansion of n in n 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 1 into 1 4.307 * [backup-simplify]: Simplify (* 1 1) into 1 4.307 * [backup-simplify]: Simplify (* 1 1) into 1 4.308 * [backup-simplify]: Simplify (/ 1 1) into 1 4.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.313 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify -1 into -1 4.313 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 4.313 * [approximate]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 4.313 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 4.313 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.313 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.313 * [taylor]: Taking taylor expansion of n in n 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [backup-simplify]: Simplify (/ 1 1) into 1 4.313 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.313 * [taylor]: Taking taylor expansion of f in n 4.313 * [backup-simplify]: Simplify f into f 4.313 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.313 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.313 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.313 * [taylor]: Taking taylor expansion of f in n 4.313 * [backup-simplify]: Simplify f into f 4.313 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.313 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.313 * [taylor]: Taking taylor expansion of n in n 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 1 into 1 4.314 * [backup-simplify]: Simplify (/ 1 1) into 1 4.314 * [backup-simplify]: Simplify (+ 1 0) into 1 4.314 * [backup-simplify]: Simplify (+ 0 1) into 1 4.315 * [backup-simplify]: Simplify (/ 1 1) into 1 4.315 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 4.315 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.315 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.315 * [taylor]: Taking taylor expansion of n in f 4.315 * [backup-simplify]: Simplify n into n 4.315 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.315 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.315 * [taylor]: Taking taylor expansion of f in f 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 1 into 1 4.315 * [backup-simplify]: Simplify (/ 1 1) into 1 4.315 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.315 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.315 * [taylor]: Taking taylor expansion of f in f 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 1 into 1 4.315 * [backup-simplify]: Simplify (/ 1 1) into 1 4.315 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.315 * [taylor]: Taking taylor expansion of n in f 4.315 * [backup-simplify]: Simplify n into n 4.315 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.316 * [backup-simplify]: Simplify (- 1) into -1 4.316 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.316 * [backup-simplify]: Simplify (+ 1 0) into 1 4.316 * [backup-simplify]: Simplify (/ -1 1) into -1 4.316 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 4.316 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.316 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.316 * [taylor]: Taking taylor expansion of n in f 4.316 * [backup-simplify]: Simplify n into n 4.316 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.317 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.317 * [taylor]: Taking taylor expansion of f in f 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [backup-simplify]: Simplify (/ 1 1) into 1 4.317 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.317 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.317 * [taylor]: Taking taylor expansion of f in f 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [backup-simplify]: Simplify (/ 1 1) into 1 4.317 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.317 * [taylor]: Taking taylor expansion of n in f 4.317 * [backup-simplify]: Simplify n into n 4.317 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.318 * [backup-simplify]: Simplify (- 1) into -1 4.318 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.319 * [backup-simplify]: Simplify (+ 1 0) into 1 4.319 * [backup-simplify]: Simplify (/ -1 1) into -1 4.319 * [taylor]: Taking taylor expansion of -1 in n 4.319 * [backup-simplify]: Simplify -1 into -1 4.319 * [backup-simplify]: Simplify -1 into -1 4.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.320 * [backup-simplify]: Simplify (- 0) into 0 4.320 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.321 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.321 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 4.322 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.322 * [taylor]: Taking taylor expansion of 2 in n 4.322 * [backup-simplify]: Simplify 2 into 2 4.322 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.322 * [taylor]: Taking taylor expansion of n in n 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 1 into 1 4.322 * [backup-simplify]: Simplify (/ 1 1) into 1 4.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.323 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.324 * [backup-simplify]: Simplify 0 into 0 4.324 * [backup-simplify]: Simplify 0 into 0 4.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.325 * [backup-simplify]: Simplify (- 0) into 0 4.325 * [backup-simplify]: Simplify (+ 0 0) into 0 4.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.327 * [backup-simplify]: Simplify (+ 0 0) into 0 4.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.328 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.328 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.328 * [taylor]: Taking taylor expansion of 2 in n 4.328 * [backup-simplify]: Simplify 2 into 2 4.328 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.328 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.328 * [taylor]: Taking taylor expansion of n in n 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 1 into 1 4.329 * [backup-simplify]: Simplify (* 1 1) into 1 4.329 * [backup-simplify]: Simplify (/ 1 1) into 1 4.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.333 * [backup-simplify]: Simplify (- 0) into 0 4.333 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.334 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.335 * [backup-simplify]: Simplify (- 0) into 0 4.336 * [backup-simplify]: Simplify (+ 0 0) into 0 4.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.337 * [backup-simplify]: Simplify (+ 0 0) into 0 4.338 * [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))) 4.338 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.338 * [taylor]: Taking taylor expansion of 2 in n 4.338 * [backup-simplify]: Simplify 2 into 2 4.338 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.338 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.338 * [taylor]: Taking taylor expansion of n in n 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 1 into 1 4.338 * [backup-simplify]: Simplify (* 1 1) into 1 4.338 * [backup-simplify]: Simplify (* 1 1) into 1 4.339 * [backup-simplify]: Simplify (/ 1 1) into 1 4.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.344 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.344 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify -1 into -1 4.344 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.344 * [backup-simplify]: Simplify (log (exp (/ 1 (/ (- f n) (- (+ f n)))))) into (* -1 (/ (+ n f) (- f n))) 4.344 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.344 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.344 * [taylor]: Taking taylor expansion of -1 in n 4.344 * [backup-simplify]: Simplify -1 into -1 4.344 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.344 * [taylor]: Taking taylor expansion of (+ n f) in n 4.344 * [taylor]: Taking taylor expansion of n in n 4.344 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify 1 into 1 4.344 * [taylor]: Taking taylor expansion of f in n 4.344 * [backup-simplify]: Simplify f into f 4.344 * [taylor]: Taking taylor expansion of (- f n) in n 4.344 * [taylor]: Taking taylor expansion of f in n 4.344 * [backup-simplify]: Simplify f into f 4.344 * [taylor]: Taking taylor expansion of n in n 4.344 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify 1 into 1 4.344 * [backup-simplify]: Simplify (+ 0 f) into f 4.345 * [backup-simplify]: Simplify (- 0) into 0 4.345 * [backup-simplify]: Simplify (+ f 0) into f 4.345 * [backup-simplify]: Simplify (/ f f) into 1 4.345 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.345 * [taylor]: Taking taylor expansion of -1 in f 4.345 * [backup-simplify]: Simplify -1 into -1 4.345 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.345 * [taylor]: Taking taylor expansion of (+ n f) in f 4.345 * [taylor]: Taking taylor expansion of n in f 4.345 * [backup-simplify]: Simplify n into n 4.345 * [taylor]: Taking taylor expansion of f in f 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify 1 into 1 4.345 * [taylor]: Taking taylor expansion of (- f n) in f 4.345 * [taylor]: Taking taylor expansion of f in f 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify 1 into 1 4.345 * [taylor]: Taking taylor expansion of n in f 4.345 * [backup-simplify]: Simplify n into n 4.345 * [backup-simplify]: Simplify (+ n 0) into n 4.345 * [backup-simplify]: Simplify (- n) into (- n) 4.345 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.345 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.345 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.345 * [taylor]: Taking taylor expansion of -1 in f 4.345 * [backup-simplify]: Simplify -1 into -1 4.345 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.345 * [taylor]: Taking taylor expansion of (+ n f) in f 4.345 * [taylor]: Taking taylor expansion of n in f 4.345 * [backup-simplify]: Simplify n into n 4.345 * [taylor]: Taking taylor expansion of f in f 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify 1 into 1 4.345 * [taylor]: Taking taylor expansion of (- f n) in f 4.345 * [taylor]: Taking taylor expansion of f in f 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify 1 into 1 4.345 * [taylor]: Taking taylor expansion of n in f 4.345 * [backup-simplify]: Simplify n into n 4.345 * [backup-simplify]: Simplify (+ n 0) into n 4.345 * [backup-simplify]: Simplify (- n) into (- n) 4.345 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.345 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.346 * [backup-simplify]: Simplify (* -1 -1) into 1 4.346 * [taylor]: Taking taylor expansion of 1 in n 4.346 * [backup-simplify]: Simplify 1 into 1 4.346 * [backup-simplify]: Simplify 1 into 1 4.346 * [backup-simplify]: Simplify (+ 0 1) into 1 4.346 * [backup-simplify]: Simplify (- 0) into 0 4.347 * [backup-simplify]: Simplify (+ 1 0) into 1 4.347 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.347 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.347 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.347 * [taylor]: Taking taylor expansion of 2 in n 4.348 * [backup-simplify]: Simplify 2 into 2 4.348 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.348 * [taylor]: Taking taylor expansion of n in n 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify 1 into 1 4.348 * [backup-simplify]: Simplify (/ 1 1) into 1 4.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify (+ 0 0) into 0 4.349 * [backup-simplify]: Simplify (- 0) into 0 4.350 * [backup-simplify]: Simplify (+ 0 0) into 0 4.350 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.350 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.350 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.350 * [taylor]: Taking taylor expansion of 2 in n 4.350 * [backup-simplify]: Simplify 2 into 2 4.350 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.350 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.351 * [taylor]: Taking taylor expansion of n in n 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify 1 into 1 4.351 * [backup-simplify]: Simplify (* 1 1) into 1 4.351 * [backup-simplify]: Simplify (/ 1 1) into 1 4.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.354 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.354 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.355 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.355 * [backup-simplify]: Simplify 0 into 0 4.356 * [backup-simplify]: Simplify 0 into 0 4.356 * [backup-simplify]: Simplify (+ 0 0) into 0 4.356 * [backup-simplify]: Simplify (- 0) into 0 4.356 * [backup-simplify]: Simplify (+ 0 0) into 0 4.357 * [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)))) 4.360 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 4.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.360 * [taylor]: Taking taylor expansion of 2 in n 4.360 * [backup-simplify]: Simplify 2 into 2 4.360 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.360 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.360 * [taylor]: Taking taylor expansion of n in n 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 1 into 1 4.360 * [backup-simplify]: Simplify (* 1 1) into 1 4.361 * [backup-simplify]: Simplify (* 1 1) into 1 4.361 * [backup-simplify]: Simplify (/ 1 1) into 1 4.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.366 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify 1 into 1 4.366 * [backup-simplify]: Simplify (log (exp (/ 1 (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n))))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.366 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.366 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.366 * [taylor]: Taking taylor expansion of -1 in n 4.366 * [backup-simplify]: Simplify -1 into -1 4.367 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.367 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.367 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.367 * [taylor]: Taking taylor expansion of f in n 4.367 * [backup-simplify]: Simplify f into f 4.367 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.367 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.367 * [taylor]: Taking taylor expansion of n in n 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.367 * [backup-simplify]: Simplify (/ 1 1) into 1 4.367 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.367 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.367 * [taylor]: Taking taylor expansion of f in n 4.367 * [backup-simplify]: Simplify f into f 4.367 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.367 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.367 * [taylor]: Taking taylor expansion of n in n 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.367 * [backup-simplify]: Simplify (/ 1 1) into 1 4.368 * [backup-simplify]: Simplify (+ 0 1) into 1 4.368 * [backup-simplify]: Simplify (- 1) into -1 4.368 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.368 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.368 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.368 * [taylor]: Taking taylor expansion of -1 in f 4.368 * [backup-simplify]: Simplify -1 into -1 4.368 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.368 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.368 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.368 * [taylor]: Taking taylor expansion of f in f 4.368 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify 1 into 1 4.369 * [backup-simplify]: Simplify (/ 1 1) into 1 4.369 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.369 * [taylor]: Taking taylor expansion of n in f 4.369 * [backup-simplify]: Simplify n into n 4.369 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.369 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.369 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.369 * [taylor]: Taking taylor expansion of f in f 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify 1 into 1 4.369 * [backup-simplify]: Simplify (/ 1 1) into 1 4.369 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.369 * [taylor]: Taking taylor expansion of n in f 4.369 * [backup-simplify]: Simplify n into n 4.369 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.370 * [backup-simplify]: Simplify (+ 1 0) into 1 4.370 * [backup-simplify]: Simplify (+ 1 0) into 1 4.370 * [backup-simplify]: Simplify (/ 1 1) into 1 4.370 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.370 * [taylor]: Taking taylor expansion of -1 in f 4.370 * [backup-simplify]: Simplify -1 into -1 4.370 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.370 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.370 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.370 * [taylor]: Taking taylor expansion of f in f 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.370 * [backup-simplify]: Simplify (/ 1 1) into 1 4.370 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.370 * [taylor]: Taking taylor expansion of n in f 4.370 * [backup-simplify]: Simplify n into n 4.370 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.370 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.371 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.371 * [taylor]: Taking taylor expansion of f in f 4.371 * [backup-simplify]: Simplify 0 into 0 4.371 * [backup-simplify]: Simplify 1 into 1 4.371 * [backup-simplify]: Simplify (/ 1 1) into 1 4.371 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.371 * [taylor]: Taking taylor expansion of n in f 4.371 * [backup-simplify]: Simplify n into n 4.371 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.371 * [backup-simplify]: Simplify (+ 1 0) into 1 4.371 * [backup-simplify]: Simplify (+ 1 0) into 1 4.372 * [backup-simplify]: Simplify (/ 1 1) into 1 4.372 * [backup-simplify]: Simplify (* -1 1) into -1 4.372 * [taylor]: Taking taylor expansion of -1 in n 4.372 * [backup-simplify]: Simplify -1 into -1 4.372 * [backup-simplify]: Simplify -1 into -1 4.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.373 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.373 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.373 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.373 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.374 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.374 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.374 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.374 * [taylor]: Taking taylor expansion of 2 in n 4.374 * [backup-simplify]: Simplify 2 into 2 4.374 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.374 * [taylor]: Taking taylor expansion of n in n 4.374 * [backup-simplify]: Simplify 0 into 0 4.374 * [backup-simplify]: Simplify 1 into 1 4.374 * [backup-simplify]: Simplify (/ 1 1) into 1 4.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.375 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.375 * [backup-simplify]: Simplify (- 0) into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.376 * [backup-simplify]: Simplify (+ 0 0) into 0 4.