0.473 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.066 * * * [progress]: [2/2] Setting up program. 0.114 * [progress]: [Phase 2 of 3] Improving. 0.115 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.117 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.118 * * [simplify]: iteration 0: 6 enodes 0.126 * * [simplify]: iteration 1: 13 enodes 0.134 * * [simplify]: iteration 2: 16 enodes 0.143 * * [simplify]: iteration 3: 20 enodes 0.155 * * [simplify]: iteration 4: 24 enodes 0.183 * * [simplify]: iteration 5: 29 enodes 0.213 * * [simplify]: iteration 6: 31 enodes 0.242 * * [simplify]: iteration complete: 31 enodes 0.242 * * [simplify]: Extracting #0: cost 1 inf + 0 0.243 * * [simplify]: Extracting #1: cost 9 inf + 0 0.243 * * [simplify]: Extracting #2: cost 14 inf + 0 0.243 * * [simplify]: Extracting #3: cost 11 inf + 43 0.244 * * [simplify]: Extracting #4: cost 2 inf + 860 0.244 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.245 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.249 * * [progress]: iteration 1 / 4 0.249 * * * [progress]: picking best candidate 0.275 * * * * [pick]: Picked # 0.275 * * * [progress]: localizing error 0.352 * * * [progress]: generating rewritten candidates 0.353 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.499 * * * [progress]: generating series expansions 0.500 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.509 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.510 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.511 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.511 * [taylor]: Taking taylor expansion of -1 in n 0.511 * [backup-simplify]: Simplify -1 into -1 0.511 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.511 * [taylor]: Taking taylor expansion of (+ n f) in n 0.511 * [taylor]: Taking taylor expansion of n in n 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [taylor]: Taking taylor expansion of f in n 0.511 * [backup-simplify]: Simplify f into f 0.512 * [taylor]: Taking taylor expansion of (- f n) in n 0.512 * [taylor]: Taking taylor expansion of f in n 0.512 * [backup-simplify]: Simplify f into f 0.512 * [taylor]: Taking taylor expansion of n in n 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (+ 0 f) into f 0.513 * [backup-simplify]: Simplify (- 0) into 0 0.513 * [backup-simplify]: Simplify (+ f 0) into f 0.513 * [backup-simplify]: Simplify (/ f f) into 1 0.513 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.513 * [taylor]: Taking taylor expansion of -1 in f 0.513 * [backup-simplify]: Simplify -1 into -1 0.513 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.513 * [taylor]: Taking taylor expansion of (+ n f) in f 0.513 * [taylor]: Taking taylor expansion of n in f 0.514 * [backup-simplify]: Simplify n into n 0.514 * [taylor]: Taking taylor expansion of f in f 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [taylor]: Taking taylor expansion of (- f n) in f 0.514 * [taylor]: Taking taylor expansion of f in f 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [taylor]: Taking taylor expansion of n in f 0.514 * [backup-simplify]: Simplify n into n 0.514 * [backup-simplify]: Simplify (+ n 0) into n 0.514 * [backup-simplify]: Simplify (- n) into (- n) 0.514 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.514 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.514 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.514 * [taylor]: Taking taylor expansion of -1 in f 0.514 * [backup-simplify]: Simplify -1 into -1 0.514 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.514 * [taylor]: Taking taylor expansion of (+ n f) in f 0.514 * [taylor]: Taking taylor expansion of n in f 0.515 * [backup-simplify]: Simplify n into n 0.515 * [taylor]: Taking taylor expansion of f in f 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [taylor]: Taking taylor expansion of (- f n) in f 0.515 * [taylor]: Taking taylor expansion of f in f 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [taylor]: Taking taylor expansion of n in f 0.515 * [backup-simplify]: Simplify n into n 0.515 * [backup-simplify]: Simplify (+ n 0) into n 0.515 * [backup-simplify]: Simplify (- n) into (- n) 0.515 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.515 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.517 * [backup-simplify]: Simplify (* -1 -1) into 1 0.517 * [taylor]: Taking taylor expansion of 1 in n 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (+ 0 1) into 1 0.518 * [backup-simplify]: Simplify (- 0) into 0 0.519 * [backup-simplify]: Simplify (+ 1 0) into 1 0.519 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.520 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.520 * [taylor]: Taking taylor expansion of 2 in n 0.520 * [backup-simplify]: Simplify 2 into 2 0.520 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.520 * [taylor]: Taking taylor expansion of n in n 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.528 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.528 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.528 * [taylor]: Taking taylor expansion of 2 in n 0.528 * [backup-simplify]: Simplify 2 into 2 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.528 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.528 * [taylor]: Taking taylor expansion of n in n 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (* 1 1) into 1 0.529 * [backup-simplify]: Simplify (/ 1 1) into 1 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [backup-simplify]: Simplify (- 0) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [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)))) 0.543 * [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))) 0.543 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.543 * [taylor]: Taking taylor expansion of 2 in n 0.543 * [backup-simplify]: Simplify 2 into 2 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.543 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.543 * [taylor]: Taking taylor expansion of n in n 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (* 1 1) into 1 0.545 * [backup-simplify]: Simplify (* 1 1) into 1 0.545 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.550 * [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 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.553 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.553 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.553 * [taylor]: Taking taylor expansion of -1 in n 0.553 * [backup-simplify]: Simplify -1 into -1 0.553 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.553 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.553 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.553 * [taylor]: Taking taylor expansion of f in n 0.553 * [backup-simplify]: Simplify f into f 0.553 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.553 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.553 * [taylor]: Taking taylor expansion of n in n 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (/ 1 1) into 1 0.554 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.554 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.554 * [taylor]: Taking taylor expansion of f in n 0.554 * [backup-simplify]: Simplify f into f 0.554 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.554 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.554 * [taylor]: Taking taylor expansion of n in n 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (/ 1 1) into 1 0.554 * [backup-simplify]: Simplify (+ 0 1) into 1 0.555 * [backup-simplify]: Simplify (- 1) into -1 0.555 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.555 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.555 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.555 * [taylor]: Taking taylor expansion of -1 in f 0.555 * [backup-simplify]: Simplify -1 into -1 0.555 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.555 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.555 * [taylor]: Taking taylor expansion of f in f 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.556 * [taylor]: Taking taylor expansion of n in f 0.556 * [backup-simplify]: Simplify n into n 0.556 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.556 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.556 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.556 * [taylor]: Taking taylor expansion of f in f 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.556 * [taylor]: Taking taylor expansion of n in f 0.556 * [backup-simplify]: Simplify n into n 0.556 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.557 * [backup-simplify]: Simplify (+ 1 0) into 1 0.557 * [backup-simplify]: Simplify (+ 1 0) into 1 0.557 * [backup-simplify]: Simplify (/ 1 1) into 1 0.557 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.557 * [taylor]: Taking taylor expansion of -1 in f 0.557 * [backup-simplify]: Simplify -1 into -1 0.557 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.557 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.557 * [taylor]: Taking taylor expansion of f in f 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.558 * [taylor]: Taking taylor expansion of n in f 0.558 * [backup-simplify]: Simplify n into n 0.558 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.558 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.558 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.558 * [taylor]: Taking taylor expansion of f in f 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.558 * [taylor]: Taking taylor expansion of n in f 0.558 * [backup-simplify]: Simplify n into n 0.558 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.558 * [backup-simplify]: Simplify (+ 1 0) into 1 0.559 * [backup-simplify]: Simplify (+ 1 0) into 1 0.559 * [backup-simplify]: Simplify (/ 1 1) into 1 0.559 * [backup-simplify]: Simplify (* -1 1) into -1 0.559 * [taylor]: Taking taylor expansion of -1 in n 0.559 * [backup-simplify]: Simplify -1 into -1 0.559 * [backup-simplify]: Simplify -1 into -1 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.561 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.561 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.561 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.561 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.561 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.561 * [taylor]: Taking taylor expansion of 2 in n 0.561 * [backup-simplify]: Simplify 2 into 2 0.561 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.561 * [taylor]: Taking taylor expansion of n in n 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify (/ 1 1) into 1 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.563 * [backup-simplify]: Simplify (- 0) into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.565 * [backup-simplify]: Simplify (- 0) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.567 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.567 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.567 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.567 * [taylor]: Taking taylor expansion of 2 in n 0.567 * [backup-simplify]: Simplify 2 into 2 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.567 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.567 * [taylor]: Taking taylor expansion of n in n 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (* 1 1) into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.571 * [backup-simplify]: Simplify (- 0) into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.572 * [backup-simplify]: Simplify (- 0) into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.575 * [backup-simplify]: Simplify (- 0) into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [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))) 0.578 * [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)))) 0.578 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.578 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.578 * [taylor]: Taking taylor expansion of 2 in n 0.578 * [backup-simplify]: Simplify 2 into 2 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.578 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.578 * [taylor]: Taking taylor expansion of n in n 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (* 1 1) into 1 0.578 * [backup-simplify]: Simplify (* 1 1) into 1 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (- 0) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify -1 into -1 0.596 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.596 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.596 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.596 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.596 * [taylor]: Taking taylor expansion of f in n 0.596 * [backup-simplify]: Simplify f into f 0.596 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.596 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.596 * [taylor]: Taking taylor expansion of n in n 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.597 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.597 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.597 * [taylor]: Taking taylor expansion of n in n 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.597 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.597 * [taylor]: Taking taylor expansion of f in n 0.597 * [backup-simplify]: Simplify f into f 0.598 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.598 * [backup-simplify]: Simplify (+ 0 1) into 1 0.598 * [backup-simplify]: Simplify (+ 1 0) into 1 0.599 * [backup-simplify]: Simplify (/ 1 1) into 1 0.599 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.599 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.599 * [taylor]: Taking taylor expansion of f in f 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (/ 1 1) into 1 0.600 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.600 * [taylor]: Taking taylor expansion of n in f 0.600 * [backup-simplify]: Simplify n into n 0.600 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.600 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.600 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.600 * [taylor]: Taking taylor expansion of n in f 0.600 * [backup-simplify]: Simplify n into n 0.600 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.600 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.600 * [taylor]: Taking taylor expansion of f in f 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (/ 1 1) into 1 0.601 * [backup-simplify]: Simplify (+ 1 0) into 1 0.601 * [backup-simplify]: Simplify (- 1) into -1 0.602 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.602 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.602 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.602 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.602 * [taylor]: Taking taylor expansion of f in f 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [backup-simplify]: Simplify (/ 1 1) into 1 0.603 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.603 * [taylor]: Taking taylor expansion of n in f 0.603 * [backup-simplify]: Simplify n into n 0.603 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.603 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.603 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.603 * [taylor]: Taking taylor expansion of n in f 0.603 * [backup-simplify]: Simplify n into n 0.603 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.603 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.603 * [taylor]: Taking taylor expansion of f in f 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [backup-simplify]: Simplify (/ 1 1) into 1 0.604 * [backup-simplify]: Simplify (+ 1 0) into 1 0.605 * [backup-simplify]: Simplify (- 1) into -1 0.605 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.606 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.606 * [taylor]: Taking taylor expansion of -1 in n 0.606 * [backup-simplify]: Simplify -1 into -1 0.606 * [backup-simplify]: Simplify -1 into -1 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (- 0) into 0 0.608 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.609 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.609 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.609 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.609 * [taylor]: Taking taylor expansion of 2 in n 0.609 * [backup-simplify]: Simplify 2 into 2 0.609 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.609 * [taylor]: Taking taylor expansion of n in n 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.610 * [backup-simplify]: Simplify (/ 1 1) into 1 0.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.612 * [backup-simplify]: Simplify (- 0) into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (- 0) into 0 0.616 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -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 0.618 * [backup-simplify]: Simplify (* 1 1) into 1 0.619 * [backup-simplify]: Simplify (/ 1 1) into 1 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.626 * [backup-simplify]: Simplify (- 0) into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (- 0) into 0 0.628 * [backup-simplify]: Simplify (+ 0 0) into 0 0.630 * [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)))) 0.630 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.630 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.630 * [taylor]: Taking taylor expansion of 2 in n 0.630 * [backup-simplify]: Simplify 2 into 2 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.630 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.630 * [taylor]: Taking taylor expansion of n in n 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (* 1 1) into 1 0.630 * [backup-simplify]: Simplify (* 1 1) into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (- 0) into 0 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify -1 into -1 0.637 * * * [progress]: simplifying candidates 0.637 * * * * [progress]: [ 1 / 99 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))> 0.637 * * * * [progress]: [ 2 / 99 ] simplifiying candidate # 0.637 * * * * [progress]: [ 3 / 99 ] simplifiying candidate # 0.637 * * * * [progress]: [ 4 / 99 ] simplifiying candidate # 0.637 * * * * [progress]: [ 5 / 99 ] simplifiying candidate # 0.637 * * * * [progress]: [ 6 / 99 ] simplifiying candidate # 0.637 * * * * [progress]: [ 7 / 99 ] simplifiying candidate # 0.637 * * * * [progress]: [ 8 / 99 ] simplifiying candidate # 0.637 * * * * [progress]: [ 9 / 99 ] simplifiying candidate # 0.637 * * * * [progress]: [ 10 / 99 ] simplifiying candidate # 0.637 * * * * [progress]: [ 11 / 99 ] simplifiying candidate # 0.637 * * * * [progress]: [ 12 / 99 ] simplifiying candidate # 0.637 * * * * [progress]: [ 13 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 14 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 15 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 16 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 17 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 18 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 19 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 20 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 21 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 22 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 23 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 24 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 25 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 26 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 27 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 28 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 29 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 30 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 31 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 32 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 33 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 34 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 35 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 36 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 37 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 38 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 39 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 40 / 99 ] simplifiying candidate # 0.638 * * * * [progress]: [ 41 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 42 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 43 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 44 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 45 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 46 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 47 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 48 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 49 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 50 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 51 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 52 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 53 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 54 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 55 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 56 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 57 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 58 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 59 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 60 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 61 / 99 ] simplifiying candidate # 0.639 * * * * [progress]: [ 62 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 63 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 64 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 65 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 66 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 67 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 68 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 69 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 70 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 71 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 72 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 73 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 74 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 75 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 76 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 77 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 78 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 79 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 80 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 81 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 82 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 83 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 84 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 85 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 86 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 87 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 88 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 89 / 99 ] simplifiying candidate # 0.640 * * * * [progress]: [ 90 / 99 ] simplifiying candidate # 0.641 * * * * [progress]: [ 91 / 99 ] simplifiying candidate # 0.641 * * * * [progress]: [ 92 / 99 ] simplifiying candidate # 0.641 * * * * [progress]: [ 93 / 99 ] simplifiying candidate # 0.641 * * * * [progress]: [ 94 / 99 ] simplifiying candidate # 0.641 * * * * [progress]: [ 95 / 99 ] simplifiying candidate # 0.641 * * * * [progress]: [ 96 / 99 ] simplifiying candidate # 0.641 * * * * [progress]: [ 97 / 99 ] simplifiying candidate # 0.641 * * * * [progress]: [ 98 / 99 ] simplifiying candidate # 0.641 * * * * [progress]: [ 99 / 99 ] simplifiying candidate # 0.642 * [simplify]: Simplifying: (real->posit16 (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.644 * * [simplify]: iteration 0: 134 enodes 0.830 * * [simplify]: iteration 1: 312 enodes 1.177 * * [simplify]: iteration 2: 702 enodes 1.952 * * [simplify]: iteration 3: 2231 enodes 4.421 * * [simplify]: iteration complete: 5008 enodes 4.421 * * [simplify]: Extracting #0: cost 87 inf + 0 4.423 * * [simplify]: Extracting #1: cost 533 inf + 3 4.431 * * [simplify]: Extracting #2: cost 1106 inf + 10084 4.474 * * [simplify]: Extracting #3: cost 920 inf + 109420 4.518 * * [simplify]: Extracting #4: cost 377 inf + 226353 4.585 * * [simplify]: Extracting #5: cost 81 inf + 301968 4.671 * * [simplify]: Extracting #6: cost 41 inf + 317693 4.742 * * [simplify]: Extracting #7: cost 6 inf + 324338 4.820 * * [simplify]: Extracting #8: cost 0 inf + 325855 4.898 * [simplify]: Simplified to: (real->posit16 (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (exp (- (/ (+ n f) (- f n)))) (* (- (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n))))) (cbrt (- (/ (+ n f) (- f n)))) (* (- (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (sqrt (- (/ (+ n f) (- f n)))) (sqrt (- (/ (+ n f) (- f n)))) (+ n f) (- (- f n)) 0 (/ (+ n f) (- f n)) (* (/ (cbrt (- (- f) n)) (cbrt (- f n))) (/ (cbrt (- (- f) n)) (cbrt (- f n)))) (/ (cbrt (- (- f) n)) (cbrt (- f n))) (* (/ (cbrt (- (- f) n)) (sqrt (- f n))) (cbrt (- (- f) n))) (/ (cbrt (- (- f) n)) (sqrt (- f n))) (* (cbrt (- (- f) n)) (cbrt (- (- f) n))) (/ (cbrt (- (- f) n)) (- f n)) (/ (* (cbrt (- (- f) n)) (cbrt (- (- f) n))) (+ (sqrt 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))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (- f) n) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (sqrt (- f n))) (/ (cbrt (+ n f)) (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (- (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n)))) (/ (sqrt (+ n f)) (cbrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (- (/ (sqrt (+ n f)) (+ (sqrt f) (sqrt n)))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (- (cbrt (+ n f))) (cbrt (- f n))) (* (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (sqrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (- (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) (/ (sqrt (+ n f)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (- f) n) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (- f) n) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (- f n)) (/ (- f n) (- (- f) n)) (/ (+ n f) (- f n)) (- (/ (+ n f) (* (cbrt (- f n)) (cbrt (- f n))))) (- (/ (+ n f) (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) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (- f) n)) (/ (- f n) (- (- f) n)) (- (/ (+ n f) (- (* (* f f) f) (* n (* n n))))) (/ -1 (- f n)) (* (+ (* f f) (* n (- (- f n)))) (- f n)) (* (- f n) (- f n)) 1 -1 -1 4.903 * * * [progress]: adding candidates to table 5.704 * * [progress]: iteration 2 / 4 5.704 * * * [progress]: picking best candidate 5.759 * * * * [pick]: Picked # 5.759 * * * [progress]: localizing error 5.823 * * * [progress]: generating rewritten candidates 5.823 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 5.868 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.991 * * * [progress]: generating series expansions 5.991 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 5.992 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 5.992 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 5.992 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 5.992 * [taylor]: Taking taylor expansion of (- f n) in n 5.992 * [taylor]: Taking taylor expansion of f in n 5.992 * [backup-simplify]: Simplify f into f 5.992 * [taylor]: Taking taylor expansion of n in n 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify 1 into 1 5.992 * [taylor]: Taking taylor expansion of (+ n f) in n 5.992 * [taylor]: Taking taylor expansion of n in n 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify 1 into 1 5.992 * [taylor]: Taking taylor expansion of f in n 5.992 * [backup-simplify]: Simplify f into f 5.993 * [backup-simplify]: Simplify (- 0) into 0 5.993 * [backup-simplify]: Simplify (+ f 0) into f 5.993 * [backup-simplify]: Simplify (+ 0 f) into f 5.993 * [backup-simplify]: Simplify (/ f f) into 1 5.993 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 5.993 * [taylor]: Taking taylor expansion of (- f n) in f 5.993 * [taylor]: Taking taylor expansion of f in f 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify 1 into 1 5.993 * [taylor]: Taking taylor expansion of n in f 5.993 * [backup-simplify]: Simplify n into n 5.993 * [taylor]: Taking taylor expansion of (+ n f) in f 5.993 * [taylor]: Taking taylor expansion of n in f 5.993 * [backup-simplify]: Simplify n into n 5.993 * [taylor]: Taking taylor expansion of f in f 5.994 * [backup-simplify]: Simplify 0 into 0 5.994 * [backup-simplify]: Simplify 1 into 1 5.994 * [backup-simplify]: Simplify (- n) into (- n) 5.994 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.994 * [backup-simplify]: Simplify (+ n 0) into n 5.994 * [backup-simplify]: Simplify (/ (- n) n) into -1 5.994 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 5.994 * [taylor]: Taking taylor expansion of (- f n) in f 5.994 * [taylor]: Taking taylor expansion of f in f 5.994 * [backup-simplify]: Simplify 0 into 0 5.994 * [backup-simplify]: Simplify 1 into 1 5.994 * [taylor]: Taking taylor expansion of n in f 5.994 * [backup-simplify]: Simplify n into n 5.994 * [taylor]: Taking taylor expansion of (+ n f) in f 5.994 * [taylor]: Taking taylor expansion of n in f 5.994 * [backup-simplify]: Simplify n into n 5.994 * [taylor]: Taking taylor expansion of f in f 5.994 * [backup-simplify]: Simplify 0 into 0 5.994 * [backup-simplify]: Simplify 1 into 1 5.995 * [backup-simplify]: Simplify (- n) into (- n) 5.995 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.995 * [backup-simplify]: Simplify (+ n 0) into n 5.995 * [backup-simplify]: Simplify (/ (- n) n) into -1 5.995 * [taylor]: Taking taylor expansion of -1 in n 5.995 * [backup-simplify]: Simplify -1 into -1 5.995 * [backup-simplify]: Simplify -1 into -1 5.996 * [backup-simplify]: Simplify (- 0) into 0 5.996 * [backup-simplify]: Simplify (+ 1 0) into 1 5.997 * [backup-simplify]: Simplify (+ 0 1) into 1 5.997 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 5.997 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.997 * [taylor]: Taking taylor expansion of 2 in n 5.997 * [backup-simplify]: Simplify 2 into 2 5.997 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.997 * [taylor]: Taking taylor expansion of n in n 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify 1 into 1 5.998 * [backup-simplify]: Simplify (/ 1 1) into 1 5.