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.377 * [backup-simplify]: Simplify (- 0) into 0 4.377 * [backup-simplify]: Simplify (+ 0 0) into 0 4.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.378 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.378 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.378 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.378 * [taylor]: Taking taylor expansion of 2 in n 4.378 * [backup-simplify]: Simplify 2 into 2 4.378 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.378 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.378 * [taylor]: Taking taylor expansion of n in n 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify 1 into 1 4.379 * [backup-simplify]: Simplify (* 1 1) into 1 4.379 * [backup-simplify]: Simplify (/ 1 1) into 1 4.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.381 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.381 * [backup-simplify]: Simplify (- 0) into 0 4.381 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.383 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.383 * [backup-simplify]: Simplify (- 0) into 0 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.384 * [backup-simplify]: Simplify (+ 0 0) into 0 4.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.385 * [backup-simplify]: Simplify (- 0) into 0 4.385 * [backup-simplify]: Simplify (+ 0 0) into 0 4.386 * [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))) 4.386 * [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)))) 4.386 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.386 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.386 * [taylor]: Taking taylor expansion of 2 in n 4.387 * [backup-simplify]: Simplify 2 into 2 4.387 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.387 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.387 * [taylor]: Taking taylor expansion of n in n 4.387 * [backup-simplify]: Simplify 0 into 0 4.387 * [backup-simplify]: Simplify 1 into 1 4.387 * [backup-simplify]: Simplify (* 1 1) into 1 4.387 * [backup-simplify]: Simplify (* 1 1) into 1 4.387 * [backup-simplify]: Simplify (/ 1 1) into 1 4.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.392 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.392 * [backup-simplify]: Simplify (- 0) into 0 4.392 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify -1 into -1 4.393 * [backup-simplify]: Simplify (log (exp (/ 1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n)))))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.393 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.393 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.393 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.393 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.393 * [taylor]: Taking taylor expansion of f in n 4.393 * [backup-simplify]: Simplify f into f 4.393 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.393 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.393 * [taylor]: Taking taylor expansion of n in n 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify 1 into 1 4.394 * [backup-simplify]: Simplify (/ 1 1) into 1 4.394 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.394 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.394 * [taylor]: Taking taylor expansion of n in n 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 1 into 1 4.394 * [backup-simplify]: Simplify (/ 1 1) into 1 4.394 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.394 * [taylor]: Taking taylor expansion of f in n 4.394 * [backup-simplify]: Simplify f into f 4.394 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.395 * [backup-simplify]: Simplify (+ 0 1) into 1 4.395 * [backup-simplify]: Simplify (+ 1 0) into 1 4.395 * [backup-simplify]: Simplify (/ 1 1) into 1 4.395 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.395 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.396 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.396 * [taylor]: Taking taylor expansion of f in f 4.396 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify 1 into 1 4.396 * [backup-simplify]: Simplify (/ 1 1) into 1 4.396 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.396 * [taylor]: Taking taylor expansion of n in f 4.396 * [backup-simplify]: Simplify n into n 4.396 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.396 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.396 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.396 * [taylor]: Taking taylor expansion of n in f 4.396 * [backup-simplify]: Simplify n into n 4.396 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.396 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.396 * [taylor]: Taking taylor expansion of f in f 4.396 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify 1 into 1 4.397 * [backup-simplify]: Simplify (/ 1 1) into 1 4.397 * [backup-simplify]: Simplify (+ 1 0) into 1 4.398 * [backup-simplify]: Simplify (- 1) into -1 4.398 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.398 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.398 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.398 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.399 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.399 * [taylor]: Taking taylor expansion of f in f 4.399 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify 1 into 1 4.399 * [backup-simplify]: Simplify (/ 1 1) into 1 4.399 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.399 * [taylor]: Taking taylor expansion of n in f 4.399 * [backup-simplify]: Simplify n into n 4.399 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.399 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.399 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.399 * [taylor]: Taking taylor expansion of n in f 4.399 * [backup-simplify]: Simplify n into n 4.399 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.399 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.399 * [taylor]: Taking taylor expansion of f in f 4.399 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify 1 into 1 4.400 * [backup-simplify]: Simplify (/ 1 1) into 1 4.400 * [backup-simplify]: Simplify (+ 1 0) into 1 4.401 * [backup-simplify]: Simplify (- 1) into -1 4.401 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.401 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.402 * [taylor]: Taking taylor expansion of -1 in n 4.402 * [backup-simplify]: Simplify -1 into -1 4.402 * [backup-simplify]: Simplify -1 into -1 4.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.402 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.404 * [backup-simplify]: Simplify (- 0) into 0 4.404 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.404 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.404 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.404 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.404 * [taylor]: Taking taylor expansion of 2 in n 4.404 * [backup-simplify]: Simplify 2 into 2 4.404 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.404 * [taylor]: Taking taylor expansion of n in n 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 1 into 1 4.404 * [backup-simplify]: Simplify (/ 1 1) into 1 4.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.406 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.406 * [backup-simplify]: Simplify (- 0) into 0 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.408 * [backup-simplify]: Simplify (+ 0 0) into 0 4.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.410 * [backup-simplify]: Simplify (- 0) into 0 4.410 * [backup-simplify]: Simplify (+ 0 0) into 0 4.411 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.411 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.411 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.411 * [taylor]: Taking taylor expansion of 2 in n 4.411 * [backup-simplify]: Simplify 2 into 2 4.411 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.411 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.411 * [taylor]: Taking taylor expansion of n in n 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [backup-simplify]: Simplify 1 into 1 4.412 * [backup-simplify]: Simplify (* 1 1) into 1 4.412 * [backup-simplify]: Simplify (/ 1 1) into 1 4.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.416 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.417 * [backup-simplify]: Simplify (- 0) into 0 4.417 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.419 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.419 * [backup-simplify]: Simplify (- 0) into 0 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.421 * [backup-simplify]: Simplify (+ 0 0) into 0 4.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.422 * [backup-simplify]: Simplify (- 0) into 0 4.422 * [backup-simplify]: Simplify (+ 0 0) into 0 4.424 * [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)))) 4.424 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.424 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.424 * [taylor]: Taking taylor expansion of 2 in n 4.424 * [backup-simplify]: Simplify 2 into 2 4.424 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.425 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.425 * [taylor]: Taking taylor expansion of n in n 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [backup-simplify]: Simplify 1 into 1 4.425 * [backup-simplify]: Simplify (* 1 1) into 1 4.425 * [backup-simplify]: Simplify (* 1 1) into 1 4.426 * [backup-simplify]: Simplify (/ 1 1) into 1 4.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.435 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.435 * [backup-simplify]: Simplify (- 0) into 0 4.435 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify -1 into -1 4.436 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.436 * [backup-simplify]: Simplify (exp (/ 1 (/ (- f n) (- (+ f n))))) into (exp (* -1 (/ (+ n f) (- f n)))) 4.436 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 4.436 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 4.436 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.436 * [taylor]: Taking taylor expansion of -1 in n 4.436 * [backup-simplify]: Simplify -1 into -1 4.436 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.436 * [taylor]: Taking taylor expansion of (+ n f) in n 4.436 * [taylor]: Taking taylor expansion of n in n 4.436 * [backup-simplify]: Simplify 0 into 0 4.436 * [backup-simplify]: Simplify 1 into 1 4.436 * [taylor]: Taking taylor expansion of f in n 4.436 * [backup-simplify]: Simplify f into f 4.436 * [taylor]: Taking taylor expansion of (- f n) in n 4.436 * [taylor]: Taking taylor expansion of f in n 4.436 * [backup-simplify]: Simplify f into f 4.436 * [taylor]: Taking taylor expansion of n in n 4.436 * [backup-simplify]: Simplify 0 into 0 4.436 * [backup-simplify]: Simplify 1 into 1 4.436 * [backup-simplify]: Simplify (+ 0 f) into f 4.437 * [backup-simplify]: Simplify (- 0) into 0 4.437 * [backup-simplify]: Simplify (+ f 0) into f 4.437 * [backup-simplify]: Simplify (/ f f) into 1 4.437 * [backup-simplify]: Simplify (* -1 1) into -1 4.438 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.438 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 4.438 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.438 * [taylor]: Taking taylor expansion of -1 in f 4.438 * [backup-simplify]: Simplify -1 into -1 4.438 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.438 * [taylor]: Taking taylor expansion of (+ n f) in f 4.438 * [taylor]: Taking taylor expansion of n in f 4.438 * [backup-simplify]: Simplify n into n 4.438 * [taylor]: Taking taylor expansion of f in f 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 1 into 1 4.438 * [taylor]: Taking taylor expansion of (- f n) in f 4.438 * [taylor]: Taking taylor expansion of f in f 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 1 into 1 4.438 * [taylor]: Taking taylor expansion of n in f 4.438 * [backup-simplify]: Simplify n into n 4.438 * [backup-simplify]: Simplify (+ n 0) into n 4.438 * [backup-simplify]: Simplify (- n) into (- n) 4.439 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.439 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.439 * [backup-simplify]: Simplify (* -1 -1) into 1 4.439 * [backup-simplify]: Simplify (exp 1) into E 4.439 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 4.439 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.439 * [taylor]: Taking taylor expansion of -1 in f 4.439 * [backup-simplify]: Simplify -1 into -1 4.439 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.439 * [taylor]: Taking taylor expansion of (+ n f) in f 4.439 * [taylor]: Taking taylor expansion of n in f 4.439 * [backup-simplify]: Simplify n into n 4.439 * [taylor]: Taking taylor expansion of f in f 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify 1 into 1 4.439 * [taylor]: Taking taylor expansion of (- f n) in f 4.439 * [taylor]: Taking taylor expansion of f in f 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify 1 into 1 4.440 * [taylor]: Taking taylor expansion of n in f 4.440 * [backup-simplify]: Simplify n into n 4.440 * [backup-simplify]: Simplify (+ n 0) into n 4.440 * [backup-simplify]: Simplify (- n) into (- n) 4.440 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.440 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.440 * [backup-simplify]: Simplify (* -1 -1) into 1 4.440 * [backup-simplify]: Simplify (exp 1) into E 4.440 * [taylor]: Taking taylor expansion of E in n 4.440 * [backup-simplify]: Simplify E into E 4.440 * [backup-simplify]: Simplify E into E 4.441 * [backup-simplify]: Simplify (+ 0 1) into 1 4.441 * [backup-simplify]: Simplify (- 0) into 0 4.442 * [backup-simplify]: Simplify (+ 1 0) into 1 4.442 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.442 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.443 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 4.443 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 4.443 * [taylor]: Taking taylor expansion of 2 in n 4.443 * [backup-simplify]: Simplify 2 into 2 4.443 * [taylor]: Taking taylor expansion of (/ E n) in n 4.443 * [taylor]: Taking taylor expansion of E in n 4.443 * [backup-simplify]: Simplify E into E 4.443 * [taylor]: Taking taylor expansion of n in n 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify 1 into 1 4.444 * [backup-simplify]: Simplify (/ E 1) into E 4.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 4.445 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 4.445 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify (+ 0 0) into 0 4.446 * [backup-simplify]: Simplify (- 0) into 0 4.447 * [backup-simplify]: Simplify (+ 0 0) into 0 4.447 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.448 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.449 * [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))) 4.449 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 4.449 * [taylor]: Taking taylor expansion of 4 in n 4.449 * [backup-simplify]: Simplify 4 into 4 4.449 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 4.449 * [taylor]: Taking taylor expansion of E in n 4.449 * [backup-simplify]: Simplify E into E 4.449 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.449 * [taylor]: Taking taylor expansion of n in n 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 1 into 1 4.449 * [backup-simplify]: Simplify (* 1 1) into 1 4.450 * [backup-simplify]: Simplify (/ E 1) into E 4.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 4.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.454 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 4.454 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.457 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 4.457 * [backup-simplify]: Simplify 0 into 0 4.457 * [backup-simplify]: Simplify 0 into 0 4.457 * [backup-simplify]: Simplify (+ 0 0) into 0 4.458 * [backup-simplify]: Simplify (- 0) into 0 4.458 * [backup-simplify]: Simplify (+ 0 0) into 0 4.459 * [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)))) 4.460 * [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))) 4.461 * [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))) 4.461 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 4.461 * [taylor]: Taking taylor expansion of 22/3 in n 4.461 * [backup-simplify]: Simplify 22/3 into 22/3 4.461 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 4.461 * [taylor]: Taking taylor expansion of E in n 4.461 * [backup-simplify]: Simplify E into E 4.461 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.461 * [taylor]: Taking taylor expansion of n in n 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [backup-simplify]: Simplify 1 into 1 4.462 * [backup-simplify]: Simplify (* 1 1) into 1 4.462 * [backup-simplify]: Simplify (* 1 1) into 1 4.463 * [backup-simplify]: Simplify (/ E 1) into E 4.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 4.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.473 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify E into E 4.473 * [backup-simplify]: Simplify (exp (/ 1 (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n)))))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 4.473 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 4.473 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 4.473 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.473 * [taylor]: Taking taylor expansion of -1 in n 4.473 * [backup-simplify]: Simplify -1 into -1 4.473 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.473 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.473 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.473 * [taylor]: Taking taylor expansion of f in n 4.473 * [backup-simplify]: Simplify f into f 4.473 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.473 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.473 * [taylor]: Taking taylor expansion of n in n 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (/ 1 1) into 1 4.474 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.474 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.474 * [taylor]: Taking taylor expansion of f in n 4.474 * [backup-simplify]: Simplify f into f 4.474 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.474 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.474 * [taylor]: Taking taylor expansion of n in n 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (/ 1 1) into 1 4.474 * [backup-simplify]: Simplify (+ 0 1) into 1 4.475 * [backup-simplify]: Simplify (- 1) into -1 4.475 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.475 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.475 * [backup-simplify]: Simplify (* -1 -1) into 1 4.475 * [backup-simplify]: Simplify (exp 1) into E 4.475 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 4.475 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.475 * [taylor]: Taking taylor expansion of -1 in f 4.475 * [backup-simplify]: Simplify -1 into -1 4.475 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.475 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.476 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.476 * [taylor]: Taking taylor expansion of f in f 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify 1 into 1 4.476 * [backup-simplify]: Simplify (/ 1 1) into 1 4.476 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.476 * [taylor]: Taking taylor expansion of n in f 4.476 * [backup-simplify]: Simplify n into n 4.476 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.476 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.476 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.476 * [taylor]: Taking taylor expansion of f in f 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify 1 into 1 4.476 * [backup-simplify]: Simplify (/ 1 1) into 1 4.476 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.476 * [taylor]: Taking taylor expansion of n in f 4.476 * [backup-simplify]: Simplify n into n 4.476 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.477 * [backup-simplify]: Simplify (+ 1 0) into 1 4.477 * [backup-simplify]: Simplify (+ 1 0) into 1 4.477 * [backup-simplify]: Simplify (/ 1 1) into 1 4.477 * [backup-simplify]: Simplify (* -1 1) into -1 4.478 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.478 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 4.478 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.478 * [taylor]: Taking taylor expansion of -1 in f 4.478 * [backup-simplify]: Simplify -1 into -1 4.478 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.478 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.478 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.478 * [taylor]: Taking taylor expansion of f in f 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify 1 into 1 4.478 * [backup-simplify]: Simplify (/ 1 1) into 1 4.478 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.478 * [taylor]: Taking taylor expansion of n in f 4.478 * [backup-simplify]: Simplify n into n 4.478 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.478 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.478 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.478 * [taylor]: Taking taylor expansion of f in f 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify 1 into 1 4.478 * [backup-simplify]: Simplify (/ 1 1) into 1 4.478 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.478 * [taylor]: Taking taylor expansion of n in f 4.478 * [backup-simplify]: Simplify n into n 4.478 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.479 * [backup-simplify]: Simplify (+ 1 0) into 1 4.479 * [backup-simplify]: Simplify (+ 1 0) into 1 4.479 * [backup-simplify]: Simplify (/ 1 1) into 1 4.479 * [backup-simplify]: Simplify (* -1 1) into -1 4.480 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.480 * [taylor]: Taking taylor expansion of (exp -1) in n 4.480 * [taylor]: Taking taylor expansion of -1 in n 4.480 * [backup-simplify]: Simplify -1 into -1 4.480 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.480 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.481 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.484 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.484 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.484 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.485 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.485 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 4.485 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 4.485 * [taylor]: Taking taylor expansion of -2 in n 4.485 * [backup-simplify]: Simplify -2 into -2 4.485 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 4.485 * [taylor]: Taking taylor expansion of (exp -1) in n 4.485 * [taylor]: Taking taylor expansion of -1 in n 4.485 * [backup-simplify]: Simplify -1 into -1 4.486 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.486 * [taylor]: Taking taylor expansion of n in n 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify 1 into 1 4.486 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 4.487 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 4.488 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 4.488 * [backup-simplify]: Simplify 0 into 0 4.489 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.489 * [backup-simplify]: Simplify 0 into 0 4.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.489 * [backup-simplify]: Simplify (+ 0 0) into 0 4.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.490 * [backup-simplify]: Simplify (- 0) into 0 4.491 * [backup-simplify]: Simplify (+ 0 0) into 0 4.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.492 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.492 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 4.492 * [taylor]: Taking taylor expansion of 0 in n 4.492 * [backup-simplify]: Simplify 0 into 0 4.492 * [backup-simplify]: Simplify 0 into 0 4.493 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.495 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 4.495 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.497 * [backup-simplify]: Simplify (+ 0 0) into 0 4.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.497 * [backup-simplify]: Simplify (- 0) into 0 4.498 * [backup-simplify]: Simplify (+ 0 0) into 0 4.499 * [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))) 4.499 * [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)))) 4.500 * [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))) 4.500 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 4.500 * [taylor]: Taking taylor expansion of 2/3 in n 4.500 * [backup-simplify]: Simplify 2/3 into 2/3 4.500 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 4.500 * [taylor]: Taking taylor expansion of (exp -1) in n 4.500 * [taylor]: Taking taylor expansion of -1 in n 4.500 * [backup-simplify]: Simplify -1 into -1 4.501 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.501 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.501 * [taylor]: Taking taylor expansion of n in n 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify 1 into 1 4.501 * [backup-simplify]: Simplify (* 1 1) into 1 4.501 * [backup-simplify]: Simplify (* 1 1) into 1 4.502 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 4.504 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.509 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 4.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.513 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.517 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 4.517 * [backup-simplify]: Simplify 0 into 0 4.517 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.518 * [backup-simplify]: Simplify (exp (/ 1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n))))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 4.518 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 4.518 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 4.518 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.518 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.518 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.518 * [taylor]: Taking taylor expansion of f in n 4.518 * [backup-simplify]: Simplify f into f 4.518 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.518 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.518 * [taylor]: Taking taylor expansion of n in n 4.518 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify 1 into 1 4.519 * [backup-simplify]: Simplify (/ 1 1) into 1 4.519 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.519 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.519 * [taylor]: Taking taylor expansion of n in n 4.519 * [backup-simplify]: Simplify 0 into 0 4.519 * [backup-simplify]: Simplify 1 into 1 4.519 * [backup-simplify]: Simplify (/ 1 1) into 1 4.519 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.519 * [taylor]: Taking taylor expansion of f in n 4.519 * [backup-simplify]: Simplify f into f 4.519 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.520 * [backup-simplify]: Simplify (+ 0 1) into 1 4.520 * [backup-simplify]: Simplify (+ 1 0) into 1 4.521 * [backup-simplify]: Simplify (/ 1 1) into 1 4.521 * [backup-simplify]: Simplify (exp 1) into E 4.521 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 4.521 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.521 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.521 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.521 * [taylor]: Taking taylor expansion of f in f 4.521 * [backup-simplify]: Simplify 0 into 0 4.521 * [backup-simplify]: Simplify 1 into 1 4.521 * [backup-simplify]: Simplify (/ 1 1) into 1 4.521 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.521 * [taylor]: Taking taylor expansion of n in f 4.521 * [backup-simplify]: Simplify n into n 4.521 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.521 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.522 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.522 * [taylor]: Taking taylor expansion of n in f 4.522 * [backup-simplify]: Simplify n into n 4.522 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.522 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.522 * [taylor]: Taking taylor expansion of f in f 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify 1 into 1 4.522 * [backup-simplify]: Simplify (/ 1 1) into 1 4.523 * [backup-simplify]: Simplify (+ 1 0) into 1 4.523 * [backup-simplify]: Simplify (- 1) into -1 4.523 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.524 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.524 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.524 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 4.524 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.524 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.524 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.524 * [taylor]: Taking taylor expansion of f in f 4.524 * [backup-simplify]: Simplify 0 into 0 4.524 * [backup-simplify]: Simplify 1 into 1 4.525 * [backup-simplify]: Simplify (/ 1 1) into 1 4.525 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.525 * [taylor]: Taking taylor expansion of n in f 4.525 * [backup-simplify]: Simplify n into n 4.525 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.525 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.525 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.525 * [taylor]: Taking taylor expansion of n in f 4.525 * [backup-simplify]: Simplify n into n 4.525 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.525 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.525 * [taylor]: Taking taylor expansion of f in f 4.525 * [backup-simplify]: Simplify 0 into 0 4.525 * [backup-simplify]: Simplify 1 into 1 4.526 * [backup-simplify]: Simplify (/ 1 1) into 1 4.526 * [backup-simplify]: Simplify (+ 1 0) into 1 4.526 * [backup-simplify]: Simplify (- 1) into -1 4.527 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.527 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.528 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.528 * [taylor]: Taking taylor expansion of (exp -1) in n 4.528 * [taylor]: Taking taylor expansion of -1 in n 4.528 * [backup-simplify]: Simplify -1 into -1 4.529 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.529 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.530 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.531 * [backup-simplify]: Simplify (- 0) into 0 4.531 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.531 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.532 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 4.532 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 4.532 * [taylor]: Taking taylor expansion of -2 in n 4.532 * [backup-simplify]: Simplify -2 into -2 4.532 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 4.532 * [taylor]: Taking taylor expansion of (exp -1) in n 4.532 * [taylor]: Taking taylor expansion of -1 in n 4.532 * [backup-simplify]: Simplify -1 into -1 4.533 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.533 * [taylor]: Taking taylor expansion of n in n 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify 1 into 1 4.534 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 4.535 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 4.537 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 4.537 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.538 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.540 * [backup-simplify]: Simplify (+ 0 0) into 0 4.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.541 * [backup-simplify]: Simplify (- 0) into 0 4.541 * [backup-simplify]: Simplify (+ 0 0) into 0 4.543 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.544 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 4.544 * [taylor]: Taking taylor expansion of 0 in n 4.544 * [backup-simplify]: Simplify 0 into 0 4.544 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.548 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 4.548 * [backup-simplify]: Simplify 0 into 0 4.550 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.550 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.552 * [backup-simplify]: Simplify (+ 0 0) into 0 4.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.554 * [backup-simplify]: Simplify (- 0) into 0 4.554 * [backup-simplify]: Simplify (+ 0 0) into 0 4.556 * [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)))) 4.558 * [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))) 4.558 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 4.558 * [taylor]: Taking taylor expansion of 2/3 in n 4.558 * [backup-simplify]: Simplify 2/3 into 2/3 4.558 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 4.558 * [taylor]: Taking taylor expansion of (exp -1) in n 4.558 * [taylor]: Taking taylor expansion of -1 in n 4.558 * [backup-simplify]: Simplify -1 into -1 4.558 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.558 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.558 * [taylor]: Taking taylor expansion of n in n 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify 1 into 1 4.559 * [backup-simplify]: Simplify (* 1 1) into 1 4.559 * [backup-simplify]: Simplify (* 1 1) into 1 4.560 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 4.562 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.567 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 4.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.572 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.576 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.576 * * * [progress]: simplifying candidates 4.601 * [simplify]: Simplifying: (- 1) (- (- (log (- f n)) (log (- (+ f n))))) (- (log (/ (- f n) (- (+ f n))))) (- 0 (- (log (- f n)) (log (- (+ f n))))) (- 0 (log (/ (- 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)) (/ (* (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)) (/ (* (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)) (/ (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)) (/ (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)) (/ 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 (+ 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)) (/ (+ (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)) (/ (+ (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)))) (/ (* 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n)))))) (sqrt (exp (/ 1 (/ (- f n) (- (+ f n)))))) (sqrt (exp (/ 1 (/ (- f n) (- (+ f n)))))) 1 -1 -1 1 -1 -1 1 -1 -1 E (exp -1) (exp -1) 4.646 * * [simplify]: Extracting # 0 : cost 0 4.648 * * [simplify]: Extracting # 1 : cost 0 4.651 * * [simplify]: Extracting # 2 : cost 0 4.653 * * [simplify]: Extracting # 3 : cost 0 4.655 * * [simplify]: Extracting # 4 : cost 0 4.658 * * [simplify]: Extracting # 5 : cost 0 4.660 * * [simplify]: Extracting # 6 : cost 0 4.662 * * [simplify]: Extracting # 7 : cost 0 4.664 * * [simplify]: Extracting # 8 : cost 0 4.667 * * [simplify]: Extracting # 9 : cost 0 4.670 * * [simplify]: iteration 0 : 666 enodes (cost 13540 ) 5.146 * * [simplify]: Extracting # 0 : cost 0 5.150 * * [simplify]: Extracting # 1 : cost 0 5.152 * * [simplify]: Extracting # 2 : cost 0 5.153 * * [simplify]: Extracting # 3 : cost 0 5.155 * * [simplify]: Extracting # 4 : cost 0 5.156 * * [simplify]: iteration 1 : 1416 enodes (cost 10583 ) 5.527 * * [simplify]: Extracting # 0 : cost 0 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n)))) (exp (/ 1 (/ (+ (sqrt f) (sqrt n)) -1))) (exp (/ 1 (/ (+ (sqrt f) (sqrt n)) (- (* (cbrt (+ f n)) (cbrt (+ f n))))))) (exp (/ 1 (/ (+ (sqrt f) (sqrt n)) (- (sqrt (+ f n)))))) (exp (/ 1 (/ (+ (sqrt f) (sqrt n)) -1))) (exp (/ 1 (/ (+ (sqrt f) (sqrt n)) -1))) (exp (/ 1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (exp (/ 1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))))) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (exp (sqrt (- (+ f n)))) E (exp -1) (exp (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (exp (- (sqrt (+ f n)))) (exp -1) (exp -1) (exp (* (cbrt (+ f n)) (cbrt (+ f n)))) (exp (sqrt (+ f n))) E E E (exp (/ 1 (- f n))) (exp (/ 1 (/ (- f n) (- (+ (pow f 3) (pow n 3)))))) (exp (/ 1 (/ (- f n) (- (- (* f f) (* n n)))))) E E (exp (/ 1 (- f n))) (* (/ 1 (- f n)) (- (+ f n))) (exp (exp (/ 1 (/ (- f n) (- (+ f n)))))) (* (cbrt (exp (/ 1 (/ (- f n) (- (+ f n)))))) (cbrt (exp (/ 1 (/ (- f n) (- (+ f n))))))) (cbrt (exp (/ 1 (/ (- f n) (- (+ f n)))))) (pow (exp (/ 1 (/ (- f n) (- (+ f n))))) 3) (sqrt (exp (/ 1 (/ (- f n) (- (+ f n)))))) (sqrt (exp (/ 1 (/ (- f n) (- (+ f n)))))) 1 -1 -1 1 -1 -1 1 -1 -1 E (exp -1) (exp -1) 5.616 * * * [progress]: adding candidates to table 7.921 * * [progress]: iteration 4 / 4 7.921 * * * [progress]: picking best candidate 7.930 * * * * [pick]: Picked # 7.930 * * * [progress]: localizing error 7.948 * * * [progress]: generating rewritten candidates 7.948 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 8.132 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1) 8.169 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.512 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 9.118 * * * [progress]: generating series expansions 9.118 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 9.119 * [backup-simplify]: Simplify (/ 1 (log (exp (/ (- f n) (- (+ f n)))))) into (* -1 (/ (+ n f) (- f n))) 9.119 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 9.119 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 