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.999 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify (- 0) into 0 6.000 * [backup-simplify]: Simplify (+ 0 0) into 0 6.001 * [backup-simplify]: Simplify (+ 0 0) into 0 6.001 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 6.002 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.002 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.002 * [taylor]: Taking taylor expansion of 2 in n 6.002 * [backup-simplify]: Simplify 2 into 2 6.002 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.002 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.002 * [taylor]: Taking taylor expansion of n in n 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 1 into 1 6.002 * [backup-simplify]: Simplify (* 1 1) into 1 6.003 * [backup-simplify]: Simplify (/ 1 1) into 1 6.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.006 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.006 * [backup-simplify]: Simplify (- 0) into 0 6.006 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.007 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.008 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify (- 0) into 0 6.008 * [backup-simplify]: Simplify (+ 0 0) into 0 6.008 * [backup-simplify]: Simplify (+ 0 0) into 0 6.009 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 6.009 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.009 * [taylor]: Taking taylor expansion of 2 in n 6.009 * [backup-simplify]: Simplify 2 into 2 6.009 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.009 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.009 * [taylor]: Taking taylor expansion of n in n 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify 1 into 1 6.010 * [backup-simplify]: Simplify (* 1 1) into 1 6.010 * [backup-simplify]: Simplify (* 1 1) into 1 6.010 * [backup-simplify]: Simplify (/ 1 1) into 1 6.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.016 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.016 * [backup-simplify]: Simplify 0 into 0 6.016 * [backup-simplify]: Simplify -1 into -1 6.017 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 6.017 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 6.017 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 6.017 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.017 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.017 * [taylor]: Taking taylor expansion of f in n 6.017 * [backup-simplify]: Simplify f into f 6.017 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.017 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.017 * [taylor]: Taking taylor expansion of n in n 6.017 * [backup-simplify]: Simplify 0 into 0 6.017 * [backup-simplify]: Simplify 1 into 1 6.017 * [backup-simplify]: Simplify (/ 1 1) into 1 6.017 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.017 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.017 * [taylor]: Taking taylor expansion of f in n 6.017 * [backup-simplify]: Simplify f into f 6.017 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.017 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.017 * [taylor]: Taking taylor expansion of n in n 6.017 * [backup-simplify]: Simplify 0 into 0 6.017 * [backup-simplify]: Simplify 1 into 1 6.018 * [backup-simplify]: Simplify (/ 1 1) into 1 6.018 * [backup-simplify]: Simplify (- 1) into -1 6.018 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.018 * [backup-simplify]: Simplify (+ 0 1) into 1 6.019 * [backup-simplify]: Simplify (/ -1 1) into -1 6.019 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 6.019 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.019 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.019 * [taylor]: Taking taylor expansion of f in f 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify 1 into 1 6.019 * [backup-simplify]: Simplify (/ 1 1) into 1 6.019 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.019 * [taylor]: Taking taylor expansion of n in f 6.019 * [backup-simplify]: Simplify n into n 6.019 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.019 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.019 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.019 * [taylor]: Taking taylor expansion of f in f 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify 1 into 1 6.020 * [backup-simplify]: Simplify (/ 1 1) into 1 6.020 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.020 * [taylor]: Taking taylor expansion of n in f 6.020 * [backup-simplify]: Simplify n into n 6.020 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.020 * [backup-simplify]: Simplify (+ 1 0) into 1 6.020 * [backup-simplify]: Simplify (+ 1 0) into 1 6.021 * [backup-simplify]: Simplify (/ 1 1) into 1 6.021 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 6.021 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.021 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.021 * [taylor]: Taking taylor expansion of f in f 6.021 * [backup-simplify]: Simplify 0 into 0 6.021 * [backup-simplify]: Simplify 1 into 1 6.021 * [backup-simplify]: Simplify (/ 1 1) into 1 6.021 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.021 * [taylor]: Taking taylor expansion of n in f 6.021 * [backup-simplify]: Simplify n into n 6.021 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.021 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.021 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.021 * [taylor]: Taking taylor expansion of f in f 6.021 * [backup-simplify]: Simplify 0 into 0 6.021 * [backup-simplify]: Simplify 1 into 1 6.021 * [backup-simplify]: Simplify (/ 1 1) into 1 6.022 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.022 * [taylor]: Taking taylor expansion of n in f 6.022 * [backup-simplify]: Simplify n into n 6.022 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.022 * [backup-simplify]: Simplify (+ 1 0) into 1 6.022 * [backup-simplify]: Simplify (+ 1 0) into 1 6.022 * [backup-simplify]: Simplify (/ 1 1) into 1 6.022 * [taylor]: Taking taylor expansion of 1 in n 6.023 * [backup-simplify]: Simplify 1 into 1 6.023 * [backup-simplify]: Simplify 1 into 1 6.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.023 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.023 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.024 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.024 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 6.024 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.024 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.024 * [taylor]: Taking taylor expansion of 2 in n 6.024 * [backup-simplify]: Simplify 2 into 2 6.024 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.024 * [taylor]: Taking taylor expansion of n in n 6.024 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify 1 into 1 6.024 * [backup-simplify]: Simplify (/ 1 1) into 1 6.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.025 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.026 * [backup-simplify]: Simplify (- 0) into 0 6.026 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.027 * [backup-simplify]: Simplify (- 0) into 0 6.027 * [backup-simplify]: Simplify (+ 0 0) into 0 6.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.028 * [backup-simplify]: Simplify (+ 0 0) into 0 6.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 6.029 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.029 * [taylor]: Taking taylor expansion of 2 in n 6.029 * [backup-simplify]: Simplify 2 into 2 6.029 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.029 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.029 * [taylor]: Taking taylor expansion of n in n 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify 1 into 1 6.029 * [backup-simplify]: Simplify (* 1 1) into 1 6.030 * [backup-simplify]: Simplify (/ 1 1) into 1 6.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.032 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.032 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.034 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.035 * [backup-simplify]: Simplify (- 0) into 0 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.037 * [backup-simplify]: Simplify (- 0) into 0 6.037 * [backup-simplify]: Simplify (+ 0 0) into 0 6.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.039 * [backup-simplify]: Simplify (+ 0 0) into 0 6.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.042 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.042 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.042 * [taylor]: Taking taylor expansion of 2 in n 6.043 * [backup-simplify]: Simplify 2 into 2 6.043 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.043 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.043 * [taylor]: Taking taylor expansion of n in n 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [backup-simplify]: Simplify (* 1 1) into 1 6.043 * [backup-simplify]: Simplify (* 1 1) into 1 6.044 * [backup-simplify]: Simplify (/ 1 1) into 1 6.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.054 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.054 * [backup-simplify]: Simplify (- 0) into 0 6.054 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify 1 into 1 6.055 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 6.055 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 6.055 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 6.055 * [taylor]: Taking taylor expansion of -1 in n 6.056 * [backup-simplify]: Simplify -1 into -1 6.056 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 6.056 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.056 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.056 * [taylor]: Taking taylor expansion of n in n 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify 1 into 1 6.056 * [backup-simplify]: Simplify (/ 1 1) into 1 6.056 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.056 * [taylor]: Taking taylor expansion of f in n 6.056 * [backup-simplify]: Simplify f into f 6.056 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.056 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.056 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.056 * [taylor]: Taking taylor expansion of f in n 6.056 * [backup-simplify]: Simplify f into f 6.057 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.057 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.057 * [taylor]: Taking taylor expansion of n in n 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify 1 into 1 6.057 * [backup-simplify]: Simplify (/ 1 1) into 1 6.058 * [backup-simplify]: Simplify (+ 1 0) into 1 6.058 * [backup-simplify]: Simplify (+ 0 1) into 1 6.058 * [backup-simplify]: Simplify (/ 1 1) into 1 6.058 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 6.058 * [taylor]: Taking taylor expansion of -1 in f 6.058 * [backup-simplify]: Simplify -1 into -1 6.059 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 6.059 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.059 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.059 * [taylor]: Taking taylor expansion of n in f 6.059 * [backup-simplify]: Simplify n into n 6.059 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.059 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.059 * [taylor]: Taking taylor expansion of f in f 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify 1 into 1 6.059 * [backup-simplify]: Simplify (/ 1 1) into 1 6.059 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.059 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.059 * [taylor]: Taking taylor expansion of f in f 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify 1 into 1 6.060 * [backup-simplify]: Simplify (/ 1 1) into 1 6.060 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.060 * [taylor]: Taking taylor expansion of n in f 6.060 * [backup-simplify]: Simplify n into n 6.060 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.060 * [backup-simplify]: Simplify (- 1) into -1 6.061 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.062 * [backup-simplify]: Simplify (+ 1 0) into 1 6.062 * [backup-simplify]: Simplify (/ -1 1) into -1 6.062 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 6.062 * [taylor]: Taking taylor expansion of -1 in f 6.062 * [backup-simplify]: Simplify -1 into -1 6.062 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 6.062 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.062 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.062 * [taylor]: Taking taylor expansion of n in f 6.062 * [backup-simplify]: Simplify n into n 6.063 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.063 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.063 * [taylor]: Taking taylor expansion of f in f 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 1 into 1 6.063 * [backup-simplify]: Simplify (/ 1 1) into 1 6.063 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.063 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.063 * [taylor]: Taking taylor expansion of f in f 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 1 into 1 6.064 * [backup-simplify]: Simplify (/ 1 1) into 1 6.064 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.064 * [taylor]: Taking taylor expansion of n in f 6.064 * [backup-simplify]: Simplify n into n 6.064 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.064 * [backup-simplify]: Simplify (- 1) into -1 6.065 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.065 * [backup-simplify]: Simplify (+ 1 0) into 1 6.066 * [backup-simplify]: Simplify (/ -1 1) into -1 6.066 * [backup-simplify]: Simplify (* -1 -1) into 1 6.066 * [taylor]: Taking taylor expansion of 1 in n 6.066 * [backup-simplify]: Simplify 1 into 1 6.066 * [backup-simplify]: Simplify 1 into 1 6.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.067 * [backup-simplify]: Simplify (- 0) into 0 6.068 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.069 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.069 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 6.070 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 6.070 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.070 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.070 * [taylor]: Taking taylor expansion of 2 in n 6.070 * [backup-simplify]: Simplify 2 into 2 6.070 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.070 * [taylor]: Taking taylor expansion of n in n 6.070 * [backup-simplify]: Simplify 0 into 0 6.070 * [backup-simplify]: Simplify 1 into 1 6.070 * [backup-simplify]: Simplify (/ 1 1) into 1 6.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.072 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.072 * [backup-simplify]: Simplify (- 0) into 0 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.074 * [backup-simplify]: Simplify (- 0) into 0 6.075 * [backup-simplify]: Simplify (+ 0 0) into 0 6.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.082 * [backup-simplify]: Simplify (+ 0 0) into 0 6.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.085 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.085 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.085 * [taylor]: Taking taylor expansion of 2 in n 6.085 * [backup-simplify]: Simplify 2 into 2 6.085 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.085 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.085 * [taylor]: Taking taylor expansion of n in n 6.086 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify 1 into 1 6.086 * [backup-simplify]: Simplify (* 1 1) into 1 6.086 * [backup-simplify]: Simplify (/ 1 1) into 1 6.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.091 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.091 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.093 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.093 * [backup-simplify]: Simplify (- 0) into 0 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.096 * [backup-simplify]: Simplify (- 0) into 0 6.096 * [backup-simplify]: Simplify (+ 0 0) into 0 6.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.098 * [backup-simplify]: Simplify (+ 0 0) into 0 6.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 6.103 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.103 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.103 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.103 * [taylor]: Taking taylor expansion of 2 in n 6.103 * [backup-simplify]: Simplify 2 into 2 6.103 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.103 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.103 * [taylor]: Taking taylor expansion of n in n 6.103 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify 1 into 1 6.104 * [backup-simplify]: Simplify (* 1 1) into 1 6.104 * [backup-simplify]: Simplify (* 1 1) into 1 6.105 * [backup-simplify]: Simplify (/ 1 1) into 1 6.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.115 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.116 * [backup-simplify]: Simplify (- 0) into 0 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 1 into 1 6.116 * * * * [progress]: [ 2 / 2 ] generating series at (2) 6.116 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 6.116 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.116 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.117 * [taylor]: Taking taylor expansion of -1 in n 6.117 * [backup-simplify]: Simplify -1 into -1 6.117 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.117 * [taylor]: Taking taylor expansion of (+ n f) in n 6.117 * [taylor]: Taking taylor expansion of n in n 6.117 * [backup-simplify]: Simplify 0 into 0 6.117 * [backup-simplify]: Simplify 1 into 1 6.117 * [taylor]: Taking taylor expansion of f in n 6.117 * [backup-simplify]: Simplify f into f 6.117 * [taylor]: Taking taylor expansion of (- f n) in n 6.117 * [taylor]: Taking taylor expansion of f in n 6.117 * [backup-simplify]: Simplify f into f 6.117 * [taylor]: Taking taylor expansion of n in n 6.117 * [backup-simplify]: Simplify 0 into 0 6.117 * [backup-simplify]: Simplify 1 into 1 6.117 * [backup-simplify]: Simplify (+ 0 f) into f 6.117 * [backup-simplify]: Simplify (- 0) into 0 6.118 * [backup-simplify]: Simplify (+ f 0) into f 6.118 * [backup-simplify]: Simplify (/ f f) into 1 6.118 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.118 * [taylor]: Taking taylor expansion of -1 in f 6.118 * [backup-simplify]: Simplify -1 into -1 6.118 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.118 * [taylor]: Taking taylor expansion of (+ n f) in f 6.118 * [taylor]: Taking taylor expansion of n in f 6.118 * [backup-simplify]: Simplify n into n 6.118 * [taylor]: Taking taylor expansion of f in f 6.118 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify 1 into 1 6.118 * [taylor]: Taking taylor expansion of (- f n) in f 6.118 * [taylor]: Taking taylor expansion of f in f 6.118 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify 1 into 1 6.118 * [taylor]: Taking taylor expansion of n in f 6.118 * [backup-simplify]: Simplify n into n 6.118 * [backup-simplify]: Simplify (+ n 0) into n 6.118 * [backup-simplify]: Simplify (- n) into (- n) 6.118 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.119 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.119 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.119 * [taylor]: Taking taylor expansion of -1 in f 6.119 * [backup-simplify]: Simplify -1 into -1 6.119 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.119 * [taylor]: Taking taylor expansion of (+ n f) in f 6.119 * [taylor]: Taking taylor expansion of n in f 6.119 * [backup-simplify]: Simplify n into n 6.119 * [taylor]: Taking taylor expansion of f in f 6.119 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify 1 into 1 6.119 * [taylor]: Taking taylor expansion of (- f n) in f 6.119 * [taylor]: Taking taylor expansion of f in f 6.119 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify 1 into 1 6.119 * [taylor]: Taking taylor expansion of n in f 6.119 * [backup-simplify]: Simplify n into n 6.119 * [backup-simplify]: Simplify (+ n 0) into n 6.119 * [backup-simplify]: Simplify (- n) into (- n) 6.119 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.120 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.120 * [backup-simplify]: Simplify (* -1 -1) into 1 6.120 * [taylor]: Taking taylor expansion of 1 in n 6.120 * [backup-simplify]: Simplify 1 into 1 6.120 * [backup-simplify]: Simplify 1 into 1 6.121 * [backup-simplify]: Simplify (+ 0 1) into 1 6.121 * [backup-simplify]: Simplify (- 0) into 0 6.122 * [backup-simplify]: Simplify (+ 1 0) into 1 6.122 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.123 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.123 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.123 * [taylor]: Taking taylor expansion of 2 in n 6.123 * [backup-simplify]: Simplify 2 into 2 6.123 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.123 * [taylor]: Taking taylor expansion of n in n 6.123 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify 1 into 1 6.123 * [backup-simplify]: Simplify (/ 1 1) into 1 6.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.125 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.125 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify (+ 0 0) into 0 6.126 * [backup-simplify]: Simplify (- 0) into 0 6.126 * [backup-simplify]: Simplify (+ 0 0) into 0 6.127 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.129 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.129 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.129 * [taylor]: Taking taylor expansion of 2 in n 6.129 * [backup-simplify]: Simplify 2 into 2 6.129 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.129 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.129 * [taylor]: Taking taylor expansion of n in n 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 1 into 1 6.130 * [backup-simplify]: Simplify (* 1 1) into 1 6.130 * [backup-simplify]: Simplify (/ 1 1) into 1 6.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.135 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.137 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify (+ 0 0) into 0 6.138 * [backup-simplify]: Simplify (- 0) into 0 6.138 * [backup-simplify]: Simplify (+ 0 0) into 0 6.140 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.143 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 6.143 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.143 * [taylor]: Taking taylor expansion of 2 in n 6.143 * [backup-simplify]: Simplify 2 into 2 6.143 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.143 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.143 * [taylor]: Taking taylor expansion of n in n 6.143 * [backup-simplify]: Simplify 0 into 0 6.143 * [backup-simplify]: Simplify 1 into 1 6.143 * [backup-simplify]: Simplify (* 1 1) into 1 6.144 * [backup-simplify]: Simplify (* 1 1) into 1 6.144 * [backup-simplify]: Simplify (/ 1 1) into 1 6.