9.119 * [taylor]: Taking taylor expansion of -1 in n 9.119 * [backup-simplify]: Simplify -1 into -1 9.119 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 9.119 * [taylor]: Taking taylor expansion of (+ n f) in n 9.119 * [taylor]: Taking taylor expansion of n in n 9.119 * [backup-simplify]: Simplify 0 into 0 9.119 * [backup-simplify]: Simplify 1 into 1 9.119 * [taylor]: Taking taylor expansion of f in n 9.119 * [backup-simplify]: Simplify f into f 9.119 * [taylor]: Taking taylor expansion of (- f n) in n 9.119 * [taylor]: Taking taylor expansion of f in n 9.119 * [backup-simplify]: Simplify f into f 9.119 * [taylor]: Taking taylor expansion of n in n 9.119 * [backup-simplify]: Simplify 0 into 0 9.119 * [backup-simplify]: Simplify 1 into 1 9.119 * [backup-simplify]: Simplify (+ 0 f) into f 9.120 * [backup-simplify]: Simplify (- 0) into 0 9.120 * [backup-simplify]: Simplify (+ f 0) into f 9.120 * [backup-simplify]: Simplify (/ f f) into 1 9.120 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 9.120 * [taylor]: Taking taylor expansion of -1 in f 9.120 * [backup-simplify]: Simplify -1 into -1 9.120 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 9.120 * [taylor]: Taking taylor expansion of (+ n f) in f 9.120 * [taylor]: Taking taylor expansion of n in f 9.120 * [backup-simplify]: Simplify n into n 9.120 * [taylor]: Taking taylor expansion of f in f 9.120 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify 1 into 1 9.120 * [taylor]: Taking taylor expansion of (- f n) in f 9.120 * [taylor]: Taking taylor expansion of f in f 9.120 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify 1 into 1 9.120 * [taylor]: Taking taylor expansion of n in f 9.120 * [backup-simplify]: Simplify n into n 9.120 * [backup-simplify]: Simplify (+ n 0) into n 9.120 * [backup-simplify]: Simplify (- n) into (- n) 9.120 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.120 * [backup-simplify]: Simplify (/ n (- n)) into -1 9.120 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 9.121 * [taylor]: Taking taylor expansion of -1 in f 9.121 * [backup-simplify]: Simplify -1 into -1 9.121 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 9.121 * [taylor]: Taking taylor expansion of (+ n f) in f 9.121 * [taylor]: Taking taylor expansion of n in f 9.121 * [backup-simplify]: Simplify n into n 9.121 * [taylor]: Taking taylor expansion of f in f 9.121 * [backup-simplify]: Simplify 0 into 0 9.121 * [backup-simplify]: Simplify 1 into 1 9.121 * [taylor]: Taking taylor expansion of (- f n) in f 9.121 * [taylor]: Taking taylor expansion of f in f 9.121 * [backup-simplify]: Simplify 0 into 0 9.121 * [backup-simplify]: Simplify 1 into 1 9.121 * [taylor]: Taking taylor expansion of n in f 9.121 * [backup-simplify]: Simplify n into n 9.121 * [backup-simplify]: Simplify (+ n 0) into n 9.121 * [backup-simplify]: Simplify (- n) into (- n) 9.121 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.121 * [backup-simplify]: Simplify (/ n (- n)) into -1 9.122 * [backup-simplify]: Simplify (* -1 -1) into 1 9.122 * [taylor]: Taking taylor expansion of 1 in n 9.122 * [backup-simplify]: Simplify 1 into 1 9.122 * [backup-simplify]: Simplify 1 into 1 9.122 * [backup-simplify]: Simplify (+ 0 1) into 1 9.123 * [backup-simplify]: Simplify (- 0) into 0 9.123 * [backup-simplify]: Simplify (+ 1 0) into 1 9.123 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 9.124 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 9.124 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.124 * [taylor]: Taking taylor expansion of 2 in n 9.124 * [backup-simplify]: Simplify 2 into 2 9.124 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.124 * [taylor]: Taking taylor expansion of n in n 9.124 * [backup-simplify]: Simplify 0 into 0 9.124 * [backup-simplify]: Simplify 1 into 1 9.124 * [backup-simplify]: Simplify (/ 1 1) into 1 9.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.126 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.126 * [backup-simplify]: Simplify 0 into 0 9.126 * [backup-simplify]: Simplify 0 into 0 9.126 * [backup-simplify]: Simplify (+ 0 0) into 0 9.126 * [backup-simplify]: Simplify (- 0) into 0 9.126 * [backup-simplify]: Simplify (+ 0 0) into 0 9.127 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 9.127 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 9.127 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.127 * [taylor]: Taking taylor expansion of 2 in n 9.127 * [backup-simplify]: Simplify 2 into 2 9.127 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.127 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.127 * [taylor]: Taking taylor expansion of n in n 9.127 * [backup-simplify]: Simplify 0 into 0 9.128 * [backup-simplify]: Simplify 1 into 1 9.128 * [backup-simplify]: Simplify (* 1 1) into 1 9.128 * [backup-simplify]: Simplify (/ 1 1) into 1 9.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.131 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.131 * [backup-simplify]: Simplify 0 into 0 9.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.132 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify (+ 0 0) into 0 9.132 * [backup-simplify]: Simplify (- 0) into 0 9.132 * [backup-simplify]: Simplify (+ 0 0) into 0 9.133 * [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)))) 9.133 * [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))) 9.134 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.134 * [taylor]: Taking taylor expansion of 2 in n 9.134 * [backup-simplify]: Simplify 2 into 2 9.134 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.134 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.134 * [taylor]: Taking taylor expansion of n in n 9.134 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify 1 into 1 9.134 * [backup-simplify]: Simplify (* 1 1) into 1 9.134 * [backup-simplify]: Simplify (* 1 1) into 1 9.134 * [backup-simplify]: Simplify (/ 1 1) into 1 9.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.139 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.139 * [backup-simplify]: Simplify 0 into 0 9.139 * [backup-simplify]: Simplify 1 into 1 9.140 * [backup-simplify]: Simplify (/ 1 (log (exp (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n))))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 9.140 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 9.140 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 9.140 * [taylor]: Taking taylor expansion of -1 in n 9.140 * [backup-simplify]: Simplify -1 into -1 9.140 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 9.140 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.140 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.140 * [taylor]: Taking taylor expansion of f in n 9.140 * [backup-simplify]: Simplify f into f 9.140 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.140 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.140 * [taylor]: Taking taylor expansion of n in n 9.140 * [backup-simplify]: Simplify 0 into 0 9.140 * [backup-simplify]: Simplify 1 into 1 9.140 * [backup-simplify]: Simplify (/ 1 1) into 1 9.140 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 9.140 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.140 * [taylor]: Taking taylor expansion of f in n 9.140 * [backup-simplify]: Simplify f into f 9.140 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.140 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.140 * [taylor]: Taking taylor expansion of n in n 9.141 * [backup-simplify]: Simplify 0 into 0 9.141 * [backup-simplify]: Simplify 1 into 1 9.141 * [backup-simplify]: Simplify (/ 1 1) into 1 9.141 * [backup-simplify]: Simplify (+ 0 1) into 1 9.141 * [backup-simplify]: Simplify (- 1) into -1 9.142 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.142 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.142 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 9.142 * [taylor]: Taking taylor expansion of -1 in f 9.142 * [backup-simplify]: Simplify -1 into -1 9.142 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 9.142 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.142 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.142 * [taylor]: Taking taylor expansion of f in f 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify 1 into 1 9.142 * [backup-simplify]: Simplify (/ 1 1) into 1 9.142 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.142 * [taylor]: Taking taylor expansion of n in f 9.142 * [backup-simplify]: Simplify n into n 9.142 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.142 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.142 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.142 * [taylor]: Taking taylor expansion of f in f 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify 1 into 1 9.143 * [backup-simplify]: Simplify (/ 1 1) into 1 9.143 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.143 * [taylor]: Taking taylor expansion of n in f 9.143 * [backup-simplify]: Simplify n into n 9.143 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.143 * [backup-simplify]: Simplify (+ 1 0) into 1 9.143 * [backup-simplify]: Simplify (+ 1 0) into 1 9.143 * [backup-simplify]: Simplify (/ 1 1) into 1 9.144 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 9.144 * [taylor]: Taking taylor expansion of -1 in f 9.144 * [backup-simplify]: Simplify -1 into -1 9.144 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 9.144 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.144 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.144 * [taylor]: Taking taylor expansion of f in f 9.144 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify 1 into 1 9.144 * [backup-simplify]: Simplify (/ 1 1) into 1 9.144 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.144 * [taylor]: Taking taylor expansion of n in f 9.144 * [backup-simplify]: Simplify n into n 9.144 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.144 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.144 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.144 * [taylor]: Taking taylor expansion of f in f 9.144 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify 1 into 1 9.144 * [backup-simplify]: Simplify (/ 1 1) into 1 9.144 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.144 * [taylor]: Taking taylor expansion of n in f 9.144 * [backup-simplify]: Simplify n into n 9.144 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.145 * [backup-simplify]: Simplify (+ 1 0) into 1 9.145 * [backup-simplify]: Simplify (+ 1 0) into 1 9.145 * [backup-simplify]: Simplify (/ 1 1) into 1 9.146 * [backup-simplify]: Simplify (* -1 1) into -1 9.146 * [taylor]: Taking taylor expansion of -1 in n 9.146 * [backup-simplify]: Simplify -1 into -1 9.146 * [backup-simplify]: Simplify -1 into -1 9.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.146 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.147 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 9.147 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 9.147 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 9.147 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 9.147 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.147 * [taylor]: Taking taylor expansion of 2 in n 9.147 * [backup-simplify]: Simplify 2 into 2 9.147 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.147 * [taylor]: Taking taylor expansion of n in n 9.147 * [backup-simplify]: Simplify 0 into 0 9.147 * [backup-simplify]: Simplify 1 into 1 9.148 * [backup-simplify]: Simplify (/ 1 1) into 1 9.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.149 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.149 * [backup-simplify]: Simplify (- 0) into 0 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.150 * [backup-simplify]: Simplify (+ 0 0) into 0 9.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.151 * [backup-simplify]: Simplify (- 0) into 0 9.151 * [backup-simplify]: Simplify (+ 0 0) into 0 9.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 9.152 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 9.152 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 9.152 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.152 * [taylor]: Taking taylor expansion of 2 in n 9.152 * [backup-simplify]: Simplify 2 into 2 9.152 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.152 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.152 * [taylor]: Taking taylor expansion of n in n 9.152 * [backup-simplify]: Simplify 0 into 0 9.152 * [backup-simplify]: Simplify 1 into 1 9.152 * [backup-simplify]: Simplify (* 1 1) into 1 9.153 * [backup-simplify]: Simplify (/ 1 1) into 1 9.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.155 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.155 * [backup-simplify]: Simplify (- 0) into 0 9.155 * [backup-simplify]: Simplify 0 into 0 9.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.156 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.157 * [backup-simplify]: Simplify (- 0) into 0 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.158 * [backup-simplify]: Simplify (+ 0 0) into 0 9.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.159 * [backup-simplify]: Simplify (- 0) into 0 9.159 * [backup-simplify]: Simplify (+ 0 0) into 0 9.160 * [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))) 9.160 * [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)))) 9.160 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.161 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.161 * [taylor]: Taking taylor expansion of 2 in n 9.161 * [backup-simplify]: Simplify 2 into 2 9.161 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.161 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.161 * [taylor]: Taking taylor expansion of n in n 9.161 * [backup-simplify]: Simplify 0 into 0 9.161 * [backup-simplify]: Simplify 1 into 1 9.161 * [backup-simplify]: Simplify (* 1 1) into 1 9.161 * [backup-simplify]: Simplify (* 1 1) into 1 9.161 * [backup-simplify]: Simplify (/ 1 1) into 1 9.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.173 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.173 * [backup-simplify]: Simplify (- 0) into 0 9.173 * [backup-simplify]: Simplify 0 into 0 9.173 * [backup-simplify]: Simplify -1 into -1 9.174 * [backup-simplify]: Simplify (/ 1 (log (exp (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n)))))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 9.174 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 9.174 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 9.174 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.174 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.174 * [taylor]: Taking taylor expansion of f in n 9.174 * [backup-simplify]: Simplify f into f 9.174 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.174 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.174 * [taylor]: Taking taylor expansion of n in n 9.174 * [backup-simplify]: Simplify 0 into 0 9.174 * [backup-simplify]: Simplify 1 into 1 9.174 * [backup-simplify]: Simplify (/ 1 1) into 1 9.174 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 9.174 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.174 * [taylor]: Taking taylor expansion of n in n 9.174 * [backup-simplify]: Simplify 0 into 0 9.174 * [backup-simplify]: Simplify 1 into 1 9.175 * [backup-simplify]: Simplify (/ 1 1) into 1 9.175 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.175 * [taylor]: Taking taylor expansion of f in n 9.175 * [backup-simplify]: Simplify f into f 9.175 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.175 * [backup-simplify]: Simplify (+ 0 1) into 1 9.176 * [backup-simplify]: Simplify (+ 1 0) into 1 9.176 * [backup-simplify]: Simplify (/ 1 1) into 1 9.176 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 9.176 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.176 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.176 * [taylor]: Taking taylor expansion of f in f 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify 1 into 1 9.176 * [backup-simplify]: Simplify (/ 1 1) into 1 9.176 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.176 * [taylor]: Taking taylor expansion of n in f 9.176 * [backup-simplify]: Simplify n into n 9.176 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.176 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.176 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.176 * [taylor]: Taking taylor expansion of n in f 9.176 * [backup-simplify]: Simplify n into n 9.176 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.176 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.176 * [taylor]: Taking taylor expansion of f in f 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify 1 into 1 9.177 * [backup-simplify]: Simplify (/ 1 1) into 1 9.177 * [backup-simplify]: Simplify (+ 1 0) into 1 9.177 * [backup-simplify]: Simplify (- 1) into -1 9.177 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.178 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.178 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 9.178 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.178 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.178 * [taylor]: Taking taylor expansion of f in f 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify 1 into 1 9.178 * [backup-simplify]: Simplify (/ 1 1) into 1 9.178 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.178 * [taylor]: Taking taylor expansion of n in f 9.178 * [backup-simplify]: Simplify n into n 9.178 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.178 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.178 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.178 * [taylor]: Taking taylor expansion of n in f 9.178 * [backup-simplify]: Simplify n into n 9.178 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.178 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.178 * [taylor]: Taking taylor expansion of f in f 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify 1 into 1 9.178 * [backup-simplify]: Simplify (/ 1 1) into 1 9.179 * [backup-simplify]: Simplify (+ 1 0) into 1 9.179 * [backup-simplify]: Simplify (- 1) into -1 9.179 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.179 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.180 * [taylor]: Taking taylor expansion of -1 in n 9.180 * [backup-simplify]: Simplify -1 into -1 9.180 * [backup-simplify]: Simplify -1 into -1 9.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.180 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.181 * [backup-simplify]: Simplify (- 0) into 0 9.181 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 9.181 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 9.181 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.181 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.181 * [taylor]: Taking taylor expansion of 2 in n 9.181 * [backup-simplify]: Simplify 2 into 2 9.181 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.181 * [taylor]: Taking taylor expansion of n in n 9.181 * [backup-simplify]: Simplify 0 into 0 9.181 * [backup-simplify]: Simplify 1 into 1 9.181 * [backup-simplify]: Simplify (/ 1 1) into 1 9.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.182 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.183 * [backup-simplify]: Simplify (- 0) into 0 9.183 * [backup-simplify]: Simplify 0 into 0 9.183 * [backup-simplify]: Simplify 0 into 0 9.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.184 * [backup-simplify]: Simplify (+ 0 0) into 0 9.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.185 * [backup-simplify]: Simplify (- 0) into 0 9.185 * [backup-simplify]: Simplify (+ 0 0) into 0 9.186 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 9.186 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 9.186 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.186 * [taylor]: Taking taylor expansion of 2 in n 9.186 * [backup-simplify]: Simplify 2 into 2 9.186 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.186 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.186 * [taylor]: Taking taylor expansion of n in n 9.186 * [backup-simplify]: Simplify 0 into 0 9.186 * [backup-simplify]: Simplify 1 into 1 9.186 * [backup-simplify]: Simplify (* 1 1) into 1 9.186 * [backup-simplify]: Simplify (/ 1 1) into 1 9.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.189 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.189 * [backup-simplify]: Simplify (- 0) into 0 9.189 * [backup-simplify]: Simplify 0 into 0 9.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.190 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.190 * [backup-simplify]: Simplify (- 0) into 0 9.190 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify 0 into 0 9.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.191 * [backup-simplify]: Simplify (+ 0 0) into 0 9.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.192 * [backup-simplify]: Simplify (- 0) into 0 9.192 * [backup-simplify]: Simplify (+ 0 0) into 0 9.193 * [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)))) 9.193 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.193 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.193 * [taylor]: Taking taylor expansion of 2 in n 9.193 * [backup-simplify]: Simplify 2 into 2 9.193 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.193 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.193 * [taylor]: Taking taylor expansion of n in n 9.193 * [backup-simplify]: Simplify 0 into 0 9.193 * [backup-simplify]: Simplify 1 into 1 9.194 * [backup-simplify]: Simplify (* 1 1) into 1 9.194 * [backup-simplify]: Simplify (* 1 1) into 1 9.194 * [backup-simplify]: Simplify (/ 1 1) into 1 9.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.199 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.199 * [backup-simplify]: Simplify (- 0) into 0 9.199 * [backup-simplify]: Simplify 0 into 0 9.199 * [backup-simplify]: Simplify -1 into -1 9.199 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1) 9.200 * [backup-simplify]: Simplify (/ (- f n) (- (+ f n))) into (* -1 (/ (- f n) (+ n f))) 9.200 * [approximate]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in (f n) around 0 9.200 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in n 9.200 * [taylor]: Taking taylor expansion of -1 in n 9.200 * [backup-simplify]: Simplify -1 into -1 9.200 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 9.200 * [taylor]: Taking taylor expansion of (- f n) in n 9.200 * [taylor]: Taking taylor expansion of f in n 9.200 * [backup-simplify]: Simplify f into f 9.200 * [taylor]: Taking taylor expansion of n in n 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.200 * [taylor]: Taking taylor expansion of (+ n f) in n 9.200 * [taylor]: Taking taylor expansion of n in n 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.200 * [taylor]: Taking taylor expansion of f in n 9.200 * [backup-simplify]: Simplify f into f 9.200 * [backup-simplify]: Simplify (- 0) into 0 9.200 * [backup-simplify]: Simplify (+ f 0) into f 9.200 * [backup-simplify]: Simplify (+ 0 f) into f 9.200 * [backup-simplify]: Simplify (/ f f) into 1 9.200 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 9.200 * [taylor]: Taking taylor expansion of -1 in f 9.200 * [backup-simplify]: Simplify -1 into -1 9.200 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 9.200 * [taylor]: Taking taylor expansion of (- f n) in f 9.200 * [taylor]: Taking taylor expansion of f in f 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.200 * [taylor]: Taking taylor expansion of n in f 9.200 * [backup-simplify]: Simplify n into n 9.200 * [taylor]: Taking taylor expansion of (+ n f) in f 9.200 * [taylor]: Taking taylor expansion of n in f 9.200 * [backup-simplify]: Simplify n into n 9.200 * [taylor]: Taking taylor expansion of f in f 9.200 * [backup-simplify]: Simplify 0 into 0 9.201 * [backup-simplify]: Simplify 1 into 1 9.201 * [backup-simplify]: Simplify (- n) into (- n) 9.201 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.201 * [backup-simplify]: Simplify (+ n 0) into n 9.201 * [backup-simplify]: Simplify (/ (- n) n) into -1 9.201 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 9.201 * [taylor]: Taking taylor expansion of -1 in f 9.201 * [backup-simplify]: Simplify -1 into -1 9.201 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 9.201 * [taylor]: Taking taylor expansion of (- f n) in f 9.201 * [taylor]: Taking taylor expansion of f in f 9.201 * [backup-simplify]: Simplify 0 into 0 9.201 * [backup-simplify]: Simplify 1 into 1 9.201 * [taylor]: Taking taylor expansion of n in f 9.201 * [backup-simplify]: Simplify n into n 9.201 * [taylor]: Taking taylor expansion of (+ n f) in f 9.201 * [taylor]: Taking taylor expansion of n in f 9.201 * [backup-simplify]: Simplify n into n 9.201 * [taylor]: Taking taylor expansion of f in f 9.201 * [backup-simplify]: Simplify 0 into 0 9.201 * [backup-simplify]: Simplify 1 into 1 9.201 * [backup-simplify]: Simplify (- n) into (- n) 9.201 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.201 * [backup-simplify]: Simplify (+ n 0) into n 9.201 * [backup-simplify]: Simplify (/ (- n) n) into -1 9.201 * [backup-simplify]: Simplify (* -1 -1) into 1 9.201 * [taylor]: Taking taylor expansion of 1 in n 9.201 * [backup-simplify]: Simplify 1 into 1 9.201 * [backup-simplify]: Simplify 1 into 1 9.202 * [backup-simplify]: Simplify (- 0) into 0 9.202 * [backup-simplify]: Simplify (+ 1 0) into 1 9.202 * [backup-simplify]: Simplify (+ 0 1) into 1 9.202 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 9.203 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 9.203 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.203 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.203 * [taylor]: Taking taylor expansion of 2 in n 9.203 * [backup-simplify]: Simplify 2 into 2 9.203 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.203 * [taylor]: Taking taylor expansion of n in n 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify 1 into 1 9.203 * [backup-simplify]: Simplify (/ 1 1) into 1 9.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.204 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.204 * [backup-simplify]: Simplify (- 0) into 0 9.204 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify (- 0) into 0 9.205 * [backup-simplify]: Simplify (+ 0 0) into 0 9.205 * [backup-simplify]: Simplify (+ 0 0) into 0 9.205 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 9.206 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 9.206 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.206 * [taylor]: Taking taylor expansion of 2 in n 9.206 * [backup-simplify]: Simplify 2 into 2 9.206 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.206 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.206 * [taylor]: Taking taylor expansion of n in n 9.206 * [backup-simplify]: Simplify 0 into 0 9.206 * [backup-simplify]: Simplify 1 into 1 9.206 * [backup-simplify]: Simplify (* 1 1) into 1 9.206 * [backup-simplify]: Simplify (/ 1 1) into 1 9.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.208 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.209 * [backup-simplify]: Simplify 0 into 0 9.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.210 * [backup-simplify]: Simplify (- 0) into 0 9.210 * [backup-simplify]: Simplify 0 into 0 9.210 * [backup-simplify]: Simplify 0 into 0 9.210 * [backup-simplify]: Simplify (- 0) into 0 9.210 * [backup-simplify]: Simplify (+ 0 0) into 0 9.211 * [backup-simplify]: Simplify (+ 0 0) into 0 9.211 * [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))) 9.212 * [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)))) 9.212 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.212 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.212 * [taylor]: Taking taylor expansion of 2 in n 9.212 * [backup-simplify]: Simplify 2 into 2 9.212 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.212 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.212 * [taylor]: Taking taylor expansion of n in n 9.212 * [backup-simplify]: Simplify 0 into 0 9.212 * [backup-simplify]: Simplify 1 into 1 9.212 * [backup-simplify]: Simplify (* 1 1) into 1 9.212 * [backup-simplify]: Simplify (* 1 1) into 1 9.213 * [backup-simplify]: Simplify (/ 1 1) into 1 9.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.218 * [backup-simplify]: Simplify (- 0) into 0 9.218 * [backup-simplify]: Simplify 0 into 0 9.218 * [backup-simplify]: Simplify 1 into 1 9.218 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 9.218 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 9.218 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 9.218 * [taylor]: Taking taylor expansion of -1 in n 9.218 * [backup-simplify]: Simplify -1 into -1 9.218 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 9.218 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 9.218 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.218 * [taylor]: Taking taylor expansion of f in n 9.218 * [backup-simplify]: Simplify f into f 9.218 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.218 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.218 * [taylor]: Taking taylor expansion of n in n 9.219 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify 1 into 1 9.219 * [backup-simplify]: Simplify (/ 1 1) into 1 9.219 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.219 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.219 * [taylor]: Taking taylor expansion of f in n 9.219 * [backup-simplify]: Simplify f into f 9.219 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.219 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.219 * [taylor]: Taking taylor expansion of n in n 9.219 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify 1 into 1 9.219 * [backup-simplify]: Simplify (/ 1 1) into 1 9.219 * [backup-simplify]: Simplify (- 1) into -1 9.220 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.220 * [backup-simplify]: Simplify (+ 0 1) into 1 9.220 * [backup-simplify]: Simplify (/ -1 1) into -1 9.220 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 9.220 * [taylor]: Taking taylor expansion of -1 in f 9.220 * [backup-simplify]: Simplify -1 into -1 9.220 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 9.220 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.220 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.220 * [taylor]: Taking taylor expansion of f in f 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify 1 into 1 9.221 * [backup-simplify]: Simplify (/ 1 1) into 1 9.221 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.221 * [taylor]: Taking taylor expansion of n in f 9.221 * [backup-simplify]: Simplify n into n 9.221 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.221 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.221 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.221 * [taylor]: Taking taylor expansion of f in f 9.221 * [backup-simplify]: Simplify 0 into 0 9.221 * [backup-simplify]: Simplify 1 into 1 9.221 * [backup-simplify]: Simplify (/ 1 1) into 1 9.221 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.221 * [taylor]: Taking taylor expansion of n in f 9.221 * [backup-simplify]: Simplify n into n 9.221 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.221 * [backup-simplify]: Simplify (+ 1 0) into 1 9.222 * [backup-simplify]: Simplify (+ 1 0) into 1 9.222 * [backup-simplify]: Simplify (/ 1 1) into 1 9.222 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 9.222 * [taylor]: Taking taylor expansion of -1 in f 9.222 * [backup-simplify]: Simplify -1 into -1 9.222 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 9.222 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.222 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.222 * [taylor]: Taking taylor expansion of f in f 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 1 into 1 9.222 * [backup-simplify]: Simplify (/ 1 1) into 1 9.222 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.222 * [taylor]: Taking taylor expansion of n in f 9.222 * [backup-simplify]: Simplify n into n 9.222 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.222 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.222 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.222 * [taylor]: Taking taylor expansion of f in f 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 1 into 1 9.223 * [backup-simplify]: Simplify (/ 1 1) into 1 9.223 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.223 * [taylor]: Taking taylor expansion of n in f 9.223 * [backup-simplify]: Simplify n into n 9.223 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.223 * [backup-simplify]: Simplify (+ 1 0) into 1 9.223 * [backup-simplify]: Simplify (+ 1 0) into 1 9.224 * [backup-simplify]: Simplify (/ 1 1) into 1 9.224 * [backup-simplify]: Simplify (* -1 1) into -1 9.224 * [taylor]: Taking taylor expansion of -1 in n 9.224 * [backup-simplify]: Simplify -1 into -1 9.224 * [backup-simplify]: Simplify -1 into -1 9.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.224 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 9.224 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 9.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.225 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.225 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 9.226 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 1)) into (* 2 (/ 1 n)) 9.226 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.226 * [taylor]: Taking taylor expansion of 2 in n 9.226 * [backup-simplify]: Simplify 2 into 2 9.226 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.226 * [taylor]: Taking taylor expansion of n in n 9.226 * [backup-simplify]: Simplify 0 into 0 9.226 * [backup-simplify]: Simplify 1 into 1 9.226 * [backup-simplify]: Simplify (/ 1 1) into 1 9.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.227 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.227 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.228 * [backup-simplify]: Simplify (- 0) into 0 9.228 * [backup-simplify]: Simplify (+ 0 0) into 0 9.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.229 * [backup-simplify]: Simplify (+ 0 0) into 0 9.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 9.230 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 9.230 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 9.230 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.230 * [taylor]: Taking taylor expansion of 2 in n 9.230 * [backup-simplify]: Simplify 2 into 2 9.230 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.230 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.230 * [taylor]: Taking taylor expansion of n in n 9.230 * [backup-simplify]: Simplify 0 into 0 9.230 * [backup-simplify]: Simplify 1 into 1 9.230 * [backup-simplify]: Simplify (* 1 1) into 1 9.231 * [backup-simplify]: Simplify (/ 1 1) into 1 9.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.233 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.233 * [backup-simplify]: Simplify (- 0) into 0 9.233 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.235 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify 0 into 0 9.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.237 * [backup-simplify]: Simplify (- 0) into 0 9.237 * [backup-simplify]: Simplify (+ 0 0) into 0 9.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.239 * [backup-simplify]: Simplify (+ 0 0) into 0 9.241 * [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)))) 9.242 * [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))) 9.242 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.242 * [taylor]: Taking taylor expansion of 2 in n 9.242 * [backup-simplify]: Simplify 2 into 2 9.242 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.242 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.242 * [taylor]: Taking taylor expansion of n in n 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify 1 into 1 9.243 * [backup-simplify]: Simplify (* 1 1) into 1 9.243 * [backup-simplify]: Simplify (* 1 1) into 1 9.243 * [backup-simplify]: Simplify (/ 1 1) into 1 9.