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.153 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify 1 into 1 6.154 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.154 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.154 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.154 * [taylor]: Taking taylor expansion of -1 in n 6.154 * [backup-simplify]: Simplify -1 into -1 6.154 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.154 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.154 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.154 * [taylor]: Taking taylor expansion of f in n 6.154 * [backup-simplify]: Simplify f into f 6.154 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.154 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.154 * [taylor]: Taking taylor expansion of n in n 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify 1 into 1 6.154 * [backup-simplify]: Simplify (/ 1 1) into 1 6.154 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.154 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.154 * [taylor]: Taking taylor expansion of f in n 6.154 * [backup-simplify]: Simplify f into f 6.155 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.155 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.155 * [taylor]: Taking taylor expansion of n in n 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.155 * [backup-simplify]: Simplify (/ 1 1) into 1 6.155 * [backup-simplify]: Simplify (+ 0 1) into 1 6.155 * [backup-simplify]: Simplify (- 1) into -1 6.156 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.156 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.156 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.156 * [taylor]: Taking taylor expansion of -1 in f 6.156 * [backup-simplify]: Simplify -1 into -1 6.156 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.156 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.156 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.156 * [taylor]: Taking taylor expansion of f in f 6.156 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify 1 into 1 6.156 * [backup-simplify]: Simplify (/ 1 1) into 1 6.156 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.156 * [taylor]: Taking taylor expansion of n in f 6.156 * [backup-simplify]: Simplify n into n 6.156 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.156 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.156 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.157 * [taylor]: Taking taylor expansion of f in f 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 1 into 1 6.157 * [backup-simplify]: Simplify (/ 1 1) into 1 6.157 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.157 * [taylor]: Taking taylor expansion of n in f 6.157 * [backup-simplify]: Simplify n into n 6.157 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.157 * [backup-simplify]: Simplify (+ 1 0) into 1 6.157 * [backup-simplify]: Simplify (+ 1 0) into 1 6.158 * [backup-simplify]: Simplify (/ 1 1) into 1 6.158 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.158 * [taylor]: Taking taylor expansion of -1 in f 6.158 * [backup-simplify]: Simplify -1 into -1 6.158 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.158 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.158 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.158 * [taylor]: Taking taylor expansion of f in f 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 1 into 1 6.158 * [backup-simplify]: Simplify (/ 1 1) into 1 6.158 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.158 * [taylor]: Taking taylor expansion of n in f 6.158 * [backup-simplify]: Simplify n into n 6.158 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.158 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.158 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.158 * [taylor]: Taking taylor expansion of f in f 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 1 into 1 6.159 * [backup-simplify]: Simplify (/ 1 1) into 1 6.159 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.159 * [taylor]: Taking taylor expansion of n in f 6.159 * [backup-simplify]: Simplify n into n 6.159 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.159 * [backup-simplify]: Simplify (+ 1 0) into 1 6.159 * [backup-simplify]: Simplify (+ 1 0) into 1 6.160 * [backup-simplify]: Simplify (/ 1 1) into 1 6.160 * [backup-simplify]: Simplify (* -1 1) into -1 6.160 * [taylor]: Taking taylor expansion of -1 in n 6.160 * [backup-simplify]: Simplify -1 into -1 6.160 * [backup-simplify]: Simplify -1 into -1 6.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.161 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.161 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.161 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.162 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.162 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.162 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.162 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.162 * [taylor]: Taking taylor expansion of 2 in n 6.162 * [backup-simplify]: Simplify 2 into 2 6.162 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.162 * [taylor]: Taking taylor expansion of n in n 6.162 * [backup-simplify]: Simplify 0 into 0 6.162 * [backup-simplify]: Simplify 1 into 1 6.162 * [backup-simplify]: Simplify (/ 1 1) into 1 6.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.163 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.164 * [backup-simplify]: Simplify (- 0) into 0 6.164 * [backup-simplify]: Simplify 0 into 0 6.164 * [backup-simplify]: Simplify 0 into 0 6.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.165 * [backup-simplify]: Simplify (+ 0 0) into 0 6.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.166 * [backup-simplify]: Simplify (- 0) into 0 6.166 * [backup-simplify]: Simplify (+ 0 0) into 0 6.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.168 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.168 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.168 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.168 * [taylor]: Taking taylor expansion of 2 in n 6.168 * [backup-simplify]: Simplify 2 into 2 6.168 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.168 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.168 * [taylor]: Taking taylor expansion of n in n 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify 1 into 1 6.168 * [backup-simplify]: Simplify (* 1 1) into 1 6.168 * [backup-simplify]: Simplify (/ 1 1) into 1 6.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.171 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.171 * [backup-simplify]: Simplify (- 0) into 0 6.171 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.173 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.173 * [backup-simplify]: Simplify (- 0) into 0 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.174 * [backup-simplify]: Simplify (+ 0 0) into 0 6.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.175 * [backup-simplify]: Simplify (- 0) into 0 6.176 * [backup-simplify]: Simplify (+ 0 0) into 0 6.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 6.178 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.178 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.178 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.178 * [taylor]: Taking taylor expansion of 2 in n 6.178 * [backup-simplify]: Simplify 2 into 2 6.178 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.178 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.178 * [taylor]: Taking taylor expansion of n in n 6.178 * [backup-simplify]: Simplify 0 into 0 6.178 * [backup-simplify]: Simplify 1 into 1 6.179 * [backup-simplify]: Simplify (* 1 1) into 1 6.179 * [backup-simplify]: Simplify (* 1 1) into 1 6.179 * [backup-simplify]: Simplify (/ 1 1) into 1 6.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.188 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.189 * [backup-simplify]: Simplify (- 0) into 0 6.189 * [backup-simplify]: Simplify 0 into 0 6.189 * [backup-simplify]: Simplify -1 into -1 6.190 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.190 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.190 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.190 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.190 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.190 * [taylor]: Taking taylor expansion of f in n 6.190 * [backup-simplify]: Simplify f into f 6.190 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.190 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.190 * [taylor]: Taking taylor expansion of n in n 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify 1 into 1 6.191 * [backup-simplify]: Simplify (/ 1 1) into 1 6.191 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.191 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.191 * [taylor]: Taking taylor expansion of n in n 6.191 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify 1 into 1 6.191 * [backup-simplify]: Simplify (/ 1 1) into 1 6.191 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.191 * [taylor]: Taking taylor expansion of f in n 6.191 * [backup-simplify]: Simplify f into f 6.192 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.192 * [backup-simplify]: Simplify (+ 0 1) into 1 6.192 * [backup-simplify]: Simplify (+ 1 0) into 1 6.193 * [backup-simplify]: Simplify (/ 1 1) into 1 6.193 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.193 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.193 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.193 * [taylor]: Taking taylor expansion of f in f 6.193 * [backup-simplify]: Simplify 0 into 0 6.193 * [backup-simplify]: Simplify 1 into 1 6.194 * [backup-simplify]: Simplify (/ 1 1) into 1 6.194 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.194 * [taylor]: Taking taylor expansion of n in f 6.194 * [backup-simplify]: Simplify n into n 6.194 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.194 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.194 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.194 * [taylor]: Taking taylor expansion of n in f 6.194 * [backup-simplify]: Simplify n into n 6.194 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.194 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.194 * [taylor]: Taking taylor expansion of f in f 6.194 * [backup-simplify]: Simplify 0 into 0 6.194 * [backup-simplify]: Simplify 1 into 1 6.195 * [backup-simplify]: Simplify (/ 1 1) into 1 6.195 * [backup-simplify]: Simplify (+ 1 0) into 1 6.195 * [backup-simplify]: Simplify (- 1) into -1 6.196 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.196 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.196 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.196 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.196 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.196 * [taylor]: Taking taylor expansion of f in f 6.196 * [backup-simplify]: Simplify 0 into 0 6.196 * [backup-simplify]: Simplify 1 into 1 6.197 * [backup-simplify]: Simplify (/ 1 1) into 1 6.197 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.197 * [taylor]: Taking taylor expansion of n in f 6.197 * [backup-simplify]: Simplify n into n 6.197 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.197 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.197 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.197 * [taylor]: Taking taylor expansion of n in f 6.197 * [backup-simplify]: Simplify n into n 6.197 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.197 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.197 * [taylor]: Taking taylor expansion of f in f 6.197 * [backup-simplify]: Simplify 0 into 0 6.197 * [backup-simplify]: Simplify 1 into 1 6.197 * [backup-simplify]: Simplify (/ 1 1) into 1 6.198 * [backup-simplify]: Simplify (+ 1 0) into 1 6.198 * [backup-simplify]: Simplify (- 1) into -1 6.198 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.198 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.198 * [taylor]: Taking taylor expansion of -1 in n 6.198 * [backup-simplify]: Simplify -1 into -1 6.199 * [backup-simplify]: Simplify -1 into -1 6.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.199 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.200 * [backup-simplify]: Simplify (- 0) into 0 6.200 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.200 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.200 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.200 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.200 * [taylor]: Taking taylor expansion of 2 in n 6.200 * [backup-simplify]: Simplify 2 into 2 6.200 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.200 * [taylor]: Taking taylor expansion of n in n 6.200 * [backup-simplify]: Simplify 0 into 0 6.200 * [backup-simplify]: Simplify 1 into 1 6.201 * [backup-simplify]: Simplify (/ 1 1) into 1 6.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.201 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.202 * [backup-simplify]: Simplify (- 0) into 0 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.203 * [backup-simplify]: Simplify (+ 0 0) into 0 6.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.204 * [backup-simplify]: Simplify (- 0) into 0 6.204 * [backup-simplify]: Simplify (+ 0 0) into 0 6.205 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.205 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.205 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.205 * [taylor]: Taking taylor expansion of 2 in n 6.205 * [backup-simplify]: Simplify 2 into 2 6.205 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.205 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.205 * [taylor]: Taking taylor expansion of n in n 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify 1 into 1 6.206 * [backup-simplify]: Simplify (* 1 1) into 1 6.206 * [backup-simplify]: Simplify (/ 1 1) into 1 6.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.209 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.209 * [backup-simplify]: Simplify (- 0) into 0 6.209 * [backup-simplify]: Simplify 0 into 0 6.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.213 * [backup-simplify]: Simplify (- 0) into 0 6.213 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.215 * [backup-simplify]: Simplify (+ 0 0) into 0 6.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.216 * [backup-simplify]: Simplify (- 0) into 0 6.216 * [backup-simplify]: Simplify (+ 0 0) into 0 6.218 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.218 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.218 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.218 * [taylor]: Taking taylor expansion of 2 in n 6.218 * [backup-simplify]: Simplify 2 into 2 6.218 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.218 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.218 * [taylor]: Taking taylor expansion of n in n 6.218 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify 1 into 1 6.218 * [backup-simplify]: Simplify (* 1 1) into 1 6.219 * [backup-simplify]: Simplify (* 1 1) into 1 6.219 * [backup-simplify]: Simplify (/ 1 1) into 1 6.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.225 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.225 * [backup-simplify]: Simplify (- 0) into 0 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify -1 into -1 6.225 * * * [progress]: simplifying candidates 6.225 * * * * [progress]: [ 1 / 176 ] simplifiying candidate #real (real->posit16 (/ (- f n) (+ f n))))))> 6.225 * * * * [progress]: [ 2 / 176 ] simplifiying candidate # 6.225 * * * * [progress]: [ 3 / 176 ] simplifiying candidate # 6.225 * * * * [progress]: [ 4 / 176 ] simplifiying candidate # 6.226 * * * * [progress]: [ 5 / 176 ] simplifiying candidate # 6.226 * * * * [progress]: [ 6 / 176 ] simplifiying candidate # 6.226 * * * * [progress]: [ 7 / 176 ] simplifiying candidate # 6.226 * * * * [progress]: [ 8 / 176 ] simplifiying candidate # 6.226 * * * * [progress]: [ 9 / 176 ] simplifiying candidate # 6.226 * * * * [progress]: [ 10 / 176 ] simplifiying candidate # 6.226 * * * * [progress]: [ 11 / 176 ] simplifiying candidate # 6.226 * * * * [progress]: [ 12 / 176 ] simplifiying candidate # 6.226 * * * * [progress]: [ 13 / 176 ] simplifiying candidate # 6.226 * * * * [progress]: [ 14 / 176 ] simplifiying candidate # 6.226 * * * * [progress]: [ 15 / 176 ] simplifiying candidate # 6.226 * * * * [progress]: [ 16 / 176 ] simplifiying candidate # 6.226 * * * * [progress]: [ 17 / 176 ] simplifiying candidate # 6.226 * * * * [progress]: [ 18 / 176 ] simplifiying candidate # 6.226 * * * * [progress]: [ 19 / 176 ] simplifiying candidate # 6.227 * * * * [progress]: [ 20 / 176 ] simplifiying candidate # 6.227 * * * * [progress]: [ 21 / 176 ] simplifiying candidate # 6.227 * * * * [progress]: [ 22 / 176 ] simplifiying candidate # 6.227 * * * * [progress]: [ 23 / 176 ] simplifiying candidate # 6.227 * * * * [progress]: [ 24 / 176 ] 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[progress]: [ 40 / 176 ] simplifiying candidate # 6.228 * * * * [progress]: [ 41 / 176 ] simplifiying candidate # 6.228 * * * * [progress]: [ 42 / 176 ] simplifiying candidate # 6.228 * * * * [progress]: [ 43 / 176 ] simplifiying candidate # 6.228 * * * * [progress]: [ 44 / 176 ] simplifiying candidate # 6.228 * * * * [progress]: [ 45 / 176 ] simplifiying candidate # 6.228 * * * * [progress]: [ 46 / 176 ] simplifiying candidate # 6.228 * * * * [progress]: [ 47 / 176 ] simplifiying candidate # 6.228 * * * * [progress]: [ 48 / 176 ] simplifiying candidate #real (real->posit16 (/ -1 (/ (- f n) (+ f n))))))> 6.228 * * * * [progress]: [ 49 / 176 ] simplifiying candidate # 6.229 * * * * [progress]: [ 50 / 176 ] simplifiying candidate # 6.229 * * * * [progress]: [ 51 / 176 ] simplifiying candidate # 6.229 * * * * [progress]: [ 52 / 176 ] simplifiying candidate # 6.229 * * * * [progress]: [ 53 / 176 ] simplifiying candidate # 6.229 * * * * [progress]: [ 54 / 176 ] simplifiying candidate # 6.229 * * * * [progress]: [ 55 / 176 ] simplifiying candidate # 6.229 * * * * [progress]: [ 56 / 176 ] simplifiying candidate # 6.229 * * * * [progress]: [ 57 / 176 ] simplifiying candidate # 6.229 * * * * [progress]: [ 58 / 176 ] simplifiying candidate # 6.229 * * * * [progress]: [ 59 / 176 ] simplifiying candidate # 6.229 * * * * [progress]: [ 60 / 176 ] simplifiying candidate # 6.229 * * * * [progress]: [ 61 / 176 ] simplifiying candidate # 6.229 * * * * [progress]: [ 62 / 176 ] simplifiying candidate # 6.229 * * * * [progress]: [ 63 / 176 ] simplifiying candidate # 6.229 * * * * [progress]: [ 64 / 176 ] simplifiying candidate # 6.230 * * * * [progress]: [ 65 / 176 ] simplifiying candidate # 6.230 * * * * [progress]: [ 66 / 176 ] simplifiying candidate # 6.230 * * * * [progress]: [ 67 / 176 ] simplifiying candidate # 6.230 * * * * [progress]: [ 68 / 176 ] simplifiying candidate # 6.230 * * * * [progress]: [ 69 / 176 ] simplifiying candidate # 6.230 * * * * [progress]: [ 70 / 176 ] 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[progress]: [ 86 / 176 ] simplifiying candidate # 6.231 * * * * [progress]: [ 87 / 176 ] simplifiying candidate # 6.231 * * * * [progress]: [ 88 / 176 ] simplifiying candidate # 6.231 * * * * [progress]: [ 89 / 176 ] simplifiying candidate # 6.231 * * * * [progress]: [ 90 / 176 ] simplifiying candidate # 6.231 * * * * [progress]: [ 91 / 176 ] simplifiying candidate # 6.231 * * * * [progress]: [ 92 / 176 ] simplifiying candidate # 6.232 * * * * [progress]: [ 93 / 176 ] simplifiying candidate # 6.232 * * * * [progress]: [ 94 / 176 ] simplifiying candidate # 6.232 * * * * [progress]: [ 95 / 176 ] simplifiying candidate # 6.232 * * * * [progress]: [ 96 / 176 ] simplifiying candidate # 6.232 * * * * [progress]: [ 97 / 176 ] simplifiying candidate # 6.232 * * * * [progress]: [ 98 / 176 ] simplifiying candidate # 6.232 * * * * [progress]: [ 99 / 176 ] simplifiying candidate # 6.232 * * * * [progress]: [ 100 / 176 ] simplifiying candidate # 6.232 * * * * [progress]: [ 101 / 176 ] simplifiying candidate # 6.232 * * * * [progress]: [ 102 / 176 ] simplifiying candidate # 6.233 * * * * [progress]: [ 103 / 176 ] simplifiying candidate # 6.233 * * * * [progress]: [ 104 / 176 ] simplifiying candidate # 6.233 * * * * [progress]: [ 105 / 176 ] simplifiying candidate # 6.233 * * * * [progress]: [ 106 / 176 ] simplifiying candidate # 6.233 * * * * [progress]: [ 107 / 176 ] simplifiying candidate # 6.233 * * * * [progress]: [ 108 / 176 ] simplifiying candidate # 6.233 * * * * [progress]: [ 109 / 176 ] simplifiying candidate # 6.233 * * * * [progress]: [ 110 / 176 ] simplifiying candidate # 6.233 * * * * [progress]: [ 111 / 176 ] simplifiying candidate # 6.233 * * * * [progress]: [ 112 / 176 ] simplifiying candidate # 6.233 * * * * [progress]: [ 113 / 176 ] simplifiying candidate # 6.233 * * * * [progress]: [ 114 / 176 ] simplifiying candidate # 6.233 * * * * [progress]: [ 115 / 176 ] simplifiying candidate # 6.233 * * * * [progress]: [ 116 / 176 ] simplifiying candidate # 6.233 * * * * [progress]: [ 117 / 176 ] simplifiying candidate # 6.234 * * * * [progress]: [ 118 / 176 ] simplifiying candidate # 6.234 * * * * [progress]: [ 119 / 176 ] simplifiying candidate # 6.234 * * * * [progress]: [ 120 / 176 ] simplifiying candidate # 6.234 * * * * [progress]: [ 121 / 176 ] simplifiying candidate # 6.234 * * * * [progress]: [ 122 / 176 ] simplifiying candidate # 6.234 * * * * [progress]: [ 123 / 176 ] simplifiying candidate # 6.234 * * * * [progress]: [ 124 / 176 ] simplifiying candidate # 6.234 * * * * [progress]: [ 125 / 176 ] simplifiying candidate # 6.234 * * * * [progress]: [ 126 / 176 ] simplifiying candidate # 6.234 * * * * [progress]: [ 127 / 176 ] simplifiying candidate # 6.234 * * * * [progress]: [ 128 / 176 ] simplifiying candidate # 6.234 * * * * [progress]: [ 129 / 176 ] simplifiying candidate # 6.234 * * * * [progress]: [ 130 / 176 ] simplifiying candidate # 6.234 * * * * [progress]: [ 131 / 176 ] simplifiying candidate # 6.234 * * * * [progress]: [ 132 / 176 ] simplifiying candidate # 6.235 * * * * [progress]: [ 133 / 176 ] simplifiying candidate # 6.235 * * * * [progress]: [ 134 / 176 ] simplifiying candidate # 6.235 * * * * [progress]: [ 135 / 176 ] simplifiying candidate # 6.235 * * * * [progress]: [ 136 / 176 ] simplifiying candidate # 6.235 * * * * [progress]: [ 137 / 176 ] simplifiying candidate # 6.235 * * * * [progress]: [ 138 / 176 ] simplifiying candidate # 6.235 * * * * [progress]: [ 139 / 176 ] simplifiying candidate # 6.235 * * * * [progress]: [ 140 / 176 ] simplifiying candidate # 6.235 * * * * [progress]: [ 141 / 176 ] simplifiying candidate # 6.235 * * * * [progress]: [ 142 / 176 ] simplifiying candidate # 6.235 * * * * [progress]: [ 143 / 176 ] simplifiying candidate # 6.235 * * * * [progress]: [ 144 / 176 ] simplifiying candidate # 6.235 * * * * [progress]: [ 145 / 176 ] simplifiying candidate # 6.235 * * * * [progress]: [ 146 / 176 ] simplifiying candidate # 6.236 * * * * [progress]: [ 147 / 176 ] simplifiying candidate # 6.236 * * * * [progress]: [ 148 / 176 ] simplifiying candidate # 6.236 * * * * [progress]: [ 149 / 176 ] simplifiying candidate # 6.236 * * * * [progress]: [ 150 / 176 ] simplifiying candidate # 6.236 * * * * [progress]: [ 151 / 176 ] simplifiying candidate # 6.236 * * * * [progress]: [ 152 / 176 ] simplifiying candidate # 6.236 * * * * [progress]: [ 153 / 176 ] simplifiying candidate # 6.236 * * * * [progress]: [ 154 / 176 ] simplifiying candidate # 6.236 * * * * [progress]: [ 155 / 176 ] simplifiying candidate # 6.236 * * * * [progress]: [ 156 / 176 ] simplifiying candidate # 6.236 * * * * [progress]: [ 157 / 176 ] simplifiying candidate # 6.236 * * * * [progress]: [ 158 / 176 ] simplifiying candidate # 6.236 * * * * [progress]: [ 159 / 176 ] simplifiying candidate # 6.236 * * * * [progress]: [ 160 / 176 ] simplifiying candidate # 6.236 * * * * [progress]: [ 161 / 176 ] simplifiying candidate # 6.237 * * * * [progress]: [ 162 / 176 ] simplifiying candidate # 6.237 * * * * [progress]: [ 163 / 176 ] simplifiying candidate # 6.237 * * * * [progress]: [ 164 / 176 ] simplifiying candidate # 6.237 * * * * [progress]: [ 165 / 176 ] simplifiying candidate # 6.237 * * * * [progress]: [ 166 / 176 ] simplifiying candidate # 6.237 * * * * [progress]: [ 167 / 176 ] simplifiying candidate # 6.237 * * * * [progress]: [ 168 / 176 ] simplifiying candidate # 6.237 * * * * [progress]: [ 169 / 176 ] simplifiying candidate # 6.237 * * * * [progress]: [ 170 / 176 ] simplifiying candidate # 6.237 * * * * [progress]: [ 171 / 176 ] simplifiying candidate # 6.237 * * * * [progress]: [ 172 / 176 ] simplifiying candidate # 6.237 * * * * [progress]: [ 173 / 176 ] simplifiying candidate # 6.237 * * * * [progress]: [ 174 / 176 ] simplifiying candidate # 6.237 * * * * [progress]: [ 175 / 176 ] simplifiying candidate # 6.237 * * * * [progress]: [ 176 / 176 ] simplifiying candidate # 6.241 * [simplify]: Simplifying: (real->posit16 (/ (- f n) (+ f n))) (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (real->posit16 (/ -1 (/ (- f n) (+ f n)))) (- (log -1) (- (log (- f n)) (log (+ f n)))) (- (log -1) (log (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (exp (/ -1 (/ (- f n) (+ f n)))) (/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* -1 -1) -1) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n)))) (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (- -1) (- (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (cbrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (cbrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (- f n)) (/ (cbrt -1) (/ 1 (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (cbrt -1) (+ (* f f) (- (* n n) (* f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n)))) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (sqrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (sqrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (sqrt -1) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) 1)) (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (sqrt -1) (/ (sqrt (- f n)) 1)) (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (sqrt -1) (/ 1 (sqrt (+ f n)))) (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (sqrt -1) (/ 1 (sqrt (+ f n)))) (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) 1) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (/ 1 (+ f n))) (/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (sqrt -1) (+ (* f f) (- (* n n) (* f n)))) (/ (sqrt -1) (/ (- f n) (- (* f f) (* n n)))) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ -1 (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ 1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ 1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ 1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ (- f n) (sqrt (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ (- f n) (sqrt (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 1) (/ -1 (/ (- f n) (+ f n))) (/ 1 (- f n)) (/ -1 (/ 1 (+ f n))) (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (+ (* f f) (- (* n n) (* f n)))) (/ 1 (/ (- f n) (- (* f f) (* n n)))) (/ -1 (- f n)) (/ 1 (/ (- f n) (+ f n))) (/ (/ (- f n) (+ f n)) -1) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 1) (/ -1 (- f n)) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (/ -1 (- f n)) -1 1 1 1 -1 -1 6.249 * * [simplify]: iteration 0: 221 enodes 6.536 * * [simplify]: iteration 1: 598 enodes 7.365 * * [simplify]: iteration 2: 1981 enodes 9.578 * * [simplify]: iteration complete: 5002 enodes 9.578 * * [simplify]: Extracting #0: cost 168 inf + 0 9.580 * * [simplify]: Extracting #1: cost 1146 inf + 43 9.586 * * [simplify]: Extracting #2: cost 1880 inf + 7604 9.604 * * [simplify]: Extracting #3: cost 1650 inf + 99970 9.668 * * [simplify]: Extracting #4: cost 364 inf + 353352 9.793 * * [simplify]: Extracting #5: cost 23 inf + 428818 9.861 * * [simplify]: Extracting #6: cost 18 inf + 430382 9.995 * * [simplify]: Extracting #7: cost 4 inf + 432227 10.102 * * [simplify]: Extracting #8: cost 0 inf + 433239 10.213 * [simplify]: Simplified to: (real->posit16 (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (exp (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (sqrt (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (- (- f n)) (- (+ n f)) (/ f (+ n f)) (/ n (+ n f)) (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (- f n)) (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f)) (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt (- f