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.251 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.251 * [backup-simplify]: Simplify 0 into 0 9.251 * [backup-simplify]: Simplify -1 into -1 9.251 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 9.251 * [approximate]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 9.251 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 9.251 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 9.251 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.251 * [taylor]: Taking taylor expansion of n in n 9.251 * [backup-simplify]: Simplify 0 into 0 9.251 * [backup-simplify]: Simplify 1 into 1 9.252 * [backup-simplify]: Simplify (/ 1 1) into 1 9.252 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.252 * [taylor]: Taking taylor expansion of f in n 9.252 * [backup-simplify]: Simplify f into f 9.252 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.252 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.252 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.252 * [taylor]: Taking taylor expansion of f in n 9.252 * [backup-simplify]: Simplify f into f 9.252 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.252 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.252 * [taylor]: Taking taylor expansion of n in n 9.252 * [backup-simplify]: Simplify 0 into 0 9.252 * [backup-simplify]: Simplify 1 into 1 9.252 * [backup-simplify]: Simplify (/ 1 1) into 1 9.252 * [backup-simplify]: Simplify (+ 1 0) into 1 9.253 * [backup-simplify]: Simplify (+ 0 1) into 1 9.253 * [backup-simplify]: Simplify (/ 1 1) into 1 9.253 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 9.253 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.253 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.253 * [taylor]: Taking taylor expansion of n in f 9.253 * [backup-simplify]: Simplify n into n 9.253 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.253 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.253 * [taylor]: Taking taylor expansion of f in f 9.253 * [backup-simplify]: Simplify 0 into 0 9.253 * [backup-simplify]: Simplify 1 into 1 9.253 * [backup-simplify]: Simplify (/ 1 1) into 1 9.253 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.253 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.253 * [taylor]: Taking taylor expansion of f in f 9.253 * [backup-simplify]: Simplify 0 into 0 9.253 * [backup-simplify]: Simplify 1 into 1 9.254 * [backup-simplify]: Simplify (/ 1 1) into 1 9.254 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.254 * [taylor]: Taking taylor expansion of n in f 9.254 * [backup-simplify]: Simplify n into n 9.254 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.254 * [backup-simplify]: Simplify (- 1) into -1 9.254 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.254 * [backup-simplify]: Simplify (+ 1 0) into 1 9.255 * [backup-simplify]: Simplify (/ -1 1) into -1 9.255 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 9.255 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.255 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.255 * [taylor]: Taking taylor expansion of n in f 9.255 * [backup-simplify]: Simplify n into n 9.255 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.255 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.255 * [taylor]: Taking taylor expansion of f in f 9.255 * [backup-simplify]: Simplify 0 into 0 9.255 * [backup-simplify]: Simplify 1 into 1 9.255 * [backup-simplify]: Simplify (/ 1 1) into 1 9.255 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.255 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.255 * [taylor]: Taking taylor expansion of f in f 9.255 * [backup-simplify]: Simplify 0 into 0 9.255 * [backup-simplify]: Simplify 1 into 1 9.256 * [backup-simplify]: Simplify (/ 1 1) into 1 9.256 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.256 * [taylor]: Taking taylor expansion of n in f 9.256 * [backup-simplify]: Simplify n into n 9.256 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.256 * [backup-simplify]: Simplify (- 1) into -1 9.256 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.256 * [backup-simplify]: Simplify (+ 1 0) into 1 9.257 * [backup-simplify]: Simplify (/ -1 1) into -1 9.257 * [taylor]: Taking taylor expansion of -1 in n 9.257 * [backup-simplify]: Simplify -1 into -1 9.257 * [backup-simplify]: Simplify -1 into -1 9.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.258 * [backup-simplify]: Simplify (- 0) into 0 9.258 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 9.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.258 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.258 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 9.258 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.258 * [taylor]: Taking taylor expansion of 2 in n 9.258 * [backup-simplify]: Simplify 2 into 2 9.258 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.258 * [taylor]: Taking taylor expansion of n in n 9.258 * [backup-simplify]: Simplify 0 into 0 9.258 * [backup-simplify]: Simplify 1 into 1 9.259 * [backup-simplify]: Simplify (/ 1 1) into 1 9.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.259 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.259 * [backup-simplify]: Simplify 0 into 0 9.259 * [backup-simplify]: Simplify 0 into 0 9.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.260 * [backup-simplify]: Simplify (- 0) into 0 9.261 * [backup-simplify]: Simplify (+ 0 0) into 0 9.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.262 * [backup-simplify]: Simplify (+ 0 0) into 0 9.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 9.263 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 9.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.263 * [taylor]: Taking taylor expansion of 2 in n 9.263 * [backup-simplify]: Simplify 2 into 2 9.263 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.263 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.263 * [taylor]: Taking taylor expansion of n in n 9.263 * [backup-simplify]: Simplify 0 into 0 9.263 * [backup-simplify]: Simplify 1 into 1 9.263 * [backup-simplify]: Simplify (* 1 1) into 1 9.264 * [backup-simplify]: Simplify (/ 1 1) into 1 9.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.267 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.268 * [backup-simplify]: Simplify (- 0) into 0 9.268 * [backup-simplify]: Simplify 0 into 0 9.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.269 * [backup-simplify]: Simplify 0 into 0 9.269 * [backup-simplify]: Simplify 0 into 0 9.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.270 * [backup-simplify]: Simplify (- 0) into 0 9.270 * [backup-simplify]: Simplify (+ 0 0) into 0 9.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.274 * [backup-simplify]: Simplify (+ 0 0) into 0 9.277 * [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))) 9.277 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.277 * [taylor]: Taking taylor expansion of 2 in n 9.277 * [backup-simplify]: Simplify 2 into 2 9.277 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.277 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.277 * [taylor]: Taking taylor expansion of n in n 9.277 * [backup-simplify]: Simplify 0 into 0 9.277 * [backup-simplify]: Simplify 1 into 1 9.277 * [backup-simplify]: Simplify (* 1 1) into 1 9.278 * [backup-simplify]: Simplify (* 1 1) into 1 9.278 * [backup-simplify]: Simplify (/ 1 1) into 1 9.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.283 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.283 * [backup-simplify]: Simplify 0 into 0 9.283 * [backup-simplify]: Simplify -1 into -1 9.283 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 9.284 * [backup-simplify]: Simplify (exp (/ 1 (log (exp (/ (- f n) (- (+ f n))))))) into (exp (* -1 (/ (+ n f) (- f n)))) 9.284 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 9.284 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 9.284 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 9.284 * [taylor]: Taking taylor expansion of -1 in n 9.284 * [backup-simplify]: Simplify -1 into -1 9.284 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 9.284 * [taylor]: Taking taylor expansion of (+ n f) in n 9.284 * [taylor]: Taking taylor expansion of n in n 9.284 * [backup-simplify]: Simplify 0 into 0 9.284 * [backup-simplify]: Simplify 1 into 1 9.284 * [taylor]: Taking taylor expansion of f in n 9.284 * [backup-simplify]: Simplify f into f 9.284 * [taylor]: Taking taylor expansion of (- f n) in n 9.284 * [taylor]: Taking taylor expansion of f in n 9.284 * [backup-simplify]: Simplify f into f 9.284 * [taylor]: Taking taylor expansion of n in n 9.284 * [backup-simplify]: Simplify 0 into 0 9.284 * [backup-simplify]: Simplify 1 into 1 9.284 * [backup-simplify]: Simplify (+ 0 f) into f 9.284 * [backup-simplify]: Simplify (- 0) into 0 9.284 * [backup-simplify]: Simplify (+ f 0) into f 9.284 * [backup-simplify]: Simplify (/ f f) into 1 9.285 * [backup-simplify]: Simplify (* -1 1) into -1 9.285 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.285 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 9.285 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 9.285 * [taylor]: Taking taylor expansion of -1 in f 9.285 * [backup-simplify]: Simplify -1 into -1 9.285 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 9.285 * [taylor]: Taking taylor expansion of (+ n f) in f 9.285 * [taylor]: Taking taylor expansion of n in f 9.285 * [backup-simplify]: Simplify n into n 9.285 * [taylor]: Taking taylor expansion of f in f 9.285 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify 1 into 1 9.285 * [taylor]: Taking taylor expansion of (- f n) in f 9.285 * [taylor]: Taking taylor expansion of f in f 9.285 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify 1 into 1 9.285 * [taylor]: Taking taylor expansion of n in f 9.285 * [backup-simplify]: Simplify n into n 9.285 * [backup-simplify]: Simplify (+ n 0) into n 9.285 * [backup-simplify]: Simplify (- n) into (- n) 9.285 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.285 * [backup-simplify]: Simplify (/ n (- n)) into -1 9.286 * [backup-simplify]: Simplify (* -1 -1) into 1 9.286 * [backup-simplify]: Simplify (exp 1) into E 9.286 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 9.286 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 9.286 * [taylor]: Taking taylor expansion of -1 in f 9.286 * [backup-simplify]: Simplify -1 into -1 9.286 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 9.286 * [taylor]: Taking taylor expansion of (+ n f) in f 9.286 * [taylor]: Taking taylor expansion of n in f 9.286 * [backup-simplify]: Simplify n into n 9.286 * [taylor]: Taking taylor expansion of f in f 9.286 * [backup-simplify]: Simplify 0 into 0 9.286 * [backup-simplify]: Simplify 1 into 1 9.286 * [taylor]: Taking taylor expansion of (- f n) in f 9.286 * [taylor]: Taking taylor expansion of f in f 9.286 * [backup-simplify]: Simplify 0 into 0 9.286 * [backup-simplify]: Simplify 1 into 1 9.286 * [taylor]: Taking taylor expansion of n in f 9.286 * [backup-simplify]: Simplify n into n 9.286 * [backup-simplify]: Simplify (+ n 0) into n 9.286 * [backup-simplify]: Simplify (- n) into (- n) 9.286 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.286 * [backup-simplify]: Simplify (/ n (- n)) into -1 9.286 * [backup-simplify]: Simplify (* -1 -1) into 1 9.286 * [backup-simplify]: Simplify (exp 1) into E 9.286 * [taylor]: Taking taylor expansion of E in n 9.286 * [backup-simplify]: Simplify E into E 9.286 * [backup-simplify]: Simplify E into E 9.287 * [backup-simplify]: Simplify (+ 0 1) into 1 9.287 * [backup-simplify]: Simplify (- 0) into 0 9.287 * [backup-simplify]: Simplify (+ 1 0) into 1 9.287 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 9.288 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 9.288 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 9.288 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 9.288 * [taylor]: Taking taylor expansion of 2 in n 9.288 * [backup-simplify]: Simplify 2 into 2 9.288 * [taylor]: Taking taylor expansion of (/ E n) in n 9.288 * [taylor]: Taking taylor expansion of E in n 9.288 * [backup-simplify]: Simplify E into E 9.288 * [taylor]: Taking taylor expansion of n in n 9.288 * [backup-simplify]: Simplify 0 into 0 9.288 * [backup-simplify]: Simplify 1 into 1 9.288 * [backup-simplify]: Simplify (/ E 1) into E 9.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 9.289 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 9.289 * [backup-simplify]: Simplify 0 into 0 9.289 * [backup-simplify]: Simplify 0 into 0 9.290 * [backup-simplify]: Simplify (+ 0 0) into 0 9.290 * [backup-simplify]: Simplify (- 0) into 0 9.290 * [backup-simplify]: Simplify (+ 0 0) into 0 9.290 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 9.291 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 9.291 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 9.291 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 9.291 * [taylor]: Taking taylor expansion of 4 in n 9.291 * [backup-simplify]: Simplify 4 into 4 9.291 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 9.291 * [taylor]: Taking taylor expansion of E in n 9.291 * [backup-simplify]: Simplify E into E 9.291 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.291 * [taylor]: Taking taylor expansion of n in n 9.291 * [backup-simplify]: Simplify 0 into 0 9.291 * [backup-simplify]: Simplify 1 into 1 9.292 * [backup-simplify]: Simplify (* 1 1) into 1 9.292 * [backup-simplify]: Simplify (/ E 1) into E 9.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 9.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.295 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 9.295 * [backup-simplify]: Simplify 0 into 0 9.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.296 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 9.296 * [backup-simplify]: Simplify 0 into 0 9.296 * [backup-simplify]: Simplify 0 into 0 9.296 * [backup-simplify]: Simplify (+ 0 0) into 0 9.296 * [backup-simplify]: Simplify (- 0) into 0 9.297 * [backup-simplify]: Simplify (+ 0 0) into 0 9.297 * [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)))) 9.298 * [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))) 9.299 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 9.299 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 9.299 * [taylor]: Taking taylor expansion of 22/3 in n 9.299 * [backup-simplify]: Simplify 22/3 into 22/3 9.299 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 9.300 * [taylor]: Taking taylor expansion of E in n 9.300 * [backup-simplify]: Simplify E into E 9.300 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.300 * [taylor]: Taking taylor expansion of n in n 9.300 * [backup-simplify]: Simplify 0 into 0 9.300 * [backup-simplify]: Simplify 1 into 1 9.300 * [backup-simplify]: Simplify (* 1 1) into 1 9.300 * [backup-simplify]: Simplify (* 1 1) into 1 9.301 * [backup-simplify]: Simplify (/ E 1) into E 9.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 9.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.311 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify E into E 9.311 * [backup-simplify]: Simplify (exp (/ 1 (log (exp (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n)))))))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 9.311 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 9.311 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 9.311 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 9.311 * [taylor]: Taking taylor expansion of -1 in n 9.312 * [backup-simplify]: Simplify -1 into -1 9.312 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 9.312 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.312 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.312 * [taylor]: Taking taylor expansion of f in n 9.312 * [backup-simplify]: Simplify f into f 9.312 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.312 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.312 * [taylor]: Taking taylor expansion of n in n 9.312 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify 1 into 1 9.312 * [backup-simplify]: Simplify (/ 1 1) into 1 9.312 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 9.312 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.312 * [taylor]: Taking taylor expansion of f in n 9.312 * [backup-simplify]: Simplify f into f 9.313 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.313 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.313 * [taylor]: Taking taylor expansion of n in n 9.313 * [backup-simplify]: Simplify 0 into 0 9.313 * [backup-simplify]: Simplify 1 into 1 9.313 * [backup-simplify]: Simplify (/ 1 1) into 1 9.313 * [backup-simplify]: Simplify (+ 0 1) into 1 9.314 * [backup-simplify]: Simplify (- 1) into -1 9.314 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.315 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.315 * [backup-simplify]: Simplify (* -1 -1) into 1 9.315 * [backup-simplify]: Simplify (exp 1) into E 9.315 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 9.315 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 9.315 * [taylor]: Taking taylor expansion of -1 in f 9.315 * [backup-simplify]: Simplify -1 into -1 9.315 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 9.315 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.315 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.315 * [taylor]: Taking taylor expansion of f in f 9.315 * [backup-simplify]: Simplify 0 into 0 9.315 * [backup-simplify]: Simplify 1 into 1 9.316 * [backup-simplify]: Simplify (/ 1 1) into 1 9.316 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.316 * [taylor]: Taking taylor expansion of n in f 9.316 * [backup-simplify]: Simplify n into n 9.316 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.316 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.316 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.316 * [taylor]: Taking taylor expansion of f in f 9.316 * [backup-simplify]: Simplify 0 into 0 9.316 * [backup-simplify]: Simplify 1 into 1 9.317 * [backup-simplify]: Simplify (/ 1 1) into 1 9.317 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.317 * [taylor]: Taking taylor expansion of n in f 9.317 * [backup-simplify]: Simplify n into n 9.317 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.317 * [backup-simplify]: Simplify (+ 1 0) into 1 9.318 * [backup-simplify]: Simplify (+ 1 0) into 1 9.318 * [backup-simplify]: Simplify (/ 1 1) into 1 9.318 * [backup-simplify]: Simplify (* -1 1) into -1 9.319 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.319 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 9.319 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 9.319 * [taylor]: Taking taylor expansion of -1 in f 9.319 * [backup-simplify]: Simplify -1 into -1 9.319 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 9.319 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.319 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.319 * [taylor]: Taking taylor expansion of f in f 9.319 * [backup-simplify]: Simplify 0 into 0 9.319 * [backup-simplify]: Simplify 1 into 1 9.319 * [backup-simplify]: Simplify (/ 1 1) into 1 9.319 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.319 * [taylor]: Taking taylor expansion of n in f 9.320 * [backup-simplify]: Simplify n into n 9.320 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.320 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.320 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.320 * [taylor]: Taking taylor expansion of f in f 9.320 * [backup-simplify]: Simplify 0 into 0 9.320 * [backup-simplify]: Simplify 1 into 1 9.320 * [backup-simplify]: Simplify (/ 1 1) into 1 9.320 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.320 * [taylor]: Taking taylor expansion of n in f 9.320 * [backup-simplify]: Simplify n into n 9.320 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.321 * [backup-simplify]: Simplify (+ 1 0) into 1 9.321 * [backup-simplify]: Simplify (+ 1 0) into 1 9.322 * [backup-simplify]: Simplify (/ 1 1) into 1 9.322 * [backup-simplify]: Simplify (* -1 1) into -1 9.322 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.323 * [taylor]: Taking taylor expansion of (exp -1) in n 9.323 * [taylor]: Taking taylor expansion of -1 in n 9.323 * [backup-simplify]: Simplify -1 into -1 9.323 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.323 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.324 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.325 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 9.325 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 9.326 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 9.326 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 9.327 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 9.327 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 9.327 * [taylor]: Taking taylor expansion of -2 in n 9.327 * [backup-simplify]: Simplify -2 into -2 9.327 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 9.327 * [taylor]: Taking taylor expansion of (exp -1) in n 9.327 * [taylor]: Taking taylor expansion of -1 in n 9.327 * [backup-simplify]: Simplify -1 into -1 9.328 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.328 * [taylor]: Taking taylor expansion of n in n 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify 1 into 1 9.329 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 9.329 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 9.