n)) (cbrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f))) (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f)) (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f)) (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f))) (/ (- f n) (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f))) 1 (/ (- f n) (+ n f)) 1 (/ (- f n) (+ n f)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ n f))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ n f))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ n f))) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (+ n f)) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (+ n f)) (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f))) (/ (- f n) (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f))) 1 (/ (- f n) (+ n f)) 1 (/ (- f n) (+ n f)) (/ 1 (+ n f)) (/ (+ n f) (- f n)) (/ (- f n) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (sqrt (+ n f))) (- f n) (- f n) (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (- f n)) (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (+ n f) (- f n)) (/ (- f n) (+ (* (* n n) n) (* f (* f f)))) (/ (- f n) (* (+ n f) (- f n))) (+ (* (* f f) (+ n f)) (* (* (+ n f) n) (+ n f))) (* (+ n f) (+ n f)) (real->posit16 (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (* (/ (- (+ n f)) (- f n)) (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n)))) (* (/ (- (+ n f)) (- f n)) (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n)))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (* (/ (- (+ n f)) (- f n)) (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n)))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) 1 (- (/ (- f n) (+ n f))) (* (/ (cbrt -1) (cbrt (/ (- f n) (+ n f)))) (/ (cbrt -1) (cbrt (/ (- f n) (+ n f))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ n f)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ n f)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ n f)))) (* (* (/ (cbrt -1) (cbrt (- f n))) (cbrt (+ n f))) (* (/ (cbrt -1) (cbrt (- f n))) (cbrt (+ n f)))) (* (/ (cbrt -1) (cbrt (- f n))) (cbrt (+ n f))) (* (* (/ (cbrt -1) (cbrt (- f n))) (sqrt (+ n f))) (/ (cbrt -1) (cbrt (- f n)))) (* (/ (cbrt -1) (cbrt (- f n))) (sqrt (+ n f))) (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n)))) (/ (* (cbrt -1) (+ n f)) (cbrt (- f n))) (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n)))) (/ (* (cbrt -1) (+ n f)) (cbrt (- f n))) (/ (cbrt -1) (/ (/ (sqrt (- f n)) (cbrt (+ n f))) (* (cbrt -1) (cbrt (+ n f))))) (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt (+ n f)))) (/ (* (* (cbrt -1) (cbrt -1)) (sqrt (+ n f))) (sqrt (- f n))) (/ (* (cbrt -1) (sqrt (+ n f))) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (* (+ n f) (/ (cbrt -1) (sqrt (- f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (* (+ n f) (/ (cbrt -1) (sqrt (- f n)))) (* (* (* (cbrt -1) (cbrt -1)) (cbrt (+ n f))) (cbrt (+ n f))) (/ (cbrt -1) (/ (- f n) (cbrt (+ n f)))) (* (* (cbrt -1) (cbrt -1)) (sqrt (+ n f))) (* (sqrt (+ n f)) (/ (cbrt -1) (- f n))) (* (cbrt -1) (cbrt -1)) (* (/ (cbrt -1) (- f n)) (+ n f)) (* (cbrt -1) (cbrt -1)) (* (/ (cbrt -1) (- f n)) (+ n f)) (/ (* (* (* (cbrt -1) (cbrt -1)) (cbrt (+ n f))) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (* (/ (cbrt -1) (- (sqrt f) (sqrt n))) (cbrt (+ n f))) (/ (* (* (cbrt -1) (cbrt -1)) (sqrt (+ n f))) (+ (sqrt f) (sqrt n))) (* (sqrt (+ n f)) (/ (cbrt -1) (- (sqrt f) (sqrt n)))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (* (cbrt -1) (+ n f)) (- (sqrt f) (sqrt n))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (* (cbrt -1) (+ n f)) (- (sqrt f) (sqrt n))) (* (* (* (cbrt -1) (cbrt -1)) (cbrt (+ n f))) (cbrt (+ n f))) (/ (cbrt -1) (/ (- f n) (cbrt (+ n f)))) (* (* (cbrt -1) (cbrt -1)) (sqrt (+ n f))) (* (sqrt (+ n f)) (/ (cbrt -1) (- f n))) (* (cbrt -1) (cbrt -1)) (* (/ (cbrt -1) (- f n)) (+ n f)) (* (cbrt -1) (cbrt -1)) (* (/ (cbrt -1) (- f n)) (+ n f)) (* (cbrt -1) (cbrt -1)) (* (/ (cbrt -1) (- f n)) (+ n f)) (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ n f) (cbrt -1)) (/ (* (* (cbrt -1) (cbrt -1)) (+ (* (* n n) n) (* f (* f f)))) (- f n)) (/ (cbrt -1) (+ (* f f) (* n (- n f)))) (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (* (+ n f) (- f n)))) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ (sqrt -1) (cbrt (/ (- f n) (+ n f)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ n f)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ n f)))) (/ (/ (sqrt -1) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (* (sqrt -1) (cbrt (+ n f))) (cbrt (- f n))) (/ (* (sqrt (+ n f)) (sqrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (/ (sqrt -1) (cbrt (- f n))) (sqrt (+ n f))) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (sqrt -1) (+ n f)) (cbrt (- f n))) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (sqrt -1) (+ n f)) (cbrt (- f n))) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (sqrt -1) (sqrt (- f n)))) (/ (* (sqrt -1) (cbrt (+ n f))) (sqrt (- f n))) (* (sqrt (+ n f)) (/ (sqrt -1) (sqrt (- f n)))) (* (sqrt (+ n f)) (/ (sqrt -1) (sqrt (- f n)))) (/ (sqrt -1) (sqrt (- f n))) (/ (* (sqrt -1) (+ n f)) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (* (sqrt -1) (+ n f)) (sqrt (- f n))) (* (* (sqrt -1) (cbrt (+ n f))) (cbrt (+ n f))) (* (/ (sqrt -1) (- f n)) (cbrt (+ n f))) (* (sqrt (+ n f)) (sqrt -1)) (* (sqrt (+ n f)) (/ (sqrt -1) (- f n))) (sqrt -1) (/ (* (sqrt -1) (+ n f)) (- f n)) (sqrt -1) (/ (* (sqrt -1) (+ n f)) (- f n)) (/ (* (* (sqrt -1) (cbrt (+ n f))) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (* (sqrt -1) (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (/ (* (sqrt (+ n f)) (sqrt -1)) (+ (sqrt f) (sqrt n))) (/ (* (sqrt (+ n f)) (sqrt -1)) (- (sqrt f) (sqrt n))) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ n f)) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ n f)) (* (* (sqrt -1) (cbrt (+ n f))) (cbrt (+ n f))) (* (/ (sqrt -1) (- f n)) (cbrt (+ n f))) (* (sqrt (+ n f)) (sqrt -1)) (* (sqrt (+ n f)) (/ (sqrt -1) (- f n))) (sqrt -1) (/ (* (sqrt -1) (+ n f)) (- f n)) (sqrt -1) (/ (* (sqrt -1) (+ n f)) (- f n)) (sqrt -1) (/ (* (sqrt -1) (+ n f)) (- f n)) (/ (sqrt -1) (- f n)) (* (sqrt -1) (+ n f)) (/ (* (sqrt -1) (+ (* (* n n) n) (* f (* f f)))) (- f n)) (/ (sqrt -1) (+ (* f f) (* n (- n f)))) (* (* (+ n f) (- f n)) (/ (sqrt -1) (- f n))) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (cbrt (/ (- f n) (+ n f)))) (/ 1 (sqrt (/ (- f n) (+ n f)))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (* (/ (- (cbrt (+ n f))) (cbrt (- f n))) (/ (- (cbrt (+ n f))) (cbrt (- f n)))) (/ (- (cbrt (+ n f))) (cbrt (- f n))) (/ 1 (/ (cbrt (- f n)) (/ (sqrt (+ n f)) (cbrt (- f n))))) (/ (- (sqrt (+ n f))) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (cbrt (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) (/ (- (cbrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) 1 (/ (- (+ n f)) (- f n)) 1 (/ (- (+ n f)) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ n f)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) 1 (/ (- (+ n f)) (- f n)) 1 (/ (- (+ n f)) (- f n)) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (- (+ n f)) (/ (+ (* (* n n) n) (* f (* f f))) (- f n)) (/ -1 (+ (* f f) (* n (- n f)))) (/ (* (+ n f) (- f n)) (- f n)) (/ -1 (- f n)) (/ (+ n f) (- f n)) (/ (- f n) (- (+ n f))) (/ -1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (/ -1 (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f))))) (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (* (- (cbrt (+ n f))) (cbrt (+ n f))) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (- (sqrt (+ n f))) -1 -1 (/ (* (- (cbrt (+ n f))) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (- (sqrt (+ n f))) -1 -1 -1 (/ -1 (- f n)) (/ (- (+ (* (* n n) n) (* f (* f f)))) (- f n)) (/ (- (* (+ n f) (- f n))) (- f n)) (/ (- f n) (* (+ n f) (cbrt -1))) (/ (/ (- f n) (sqrt -1)) (+ n f)) (/ (- f n) (- (+ n f))) (/ -1 (- f n)) -1 1 1 1 -1 -1 10.236 * * * [progress]: adding candidates to table 11.517 * * [progress]: iteration 3 / 4 11.517 * * * [progress]: picking best candidate 11.545 * * * * [pick]: Picked # 11.545 * * * [progress]: localizing error 11.613 * * * [progress]: generating rewritten candidates 11.613 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 11.839 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 11.862 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 11.904 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 12.166 * * * [progress]: generating series expansions 12.166 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 12.166 * [backup-simplify]: Simplify (- (/ f (+ f n)) (/ n (+ f n))) into (- (/ f (+ n f)) (/ n (+ n f))) 12.166 * [approximate]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 12.166 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 12.166 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 12.166 * [taylor]: Taking taylor expansion of f in n 12.166 * [backup-simplify]: Simplify f into f 12.166 * [taylor]: Taking taylor expansion of (+ n f) in n 12.166 * [taylor]: Taking taylor expansion of n in n 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify 1 into 1 12.167 * [taylor]: Taking taylor expansion of f in n 12.167 * [backup-simplify]: Simplify f into f 12.167 * [backup-simplify]: Simplify (+ 0 f) into f 12.167 * [backup-simplify]: Simplify (/ f f) into 1 12.167 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 12.167 * [taylor]: Taking taylor expansion of n in n 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify 1 into 1 12.167 * [taylor]: Taking taylor expansion of (+ n f) in n 12.167 * [taylor]: Taking taylor expansion of n in n 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify 1 into 1 12.167 * [taylor]: Taking taylor expansion of f in n 12.167 * [backup-simplify]: Simplify f into f 12.167 * [backup-simplify]: Simplify (+ 0 f) into f 12.167 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.167 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 12.167 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 12.167 * [taylor]: Taking taylor expansion of f in f 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify 1 into 1 12.167 * [taylor]: Taking taylor expansion of (+ n f) in f 12.167 * [taylor]: Taking taylor expansion of n in f 12.167 * [backup-simplify]: Simplify n into n 12.167 * [taylor]: Taking taylor expansion of f in f 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify 1 into 1 12.167 * [backup-simplify]: Simplify (+ n 0) into n 12.167 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.167 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 12.167 * [taylor]: Taking taylor expansion of n in f 12.167 * [backup-simplify]: Simplify n into n 12.167 * [taylor]: Taking taylor expansion of (+ n f) in f 12.167 * [taylor]: Taking taylor expansion of n in f 12.167 * [backup-simplify]: Simplify n into n 12.167 * [taylor]: Taking taylor expansion of f in f 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify 1 into 1 12.167 * [backup-simplify]: Simplify (+ n 0) into n 12.168 * [backup-simplify]: Simplify (/ n n) into 1 12.168 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 12.168 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 12.168 * [taylor]: Taking taylor expansion of f in f 12.168 * [backup-simplify]: Simplify 0 into 0 12.168 * [backup-simplify]: Simplify 1 into 1 12.168 * [taylor]: Taking taylor expansion of (+ n f) in f 12.168 * [taylor]: Taking taylor expansion of n in f 12.168 * [backup-simplify]: Simplify n into n 12.168 * [taylor]: Taking taylor expansion of f in f 12.168 * [backup-simplify]: Simplify 0 into 0 12.168 * [backup-simplify]: Simplify 1 into 1 12.168 * [backup-simplify]: Simplify (+ n 0) into n 12.168 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.168 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 12.168 * [taylor]: Taking taylor expansion of n in f 12.168 * [backup-simplify]: Simplify n into n 12.168 * [taylor]: Taking taylor expansion of (+ n f) in f 12.168 * [taylor]: Taking taylor expansion of n in f 12.168 * [backup-simplify]: Simplify n into n 12.168 * [taylor]: Taking taylor expansion of f in f 12.168 * [backup-simplify]: Simplify 0 into 0 12.168 * [backup-simplify]: Simplify 1 into 1 12.168 * [backup-simplify]: Simplify (+ n 0) into n 12.168 * [backup-simplify]: Simplify (/ n n) into 1 12.169 * [backup-simplify]: Simplify (- 1) into -1 12.169 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.169 * [taylor]: Taking taylor expansion of -1 in n 12.169 * [backup-simplify]: Simplify -1 into -1 12.169 * [backup-simplify]: Simplify -1 into -1 12.170 * [backup-simplify]: Simplify (+ 0 1) into 1 12.170 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 12.170 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 12.171 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 12.171 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.171 * [taylor]: Taking taylor expansion of 2 in n 12.171 * [backup-simplify]: Simplify 2 into 2 12.171 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.171 * [taylor]: Taking taylor expansion of n in n 12.171 * [backup-simplify]: Simplify 0 into 0 12.171 * [backup-simplify]: Simplify 1 into 1 12.171 * [backup-simplify]: Simplify (/ 1 1) into 1 12.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.173 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.173 * [backup-simplify]: Simplify 0 into 0 12.173 * [backup-simplify]: Simplify 0 into 0 12.173 * [backup-simplify]: Simplify (+ 0 1) into 1 12.174 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 12.174 * [backup-simplify]: Simplify (+ 0 0) into 0 12.175 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 12.176 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 12.177 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 12.177 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.177 * [taylor]: Taking taylor expansion of 2 in n 12.177 * [backup-simplify]: Simplify 2 into 2 12.177 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.177 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.177 * [taylor]: Taking taylor expansion of n in n 12.177 * [backup-simplify]: Simplify 0 into 0 12.177 * [backup-simplify]: Simplify 1 into 1 12.178 * [backup-simplify]: Simplify (* 1 1) into 1 12.178 * [backup-simplify]: Simplify (/ 1 1) into 1 12.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.183 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.184 * [backup-simplify]: Simplify (- 0) into 0 12.184 * [backup-simplify]: Simplify 0 into 0 12.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.186 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.186 * [backup-simplify]: Simplify 0 into 0 12.186 * [backup-simplify]: Simplify 0 into 0 12.186 * [backup-simplify]: Simplify (+ 0 0) into 0 12.188 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 12.188 * [backup-simplify]: Simplify (+ 0 0) into 0 12.189 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 12.190 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 12.191 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 12.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.191 * [taylor]: Taking taylor expansion of 2 in n 12.191 * [backup-simplify]: Simplify 2 into 2 12.191 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.191 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.191 * [taylor]: Taking taylor expansion of n in n 12.191 * [backup-simplify]: Simplify 0 into 0 12.191 * [backup-simplify]: Simplify 1 into 1 12.192 * [backup-simplify]: Simplify (* 1 1) into 1 12.192 * [backup-simplify]: Simplify (* 1 1) into 1 12.193 * [backup-simplify]: Simplify (/ 1 1) into 1 12.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.202 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.202 * [backup-simplify]: Simplify 0 into 0 12.202 * [backup-simplify]: Simplify -1 into -1 12.203 * [backup-simplify]: Simplify (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n)))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 12.203 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 12.204 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 12.204 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 12.204 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 12.204 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.204 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.204 * [taylor]: Taking taylor expansion of f in n 12.204 * [backup-simplify]: Simplify f into f 12.204 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.204 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.204 * [taylor]: Taking taylor expansion of n in n 12.204 * [backup-simplify]: Simplify 0 into 0 12.204 * [backup-simplify]: Simplify 1 into 1 12.204 * [backup-simplify]: Simplify (/ 1 1) into 1 12.204 * [taylor]: Taking taylor expansion of f in n 12.204 * [backup-simplify]: Simplify f into f 12.205 * [backup-simplify]: Simplify (+ 0 1) into 1 12.205 * [backup-simplify]: Simplify (* 1 f) into f 12.205 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.205 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 12.205 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 12.205 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.205 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.205 * [taylor]: Taking taylor expansion of f in n 12.205 * [backup-simplify]: Simplify f into f 12.205 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.205 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.205 * [taylor]: Taking taylor expansion of n in n 12.205 * [backup-simplify]: Simplify 0 into 0 12.206 * [backup-simplify]: Simplify 1 into 1 12.206 * [backup-simplify]: Simplify (/ 1 1) into 1 12.206 * [taylor]: Taking taylor expansion of n in n 12.206 * [backup-simplify]: Simplify 0 into 0 12.206 * [backup-simplify]: Simplify 1 into 1 12.206 * [backup-simplify]: Simplify (+ 0 1) into 1 12.207 * [backup-simplify]: Simplify (* 1 0) into 0 12.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.208 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 12.209 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 12.209 * [backup-simplify]: Simplify (/ 1 1) into 1 12.209 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 12.209 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 12.209 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 12.209 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.209 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.209 * [taylor]: Taking taylor expansion of f in f 12.209 * [backup-simplify]: Simplify 0 into 0 12.209 * [backup-simplify]: Simplify 1 into 1 12.210 * [backup-simplify]: Simplify (/ 1 1) into 1 12.210 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.210 * [taylor]: Taking taylor expansion of n in f 12.210 * [backup-simplify]: Simplify n into n 12.210 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.210 * [taylor]: Taking taylor expansion of f in f 12.210 * [backup-simplify]: Simplify 0 into 0 12.210 * [backup-simplify]: Simplify 1 into 1 12.210 * [backup-simplify]: Simplify (+ 1 0) into 1 12.211 * [backup-simplify]: Simplify (* 1 0) into 0 12.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.212 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.212 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 12.213 * [backup-simplify]: Simplify (/ 1 1) into 1 12.213 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 12.213 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 12.213 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.213 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.213 * [taylor]: Taking taylor expansion of f in f 12.213 * [backup-simplify]: Simplify 0 into 0 12.213 * [backup-simplify]: Simplify 1 into 1 12.213 * [backup-simplify]: Simplify (/ 1 1) into 1 12.213 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.213 * [taylor]: Taking taylor expansion of n in f 12.213 * [backup-simplify]: Simplify n into n 12.213 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.213 * [taylor]: Taking taylor expansion of n in f 12.213 * [backup-simplify]: Simplify n into n 12.214 * [backup-simplify]: Simplify (+ 1 0) into 1 12.214 * [backup-simplify]: Simplify (* 1 n) into n 12.214 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.214 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 12.214 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 12.214 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 12.214 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.214 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.214 * [taylor]: Taking taylor expansion of f in f 12.214 * [backup-simplify]: Simplify 0 into 0 12.214 * [backup-simplify]: Simplify 1 into 1 12.214 * [backup-simplify]: Simplify (/ 1 1) into 1 12.214 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.214 * [taylor]: Taking taylor expansion of n in f 12.214 * [backup-simplify]: Simplify n into n 12.214 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.214 * [taylor]: Taking taylor expansion of f in f 12.214 * [backup-simplify]: Simplify 0 into 0 12.214 * [backup-simplify]: Simplify 1 into 1 12.215 * [backup-simplify]: Simplify (+ 1 0) into 1 12.215 * [backup-simplify]: Simplify (* 1 0) into 0 12.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.215 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.216 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 12.216 * [backup-simplify]: Simplify (/ 1 1) into 1 12.216 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 12.216 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 12.216 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.216 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.216 * [taylor]: Taking taylor expansion of f in f 12.216 * [backup-simplify]: Simplify 0 into 0 12.216 * [backup-simplify]: Simplify 1 into 1 12.216 * [backup-simplify]: Simplify (/ 1 1) into 1 12.217 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.217 * [taylor]: Taking taylor expansion of n in f 12.217 * [backup-simplify]: Simplify n into n 12.217 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.217 * [taylor]: Taking taylor expansion of n in f 12.217 * [backup-simplify]: Simplify n into n 12.217 * [backup-simplify]: Simplify (+ 1 0) into 1 12.217 * [backup-simplify]: Simplify (* 1 n) into n 12.217 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.218 * [backup-simplify]: Simplify (+ 1 0) into 1 12.218 * [taylor]: Taking taylor expansion of 1 in n 12.218 * [backup-simplify]: Simplify 1 into 1 12.218 * [backup-simplify]: Simplify 1 into 1 12.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.219 * [backup-simplify]: Simplify (+ 0 0) into 0 12.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 12.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 12.220 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.220 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 12.220 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.220 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.220 * [taylor]: Taking taylor expansion of 2 in n 12.220 * [backup-simplify]: Simplify 2 into 2 12.220 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.220 * [taylor]: Taking taylor expansion of n in n 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 1 into 1 12.220 * [backup-simplify]: Simplify (/ 1 1) into 1 12.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.221 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.221 * [backup-simplify]: Simplify (- 0) into 0 12.221 * [backup-simplify]: Simplify 0 into 0 12.221 * [backup-simplify]: Simplify 0 into 0 12.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.223 * [backup-simplify]: Simplify (+ 0 0) into 0 12.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 12.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 12.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.225 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.225 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 12.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 12.226 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 12.226 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 12.226 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.226 * [taylor]: Taking taylor expansion of 2 in n 12.226 * [backup-simplify]: Simplify 2 into 2 12.226 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.226 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.226 * [taylor]: Taking taylor expansion of n in n 12.226 * [backup-simplify]: Simplify 0 into 0 12.226 * [backup-simplify]: Simplify 1 into 1 12.227 * [backup-simplify]: Simplify (* 1 1) into 1 12.227 * [backup-simplify]: Simplify (/ 1 1) into 1 12.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.229 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.229 * [backup-simplify]: Simplify 0 into 0 12.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.231 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.231 * [backup-simplify]: Simplify (- 0) into 0 12.231 * [backup-simplify]: Simplify 0 into 0 12.231 * [backup-simplify]: Simplify 0 into 0 12.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.232 * [backup-simplify]: Simplify (+ 0 0) into 0 12.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 12.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.236 * [backup-simplify]: Simplify (+ 0 0) into 0 12.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 12.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 12.237 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 12.238 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 12.238 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.238 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.238 * [taylor]: Taking taylor expansion of 2 in n 12.238 * [backup-simplify]: Simplify 2 into 2 12.238 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.238 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.238 * [taylor]: Taking taylor expansion of n in n 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [backup-simplify]: Simplify 1 into 1 12.242 * [backup-simplify]: Simplify (* 1 1) into 1 12.242 * [backup-simplify]: Simplify (* 1 1) into 1 12.243 * [backup-simplify]: Simplify (/ 1 1) into 1 12.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.251 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.252 * [backup-simplify]: Simplify (- 0) into 0 12.252 * [backup-simplify]: Simplify 0 into 0 12.252 * [backup-simplify]: Simplify 1 into 1 12.253 * [backup-simplify]: Simplify (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 12.253 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 12.253 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 12.253 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 12.253 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 12.253 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.253 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.253 * [taylor]: Taking taylor expansion of f in n 12.253 * [backup-simplify]: Simplify f into f 12.253 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.253 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.253 * [taylor]: Taking taylor expansion of n in n 12.253 * [backup-simplify]: Simplify 0 into 0 12.253 * [backup-simplify]: Simplify 1 into 1 12.254 * [backup-simplify]: Simplify (/ 1 1) into 1 12.254 * [taylor]: Taking taylor expansion of f in n 12.254 * [backup-simplify]: Simplify f into f 12.254 * [backup-simplify]: Simplify (+ 0 1) into 1 12.254 * [backup-simplify]: Simplify (* 1 f) into f 12.255 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.255 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 12.255 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 12.255 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.255 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.255 * [taylor]: Taking taylor expansion of f in n 12.255 * [backup-simplify]: Simplify f into f 12.255 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.255 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.255 * [taylor]: Taking taylor expansion of n in n 12.255 * [backup-simplify]: Simplify 0 into 0 12.255 * [backup-simplify]: Simplify 1 into 1 12.255 * [backup-simplify]: Simplify (/ 1 1) into 1 12.255 * [taylor]: Taking taylor expansion of n in n 12.255 * [backup-simplify]: Simplify 0 into 0 12.255 * [backup-simplify]: Simplify 1 into 1 12.256 * [backup-simplify]: Simplify (+ 0 1) into 1 12.256 * [backup-simplify]: Simplify (* 1 0) into 0 12.