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 9.330 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 9.330 * [backup-simplify]: Simplify 0 into 0 9.331 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 9.331 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.332 * [backup-simplify]: Simplify (+ 0 0) into 0 9.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.333 * [backup-simplify]: Simplify (- 0) into 0 9.333 * [backup-simplify]: Simplify (+ 0 0) into 0 9.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 9.334 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 9.335 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 9.335 * [taylor]: Taking taylor expansion of 0 in n 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.337 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 9.337 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.338 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.339 * [backup-simplify]: Simplify (+ 0 0) into 0 9.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.340 * [backup-simplify]: Simplify (- 0) into 0 9.340 * [backup-simplify]: Simplify (+ 0 0) into 0 9.341 * [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))) 9.342 * [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)))) 9.343 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 9.343 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 9.343 * [taylor]: Taking taylor expansion of 2/3 in n 9.343 * [backup-simplify]: Simplify 2/3 into 2/3 9.343 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 9.343 * [taylor]: Taking taylor expansion of (exp -1) in n 9.343 * [taylor]: Taking taylor expansion of -1 in n 9.343 * [backup-simplify]: Simplify -1 into -1 9.343 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.343 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.343 * [taylor]: Taking taylor expansion of n in n 9.343 * [backup-simplify]: Simplify 0 into 0 9.343 * [backup-simplify]: Simplify 1 into 1 9.343 * [backup-simplify]: Simplify (* 1 1) into 1 9.344 * [backup-simplify]: Simplify (* 1 1) into 1 9.344 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 9.345 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.348 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 9.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 9.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.350 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.352 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 9.352 * [backup-simplify]: Simplify 0 into 0 9.353 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.353 * [backup-simplify]: Simplify (exp (/ 1 (log (exp (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n))))))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 9.353 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 9.353 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 9.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 9.353 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.353 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.353 * [taylor]: Taking taylor expansion of f in n 9.353 * [backup-simplify]: Simplify f into f 9.353 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.353 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.353 * [taylor]: Taking taylor expansion of n in n 9.353 * [backup-simplify]: Simplify 0 into 0 9.353 * [backup-simplify]: Simplify 1 into 1 9.354 * [backup-simplify]: Simplify (/ 1 1) into 1 9.354 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 9.354 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.354 * [taylor]: Taking taylor expansion of n in n 9.354 * [backup-simplify]: Simplify 0 into 0 9.354 * [backup-simplify]: Simplify 1 into 1 9.354 * [backup-simplify]: Simplify (/ 1 1) into 1 9.354 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.354 * [taylor]: Taking taylor expansion of f in n 9.354 * [backup-simplify]: Simplify f into f 9.354 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.354 * [backup-simplify]: Simplify (+ 0 1) into 1 9.355 * [backup-simplify]: Simplify (+ 1 0) into 1 9.355 * [backup-simplify]: Simplify (/ 1 1) into 1 9.355 * [backup-simplify]: Simplify (exp 1) into E 9.355 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 9.355 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 9.355 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.355 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.355 * [taylor]: Taking taylor expansion of f in f 9.355 * [backup-simplify]: Simplify 0 into 0 9.355 * [backup-simplify]: Simplify 1 into 1 9.355 * [backup-simplify]: Simplify (/ 1 1) into 1 9.355 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.355 * [taylor]: Taking taylor expansion of n in f 9.355 * [backup-simplify]: Simplify n into n 9.355 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.355 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.355 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.355 * [taylor]: Taking taylor expansion of n in f 9.355 * [backup-simplify]: Simplify n into n 9.355 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.355 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.355 * [taylor]: Taking taylor expansion of f in f 9.355 * [backup-simplify]: Simplify 0 into 0 9.355 * [backup-simplify]: Simplify 1 into 1 9.356 * [backup-simplify]: Simplify (/ 1 1) into 1 9.356 * [backup-simplify]: Simplify (+ 1 0) into 1 9.356 * [backup-simplify]: Simplify (- 1) into -1 9.356 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.357 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.357 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.357 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 9.357 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 9.357 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.357 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.357 * [taylor]: Taking taylor expansion of f in f 9.357 * [backup-simplify]: Simplify 0 into 0 9.357 * [backup-simplify]: Simplify 1 into 1 9.357 * [backup-simplify]: Simplify (/ 1 1) into 1 9.357 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.357 * [taylor]: Taking taylor expansion of n in f 9.357 * [backup-simplify]: Simplify n into n 9.357 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.357 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.357 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.357 * [taylor]: Taking taylor expansion of n in f 9.358 * [backup-simplify]: Simplify n into n 9.358 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.358 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.358 * [taylor]: Taking taylor expansion of f in f 9.358 * [backup-simplify]: Simplify 0 into 0 9.358 * [backup-simplify]: Simplify 1 into 1 9.358 * [backup-simplify]: Simplify (/ 1 1) into 1 9.358 * [backup-simplify]: Simplify (+ 1 0) into 1 9.358 * [backup-simplify]: Simplify (- 1) into -1 9.359 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.359 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.359 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.359 * [taylor]: Taking taylor expansion of (exp -1) in n 9.359 * [taylor]: Taking taylor expansion of -1 in n 9.359 * [backup-simplify]: Simplify -1 into -1 9.359 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.360 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.360 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.361 * [backup-simplify]: Simplify (- 0) into 0 9.361 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 9.361 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 9.362 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 9.362 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 9.362 * [taylor]: Taking taylor expansion of -2 in n 9.362 * [backup-simplify]: Simplify -2 into -2 9.362 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 9.362 * [taylor]: Taking taylor expansion of (exp -1) in n 9.362 * [taylor]: Taking taylor expansion of -1 in n 9.362 * [backup-simplify]: Simplify -1 into -1 9.363 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.363 * [taylor]: Taking taylor expansion of n in n 9.363 * [backup-simplify]: Simplify 0 into 0 9.363 * [backup-simplify]: Simplify 1 into 1 9.364 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 9.365 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 9.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 9.367 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 9.367 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 9.368 * [backup-simplify]: Simplify 0 into 0 9.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.370 * [backup-simplify]: Simplify (+ 0 0) into 0 9.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.371 * [backup-simplify]: Simplify (- 0) into 0 9.372 * [backup-simplify]: Simplify (+ 0 0) into 0 9.373 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 9.374 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 9.374 * [taylor]: Taking taylor expansion of 0 in n 9.374 * [backup-simplify]: Simplify 0 into 0 9.374 * [backup-simplify]: Simplify 0 into 0 9.376 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.378 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 9.378 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.379 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.380 * [backup-simplify]: Simplify (+ 0 0) into 0 9.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.380 * [backup-simplify]: Simplify (- 0) into 0 9.381 * [backup-simplify]: Simplify (+ 0 0) into 0 9.382 * [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)))) 9.383 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 9.383 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 9.383 * [taylor]: Taking taylor expansion of 2/3 in n 9.383 * [backup-simplify]: Simplify 2/3 into 2/3 9.383 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 9.383 * [taylor]: Taking taylor expansion of (exp -1) in n 9.383 * [taylor]: Taking taylor expansion of -1 in n 9.383 * [backup-simplify]: Simplify -1 into -1 9.386 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.386 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.386 * [taylor]: Taking taylor expansion of n in n 9.386 * [backup-simplify]: Simplify 0 into 0 9.386 * [backup-simplify]: Simplify 1 into 1 9.386 * [backup-simplify]: Simplify (* 1 1) into 1 9.387 * [backup-simplify]: Simplify (* 1 1) into 1 9.387 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 9.388 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.391 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 9.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 9.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.393 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.395 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 9.395 * [backup-simplify]: Simplify 0 into 0 9.396 * [backup-simplify]: Simplify (exp -1) into (exp -1) 9.396 * * * * [progress]: [ 4 / 4 ] generating series at (2) 9.396 * [backup-simplify]: Simplify (log (exp (/ 1 (log (exp (/ (- f n) (- (+ f n)))))))) into (* -1 (/ (+ n f) (- f n))) 9.396 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 9.396 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 9.396 * [taylor]: Taking taylor expansion of -1 in n 9.396 * [backup-simplify]: Simplify -1 into -1 9.396 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 9.396 * [taylor]: Taking taylor expansion of (+ n f) in n 9.396 * [taylor]: Taking taylor expansion of n in n 9.396 * [backup-simplify]: Simplify 0 into 0 9.396 * [backup-simplify]: Simplify 1 into 1 9.396 * [taylor]: Taking taylor expansion of f in n 9.396 * [backup-simplify]: Simplify f into f 9.396 * [taylor]: Taking taylor expansion of (- f n) in n 9.396 * [taylor]: Taking taylor expansion of f in n 9.396 * [backup-simplify]: Simplify f into f 9.396 * [taylor]: Taking taylor expansion of n in n 9.396 * [backup-simplify]: Simplify 0 into 0 9.396 * [backup-simplify]: Simplify 1 into 1 9.396 * [backup-simplify]: Simplify (+ 0 f) into f 9.397 * [backup-simplify]: Simplify (- 0) into 0 9.397 * [backup-simplify]: Simplify (+ f 0) into f 9.397 * [backup-simplify]: Simplify (/ f f) into 1 9.397 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 9.397 * [taylor]: Taking taylor expansion of -1 in f 9.397 * [backup-simplify]: Simplify -1 into -1 9.397 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 9.397 * [taylor]: Taking taylor expansion of (+ n f) in f 9.397 * [taylor]: Taking taylor expansion of n in f 9.397 * [backup-simplify]: Simplify n into n 9.397 * [taylor]: Taking taylor expansion of f in f 9.397 * [backup-simplify]: Simplify 0 into 0 9.397 * [backup-simplify]: Simplify 1 into 1 9.397 * [taylor]: Taking taylor expansion of (- f n) in f 9.397 * [taylor]: Taking taylor expansion of f in f 9.397 * [backup-simplify]: Simplify 0 into 0 9.397 * [backup-simplify]: Simplify 1 into 1 9.397 * [taylor]: Taking taylor expansion of n in f 9.397 * [backup-simplify]: Simplify n into n 9.397 * [backup-simplify]: Simplify (+ n 0) into n 9.397 * [backup-simplify]: Simplify (- n) into (- n) 9.397 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.397 * [backup-simplify]: Simplify (/ n (- n)) into -1 9.397 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 9.397 * [taylor]: Taking taylor expansion of -1 in f 9.397 * [backup-simplify]: Simplify -1 into -1 9.397 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 9.397 * [taylor]: Taking taylor expansion of (+ n f) in f 9.397 * [taylor]: Taking taylor expansion of n in f 9.397 * [backup-simplify]: Simplify n into n 9.397 * [taylor]: Taking taylor expansion of f in f 9.397 * [backup-simplify]: Simplify 0 into 0 9.397 * [backup-simplify]: Simplify 1 into 1 9.397 * [taylor]: Taking taylor expansion of (- f n) in f 9.397 * [taylor]: Taking taylor expansion of f in f 9.397 * [backup-simplify]: Simplify 0 into 0 9.397 * [backup-simplify]: Simplify 1 into 1 9.397 * [taylor]: Taking taylor expansion of n in f 9.397 * [backup-simplify]: Simplify n into n 9.397 * [backup-simplify]: Simplify (+ n 0) into n 9.397 * [backup-simplify]: Simplify (- n) into (- n) 9.397 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.397 * [backup-simplify]: Simplify (/ n (- n)) into -1 9.398 * [backup-simplify]: Simplify (* -1 -1) into 1 9.398 * [taylor]: Taking taylor expansion of 1 in n 9.398 * [backup-simplify]: Simplify 1 into 1 9.398 * [backup-simplify]: Simplify 1 into 1 9.398 * [backup-simplify]: Simplify (+ 0 1) into 1 9.398 * [backup-simplify]: Simplify (- 0) into 0 9.399 * [backup-simplify]: Simplify (+ 1 0) into 1 9.399 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 9.399 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 9.399 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.399 * [taylor]: Taking taylor expansion of 2 in n 9.399 * [backup-simplify]: Simplify 2 into 2 9.399 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.399 * [taylor]: Taking taylor expansion of n in n 9.399 * [backup-simplify]: Simplify 0 into 0 9.399 * [backup-simplify]: Simplify 1 into 1 9.399 * [backup-simplify]: Simplify (/ 1 1) into 1 9.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.400 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.400 * [backup-simplify]: Simplify 0 into 0 9.400 * [backup-simplify]: Simplify 0 into 0 9.400 * [backup-simplify]: Simplify (+ 0 0) into 0 9.401 * [backup-simplify]: Simplify (- 0) into 0 9.401 * [backup-simplify]: Simplify (+ 0 0) into 0 9.401 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 9.402 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 9.402 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.402 * [taylor]: Taking taylor expansion of 2 in n 9.402 * [backup-simplify]: Simplify 2 into 2 9.402 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.402 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.402 * [taylor]: Taking taylor expansion of n in n 9.402 * [backup-simplify]: Simplify 0 into 0 9.402 * [backup-simplify]: Simplify 1 into 1 9.402 * [backup-simplify]: Simplify (* 1 1) into 1 9.402 * [backup-simplify]: Simplify (/ 1 1) into 1 9.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.405 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.405 * [backup-simplify]: Simplify 0 into 0 9.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.406 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.406 * [backup-simplify]: Simplify 0 into 0 9.406 * [backup-simplify]: Simplify 0 into 0 9.406 * [backup-simplify]: Simplify (+ 0 0) into 0 9.406 * [backup-simplify]: Simplify (- 0) into 0 9.407 * [backup-simplify]: Simplify (+ 0 0) into 0 9.407 * [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)))) 9.408 * [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))) 9.408 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.408 * [taylor]: Taking taylor expansion of 2 in n 9.408 * [backup-simplify]: Simplify 2 into 2 9.408 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.408 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.408 * [taylor]: Taking taylor expansion of n in n 9.408 * [backup-simplify]: Simplify 0 into 0 9.408 * [backup-simplify]: Simplify 1 into 1 9.408 * [backup-simplify]: Simplify (* 1 1) into 1 9.408 * [backup-simplify]: Simplify (* 1 1) into 1 9.409 * [backup-simplify]: Simplify (/ 1 1) into 1 9.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.414 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.414 * [backup-simplify]: Simplify 0 into 0 9.414 * [backup-simplify]: Simplify 1 into 1 9.415 * [backup-simplify]: Simplify (log (exp (/ 1 (log (exp (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n))))))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 9.415 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 9.415 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 9.415 * [taylor]: Taking taylor expansion of -1 in n 9.415 * [backup-simplify]: Simplify -1 into -1 9.415 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 9.415 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.415 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.415 * [taylor]: Taking taylor expansion of f in n 9.415 * [backup-simplify]: Simplify f into f 9.415 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.415 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.415 * [taylor]: Taking taylor expansion of n in n 9.415 * [backup-simplify]: Simplify 0 into 0 9.415 * [backup-simplify]: Simplify 1 into 1 9.416 * [backup-simplify]: Simplify (/ 1 1) into 1 9.416 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 9.416 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.416 * [taylor]: Taking taylor expansion of f in n 9.416 * [backup-simplify]: Simplify f into f 9.416 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.416 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.416 * [taylor]: Taking taylor expansion of n in n 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 1 into 1 9.417 * [backup-simplify]: Simplify (/ 1 1) into 1 9.417 * [backup-simplify]: Simplify (+ 0 1) into 1 9.417 * [backup-simplify]: Simplify (- 1) into -1 9.418 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.418 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.418 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 9.418 * [taylor]: Taking taylor expansion of -1 in f 9.418 * [backup-simplify]: Simplify -1 into -1 9.418 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 9.418 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.418 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.418 * [taylor]: Taking taylor expansion of f in f 9.418 * [backup-simplify]: Simplify 0 into 0 9.418 * [backup-simplify]: Simplify 1 into 1 9.419 * [backup-simplify]: Simplify (/ 1 1) into 1 9.419 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.419 * [taylor]: Taking taylor expansion of n in f 9.419 * [backup-simplify]: Simplify n into n 9.419 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.419 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.419 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.419 * [taylor]: Taking taylor expansion of f in f 9.419 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify 1 into 1 9.420 * [backup-simplify]: Simplify (/ 1 1) into 1 9.420 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.420 * [taylor]: Taking taylor expansion of n in f 9.420 * [backup-simplify]: Simplify n into n 9.420 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.420 * [backup-simplify]: Simplify (+ 1 0) into 1 9.421 * [backup-simplify]: Simplify (+ 1 0) into 1 9.421 * [backup-simplify]: Simplify (/ 1 1) into 1 9.421 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 9.421 * [taylor]: Taking taylor expansion of -1 in f 9.421 * [backup-simplify]: Simplify -1 into -1 9.421 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 9.421 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.421 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.421 * [taylor]: Taking taylor expansion of f in f 9.421 * [backup-simplify]: Simplify 0 into 0 9.421 * [backup-simplify]: Simplify 1 into 1 9.422 * [backup-simplify]: Simplify (/ 1 1) into 1 9.422 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.422 * [taylor]: Taking taylor expansion of n in f 9.422 * [backup-simplify]: Simplify n into n 9.422 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.422 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.422 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.422 * [taylor]: Taking taylor expansion of f in f 9.422 * [backup-simplify]: Simplify 0 into 0 9.422 * [backup-simplify]: Simplify 1 into 1 9.422 * [backup-simplify]: Simplify (/ 1 1) into 1 9.422 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.422 * [taylor]: Taking taylor expansion of n in f 9.422 * [backup-simplify]: Simplify n into n 9.422 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.423 * [backup-simplify]: Simplify (+ 1 0) into 1 9.423 * [backup-simplify]: Simplify (+ 1 0) into 1 9.424 * [backup-simplify]: Simplify (/ 1 1) into 1 9.424 * [backup-simplify]: Simplify (* -1 1) into -1 9.424 * [taylor]: Taking taylor expansion of -1 in n 9.424 * [backup-simplify]: Simplify -1 into -1 9.424 * [backup-simplify]: Simplify -1 into -1 9.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.425 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.426 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 9.426 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 9.426 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 9.427 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 9.427 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.427 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.427 * [taylor]: Taking taylor expansion of 2 in n 9.427 * [backup-simplify]: Simplify 2 into 2 9.427 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.427 * [taylor]: Taking taylor expansion of n in n 9.427 * [backup-simplify]: Simplify 0 into 0 9.427 * [backup-simplify]: Simplify 1 into 1 9.428 * [backup-simplify]: Simplify (/ 1 1) into 1 9.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.429 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.430 * [backup-simplify]: Simplify (- 0) into 0 9.430 * [backup-simplify]: Simplify 0 into 0 9.430 * [backup-simplify]: Simplify 0 into 0 9.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.431 * [backup-simplify]: Simplify (+ 0 0) into 0 9.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.432 * [backup-simplify]: Simplify (- 0) into 0 9.433 * [backup-simplify]: Simplify (+ 0 0) into 0 9.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 9.435 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 9.435 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 9.435 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.435 * [taylor]: Taking taylor expansion of 2 in n 9.435 * [backup-simplify]: Simplify 2 into 2 9.435 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.435 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.435 * [taylor]: Taking taylor expansion of n in n 9.435 * [backup-simplify]: Simplify 0 into 0 9.435 * [backup-simplify]: Simplify 1 into 1 9.436 * [backup-simplify]: Simplify (* 1 1) into 1 9.436 * [backup-simplify]: Simplify (/ 1 1) into 1 9.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.441 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.441 * [backup-simplify]: Simplify (- 0) into 0 9.441 * [backup-simplify]: Simplify 0 into 0 9.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.443 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.443 * [backup-simplify]: Simplify (- 0) into 0 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify 0 into 0 9.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.445 * [backup-simplify]: Simplify (+ 0 0) into 0 9.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.447 * [backup-simplify]: Simplify (- 0) into 0 9.447 * [backup-simplify]: Simplify (+ 0 0) into 0 9.449 * [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))) 9.450 * [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)))) 9.450 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.450 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.450 * [taylor]: Taking taylor expansion of 2 in n 9.450 * [backup-simplify]: Simplify 2 into 2 9.450 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.450 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.450 * [taylor]: Taking taylor expansion of n in n 9.450 * [backup-simplify]: Simplify 0 into 0 9.450 * [backup-simplify]: Simplify 1 into 1 9.451 * [backup-simplify]: Simplify (* 1 1) into 1 9.451 * [backup-simplify]: Simplify (* 1 1) into 1 9.452 * [backup-simplify]: Simplify (/ 1 1) into 1 9.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.461 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.461 * [backup-simplify]: Simplify (- 0) into 0 9.461 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify -1 into -1 9.462 * [backup-simplify]: Simplify (log (exp (/ 1 (log (exp (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n)))))))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 9.462 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 9.462 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 9.462 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.462 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.463 * [taylor]: Taking taylor expansion of f in n 9.463 * [backup-simplify]: Simplify f into f 9.463 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.463 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.463 * [taylor]: Taking taylor expansion of n in n 9.463 * [backup-simplify]: Simplify 0 into 0 9.463 * [backup-simplify]: Simplify 1 into 1 9.463 * [backup-simplify]: Simplify (/ 1 1) into 1 9.463 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 9.463 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.463 * [taylor]: Taking taylor expansion of n in n 9.463 * [backup-simplify]: Simplify 0 into 0 9.463 * [backup-simplify]: Simplify 1 into 1 9.464 * [backup-simplify]: Simplify (/ 1 1) into 1 9.464 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.464 * [taylor]: Taking taylor expansion of f in n 9.464 * [backup-simplify]: Simplify f into f 9.464 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.464 * [backup-simplify]: Simplify (+ 0 1) into 1 9.465 * [backup-simplify]: Simplify (+ 1 0) into 1 9.465 * [backup-simplify]: Simplify (/ 1 1) into 1 9.465 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 9.465 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.465 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.465 * [taylor]: Taking taylor expansion of f in f 9.465 * [backup-simplify]: Simplify 0 into 0 9.465 * [backup-simplify]: Simplify 1 into 1 9.466 * [backup-simplify]: Simplify (/ 1 1) into 1 9.466 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.466 * [taylor]: Taking taylor expansion of n in f 9.466 * [backup-simplify]: Simplify n into n 9.466 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.466 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.466 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.466 * [taylor]: Taking taylor expansion of n in f 9.466 * [backup-simplify]: Simplify n into n 9.466 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.466 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.466 * [taylor]: Taking taylor expansion of f in f 9.466 * [backup-simplify]: Simplify 0 into 0 9.466 * [backup-simplify]: Simplify 1 into 1 9.467 * [backup-simplify]: Simplify (/ 1 1) into 1 9.467 * [backup-simplify]: Simplify (+ 1 0) into 1 9.467 * [backup-simplify]: Simplify (- 1) into -1 9.468 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.468 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.468 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 9.468 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.468 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.468 * [taylor]: Taking taylor expansion of f in f 9.468 * [backup-simplify]: Simplify 0 into 0 9.468 * [backup-simplify]: Simplify 1 into 1 9.469 * [backup-simplify]: Simplify (/ 1 1) into 1 9.469 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.469 * [taylor]: Taking taylor expansion of n in f 9.469 * [backup-simplify]: Simplify n into n 9.469 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.469 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.469 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.469 * [taylor]: Taking taylor expansion of n in f 9.469 * [backup-simplify]: Simplify n into n 9.469 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.469 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.469 * [taylor]: Taking taylor expansion of f in f 9.469 * [backup-simplify]: Simplify 0 into 0 9.469 * [backup-simplify]: Simplify 1 into 1 9.470 * [backup-simplify]: Simplify (/ 1 1) into 1 9.470 * [backup-simplify]: Simplify (+ 1 0) into 1 9.471 * [backup-simplify]: Simplify (- 1) into -1 9.471 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.471 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.472 * [taylor]: Taking taylor expansion of -1 in n 9.472 * [backup-simplify]: Simplify -1 into -1 9.472 * [backup-simplify]: Simplify -1 into -1 9.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.472 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.474 * [backup-simplify]: Simplify (- 0) into 0 9.474 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 9.474 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 9.474 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.474 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.474 * [taylor]: Taking taylor expansion of 2 in n 9.474 * [backup-simplify]: Simplify 2 into 2 9.474 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.474 * [taylor]: Taking taylor expansion of n in n 9.474 * [backup-simplify]: Simplify 0 into 0 9.474 * [backup-simplify]: Simplify 1 into 1 9.475 * [backup-simplify]: Simplify (/ 1 1) into 1 9.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.476 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 9.477 * [backup-simplify]: Simplify (- 0) into 0 9.477 * [backup-simplify]: Simplify 0 into 0 9.477 * [backup-simplify]: Simplify 0 into 0 9.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.478 * [backup-simplify]: Simplify (+ 0 0) into 0 9.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.480 * [backup-simplify]: Simplify (- 0) into 0 9.480 * [backup-simplify]: Simplify (+ 0 0) into 0 9.481 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 9.481 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 9.481 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 9.481 * [taylor]: Taking taylor expansion of 2 in n 9.481 * [backup-simplify]: Simplify 2 into 2 9.481 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.481 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.481 * [taylor]: Taking taylor expansion of n in n 9.481 * [backup-simplify]: Simplify 0 into 0 9.481 * [backup-simplify]: Simplify 1 into 1 9.482 * [backup-simplify]: Simplify (* 1 1) into 1 9.482 * [backup-simplify]: Simplify (/ 1 1) into 1 9.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.486 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.487 * [backup-simplify]: Simplify (- 0) into 0 9.487 * [backup-simplify]: Simplify 0 into 0 9.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.489 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 9.489 * [backup-simplify]: Simplify (- 0) into 0 9.489 * [backup-simplify]: Simplify 0 into 0 9.489 * [backup-simplify]: Simplify 0 into 0 9.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.491 * [backup-simplify]: Simplify (+ 0 0) into 0 9.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.492 * [backup-simplify]: Simplify (- 0) into 0 9.493 * [backup-simplify]: Simplify (+ 0 0) into 0 9.495 * [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)))) 9.495 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.495 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.495 * [taylor]: Taking taylor expansion of 2 in n 9.495 * [backup-simplify]: Simplify 2 into 2 9.495 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.495 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.495 * [taylor]: Taking taylor expansion of n in n 9.495 * [backup-simplify]: Simplify 0 into 0 9.495 * [backup-simplify]: Simplify 1 into 1 9.495 * [backup-simplify]: Simplify (* 1 1) into 1 9.496 * [backup-simplify]: Simplify (* 1 1) into 1 9.496 * [backup-simplify]: Simplify (/ 1 1) into 1 9.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.506 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.507 * [backup-simplify]: Simplify (- 0) into 0 9.507 * [backup-simplify]: Simplify 0 into 0 9.507 * [backup-simplify]: Simplify -1 into -1 9.507 * * * [progress]: simplifying candidates 9.545 * [simplify]: Simplifying: (- 1) (- (log (log (exp (/ (- f n) (- (+ f n))))))) (- 0 (log (log (exp (/ (- f n) (- (+ f n))))))) (- (log 1) (log (log (exp (/ (- f n) (- (+ f n))))))) (log (/ 1 (log (exp (/ (- f n) (- (+ f n))))))) (exp (/ 1 (log (exp (/ (- f n) (- (+ f n))))))) (/ (* (* 1 1) 1) (* (* (log (exp (/ (- f n) (- (+ f n))))) (log (exp (/ (- f n) (- (+ f n)))))) (log (exp (/ (- f n) (- (+ f n))))))) (* (cbrt (/ 1 (log (exp (/ (- f n) (- (+ f n))))))) (cbrt (/ 1 (log (exp (/ (- f n) (- (+ f n)))))))) (cbrt (/ 1 (log (exp (/ (- f n) (- (+ f n))))))) (* (* (/ 1 (log (exp (/ (- f n) (- (+ f n)))))) (/ 1 (log (exp (/ (- f n) (- (+ f n))))))) (/ 1 (log (exp (/ (- f n) (- (+ f n))))))) (sqrt (/ 1 (log (exp (/ (- f n) (- (+ f n))))))) (sqrt (/ 1 (log (exp (/ (- f n) (- (+ f n))))))) (- 1) (- (log (exp (/ (- f n) (- (+ f n)))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (log (exp (/ (- f n) (- (+ f n)))))) (/ (* (cbrt 1) (cbrt 1)) (cbrt (/ (- f n) (- (+ f n))))) (/ (cbrt 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Extracting # 1 : cost 0 10.154 * * [simplify]: Extracting # 2 : cost 0 10.156 * * [simplify]: Extracting # 3 : cost 0 10.159 * * [simplify]: Extracting # 4 : cost 0 10.167 * * [simplify]: iteration 1 : 1302 enodes (cost 11731 ) 10.632 * * [simplify]: Extracting # 0 : cost 0 10.640 * * [simplify]: Extracting # 1 : cost 0 10.647 * * [simplify]: Extracting # 2 : cost 0 10.655 * * [simplify]: Extracting # 3 : cost 0 10.666 * * [simplify]: Extracting # 4 : cost 0 10.677 * * [simplify]: iteration 2 : 4693 enodes (cost 11469 ) 12.023 * * [simplify]: Extracting # 0 : cost 0 12.030 * * [simplify]: Extracting # 1 : cost 0 12.036 * * [simplify]: Extracting # 2 : cost 0 12.042 * * [simplify]: iteration done: 5000 enodes (cost 11469 ) 12.046 * [simplify]: Simplified to: -1 (- (log (/ (- f n) (- (+ f n))))) (- (log (/ (- f n) (- (+ f n))))) (- (log (/ (- f n) (- (+ f n))))) (- (log (/ (- f n) (- (+ f n))))) (exp (/ 1 (/ (- f n) (- (+ f n))))) (/ 1 (pow (/ (- f n) (- (+ f n))) 3)) (* (cbrt (/ 1 (/ (- 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(sqrt (/ 1 (/ (- f n) (- (+ f n))))) 1 -1 -1 1 -1 -1 E (exp -1) (exp -1) 1 -1 -1 12.055 * * * [progress]: adding candidates to table 14.604 * [progress]: [Phase 3 of 3] Extracting. 14.604 * * [regime]: Finding splitpoints for: (# # #) 14.607 * * * [regime-changes]: Trying 2 branch expressions: (n f) 14.607 * * * * [regimes]: Trying to branch on n from (# # #) 14.628 * * * * [regimes]: Trying to branch on f from (# # #) 14.644 * * * [regime]: Found split indices: #