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.257 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 12.258 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 12.258 * [backup-simplify]: Simplify (/ 1 1) into 1 12.258 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 12.258 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 12.258 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 12.258 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.258 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.258 * [taylor]: Taking taylor expansion of f in f 12.258 * [backup-simplify]: Simplify 0 into 0 12.259 * [backup-simplify]: Simplify 1 into 1 12.259 * [backup-simplify]: Simplify (/ 1 1) into 1 12.259 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.259 * [taylor]: Taking taylor expansion of n in f 12.259 * [backup-simplify]: Simplify n into n 12.259 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.259 * [taylor]: Taking taylor expansion of f in f 12.259 * [backup-simplify]: Simplify 0 into 0 12.259 * [backup-simplify]: Simplify 1 into 1 12.260 * [backup-simplify]: Simplify (+ 1 0) into 1 12.260 * [backup-simplify]: Simplify (* 1 0) into 0 12.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.261 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.262 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 12.262 * [backup-simplify]: Simplify (/ 1 1) into 1 12.262 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 12.262 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 12.262 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.262 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.262 * [taylor]: Taking taylor expansion of f in f 12.262 * [backup-simplify]: Simplify 0 into 0 12.262 * [backup-simplify]: Simplify 1 into 1 12.263 * [backup-simplify]: Simplify (/ 1 1) into 1 12.263 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.263 * [taylor]: Taking taylor expansion of n in f 12.263 * [backup-simplify]: Simplify n into n 12.263 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.263 * [taylor]: Taking taylor expansion of n in f 12.263 * [backup-simplify]: Simplify n into n 12.263 * [backup-simplify]: Simplify (+ 1 0) into 1 12.263 * [backup-simplify]: Simplify (* 1 n) into n 12.264 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.264 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 12.264 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 12.264 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 12.264 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.264 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.264 * [taylor]: Taking taylor expansion of f in f 12.264 * [backup-simplify]: Simplify 0 into 0 12.264 * [backup-simplify]: Simplify 1 into 1 12.264 * [backup-simplify]: Simplify (/ 1 1) into 1 12.264 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.264 * [taylor]: Taking taylor expansion of n in f 12.264 * [backup-simplify]: Simplify n into n 12.264 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.264 * [taylor]: Taking taylor expansion of f in f 12.264 * [backup-simplify]: Simplify 0 into 0 12.264 * [backup-simplify]: Simplify 1 into 1 12.265 * [backup-simplify]: Simplify (+ 1 0) into 1 12.265 * [backup-simplify]: Simplify (* 1 0) into 0 12.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.266 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.267 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 12.268 * [backup-simplify]: Simplify (/ 1 1) into 1 12.268 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 12.268 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 12.268 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.268 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.268 * [taylor]: Taking taylor expansion of f in f 12.268 * [backup-simplify]: Simplify 0 into 0 12.268 * [backup-simplify]: Simplify 1 into 1 12.268 * [backup-simplify]: Simplify (/ 1 1) into 1 12.268 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.268 * [taylor]: Taking taylor expansion of n in f 12.268 * [backup-simplify]: Simplify n into n 12.268 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.268 * [taylor]: Taking taylor expansion of n in f 12.269 * [backup-simplify]: Simplify n into n 12.269 * [backup-simplify]: Simplify (+ 1 0) into 1 12.269 * [backup-simplify]: Simplify (* 1 n) into n 12.269 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.270 * [backup-simplify]: Simplify (+ 1 0) into 1 12.270 * [taylor]: Taking taylor expansion of 1 in n 12.270 * [backup-simplify]: Simplify 1 into 1 12.270 * [backup-simplify]: Simplify 1 into 1 12.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.272 * [backup-simplify]: Simplify (+ 0 0) into 0 12.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 12.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 12.273 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.273 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 12.274 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.274 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.274 * [taylor]: Taking taylor expansion of 2 in n 12.274 * [backup-simplify]: Simplify 2 into 2 12.274 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.274 * [taylor]: Taking taylor expansion of n in n 12.274 * [backup-simplify]: Simplify 0 into 0 12.274 * [backup-simplify]: Simplify 1 into 1 12.274 * [backup-simplify]: Simplify (/ 1 1) into 1 12.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.276 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.276 * [backup-simplify]: Simplify (- 0) into 0 12.276 * [backup-simplify]: Simplify 0 into 0 12.276 * [backup-simplify]: Simplify 0 into 0 12.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.278 * [backup-simplify]: Simplify (+ 0 0) into 0 12.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 12.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 12.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.282 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.283 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 12.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 12.284 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 12.285 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 12.285 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.285 * [taylor]: Taking taylor expansion of 2 in n 12.285 * [backup-simplify]: Simplify 2 into 2 12.285 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.285 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.285 * [taylor]: Taking taylor expansion of n in n 12.285 * [backup-simplify]: Simplify 0 into 0 12.285 * [backup-simplify]: Simplify 1 into 1 12.286 * [backup-simplify]: Simplify (* 1 1) into 1 12.286 * [backup-simplify]: Simplify (/ 1 1) into 1 12.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.291 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.291 * [backup-simplify]: Simplify 0 into 0 12.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.293 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.293 * [backup-simplify]: Simplify (- 0) into 0 12.293 * [backup-simplify]: Simplify 0 into 0 12.294 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.297 * [backup-simplify]: Simplify (+ 0 0) into 0 12.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 12.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.302 * [backup-simplify]: Simplify (+ 0 0) into 0 12.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 12.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 12.305 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 12.306 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 12.306 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.306 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.306 * [taylor]: Taking taylor expansion of 2 in n 12.306 * [backup-simplify]: Simplify 2 into 2 12.306 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.306 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.306 * [taylor]: Taking taylor expansion of n in n 12.306 * [backup-simplify]: Simplify 0 into 0 12.306 * [backup-simplify]: Simplify 1 into 1 12.306 * [backup-simplify]: Simplify (* 1 1) into 1 12.307 * [backup-simplify]: Simplify (* 1 1) into 1 12.307 * [backup-simplify]: Simplify (/ 1 1) into 1 12.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.317 * [backup-simplify]: Simplify (- 0) into 0 12.317 * [backup-simplify]: Simplify 0 into 0 12.318 * [backup-simplify]: Simplify 1 into 1 12.318 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 12.318 * [backup-simplify]: Simplify (/ f (+ f n)) into (/ f (+ n f)) 12.318 * [approximate]: Taking taylor expansion of (/ f (+ n f)) in (f n) around 0 12.318 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 12.318 * [taylor]: Taking taylor expansion of f in n 12.318 * [backup-simplify]: Simplify f into f 12.318 * [taylor]: Taking taylor expansion of (+ n f) in n 12.318 * [taylor]: Taking taylor expansion of n in n 12.318 * [backup-simplify]: Simplify 0 into 0 12.318 * [backup-simplify]: Simplify 1 into 1 12.318 * [taylor]: Taking taylor expansion of f in n 12.318 * [backup-simplify]: Simplify f into f 12.318 * [backup-simplify]: Simplify (+ 0 f) into f 12.319 * [backup-simplify]: Simplify (/ f f) into 1 12.319 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 12.319 * [taylor]: Taking taylor expansion of f in f 12.319 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify 1 into 1 12.319 * [taylor]: Taking taylor expansion of (+ n f) in f 12.319 * [taylor]: Taking taylor expansion of n in f 12.319 * [backup-simplify]: Simplify n into n 12.319 * [taylor]: Taking taylor expansion of f in f 12.319 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify 1 into 1 12.319 * [backup-simplify]: Simplify (+ n 0) into n 12.319 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.319 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 12.319 * [taylor]: Taking taylor expansion of f in f 12.319 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify 1 into 1 12.319 * [taylor]: Taking taylor expansion of (+ n f) in f 12.319 * [taylor]: Taking taylor expansion of n in f 12.319 * [backup-simplify]: Simplify n into n 12.319 * [taylor]: Taking taylor expansion of f in f 12.319 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify 1 into 1 12.320 * [backup-simplify]: Simplify (+ n 0) into n 12.320 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.320 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.320 * [taylor]: Taking taylor expansion of n in n 12.320 * [backup-simplify]: Simplify 0 into 0 12.320 * [backup-simplify]: Simplify 1 into 1 12.320 * [backup-simplify]: Simplify (/ 1 1) into 1 12.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.321 * [backup-simplify]: Simplify 0 into 0 12.322 * [backup-simplify]: Simplify (+ 0 1) into 1 12.322 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 12.322 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 12.322 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.322 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.322 * [taylor]: Taking taylor expansion of n in n 12.322 * [backup-simplify]: Simplify 0 into 0 12.322 * [backup-simplify]: Simplify 1 into 1 12.323 * [backup-simplify]: Simplify (* 1 1) into 1 12.323 * [backup-simplify]: Simplify (/ 1 1) into 1 12.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.326 * [backup-simplify]: Simplify (- 0) into 0 12.326 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify (+ 0 0) into 0 12.328 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 12.328 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.328 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.328 * [taylor]: Taking taylor expansion of n in n 12.328 * [backup-simplify]: Simplify 0 into 0 12.328 * [backup-simplify]: Simplify 1 into 1 12.328 * [backup-simplify]: Simplify (* 1 1) into 1 12.328 * [backup-simplify]: Simplify (* 1 1) into 1 12.329 * [backup-simplify]: Simplify (/ 1 1) into 1 12.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.334 * [backup-simplify]: Simplify 0 into 0 12.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.335 * [backup-simplify]: Simplify (- 0) into 0 12.335 * [backup-simplify]: Simplify 0 into 0 12.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.336 * [backup-simplify]: Simplify 0 into 0 12.336 * [backup-simplify]: Simplify 0 into 0 12.336 * [backup-simplify]: Simplify (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 12.336 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 12.336 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 12.336 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 12.336 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.336 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.336 * [taylor]: Taking taylor expansion of f in n 12.336 * [backup-simplify]: Simplify f into f 12.336 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.336 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.336 * [taylor]: Taking taylor expansion of n in n 12.337 * [backup-simplify]: Simplify 0 into 0 12.337 * [backup-simplify]: Simplify 1 into 1 12.337 * [backup-simplify]: Simplify (/ 1 1) into 1 12.337 * [taylor]: Taking taylor expansion of f in n 12.337 * [backup-simplify]: Simplify f into f 12.337 * [backup-simplify]: Simplify (+ 0 1) into 1 12.337 * [backup-simplify]: Simplify (* 1 f) into f 12.337 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.337 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 12.337 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 12.337 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.337 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.337 * [taylor]: Taking taylor expansion of f in f 12.337 * [backup-simplify]: Simplify 0 into 0 12.337 * [backup-simplify]: Simplify 1 into 1 12.338 * [backup-simplify]: Simplify (/ 1 1) into 1 12.338 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.338 * [taylor]: Taking taylor expansion of n in f 12.338 * [backup-simplify]: Simplify n into n 12.338 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.338 * [taylor]: Taking taylor expansion of f in f 12.338 * [backup-simplify]: Simplify 0 into 0 12.338 * [backup-simplify]: Simplify 1 into 1 12.338 * [backup-simplify]: Simplify (+ 1 0) into 1 12.338 * [backup-simplify]: Simplify (* 1 0) into 0 12.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.339 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.339 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 12.340 * [backup-simplify]: Simplify (/ 1 1) into 1 12.340 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 12.340 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 12.340 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.340 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.340 * [taylor]: Taking taylor expansion of f in f 12.340 * [backup-simplify]: Simplify 0 into 0 12.340 * [backup-simplify]: Simplify 1 into 1 12.340 * [backup-simplify]: Simplify (/ 1 1) into 1 12.340 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.340 * [taylor]: Taking taylor expansion of n in f 12.340 * [backup-simplify]: Simplify n into n 12.340 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.340 * [taylor]: Taking taylor expansion of f in f 12.340 * [backup-simplify]: Simplify 0 into 0 12.340 * [backup-simplify]: Simplify 1 into 1 12.340 * [backup-simplify]: Simplify (+ 1 0) into 1 12.341 * [backup-simplify]: Simplify (* 1 0) into 0 12.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.341 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.342 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 12.342 * [backup-simplify]: Simplify (/ 1 1) into 1 12.342 * [taylor]: Taking taylor expansion of 1 in n 12.342 * [backup-simplify]: Simplify 1 into 1 12.342 * [backup-simplify]: Simplify 0 into 0 12.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.343 * [backup-simplify]: Simplify (+ 0 0) into 0 12.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 12.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 12.344 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 12.344 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.344 * [taylor]: Taking taylor expansion of n in n 12.344 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify 1 into 1 12.344 * [backup-simplify]: Simplify (/ 1 1) into 1 12.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.345 * [backup-simplify]: Simplify (- 0) into 0 12.346 * [backup-simplify]: Simplify 0 into 0 12.346 * [backup-simplify]: Simplify 0 into 0 12.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.347 * [backup-simplify]: Simplify (+ 0 0) into 0 12.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 12.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 12.348 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.348 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.348 * [taylor]: Taking taylor expansion of n in n 12.348 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify 1 into 1 12.349 * [backup-simplify]: Simplify (* 1 1) into 1 12.349 * [backup-simplify]: Simplify (/ 1 1) into 1 12.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.352 * [backup-simplify]: Simplify 0 into 0 12.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.353 * [backup-simplify]: Simplify (- 0) into 0 12.353 * [backup-simplify]: Simplify 0 into 0 12.353 * [backup-simplify]: Simplify 0 into 0 12.353 * [backup-simplify]: Simplify 0 into 0 12.354 * [backup-simplify]: Simplify (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 12.354 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 12.354 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 12.354 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 12.354 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.354 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.354 * [taylor]: Taking taylor expansion of f in n 12.354 * [backup-simplify]: Simplify f into f 12.354 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.354 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.354 * [taylor]: Taking taylor expansion of n in n 12.354 * [backup-simplify]: Simplify 0 into 0 12.354 * [backup-simplify]: Simplify 1 into 1 12.355 * [backup-simplify]: Simplify (/ 1 1) into 1 12.355 * [taylor]: Taking taylor expansion of f in n 12.355 * [backup-simplify]: Simplify f into f 12.355 * [backup-simplify]: Simplify (+ 0 1) into 1 12.355 * [backup-simplify]: Simplify (* 1 f) into f 12.356 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.356 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 12.356 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 12.356 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.356 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.356 * [taylor]: Taking taylor expansion of f in f 12.356 * [backup-simplify]: Simplify 0 into 0 12.356 * [backup-simplify]: Simplify 1 into 1 12.356 * [backup-simplify]: Simplify (/ 1 1) into 1 12.356 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.356 * [taylor]: Taking taylor expansion of n in f 12.356 * [backup-simplify]: Simplify n into n 12.356 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.356 * [taylor]: Taking taylor expansion of f in f 12.356 * [backup-simplify]: Simplify 0 into 0 12.356 * [backup-simplify]: Simplify 1 into 1 12.357 * [backup-simplify]: Simplify (+ 1 0) into 1 12.357 * [backup-simplify]: Simplify (* 1 0) into 0 12.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.358 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.359 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 12.359 * [backup-simplify]: Simplify (/ 1 1) into 1 12.359 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 12.359 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 12.359 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.359 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.359 * [taylor]: Taking taylor expansion of f in f 12.359 * [backup-simplify]: Simplify 0 into 0 12.359 * [backup-simplify]: Simplify 1 into 1 12.360 * [backup-simplify]: Simplify (/ 1 1) into 1 12.360 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.360 * [taylor]: Taking taylor expansion of n in f 12.360 * [backup-simplify]: Simplify n into n 12.360 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.360 * [taylor]: Taking taylor expansion of f in f 12.360 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify 1 into 1 12.361 * [backup-simplify]: Simplify (+ 1 0) into 1 12.361 * [backup-simplify]: Simplify (* 1 0) into 0 12.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.362 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.363 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 12.363 * [backup-simplify]: Simplify (/ 1 1) into 1 12.363 * [taylor]: Taking taylor expansion of 1 in n 12.363 * [backup-simplify]: Simplify 1 into 1 12.363 * [backup-simplify]: Simplify 0 into 0 12.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.365 * [backup-simplify]: Simplify (+ 0 0) into 0 12.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 12.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 12.366 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 12.366 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.366 * [taylor]: Taking taylor expansion of n in n 12.366 * [backup-simplify]: Simplify 0 into 0 12.367 * [backup-simplify]: Simplify 1 into 1 12.367 * [backup-simplify]: Simplify (/ 1 1) into 1 12.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.369 * [backup-simplify]: Simplify (- 0) into 0 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 0 into 0 12.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.371 * [backup-simplify]: Simplify (+ 0 0) into 0 12.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 12.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 12.374 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.374 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.374 * [taylor]: Taking taylor expansion of n in n 12.374 * [backup-simplify]: Simplify 0 into 0 12.374 * [backup-simplify]: Simplify 1 into 1 12.374 * [backup-simplify]: Simplify (* 1 1) into 1 12.375 * [backup-simplify]: Simplify (/ 1 1) into 1 12.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.384 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.386 * [backup-simplify]: Simplify (- 0) into 0 12.386 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify 0 into 0 12.386 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 12.387 * [backup-simplify]: Simplify (/ n (+ f n)) into (/ n (+ n f)) 12.387 * [approximate]: Taking taylor expansion of (/ n (+ n f)) in (n f) around 0 12.387 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 12.387 * [taylor]: Taking taylor expansion of n in f 12.387 * [backup-simplify]: Simplify n into n 12.387 * [taylor]: Taking taylor expansion of (+ n f) in f 12.387 * [taylor]: Taking taylor expansion of n in f 12.387 * [backup-simplify]: Simplify n into n 12.387 * [taylor]: Taking taylor expansion of f in f 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 1 into 1 12.387 * [backup-simplify]: Simplify (+ n 0) into n 12.387 * [backup-simplify]: Simplify (/ n n) into 1 12.387 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 12.387 * [taylor]: Taking taylor expansion of n in n 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 1 into 1 12.387 * [taylor]: Taking taylor expansion of (+ n f) in n 12.387 * [taylor]: Taking taylor expansion of n in n 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 1 into 1 12.387 * [taylor]: Taking taylor expansion of f in n 12.387 * [backup-simplify]: Simplify f into f 12.387 * [backup-simplify]: Simplify (+ 0 f) into f 12.388 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.388 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 12.388 * [taylor]: Taking taylor expansion of n in n 12.388 * [backup-simplify]: Simplify 0 into 0 12.388 * [backup-simplify]: Simplify 1 into 1 12.388 * [taylor]: Taking taylor expansion of (+ n f) in n 12.388 * [taylor]: Taking taylor expansion of n in n 12.388 * [backup-simplify]: Simplify 0 into 0 12.388 * [backup-simplify]: Simplify 1 into 1 12.388 * [taylor]: Taking taylor expansion of f in n 12.388 * [backup-simplify]: Simplify f into f 12.388 * [backup-simplify]: Simplify (+ 0 f) into f 12.388 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.388 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.388 * [taylor]: Taking taylor expansion of f in f 12.388 * [backup-simplify]: Simplify 0 into 0 12.388 * [backup-simplify]: Simplify 1 into 1 12.389 * [backup-simplify]: Simplify (/ 1 1) into 1 12.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.389 * [backup-simplify]: Simplify 0 into 0 12.390 * [backup-simplify]: Simplify (+ 1 0) into 1 12.391 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 1 f)))) into (- (/ 1 (pow f 2))) 12.391 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 12.391 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 12.391 * [taylor]: Taking taylor expansion of (pow f 2) in f 12.391 * [taylor]: Taking taylor expansion of f in f 12.391 * [backup-simplify]: Simplify 0 into 0 12.391 * [backup-simplify]: Simplify 1 into 1 12.391 * [backup-simplify]: Simplify (* 1 1) into 1 12.392 * [backup-simplify]: Simplify (/ 1 1) into 1 12.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.396 * [backup-simplify]: Simplify (- 0) into 0 12.396 * [backup-simplify]: Simplify 0 into 0 12.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.397 * [backup-simplify]: Simplify 0 into 0 12.397 * [backup-simplify]: Simplify (+ 0 0) into 0 12.398 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (- (/ 1 (pow f 2))) (/ 1 f)))) into (/ 1 (pow f 3)) 12.398 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 12.398 * [taylor]: Taking taylor expansion of (pow f 3) in f 12.398 * [taylor]: Taking taylor expansion of f in f 12.399 * [backup-simplify]: Simplify 0 into 0 12.399 * [backup-simplify]: Simplify 1 into 1 12.399 * [backup-simplify]: Simplify (* 1 1) into 1 12.399 * [backup-simplify]: Simplify (* 1 1) into 1 12.400 * [backup-simplify]: Simplify (/ 1 1) into 1 12.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.408 * [backup-simplify]: Simplify 0 into 0 12.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.412 * [backup-simplify]: Simplify (- 0) into 0 12.412 * [backup-simplify]: Simplify 0 into 0 12.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.413 * [backup-simplify]: Simplify 0 into 0 12.413 * [backup-simplify]: Simplify 0 into 0 12.413 * [backup-simplify]: Simplify (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 12.413 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 12.413 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 12.413 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 12.413 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.413 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.414 * [taylor]: Taking taylor expansion of f in f 12.414 * [backup-simplify]: Simplify 0 into 0 12.414 * [backup-simplify]: Simplify 1 into 1 12.414 * [backup-simplify]: Simplify (/ 1 1) into 1 12.414 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.414 * [taylor]: Taking taylor expansion of n in f 12.414 * [backup-simplify]: Simplify n into n 12.414 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.414 * [taylor]: Taking taylor expansion of n in f 12.414 * [backup-simplify]: Simplify n into n 12.415 * [backup-simplify]: Simplify (+ 1 0) into 1 12.415 * [backup-simplify]: Simplify (* 1 n) into n 12.415 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.415 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 12.415 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 12.415 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.415 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.415 * [taylor]: Taking taylor expansion of f in n 12.415 * [backup-simplify]: Simplify f into f 12.415 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.415 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.415 * [taylor]: Taking taylor expansion of n in n 12.415 * [backup-simplify]: Simplify 0 into 0 12.415 * [backup-simplify]: Simplify 1 into 1 12.416 * [backup-simplify]: Simplify (/ 1 1) into 1 12.416 * [taylor]: Taking taylor expansion of n in n 12.416 * [backup-simplify]: Simplify 0 into 0 12.416 * [backup-simplify]: Simplify 1 into 1 12.416 * [backup-simplify]: Simplify (+ 0 1) into 1 12.417 * [backup-simplify]: Simplify (* 1 0) into 0 12.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.418 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 12.418 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 12.419 * [backup-simplify]: Simplify (/ 1 1) into 1 12.419 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 12.419 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 12.419 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.419 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.419 * [taylor]: Taking taylor expansion of f in n 12.419 * [backup-simplify]: Simplify f into f 12.419 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.419 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.419 * [taylor]: Taking taylor expansion of n in n 12.419 * [backup-simplify]: Simplify 0 into 0 12.419 * [backup-simplify]: Simplify 1 into 1 12.420 * [backup-simplify]: Simplify (/ 1 1) into 1 12.420 * [taylor]: Taking taylor expansion of n in n 12.420 * [backup-simplify]: Simplify 0 into 0 12.420 * [backup-simplify]: Simplify 1 into 1 12.420 * [backup-simplify]: Simplify (+ 0 1) into 1 12.421 * [backup-simplify]: Simplify (* 1 0) into 0 12.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.422 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 12.422 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 12.423 * [backup-simplify]: Simplify (/ 1 1) into 1 12.423 * [taylor]: Taking taylor expansion of 1 in f 12.423 * [backup-simplify]: Simplify 1 into 1 12.423 * [backup-simplify]: Simplify 0 into 0 12.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 12.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.425 * [backup-simplify]: Simplify (+ 0 0) into 0 12.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 12.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 12.426 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 12.426 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.426 * [taylor]: Taking taylor expansion of f in f 12.426 * [backup-simplify]: Simplify 0 into 0 12.426 * [backup-simplify]: Simplify 1 into 1 12.427 * [backup-simplify]: Simplify (/ 1 1) into 1 12.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.429 * [backup-simplify]: Simplify (- 0) into 0 12.429 * [backup-simplify]: Simplify 0 into 0 12.429 * [backup-simplify]: Simplify 0 into 0 12.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 12.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.431 * [backup-simplify]: Simplify (+ 0 0) into 0 12.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 12.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 12.434 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 12.434 * [taylor]: Taking taylor expansion of (pow f 2) in f 12.434 * [taylor]: Taking taylor expansion of f in f 12.434 * [backup-simplify]: Simplify 0 into 0 12.434 * [backup-simplify]: Simplify 1 into 1 12.434 * [backup-simplify]: Simplify (* 1 1) into 1 12.435 * [backup-simplify]: Simplify (/ 1 1) into 1 12.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.441 * [backup-simplify]: Simplify 0 into 0 12.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.443 * [backup-simplify]: Simplify (- 0) into 0 12.443 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 12.444 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 12.444 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 12.444 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 12.444 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.444 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.444 * [taylor]: Taking taylor expansion of f in f 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 1 into 1 12.444 * [backup-simplify]: Simplify (/ 1 1) into 1 12.444 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.444 * [taylor]: Taking taylor expansion of n in f 12.444 * [backup-simplify]: Simplify n into n 12.444 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.444 * [taylor]: Taking taylor expansion of n in f 12.444 * [backup-simplify]: Simplify n into n 12.445 * [backup-simplify]: Simplify (+ 1 0) into 1 12.445 * [backup-simplify]: Simplify (* 1 n) into n 12.445 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.445 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 12.445 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 12.445 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.445 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.445 * [taylor]: Taking taylor expansion of f in n 12.445 * [backup-simplify]: Simplify f into f 12.445 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.445 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.446 * [taylor]: Taking taylor expansion of n in n 12.446 * [backup-simplify]: Simplify 0 into 0 12.446 * [backup-simplify]: Simplify 1 into 1 12.446 * [backup-simplify]: Simplify (/ 1 1) into 1 12.446 * [taylor]: Taking taylor expansion of n in n 12.446 * [backup-simplify]: Simplify 0 into 0 12.446 * [backup-simplify]: Simplify 1 into 1 12.447 * [backup-simplify]: Simplify (+ 0 1) into 1 12.447 * [backup-simplify]: Simplify (* 1 0) into 0 12.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.448 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 12.449 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 12.449 * [backup-simplify]: Simplify (/ 1 1) into 1 12.449 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 12.449 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 12.450 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.450 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.450 * [taylor]: Taking taylor expansion of f in n 12.450 * [backup-simplify]: Simplify f into f 12.450 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.450 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.450 * [taylor]: Taking taylor expansion of n in n 12.450 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify 1 into 1 12.450 * [backup-simplify]: Simplify (/ 1 1) into 1 12.450 * [taylor]: Taking taylor expansion of n in n 12.450 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify 1 into 1 12.451 * [backup-simplify]: Simplify (+ 0 1) into 1 12.451 * [backup-simplify]: Simplify (* 1 0) into 0 12.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.452 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 12.453 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 12.453 * [backup-simplify]: Simplify (/ 1 1) into 1 12.453 * [taylor]: Taking taylor expansion of 1 in f 12.454 * [backup-simplify]: Simplify 1 into 1 12.454 * [backup-simplify]: Simplify 0 into 0 12.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 12.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.455 * [backup-simplify]: Simplify (+ 0 0) into 0 12.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 12.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 12.457 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 12.457 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.457 * [taylor]: Taking taylor expansion of f in f 12.457 * [backup-simplify]: Simplify 0 into 0 12.457 * [backup-simplify]: Simplify 1 into 1 12.458 * [backup-simplify]: Simplify (/ 1 1) into 1 12.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.460 * [backup-simplify]: Simplify (- 0) into 0 12.460 * [backup-simplify]: Simplify 0 into 0 12.460 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 12.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.462 * [backup-simplify]: Simplify (+ 0 0) into 0 12.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 12.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 12.465 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 12.465 * [taylor]: Taking taylor expansion of (pow f 2) in f 12.465 * [taylor]: Taking taylor expansion of f in f 12.465 * [backup-simplify]: Simplify 0 into 0 12.465 * [backup-simplify]: Simplify 1 into 1 12.465 * [backup-simplify]: Simplify (* 1 1) into 1 12.466 * [backup-simplify]: Simplify (/ 1 1) into 1 12.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.472 * [backup-simplify]: Simplify 0 into 0 12.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.473 * [backup-simplify]: Simplify (- 0) into 0 12.473 * [backup-simplify]: Simplify 0 into 0 12.473 * [backup-simplify]: Simplify 0 into 0 12.473 * [backup-simplify]: Simplify 0 into 0 12.474 * * * * [progress]: [ 4 / 4 ] generating series at (2) 12.474 * [backup-simplify]: Simplify (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) into (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 12.474 * [approximate]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in (f n) around 0 12.474 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 12.474 * [taylor]: Taking taylor expansion of -1 in n 12.474 * [backup-simplify]: Simplify -1 into -1 12.475 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 12.475 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 12.475 * [taylor]: Taking taylor expansion of f in n 12.475 * [backup-simplify]: Simplify f into f 12.475 * [taylor]: Taking taylor expansion of (+ n f) in n 12.475 * [taylor]: Taking taylor expansion of n in n 12.475 * [backup-simplify]: Simplify 0 into 0 12.475 * [backup-simplify]: Simplify 1 into 1 12.475 * [taylor]: Taking taylor expansion of f in n 12.475 * [backup-simplify]: Simplify f into f 12.475 * [backup-simplify]: Simplify (+ 0 f) into f 12.475 * [backup-simplify]: Simplify (/ f f) into 1 12.475 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 12.475 * [taylor]: Taking taylor expansion of n in n 12.475 * [backup-simplify]: Simplify 0 into 0 12.475 * [backup-simplify]: Simplify 1 into 1 12.475 * [taylor]: Taking taylor expansion of (+ n f) in n 12.475 * [taylor]: Taking taylor expansion of n in n 12.475 * [backup-simplify]: Simplify 0 into 0 12.475 * [backup-simplify]: Simplify 1 into 1 12.475 * [taylor]: Taking taylor expansion of f in n 12.475 * [backup-simplify]: Simplify f into f 12.475 * [backup-simplify]: Simplify (+ 0 f) into f 12.476 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.476 * [backup-simplify]: Simplify (+ 1 0) into 1 12.477 * [backup-simplify]: Simplify (/ -1 1) into -1 12.477 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 12.477 * [taylor]: Taking taylor expansion of -1 in f 12.477 * [backup-simplify]: Simplify -1 into -1 12.477 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 12.477 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 12.477 * [taylor]: Taking taylor expansion of f in f 12.477 * [backup-simplify]: Simplify 0 into 0 12.477 * [backup-simplify]: Simplify 1 into 1 12.477 * [taylor]: Taking taylor expansion of (+ n f) in f 12.477 * [taylor]: Taking taylor expansion of n in f 12.477 * [backup-simplify]: Simplify n into n 12.477 * [taylor]: Taking taylor expansion of f in f 12.477 * [backup-simplify]: Simplify 0 into 0 12.477 * [backup-simplify]: Simplify 1 into 1 12.477 * [backup-simplify]: Simplify (+ n 0) into n 12.477 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.477 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 12.477 * [taylor]: Taking taylor expansion of n in f 12.477 * [backup-simplify]: Simplify n into n 12.477 * [taylor]: Taking taylor expansion of (+ n f) in f 12.477 * [taylor]: Taking taylor expansion of n in f 12.477 * [backup-simplify]: Simplify n into n 12.477 * [taylor]: Taking taylor expansion of f in f 12.477 * [backup-simplify]: Simplify 0 into 0 12.478 * [backup-simplify]: Simplify 1 into 1 12.478 * [backup-simplify]: Simplify (+ n 0) into n 12.478 * [backup-simplify]: Simplify (/ n n) into 1 12.478 * [backup-simplify]: Simplify (- 1) into -1 12.479 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.479 * [backup-simplify]: Simplify (/ -1 -1) into 1 12.479 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 12.479 * [taylor]: Taking taylor expansion of -1 in f 12.479 * [backup-simplify]: Simplify -1 into -1 12.479 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 12.479 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 12.479 * [taylor]: Taking taylor expansion of f in f 12.479 * [backup-simplify]: Simplify 0 into 0 12.479 * [backup-simplify]: Simplify 1 into 1 12.479 * [taylor]: Taking taylor expansion of (+ n f) in f 12.479 * [taylor]: Taking taylor expansion of n in f 12.479 * [backup-simplify]: Simplify n into n 12.479 * [taylor]: Taking taylor expansion of f in f 12.479 * [backup-simplify]: Simplify 0 into 0 12.479 * [backup-simplify]: Simplify 1 into 1 12.480 * [backup-simplify]: Simplify (+ n 0) into n 12.480 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.480 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 12.480 * [taylor]: Taking taylor expansion of n in f 12.480 * [backup-simplify]: Simplify n into n 12.480 * [taylor]: Taking taylor expansion of (+ n f) in f 12.480 * [taylor]: Taking taylor expansion of n in f 12.480 * [backup-simplify]: Simplify n into n 12.480 * [taylor]: Taking taylor expansion of f in f 12.480 * [backup-simplify]: Simplify 0 into 0 12.480 * [backup-simplify]: Simplify 1 into 1 12.480 * [backup-simplify]: Simplify (+ n 0) into n 12.480 * [backup-simplify]: Simplify (/ n n) into 1 12.481 * [backup-simplify]: Simplify (- 1) into -1 12.481 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.481 * [backup-simplify]: Simplify (/ -1 -1) into 1 12.482 * [taylor]: Taking taylor expansion of 1 in n 12.482 * [backup-simplify]: Simplify 1 into 1 12.482 * [backup-simplify]: Simplify 1 into 1 12.482 * [backup-simplify]: Simplify (+ 0 1) into 1 12.483 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 12.483 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 12.483 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 12.484 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) 12.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.484 * [taylor]: Taking taylor expansion of 2 in n 12.484 * [backup-simplify]: Simplify 2 into 2 12.484 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.484 * [taylor]: Taking taylor expansion of n in n 12.484 * [backup-simplify]: Simplify 0 into 0 12.484 * [backup-simplify]: Simplify 1 into 1 12.485 * [backup-simplify]: Simplify (/ 1 1) into 1 12.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.486 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.486 * [backup-simplify]: Simplify 0 into 0 12.486 * [backup-simplify]: Simplify 0 into 0 12.487 * [backup-simplify]: Simplify (+ 0 1) into 1 12.487 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 12.488 * [backup-simplify]: Simplify (+ 0 0) into 0 12.489 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 12.490 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 12.491 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 12.493 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 n)) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 2))) 12.493 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.493 * [taylor]: Taking taylor expansion of 2 in n 12.493 * [backup-simplify]: Simplify 2 into 2 12.493 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.493 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.493 * [taylor]: Taking taylor expansion of n in n 12.493 * [backup-simplify]: Simplify 0 into 0 12.493 * [backup-simplify]: Simplify 1 into 1 12.494 * [backup-simplify]: Simplify (* 1 1) into 1 12.494 * [backup-simplify]: Simplify (/ 1 1) into 1 12.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.499 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.499 * [backup-simplify]: Simplify 0 into 0 12.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.501 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.501 * [backup-simplify]: Simplify 0 into 0 12.501 * [backup-simplify]: Simplify 0 into 0 12.502 * [backup-simplify]: Simplify (+ 0 0) into 0 12.503 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 12.503 * [backup-simplify]: Simplify (+ 0 0) into 0 12.505 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 12.505 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 12.506 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 12.510 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 (pow n 3))) -1)) (* (* 2 (/ 1 n)) (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 (pow n 2))) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 3))) 12.510 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.510 * [taylor]: Taking taylor expansion of 2 in n 12.510 * [backup-simplify]: Simplify 2 into 2 12.510 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.510 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.510 * [taylor]: Taking taylor expansion of n in n 12.510 * [backup-simplify]: Simplify 0 into 0 12.510 * [backup-simplify]: Simplify 1 into 1 12.511 * [backup-simplify]: Simplify (* 1 1) into 1 12.511 * [backup-simplify]: Simplify (* 1 1) into 1 12.511 * [backup-simplify]: Simplify (/ 1 1) into 1 12.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.522 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.522 * [backup-simplify]: Simplify 0 into 0 12.522 * [backup-simplify]: Simplify 1 into 1 12.523 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 12.523 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 12.523 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 12.523 * [taylor]: Taking taylor expansion of -1 in n 12.523 * [backup-simplify]: Simplify -1 into -1 12.523 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 12.523 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 12.523 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 12.523 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.523 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.523 * [taylor]: Taking taylor expansion of f in n 12.523 * [backup-simplify]: Simplify f into f 12.523 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.523 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.523 * [taylor]: Taking taylor expansion of n in n 12.523 * [backup-simplify]: Simplify 0 into 0 12.523 * [backup-simplify]: Simplify 1 into 1 12.524 * [backup-simplify]: Simplify (/ 1 1) into 1 12.524 * [taylor]: Taking taylor expansion of f in n 12.524 * [backup-simplify]: Simplify f into f 12.524 * [backup-simplify]: Simplify (+ 0 1) into 1 12.525 * [backup-simplify]: Simplify (* 1 f) into f 12.525 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.525 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 12.525 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 12.525 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.525 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.525 * [taylor]: Taking taylor expansion of f in n 12.525 * [backup-simplify]: Simplify f into f 12.525 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.525 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.525 * [taylor]: Taking taylor expansion of n in n 12.525 * [backup-simplify]: Simplify 0 into 0 12.525 * [backup-simplify]: Simplify 1 into 1 12.526 * [backup-simplify]: Simplify (/ 1 1) into 1 12.526 * [taylor]: Taking taylor expansion of n in n 12.526 * [backup-simplify]: Simplify 0 into 0 12.526 * [backup-simplify]: Simplify 1 into 1 12.526 * [backup-simplify]: Simplify (+ 0 1) into 1 12.527 * [backup-simplify]: Simplify (* 1 0) into 0 12.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.528 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 12.528 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 12.529 * [backup-simplify]: Simplify (/ 1 1) into 1 12.529 * [backup-simplify]: Simplify (- 1) into -1 12.529 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.529 * [backup-simplify]: Simplify (/ -1 -1) into 1 12.529 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 12.529 * [taylor]: Taking taylor expansion of -1 in f 12.529 * [backup-simplify]: Simplify -1 into -1 12.529 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 12.530 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 12.530 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 12.530 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.530 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.530 * [taylor]: Taking taylor expansion of f in f 12.530 * [backup-simplify]: Simplify 0 into 0 12.530 * [backup-simplify]: Simplify 1 into 1 12.530 * [backup-simplify]: Simplify (/ 1 1) into 1 12.530 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.530 * [taylor]: Taking taylor expansion of n in f 12.530 * [backup-simplify]: Simplify n into n 12.530 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.530 * [taylor]: Taking taylor expansion of f in f 12.530 * [backup-simplify]: Simplify 0 into 0 12.530 * [backup-simplify]: Simplify 1 into 1 12.530 * [backup-simplify]: Simplify (+ 1 0) into 1 12.531 * [backup-simplify]: Simplify (* 1 0) into 0 12.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.531 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.532 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 12.532 * [backup-simplify]: Simplify (/ 1 1) into 1 12.532 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 12.532 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 12.532 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.532 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.532 * [taylor]: Taking taylor expansion of f in f 12.532 * [backup-simplify]: Simplify 0 into 0 12.532 * [backup-simplify]: Simplify 1 into 1 12.532 * [backup-simplify]: Simplify (/ 1 1) into 1 12.532 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.532 * [taylor]: Taking taylor expansion of n in f 12.532 * [backup-simplify]: Simplify n into n 12.532 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.532 * [taylor]: Taking taylor expansion of n in f 12.532 * [backup-simplify]: Simplify n into n 12.533 * [backup-simplify]: Simplify (+ 1 0) into 1 12.533 * [backup-simplify]: Simplify (* 1 n) into n 12.533 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.533 * [backup-simplify]: Simplify (+ 1 0) into 1 12.533 * [backup-simplify]: Simplify (/ -1 1) into -1 12.533 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 12.533 * [taylor]: Taking taylor expansion of -1 in f 12.533 * [backup-simplify]: Simplify -1 into -1 12.533 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 12.533 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 12.533 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 12.533 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.533 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.533 * [taylor]: Taking taylor expansion of f in f 12.534 * [backup-simplify]: Simplify 0 into 0 12.534 * [backup-simplify]: Simplify 1 into 1 12.534 * [backup-simplify]: Simplify (/ 1 1) into 1 12.534 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.534 * [taylor]: Taking taylor expansion of n in f 12.534 * [backup-simplify]: Simplify n into n 12.534 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.534 * [taylor]: Taking taylor expansion of f in f 12.534 * [backup-simplify]: Simplify 0 into 0 12.534 * [backup-simplify]: Simplify 1 into 1 12.534 * [backup-simplify]: Simplify (+ 1 0) into 1 12.534 * [backup-simplify]: Simplify (* 1 0) into 0 12.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.535 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.535 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 12.536 * [backup-simplify]: Simplify (/ 1 1) into 1 12.536 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 12.536 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 12.536 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.536 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.536 * [taylor]: Taking taylor expansion of f in f 12.536 * [backup-simplify]: Simplify 0 into 0 12.536 * [backup-simplify]: Simplify 1 into 1 12.539 * [backup-simplify]: Simplify (/ 1 1) into 1 12.539 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.539 * [taylor]: Taking taylor expansion of n in f 12.539 * [backup-simplify]: Simplify n into n 12.539 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.539 * [taylor]: Taking taylor expansion of n in f 12.539 * [backup-simplify]: Simplify n into n 12.539 * [backup-simplify]: Simplify (+ 1 0) into 1 12.540 * [backup-simplify]: Simplify (* 1 n) into n 12.540 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.540 * [backup-simplify]: Simplify (+ 1 0) into 1 12.540 * [backup-simplify]: Simplify (/ -1 1) into -1 12.540 * [taylor]: Taking taylor expansion of -1 in n 12.540 * [backup-simplify]: Simplify -1 into -1 12.540 * [backup-simplify]: Simplify -1 into -1 12.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.541 * [backup-simplify]: Simplify (+ 0 0) into 0 12.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 12.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 12.542 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.542 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 12.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 12.543 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.543 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.543 * [taylor]: Taking taylor expansion of 2 in n 12.543 * [backup-simplify]: Simplify 2 into 2 12.543 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.543 * [taylor]: Taking taylor expansion of n in n 12.543 * [backup-simplify]: Simplify 0 into 0 12.543 * [backup-simplify]: Simplify 1 into 1 12.543 * [backup-simplify]: Simplify (/ 1 1) into 1 12.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.544 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.545 * [backup-simplify]: Simplify (- 0) into 0 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.546 * [backup-simplify]: Simplify (+ 0 0) into 0 12.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 12.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 12.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.548 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.548 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 12.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 12.549 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 12.549 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 12.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.550 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.551 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.551 * [taylor]: Taking taylor expansion of 2 in n 12.551 * [backup-simplify]: Simplify 2 into 2 12.551 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.551 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.551 * [taylor]: Taking taylor expansion of n in n 12.551 * [backup-simplify]: Simplify 0 into 0 12.551 * [backup-simplify]: Simplify 1 into 1 12.551 * [backup-simplify]: Simplify (* 1 1) into 1 12.551 * [backup-simplify]: Simplify (/ 1 1) into 1 12.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.554 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.554 * [backup-simplify]: Simplify (- 0) into 0 12.554 * [backup-simplify]: Simplify 0 into 0 12.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.555 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.556 * [backup-simplify]: Simplify (- 0) into 0 12.556 * [backup-simplify]: Simplify 0 into 0 12.556 * [backup-simplify]: Simplify 0 into 0 12.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.557 * [backup-simplify]: Simplify (+ 0 0) into 0 12.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 12.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.563 * [backup-simplify]: Simplify (+ 0 0) into 0 12.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 12.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 12.566 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 12.567 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 12.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.571 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.571 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.571 * [taylor]: Taking taylor expansion of 2 in n 12.571 * [backup-simplify]: Simplify 2 into 2 12.571 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.571 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.571 * [taylor]: Taking taylor expansion of n in n 12.571 * [backup-simplify]: Simplify 0 into 0 12.571 * [backup-simplify]: Simplify 1 into 1 12.571 * [backup-simplify]: Simplify (* 1 1) into 1 12.572 * [backup-simplify]: Simplify (* 1 1) into 1 12.572 * [backup-simplify]: Simplify (/ 1 1) into 1 12.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.583 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.583 * [backup-simplify]: Simplify (- 0) into 0 12.583 * [backup-simplify]: Simplify 0 into 0 12.583 * [backup-simplify]: Simplify -1 into -1 12.585 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 12.585 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 12.585 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 12.585 * [taylor]: Taking taylor expansion of -1 in n 12.585 * [backup-simplify]: Simplify -1 into -1 12.585 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 12.585 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 12.585 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 12.585 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.585 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.585 * [taylor]: Taking taylor expansion of f in n 12.585 * [backup-simplify]: Simplify f into f 12.585 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.585 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.585 * [taylor]: Taking taylor expansion of n in n 12.585 * [backup-simplify]: Simplify 0 into 0 12.585 * [backup-simplify]: Simplify 1 into 1 12.586 * [backup-simplify]: Simplify (/ 1 1) into 1 12.586 * [taylor]: Taking taylor expansion of f in n 12.586 * [backup-simplify]: Simplify f into f 12.586 * [backup-simplify]: Simplify (+ 0 1) into 1 12.586 * [backup-simplify]: Simplify (* 1 f) into f 12.586 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.586 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 12.586 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 12.587 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.587 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.587 * [taylor]: Taking taylor expansion of f in n 12.587 * [backup-simplify]: Simplify f into f 12.587 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.587 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.587 * [taylor]: Taking taylor expansion of n in n 12.587 * [backup-simplify]: Simplify 0 into 0 12.587 * [backup-simplify]: Simplify 1 into 1 12.587 * [backup-simplify]: Simplify (/ 1 1) into 1 12.587 * [taylor]: Taking taylor expansion of n in n 12.587 * [backup-simplify]: Simplify 0 into 0 12.587 * [backup-simplify]: Simplify 1 into 1 12.588 * [backup-simplify]: Simplify (+ 0 1) into 1 12.588 * [backup-simplify]: Simplify (* 1 0) into 0 12.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.589 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 12.590 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 12.590 * [backup-simplify]: Simplify (/ 1 1) into 1 12.591 * [backup-simplify]: Simplify (- 1) into -1 12.591 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.592 * [backup-simplify]: Simplify (/ -1 -1) into 1 12.592 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 12.592 * [taylor]: Taking taylor expansion of -1 in f 12.592 * [backup-simplify]: Simplify -1 into -1 12.592 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 12.592 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 12.592 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 12.592 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.592 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.592 * [taylor]: Taking taylor expansion of f in f 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify 1 into 1 12.593 * [backup-simplify]: Simplify (/ 1 1) into 1 12.593 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.593 * [taylor]: Taking taylor expansion of n in f 12.593 * [backup-simplify]: Simplify n into n 12.593 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.593 * [taylor]: Taking taylor expansion of f in f 12.593 * [backup-simplify]: Simplify 0 into 0 12.593 * [backup-simplify]: Simplify 1 into 1 12.593 * [backup-simplify]: Simplify (+ 1 0) into 1 12.594 * [backup-simplify]: Simplify (* 1 0) into 0 12.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.595 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.595 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 12.596 * [backup-simplify]: Simplify (/ 1 1) into 1 12.596 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 12.596 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 12.596 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.596 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.596 * [taylor]: Taking taylor expansion of f in f 12.596 * [backup-simplify]: Simplify 0 into 0 12.596 * [backup-simplify]: Simplify 1 into 1 12.596 * [backup-simplify]: Simplify (/ 1 1) into 1 12.596 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.597 * [taylor]: Taking taylor expansion of n in f 12.597 * [backup-simplify]: Simplify n into n 12.597 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.597 * [taylor]: Taking taylor expansion of n in f 12.597 * [backup-simplify]: Simplify n into n 12.597 * [backup-simplify]: Simplify (+ 1 0) into 1 12.597 * [backup-simplify]: Simplify (* 1 n) into n 12.597 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.598 * [backup-simplify]: Simplify (+ 1 0) into 1 12.598 * [backup-simplify]: Simplify (/ -1 1) into -1 12.598 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 12.598 * [taylor]: Taking taylor expansion of -1 in f 12.598 * [backup-simplify]: Simplify -1 into -1 12.599 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 12.599 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 12.599 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 12.599 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.599 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.599 * [taylor]: Taking taylor expansion of f in f 12.599 * [backup-simplify]: Simplify 0 into 0 12.599 * [backup-simplify]: Simplify 1 into 1 12.600 * [backup-simplify]: Simplify (/ 1 1) into 1 12.600 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.600 * [taylor]: Taking taylor expansion of n in f 12.600 * [backup-simplify]: Simplify n into n 12.600 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.600 * [taylor]: Taking taylor expansion of f in f 12.600 * [backup-simplify]: Simplify 0 into 0 12.600 * [backup-simplify]: Simplify 1 into 1 12.600 * [backup-simplify]: Simplify (+ 1 0) into 1 12.601 * [backup-simplify]: Simplify (* 1 0) into 0 12.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.602 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.602 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 12.603 * [backup-simplify]: Simplify (/ 1 1) into 1 12.603 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 12.603 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 12.603 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.603 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.603 * [taylor]: Taking taylor expansion of f in f 12.603 * [backup-simplify]: Simplify 0 into 0 12.603 * [backup-simplify]: Simplify 1 into 1 12.603 * [backup-simplify]: Simplify (/ 1 1) into 1 12.604 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.604 * [taylor]: Taking taylor expansion of n in f 12.604 * [backup-simplify]: Simplify n into n 12.604 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.604 * [taylor]: Taking taylor expansion of n in f 12.604 * [backup-simplify]: Simplify n into n 12.604 * [backup-simplify]: Simplify (+ 1 0) into 1 12.604 * [backup-simplify]: Simplify (* 1 n) into n 12.604 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.605 * [backup-simplify]: Simplify (+ 1 0) into 1 12.605 * [backup-simplify]: Simplify (/ -1 1) into -1 12.606 * [taylor]: Taking taylor expansion of -1 in n 12.606 * [backup-simplify]: Simplify -1 into -1 12.606 * [backup-simplify]: Simplify -1 into -1 12.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.607 * [backup-simplify]: Simplify (+ 0 0) into 0 12.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 12.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 12.609 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.610 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 12.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 12.611 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.611 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.611 * [taylor]: Taking taylor expansion of 2 in n 12.611 * [backup-simplify]: Simplify 2 into 2 12.611 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.611 * [taylor]: Taking taylor expansion of n in n 12.611 * [backup-simplify]: Simplify 0 into 0 12.611 * [backup-simplify]: Simplify 1 into 1 12.611 * [backup-simplify]: Simplify (/ 1 1) into 1 12.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.613 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.613 * [backup-simplify]: Simplify (- 0) into 0 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify 0 into 0 12.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.614 * [backup-simplify]: Simplify (+ 0 0) into 0 12.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 12.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 12.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.616 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.617 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 12.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 12.617 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 12.618 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 12.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.619 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.619 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.619 * [taylor]: Taking taylor expansion of 2 in n 12.619 * [backup-simplify]: Simplify 2 into 2 12.619 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.619 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.619 * [taylor]: Taking taylor expansion of n in n 12.619 * [backup-simplify]: Simplify 0 into 0 12.619 * [backup-simplify]: Simplify 1 into 1 12.619 * [backup-simplify]: Simplify (* 1 1) into 1 12.620 * [backup-simplify]: Simplify (/ 1 1) into 1 12.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.622 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.623 * [backup-simplify]: Simplify (- 0) into 0 12.623 * [backup-simplify]: Simplify 0 into 0 12.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.624 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.624 * [backup-simplify]: Simplify (- 0) into 0 12.624 * [backup-simplify]: Simplify 0 into 0 12.624 * [backup-simplify]: Simplify 0 into 0 12.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.625 * [backup-simplify]: Simplify (+ 0 0) into 0 12.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 12.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.629 * [backup-simplify]: Simplify (+ 0 0) into 0 12.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 12.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 12.630 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 12.631 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 12.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.632 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.632 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.632 * [taylor]: Taking taylor expansion of 2 in n 12.632 * [backup-simplify]: Simplify 2 into 2 12.633 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.633 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.633 * [taylor]: Taking taylor expansion of n in n 12.633 * [backup-simplify]: Simplify 0 into 0 12.633 * [backup-simplify]: Simplify 1 into 1 12.633 * [backup-simplify]: Simplify (* 1 1) into 1 12.633 * [backup-simplify]: Simplify (* 1 1) into 1 12.633 * [backup-simplify]: Simplify (/ 1 1) into 1 12.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.639 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.639 * [backup-simplify]: Simplify (- 0) into 0 12.639 * [backup-simplify]: Simplify 0 into 0 12.639 * [backup-simplify]: Simplify -1 into -1 12.639 * * * [progress]: simplifying candidates 12.639 * * * * [progress]: [ 1 / 197 ] simplifiying candidate #real (real->posit16 (- (/ f (+ f n)) (/ n (+ f n)))))))> 12.640 * * * * [progress]: [ 2 / 197 ] simplifiying candidate # 12.640 * * * * [progress]: [ 3 / 197 ] simplifiying candidate # 12.640 * * * * [progress]: [ 4 / 197 ] simplifiying candidate # 12.640 * * * * [progress]: [ 5 / 197 ] simplifiying candidate # 12.640 * * * * [progress]: [ 6 / 197 ] simplifiying candidate # 12.640 * * * * [progress]: [ 7 / 197 ] simplifiying candidate # 12.640 * * * * [progress]: [ 8 / 197 ] simplifiying candidate # 12.640 * * * * [progress]: [ 9 / 197 ] simplifiying candidate # 12.640 * * * * [progress]: [ 10 / 197 ] simplifiying candidate # 12.640 * * * * [progress]: [ 11 / 197 ] simplifiying candidate # 12.640 * * * * [progress]: [ 12 / 197 ] simplifiying candidate # 12.640 * * * * [progress]: [ 13 / 197 ] simplifiying candidate # 12.640 * * * * [progress]: [ 14 / 197 ] simplifiying candidate # 12.640 * * * * [progress]: [ 15 / 197 ] simplifiying candidate # 12.640 * * * * [progress]: [ 16 / 197 ] 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* [progress]: [ 31 / 197 ] simplifiying candidate # 12.641 * * * * [progress]: [ 32 / 197 ] simplifiying candidate # 12.641 * * * * [progress]: [ 33 / 197 ] simplifiying candidate # 12.641 * * * * [progress]: [ 34 / 197 ] simplifiying candidate # 12.641 * * * * [progress]: [ 35 / 197 ] simplifiying candidate # 12.641 * * * * [progress]: [ 36 / 197 ] simplifiying candidate # 12.641 * * * * [progress]: [ 37 / 197 ] simplifiying candidate # 12.641 * * * * [progress]: [ 38 / 197 ] simplifiying candidate # 12.641 * * * * [progress]: [ 39 / 197 ] simplifiying candidate # 12.641 * * * * [progress]: [ 40 / 197 ] simplifiying candidate # 12.642 * * * * [progress]: [ 41 / 197 ] simplifiying candidate # 12.642 * * * * [progress]: [ 42 / 197 ] simplifiying candidate # 12.642 * * * * [progress]: [ 43 / 197 ] simplifiying candidate # 12.642 * * * * [progress]: [ 44 / 197 ] simplifiying candidate # 12.642 * * * * [progress]: [ 45 / 197 ] simplifiying candidate # 12.642 * * * * [progress]: [ 46 / 197 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# 12.643 * * * * [progress]: [ 62 / 197 ] simplifiying candidate # 12.643 * * * * [progress]: [ 63 / 197 ] simplifiying candidate # 12.643 * * * * [progress]: [ 64 / 197 ] simplifiying candidate #real (real->posit16 (/ n (+ f n)))))))> 12.643 * * * * [progress]: [ 65 / 197 ] simplifiying candidate # 12.643 * * * * [progress]: [ 66 / 197 ] simplifiying candidate # 12.643 * * * * [progress]: [ 67 / 197 ] simplifiying candidate # 12.643 * * * * [progress]: [ 68 / 197 ] simplifiying candidate # 12.643 * * * * [progress]: [ 69 / 197 ] simplifiying candidate # 12.643 * * * * [progress]: [ 70 / 197 ] simplifiying candidate # 12.643 * * * * [progress]: [ 71 / 197 ] simplifiying candidate # 12.643 * * * * [progress]: [ 72 / 197 ] simplifiying candidate # 12.643 * * * * [progress]: [ 73 / 197 ] simplifiying candidate # 12.644 * * * * [progress]: [ 74 / 197 ] simplifiying candidate # 12.644 * * * * [progress]: [ 75 / 197 ] simplifiying candidate # 12.644 * * * * [progress]: [ 76 / 197 ] 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[progress]: [ 196 / 197 ] simplifiying candidate # 12.651 * * * * [progress]: [ 197 / 197 ] simplifiying candidate # 12.655 * [simplify]: Simplifying: (real->posit16 (- (/ f (+ f n)) (/ n (+ f n)))) (/ (exp (/ f (+ f n))) (exp (/ n (+ f n)))) (log (- (/ f (+ f n)) (/ n (+ f n)))) (exp (- (/ f (+ f n)) (/ n (+ f n)))) (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n))))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (* (* (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n)))) (sqrt (- (/ f (+ f n)) (/ n (+ f n)))) (sqrt (- (/ f (+ f n)) (/ n (+ f n)))) (- f n) (- (* f (+ f n)) (* (+ f n) n)) (* (+ f n) (+ f n)) (- (pow (/ f (+ f n)) 3) (pow (/ n (+ f n)) 3)) (+ (* (/ f (+ f n)) (/ f (+ f n))) (+ (* (/ n (+ f n)) (/ n (+ f n))) (* (/ f (+ f n)) (/ n (+ f n))))) (- (/ n (+ f n))) (- (* (/ f (+ f n)) (/ f (+ f n))) (* (/ n (+ f n)) (/ n (+ f n)))) (+ (/ f (+ f n)) (/ n (+ f n))) (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n)))) (- (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n)))) (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n)))) (- (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n)))) (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (/ f (cbrt (+ f n))) (/ n (cbrt (+ f n)))) (- (/ f (sqrt (+ f n))) (/ n (sqrt (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- f n) (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3)))) (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n)))) (- (/ n (+ f n))) (real->posit16 (/ f (+ f n))) (- (log f) (log (+ f n))) (log (/ f (+ f n))) (exp (/ f (+ f n))) (/ (* (* f f) f) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (* (* (/ f (+ f n)) (/ f (+ f n))) (/ f (+ f n))) (sqrt (/ f (+ f n))) (sqrt (/ f (+ f n))) (- f) (- (+ f n)) (/ (* (cbrt f) (cbrt f)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt f) (cbrt (+ f n))) (/ (* (cbrt f) (cbrt f)) (sqrt (+ f n))) (/ (cbrt f) (sqrt (+ f n))) (/ (* (cbrt f) (cbrt f)) 1) (/ (cbrt f) (+ f n)) (/ (* (cbrt f) (cbrt f)) 1) (/ (cbrt f) (+ f n)) (/ (sqrt f) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt f) (cbrt (+ f n))) (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt f) 1) (/ (sqrt f) (+ f n)) (/ (sqrt f) 1) (/ (sqrt f) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ f (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ f (sqrt (+ f n))) (/ 1 1) (/ f (+ f n)) (/ 1 1) (/ f (+ f n)) (/ 1 (+ f n)) (/ (+ f n) f) (/ f (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ f (sqrt (+ f n))) (/ f 1) (/ f 1) (/ (+ f n) (cbrt f)) (/ (+ f n) (sqrt f)) (/ (+ f n) f) (/ f (+ (pow f 3) (pow n 3))) (/ f (- (* f f) (* n n))) (real->posit16 (/ n (+ f n))) (- (log n) (log (+ f n))) (log (/ n (+ f n))) (exp (/ n (+ f n))) (/ (* (* n n) n) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ f n)))) (cbrt (/ n (+ f n))) (* (* (/ n (+ f n)) (/ n (+ f n))) (/ n (+ f n))) (sqrt (/ n (+ f n))) (sqrt (/ n (+ f n))) (- n) (- (+ f n)) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n))) (/ (cbrt n) (sqrt (+ f n))) (/ (* (cbrt n) (cbrt n)) 1) (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1) (/ (cbrt n) (+ f n)) (/ (sqrt n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt n) (cbrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))) (/ (sqrt n) 1) (/ (sqrt n) (+ f n)) (/ (sqrt n) 1) (/ (sqrt n) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ n (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ n (sqrt (+ f n))) (/ 1 1) (/ n (+ f n)) (/ 1 1) (/ n (+ f n)) (/ 1 (+ f n)) (/ (+ f n) n) (/ n (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ n (sqrt (+ f n))) (/ n 1) (/ n 1) (/ (+ f n) (cbrt n)) (/ (+ f n) (sqrt n)) (/ (+ 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Extracting #0: cost 185 inf + 0 15.637 * * [simplify]: Extracting #1: cost 1024 inf + 460 15.649 * * [simplify]: Extracting #2: cost 1604 inf + 29127 15.682 * * [simplify]: Extracting #3: cost 927 inf + 212978 15.763 * * [simplify]: Extracting #4: cost 86 inf + 364548 15.841 * * [simplify]: Extracting #5: cost 11 inf + 380835 15.937 * * [simplify]: Extracting #6: cost 0 inf + 383520 16.055 * [simplify]: Simplified to: (real->posit16 (- (/ f (+ n f)) (/ n (+ n f)))) (exp (- (/ f (+ n f)) (/ n (+ n f)))) (log (- (/ f (+ n f)) (/ n (+ n f)))) (exp (- (/ f (+ n f)) (/ n (+ n f)))) (* (cbrt (- (/ f (+ n f)) (/ n (+ n f)))) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (cbrt (- (/ f (+ n f)) (/ n (+ n f)))) (* (* (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f)))) (- (/ f (+ n f)) (/ n (+ n f)))) (sqrt (- (/ f (+ n f)) (/ n (+ n f)))) (sqrt (- (/ f (+ n f)) (/ n (+ n f)))) (- f n) (- (* (+ n f) f) (* n (+ n f))) (* (+ n f) (+ n f)) (- (* (/ f (+ n f)) (* (/ f (+ n f)) (/ f (+ n f)))) 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(/ n (+ n f)))) (sqrt -1) (/ (sqrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (sqrt -1) (/ (sqrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (* (sqrt -1) (+ n f)) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (* f f) (* n (- n f)))) (/ (sqrt -1) (- (/ f (+ (* f (* f f)) (* (* n n) n))) (/ n (+ (* f (* f f)) (* (* n n) n))))) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (- (/ (/ f (+ f n)) (- f n)) (/ n (- (* f f) (* n n))))) (/ (/ 1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ 1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (/ 1 (+ (sqrt (/ n (+ n f))) (sqrt (/ f (+ n f))))) (/ -1 (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ 1 (+ (/ (sqrt n) (sqrt (+ n f))) (sqrt (/ f (+ n f))))) (/ -1 (- (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ 1 (+ (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (- (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ 1 (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ -1 (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ -1 (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f))))) (sqrt (+ n f)) (/ -1 (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f))))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (+ n f) (/ -1 (- f n)) (/ 1 (+ (* f f) (* n (- n f)))) (/ -1 (- (/ f (+ (* f (* f f)) (* (* n n) n))) (/ n (+ (* f (* f f)) (* (* n n) n))))) (/ 1 (- f n)) (/ -1 (- (/ (/ f (+ f n)) (- f n)) (/ n (- (* f f) (* n n))))) (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) (- (/ f (- (- f) n)) (/ n (- (- f) n))) (/ (/ -1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) -1 (/ -1 (+ (sqrt (/ n (+ n f))) (sqrt (/ f (+ n f))))) (/ -1 (+ (/ (sqrt n) (sqrt (+ n f))) (sqrt (/ f (+ n f))))) (/ -1 (+ (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (- (sqrt (+ n f))) -1 -1 -1 -1 -1 (- (- f) n) (/ -1 (+ (* f f) (* n (- n f)))) (/ -1 (- f n)) (/ (- (/ f (+ n f)) (/ n (+ n f))) (cbrt -1)) (/ (- (/ f (+ n f)) (/ n (+ n f))) (sqrt -1)) (- (/ f (- (- f) n)) (/ n (- (- f) n))) (/ -1 (- f n)) (/ -1 (- (* (+ n f) f) (* n (+ n f)))) (/ -1 (- (* (/ f (+ n f)) (* (/ f (+ n f)) (/ f (+ n f)))) (* (/ n (+ n f)) (* (/ n (+ n f)) (/ n (+ n f)))))) (/ -1 (* (+ (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))))) -1 1 1 0 0 0 0 0 0 1 -1 -1 16.069 * * * [progress]: adding candidates to table 17.770 * * [progress]: iteration 4 / 4 17.770 * * * [progress]: picking best candidate 17.805 * * * * [pick]: Picked # 17.806 * * * [progress]: localizing error 18.102 * * * [progress]: generating rewritten candidates 18.102 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 18.230 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 18.376 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 18.503 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 18.812 * * * [progress]: generating series expansions 18.812 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 18.812 * [backup-simplify]: Simplify (* (/ f (+ n f)) (/ f (+ n f))) into (/ (pow f 2) (pow (+ n f) 2)) 18.813 * [approximate]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in (f n) around 0 18.813 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in n 18.813 * [taylor]: Taking taylor expansion of (pow f 2) in n 18.813 * [taylor]: Taking taylor expansion of f in n 18.813 * [backup-simplify]: Simplify f into f 18.813 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 18.813 * [taylor]: Taking taylor expansion of (+ n f) in n 18.813 * [taylor]: Taking taylor expansion of n in n 18.813 * [backup-simplify]: Simplify 0 into 0 18.813 * [backup-simplify]: Simplify 1 into 1 18.813 * [taylor]: Taking taylor expansion of f in n 18.813 * [backup-simplify]: Simplify f into f 18.813 * [backup-simplify]: Simplify (+ 0 f) into f 18.813 * [backup-simplify]: Simplify (* f f) into (pow f 2) 18.813 * [backup-simplify]: Simplify (* f f) into (pow f 2) 18.813 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 18.813 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in f 18.813 * [taylor]: Taking taylor expansion of (pow f 2) in f 18.813 * [taylor]: Taking taylor expansion of f in f 18.813 * [backup-simplify]: Simplify 0 into 0 18.813 * [backup-simplify]: Simplify 1 into 1 18.813 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 18.813 * [taylor]: Taking taylor expansion of (+ n f) in f 18.813 * [taylor]: Taking taylor expansion of n in f 18.814 * [backup-simplify]: Simplify n into n 18.814 * [taylor]: Taking taylor expansion of f in f 18.814 * [backup-simplify]: Simplify 0 into 0 18.814 * [backup-simplify]: Simplify 1 into 1 18.814 * [backup-simplify]: Simplify (+ n 0) into n 18.814 * [backup-simplify]: Simplify (* 1 1) into 1 18.814 * [backup-simplify]: Simplify (* n n) into (pow n 2) 18.815 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 18.815 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in f 18.815 * [taylor]: Taking taylor expansion of (pow f 2) in f 18.815 * [taylor]: Taking taylor expansion of f in f 18.815 * [backup-simplify]: Simplify 0 into 0 18.815 * [backup-simplify]: Simplify 1 into 1 18.815 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 18.815 * [taylor]: Taking taylor expansion of (+ n f) in f 18.815 * [taylor]: Taking taylor expansion of n in f 18.815 * [backup-simplify]: Simplify n into n 18.815 * [taylor]: Taking taylor expansion of f in f 18.815 * [backup-simplify]: Simplify 0 into 0 18.815 * [backup-simplify]: Simplify 1 into 1 18.815 * [backup-simplify]: Simplify (+ n 0) into n 18.815 * [backup-simplify]: Simplify (* 1 1) into 1 18.815 * [backup-simplify]: Simplify (* n n) into (pow n 2) 18.816 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 18.816 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 18.816 * [taylor]: Taking taylor expansion of (pow n 2) in n 18.816 * [taylor]: Taking taylor expansion of n in n 18.816 * [backup-simplify]: Simplify 0 into 0 18.816 * [backup-simplify]: Simplify 1 into 1 18.816 * [backup-simplify]: Simplify (* 1 1) into 1 18.816 * [backup-simplify]: Simplify (/ 1 1) into 1 18.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.819 * [backup-simplify]: Simplify 0 into 0 18.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.819 * [backup-simplify]: Simplify (+ 0 1) into 1 18.820 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 18.820 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* (/ 1 (pow n 2)) (/ (* 2 n) (pow n 2))))) into (- (* 2 (/ 1 (pow n 3)))) 18.821 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 18.821 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 18.821 * [taylor]: Taking taylor expansion of 2 in n 18.821 * [backup-simplify]: Simplify 2 into 2 18.821 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 18.821 * [taylor]: Taking taylor expansion of (pow n 3) in n 18.821 * [taylor]: Taking taylor expansion of n in n 18.821 * [backup-simplify]: Simplify 0 into 0 18.821 * [backup-simplify]: Simplify 1 into 1 18.821 * [backup-simplify]: Simplify (* 1 1) into 1 18.821 * [backup-simplify]: Simplify (* 1 1) into 1 18.821 * [backup-simplify]: Simplify (/ 1 1) into 1 18.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.827 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.827 * [backup-simplify]: Simplify (- 0) into 0 18.828 * [backup-simplify]: Simplify 0 into 0 18.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.829 * [backup-simplify]: Simplify 0 into 0 18.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.830 * [backup-simplify]: Simplify (+ 0 0) into 0 18.830 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 18.832 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* (/ 1 (pow n 2)) (/ 1 (pow n 2))) (* (- (* 2 (/ 1 (pow n 3)))) (/ (* 2 n) (pow n 2))))) into (* 3 (/ 1 (pow n 4))) 18.832 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 4))) in n 18.832 * [taylor]: Taking taylor expansion of 3 in n 18.832 * [backup-simplify]: Simplify 3 into 3 18.832 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 18.832 * [taylor]: Taking taylor expansion of (pow n 4) in n 18.832 * [taylor]: Taking taylor expansion of n in n 18.832 * [backup-simplify]: Simplify 0 into 0 18.832 * [backup-simplify]: Simplify 1 into 1 18.832 * [backup-simplify]: Simplify (* 1 1) into 1 18.832 * [backup-simplify]: Simplify (* 1 1) into 1 18.833 * [backup-simplify]: Simplify (/ 1 1) into 1 18.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.844 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.844 * [backup-simplify]: Simplify 0 into 0 18.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.851 * [backup-simplify]: Simplify (- 0) into 0 18.851 * [backup-simplify]: Simplify 0 into 0 18.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.854 * [backup-simplify]: Simplify 0 into 0 18.854 * [backup-simplify]: Simplify 0 into 0 18.855 * [backup-simplify]: Simplify (* (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) (/ (/ 1 f) (+ (/ 1 n) (/ 1 f)))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) 18.855 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in (f n) around 0 18.855 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in n 18.855 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in n 18.855 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 18.855 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 18.855 * [taylor]: Taking taylor expansion of (/ 1 f) in n 18.855 * [taylor]: Taking taylor expansion of f in n 18.855 * [backup-simplify]: Simplify f into f 18.855 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 18.855 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.855 * [taylor]: Taking taylor expansion of n in n 18.855 * [backup-simplify]: Simplify 0 into 0 18.855 * [backup-simplify]: Simplify 1 into 1 18.856 * [backup-simplify]: Simplify (/ 1 1) into 1 18.856 * [backup-simplify]: Simplify (+ 0 1) into 1 18.856 * [taylor]: Taking taylor expansion of (pow f 2) in n 18.856 * [taylor]: Taking taylor expansion of f in n 18.856 * [backup-simplify]: Simplify f into f 18.857 * [backup-simplify]: Simplify (* 1 1) into 1 18.857 * [backup-simplify]: Simplify (* f f) into (pow f 2) 18.858 * [backup-simplify]: Simplify (* 1 (pow f 2)) into (pow f 2) 18.858 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 18.858 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 18.858 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 18.858 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 18.858 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 18.858 * [taylor]: Taking taylor expansion of (/ 1 f) in f 18.858 * [taylor]: Taking taylor expansion of f in f 18.858 * [backup-simplify]: Simplify 0 into 0 18.858 * [backup-simplify]: Simplify 1 into 1 18.859 * [backup-simplify]: Simplify (/ 1 1) into 1 18.859 * [taylor]: Taking taylor expansion of (/ 1 n) in f 18.859 * [taylor]: Taking taylor expansion of n in f 18.859 * [backup-simplify]: Simplify n into n 18.859 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 18.860 * [backup-simplify]: Simplify (+ 1 0) into 1 18.860 * [taylor]: Taking taylor expansion of (pow f 2) in f 18.860 * [taylor]: Taking taylor expansion of f in f 18.860 * [backup-simplify]: Simplify 0 into 0 18.860 * [backup-simplify]: Simplify 1 into 1 18.860 * [backup-simplify]: Simplify (* 1 1) into 1 18.861 * [backup-simplify]: Simplify (* 1 1) into 1 18.861 * [backup-simplify]: Simplify (* 1 1) into 1 18.862 * [backup-simplify]: Simplify (/ 1 1) into 1 18.862 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 18.862 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 18.862 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 18.862 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 18.862 * [taylor]: Taking taylor expansion of (/ 1 f) in f 18.862 * [taylor]: Taking taylor expansion of f in f 18.862 * [backup-simplify]: Simplify 0 into 0 18.862 * [backup-simplify]: Simplify 1 into 1 18.862 * [backup-simplify]: Simplify (/ 1 1) into 1 18.862 * [taylor]: Taking taylor expansion of (/ 1 n) in f 18.862 * [taylor]: Taking taylor expansion of n in f 18.862 * [backup-simplify]: Simplify n into n 18.862 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 18.863 * [backup-simplify]: Simplify (+ 1 0) into 1 18.863 * [taylor]: Taking taylor expansion of (pow f 2) in f 18.863 * [taylor]: Taking taylor expansion of f in f 18.863 * [backup-simplify]: Simplify 0 into 0 18.863 * [backup-simplify]: Simplify 1 into 1 18.864 * [backup-simplify]: Simplify (* 1 1) into 1 18.864 * [backup-simplify]: Simplify (* 1 1) into 1 18.864 * [backup-simplify]: Simplify (* 1 1) into 1 18.865 * [backup-simplify]: Simplify (/ 1 1) into 1 18.865 * [taylor]: Taking taylor expansion of 1 in n 18.865 * [backup-simplify]: Simplify 1 into 1 18.865 * [backup-simplify]: Simplify 0 into 0 18.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.867 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 18.867 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 18.868 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 n)) 1)) into (* 2 (/ 1 n)) 18.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 18.869 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 18.869 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 18.869 * [taylor]: Taking taylor expansion of 2 in n 18.869 * [backup-simplify]: Simplify 2 into 2 18.869 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.869 * [taylor]: Taking taylor expansion of n in n 18.869 * [backup-simplify]: Simplify 0 into 0 18.869 * [backup-simplify]: Simplify 1 into 1 18.870 * [backup-simplify]: Simplify (/ 1 1) into 1 18.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.875 * [backup-simplify]: Simplify (- 0) into 0 18.875 * [backup-simplify]: Simplify 0 into 0 18.875 * [backup-simplify]: Simplify 0 into 0 18.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 18.878 * [backup-simplify]: Simplify (+ 0 0) into 0 18.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 18.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 n)) 0) (* (/ 1 (pow n 2)) 1))) into (/ 1 (pow n 2)) 18.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 n)) 1)))) into (* 3 (/ 1 (pow n 2))) 18.883 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 2))) in n 18.883 * [taylor]: Taking taylor expansion of 3 in n 18.883 * [backup-simplify]: Simplify 3 into 3 18.883 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 18.883 * [taylor]: Taking taylor expansion of (pow n 2) in n 18.883 * [taylor]: Taking taylor expansion of n in n 18.883 * [backup-simplify]: Simplify 0 into 0 18.883 * [backup-simplify]: Simplify 1 into 1 18.884 * [backup-simplify]: Simplify (* 1 1) into 1 18.884 * [backup-simplify]: Simplify (/ 1 1) into 1 18.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.894 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.894 * [backup-simplify]: Simplify 0 into 0 18.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.897 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.897 * [backup-simplify]: Simplify (- 0) into 0 18.897 * [backup-simplify]: Simplify 0 into 0 18.897 * [backup-simplify]: Simplify 0 into 0 18.897 * [backup-simplify]: Simplify 0 into 0 18.899 * [backup-simplify]: Simplify (* (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) 18.899 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in (f n) around 0 18.899 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in n 18.899 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in n 18.899 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 18.899 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 18.899 * [taylor]: Taking taylor expansion of (/ 1 f) in n 18.899 * [taylor]: Taking taylor expansion of f in n 18.899 * [backup-simplify]: Simplify f into f 18.899 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 18.899 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.899 * [taylor]: Taking taylor expansion of n in n 18.899 * [backup-simplify]: Simplify 0 into 0 18.899 * [backup-simplify]: Simplify 1 into 1 18.900 * [backup-simplify]: Simplify (/ 1 1) into 1 18.900 * [backup-simplify]: Simplify (+ 0 1) into 1 18.900 * [taylor]: Taking taylor expansion of (pow f 2) in n 18.900 * [taylor]: Taking taylor expansion of f in n 18.900 * [backup-simplify]: Simplify f into f 18.901 * [backup-simplify]: Simplify (* 1 1) into 1 18.901 * [backup-simplify]: Simplify (* f f) into (pow f 2) 18.901 * [backup-simplify]: Simplify (* 1 (pow f 2)) into (pow f 2) 18.902 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 18.902 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 18.902 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 18.902 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 18.902 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 18.902 * [taylor]: Taking taylor expansion of (/ 1 f) in f 18.902 * [taylor]: Taking taylor expansion of f in f 18.902 * [backup-simplify]: Simplify 0 into 0 18.902 * [backup-simplify]: Simplify 1 into 1 18.902 * [backup-simplify]: Simplify (/ 1 1) into 1 18.902 * [taylor]: Taking taylor expansion of (/ 1 n) in f 18.902 * [taylor]: Taking taylor expansion of n in f 18.902 * [backup-simplify]: Simplify n into n 18.902 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 18.903 * [backup-simplify]: Simplify (+ 1 0) into 1 18.903 * [taylor]: Taking taylor expansion of (pow f 2) in f 18.903 * [taylor]: Taking taylor expansion of f in f 18.903 * [backup-simplify]: Simplify 0 into 0 18.903 * [backup-simplify]: Simplify 1 into 1 18.903 * [backup-simplify]: Simplify (* 1 1) into 1 18.904 * [backup-simplify]: Simplify (* 1 1) into 1 18.904 * [backup-simplify]: Simplify (* 1 1) into 1 18.905 * [backup-simplify]: Simplify (/ 1 1) into 1 18.905 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 18.905 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 18.905 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 18.905 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 18.905 * [taylor]: Taking taylor expansion of (/ 1 f) in f 18.905 * [taylor]: Taking taylor expansion of f in f 18.905 * [backup-simplify]: Simplify 0 into 0 18.905 * [backup-simplify]: Simplify 1 into 1 18.905 * [backup-simplify]: Simplify (/ 1 1) into 1 18.905 * [taylor]: Taking taylor expansion of (/ 1 n) in f 18.905 * [taylor]: Taking taylor expansion of n in f 18.905 * [backup-simplify]: Simplify n into n 18.906 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 18.906 * [backup-simplify]: Simplify (+ 1 0) into 1 18.906 * [taylor]: Taking taylor expansion of (pow f 2) in f 18.906 * [taylor]: Taking taylor expansion of f in f 18.906 * [backup-simplify]: Simplify 0 into 0 18.906 * [backup-simplify]: Simplify 1 into 1 18.907 * [backup-simplify]: Simplify (* 1 1) into 1 18.907 * [backup-simplify]: Simplify (* 1 1) into 1 18.907 * [backup-simplify]: Simplify (* 1 1) into 1 18.908 * [backup-simplify]: Simplify (/ 1 1) into 1 18.908 * [taylor]: Taking taylor expansion of 1 in n 18.908 * [backup-simplify]: Simplify 1 into 1 18.908 * [backup-simplify]: Simplify 0 into 0 18.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.910 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 18.910 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 18.911 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 n)) 1)) into (* 2 (/ 1 n)) 18.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 18.912 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 18.912 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 18.912 * [taylor]: Taking taylor expansion of 2 in n 18.912 * [backup-simplify]: Simplify 2 into 2 18.912 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.912 * [taylor]: Taking taylor expansion of n in n 18.912 * [backup-simplify]: Simplify 0 into 0 18.912 * [backup-simplify]: Simplify 1 into 1 18.912 * [backup-simplify]: Simplify (/ 1 1) into 1 18.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.917 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.917 * [backup-simplify]: Simplify (- 0) into 0 18.917 * [backup-simplify]: Simplify 0 into 0 18.917 * [backup-simplify]: Simplify 0 into 0 18.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 18.920 * [backup-simplify]: Simplify (+ 0 0) into 0 18.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 18.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 n)) 0) (* (/ 1 (pow n 2)) 1))) into (/ 1 (pow n 2)) 18.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 n)) 1)))) into (* 3 (/ 1 (pow n 2))) 18.924 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 2))) in n 18.924 * [taylor]: Taking taylor expansion of 3 in n 18.924 * [backup-simplify]: Simplify 3 into 3 18.924 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 18.924 * [taylor]: Taking taylor expansion of (pow n 2) in n 18.924 * [taylor]: Taking taylor expansion of n in n 18.924 * [backup-simplify]: Simplify 0 into 0 18.925 * [backup-simplify]: Simplify 1 into 1 18.925 * [backup-simplify]: Simplify (* 1 1) into 1 18.925 * [backup-simplify]: Simplify (/ 1 1) into 1 18.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.935 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.935 * [backup-simplify]: Simplify 0 into 0 18.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.938 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.939 * [backup-simplify]: Simplify (- 0) into 0 18.939 * [backup-simplify]: Simplify 0 into 0 18.939 * [backup-simplify]: Simplify 0 into 0 18.939 * [backup-simplify]: Simplify 0 into 0 18.939 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 18.939 * [backup-simplify]: Simplify (* (/ f (+ n f)) (/ f (+ n f))) into (/ (pow f 2) (pow (+ n f) 2)) 18.939 * [approximate]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in (f n) around 0 18.940 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in n 18.940 * [taylor]: Taking taylor expansion of (pow f 2) in n 18.940 * [taylor]: Taking taylor expansion of f in n 18.940 * [backup-simplify]: Simplify f into f 18.940 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 18.940 * [taylor]: Taking taylor expansion of (+ n f) in n 18.940 * [taylor]: Taking taylor expansion of n in n 18.940 * [backup-simplify]: Simplify 0 into 0 18.940 * [backup-simplify]: Simplify 1 into 1 18.940 * [taylor]: Taking taylor expansion of f in n 18.940 * [backup-simplify]: Simplify f into f 18.940 * [backup-simplify]: Simplify (+ 0 f) into f 18.940 * [backup-simplify]: Simplify (* f f) into (pow f 2) 18.940 * [backup-simplify]: Simplify (* f f) into (pow f 2) 18.941 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 18.941 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in f 18.941 * [taylor]: Taking taylor expansion of (pow f 2) in f 18.941 * [taylor]: Taking taylor expansion of f in f 18.941 * [backup-simplify]: Simplify 0 into 0 18.941 * [backup-simplify]: Simplify 1 into 1 18.941 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 18.941 * [taylor]: Taking taylor expansion of (+ n f) in f 18.941 * [taylor]: Taking taylor expansion of n in f 18.941 * [backup-simplify]: Simplify n into n 18.941 * [taylor]: Taking taylor expansion of f in f 18.941 * [backup-simplify]: Simplify 0 into 0 18.941 * [backup-simplify]: Simplify 1 into 1 18.941 * [backup-simplify]: Simplify (+ n 0) into n 18.942 * [backup-simplify]: Simplify (* 1 1) into 1 18.942 * [backup-simplify]: Simplify (* n n) into (pow n 2) 18.942 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 18.943 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in f 18.943 * [taylor]: Taking taylor expansion of (pow f 2) in f 18.943 * [taylor]: Taking taylor expansion of f in f 18.943 * [backup-simplify]: Simplify 0 into 0 18.943 * [backup-simplify]: Simplify 1 into 1 18.943 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 18.943 * [taylor]: Taking taylor expansion of (+ n f) in f 18.943 * [taylor]: Taking taylor expansion of n in f 18.943 * [backup-simplify]: Simplify n into n 18.943 * [taylor]: Taking taylor expansion of f in f 18.943 * [backup-simplify]: Simplify 0 into 0 18.943 * [backup-simplify]: Simplify 1 into 1 18.943 * [backup-simplify]: Simplify (+ n 0) into n 18.943 * [backup-simplify]: Simplify (* 1 1) into 1 18.944 * [backup-simplify]: Simplify (* n n) into (pow n 2) 18.944 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 18.944 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 18.944 * [taylor]: Taking taylor expansion of (pow n 2) in n 18.944 * [taylor]: Taking taylor expansion of n in n 18.944 * [backup-simplify]: Simplify 0 into 0 18.944 * [backup-simplify]: Simplify 1 into 1 18.945 * [backup-simplify]: Simplify (* 1 1) into 1 18.945 * [backup-simplify]: Simplify (/ 1 1) into 1 18.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.949 * [backup-simplify]: Simplify 0 into 0 18.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.950 * [backup-simplify]: Simplify (+ 0 1) into 1 18.950 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 18.952 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* (/ 1 (pow n 2)) (/ (* 2 n) (pow n 2))))) into (- (* 2 (/ 1 (pow n 3)))) 18.952 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 18.952 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 18.952 * [taylor]: Taking taylor expansion of 2 in n 18.952 * [backup-simplify]: Simplify 2 into 2 18.952 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 18.952 * [taylor]: Taking taylor expansion of (pow n 3) in n 18.952 * [taylor]: Taking taylor expansion of n in n 18.952 * [backup-simplify]: Simplify 0 into 0 18.952 * [backup-simplify]: Simplify 1 into 1 18.952 * [backup-simplify]: Simplify (* 1 1) into 1 18.953 * [backup-simplify]: Simplify (* 1 1) into 1 18.958 * [backup-simplify]: Simplify (/ 1 1) into 1 18.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.969 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.969 * [backup-simplify]: Simplify (- 0) into 0 18.969 * [backup-simplify]: Simplify 0 into 0 18.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.971 * [backup-simplify]: Simplify 0 into 0 18.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.973 * [backup-simplify]: Simplify (+ 0 0) into 0 18.973 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 18.976 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* (/ 1 (pow n 2)) (/ 1 (pow n 2))) (* (- (* 2 (/ 1 (pow n 3)))) (/ (* 2 n) (pow n 2))))) into (* 3 (/ 1 (pow n 4))) 18.976 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 4))) in n 18.976 * [taylor]: Taking taylor expansion of 3 in n 18.976 * [backup-simplify]: Simplify 3 into 3 18.976 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 18.976 * [taylor]: Taking taylor expansion of (pow n 4) in n 18.976 * [taylor]: Taking taylor expansion of n in n 18.977 * [backup-simplify]: Simplify 0 into 0 18.977 * [backup-simplify]: Simplify 1 into 1 18.977 * [backup-simplify]: Simplify (* 1 1) into 1 18.977 * [backup-simplify]: Simplify (* 1 1) into 1 18.978 * [backup-simplify]: Simplify (/ 1 1) into 1 18.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.992 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.992 * [backup-simplify]: Simplify 0 into 0 18.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.997 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.998 * [backup-simplify]: Simplify (- 0) into 0 18.998 * [backup-simplify]: Simplify 0 into 0 18.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.000 * [backup-simplify]: Simplify 0 into 0 19.000 * [backup-simplify]: Simplify 0 into 0 19.001 * [backup-simplify]: Simplify (* (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) (/ (/ 1 f) (+ (/ 1 n) (/ 1 f)))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) 19.002 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in (f n) around 0 19.002 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in n 19.002 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in n 19.002 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 19.002 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 19.002 * [taylor]: Taking taylor expansion of (/ 1 f) in n 19.002 * [taylor]: Taking taylor expansion of f in n 19.002 * [backup-simplify]: Simplify f into f 19.002 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 19.002 * [taylor]: Taking taylor expansion of (/ 1 n) in n 19.002 * [taylor]: Taking taylor expansion of n in n 19.002 * [backup-simplify]: Simplify 0 into 0 19.002 * [backup-simplify]: Simplify 1 into 1 19.002 * [backup-simplify]: Simplify (/ 1 1) into 1 19.003 * [backup-simplify]: Simplify (+ 0 1) into 1 19.003 * [taylor]: Taking taylor expansion of (pow f 2) in n 19.003 * [taylor]: Taking taylor expansion of f in n 19.003 * [backup-simplify]: Simplify f into f 19.003 * [backup-simplify]: Simplify (* 1 1) into 1 19.004 * [backup-simplify]: Simplify (* f f) into (pow f 2) 19.004 * [backup-simplify]: Simplify (* 1 (pow f 2)) into (pow f 2) 19.004 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 19.004 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 19.005 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 19.005 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 19.005 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 19.005 * [taylor]: Taking taylor expansion of (/ 1 f) in f 19.005 * [taylor]: Taking taylor expansion of f in f 19.005 * [backup-simplify]: Simplify 0 into 0 19.005 * [backup-simplify]: Simplify 1 into 1 19.005 * [backup-simplify]: Simplify (/ 1 1) into 1 19.005 * [taylor]: Taking taylor expansion of (/ 1 n) in f 19.005 * [taylor]: Taking taylor expansion of n in f 19.005 * [backup-simplify]: Simplify n into n 19.005 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 19.006 * [backup-simplify]: Simplify (+ 1 0) into 1 19.006 * [taylor]: Taking taylor expansion of (pow f 2) in f 19.006 * [taylor]: Taking taylor expansion of f in f 19.006 * [backup-simplify]: Simplify 0 into 0 19.006 * [backup-simplify]: Simplify 1 into 1 19.006 * [backup-simplify]: Simplify (* 1 1) into 1 19.007 * [backup-simplify]: Simplify (* 1 1) into 1 19.007 * [backup-simplify]: Simplify (* 1 1) into 1 19.008 * [backup-simplify]: Simplify (/ 1 1) into 1 19.008 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 19.008 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 19.008 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 19.008 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 19.008 * [taylor]: Taking taylor expansion of (/ 1 f) in f 19.008 * [taylor]: Taking taylor expansion of f in f 19.008 * [backup-simplify]: Simplify 0 into 0 19.008 * [backup-simplify]: Simplify 1 into 1 19.008 * [backup-simplify]: Simplify (/ 1 1) into 1 19.008 * [taylor]: Taking taylor expansion of (/ 1 n) in f 19.008 * [taylor]: Taking taylor expansion of n in f 19.008 * [backup-simplify]: Simplify n into n 19.008 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 19.009 * [backup-simplify]: Simplify (+ 1 0) into 1 19.009 * [taylor]: Taking taylor expansion of (pow f 2) in f 19.009 * [taylor]: Taking taylor expansion of f in f 19.009 * [backup-simplify]: Simplify 0 into 0 19.009 * [backup-simplify]: Simplify 1 into 1 19.010 * [backup-simplify]: Simplify (* 1 1) into 1 19.010 * [backup-simplify]: Simplify (* 1 1) into 1 19.010 * [backup-simplify]: Simplify (* 1 1) into 1 19.011 * [backup-simplify]: Simplify (/ 1 1) into 1 19.011 * [taylor]: Taking taylor expansion of 1 in n 19.011 * [backup-simplify]: Simplify 1 into 1 19.011 * [backup-simplify]: Simplify 0 into 0 19.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.013 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 19.013 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 19.014 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 n)) 1)) into (* 2 (/ 1 n)) 19.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 19.014 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 19.014 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 19.014 * [taylor]: Taking taylor expansion of 2 in n 19.014 * [backup-simplify]: Simplify 2 into 2 19.014 * [taylor]: Taking taylor expansion of (/ 1 n) in n 19.015 * [taylor]: Taking taylor expansion of n in n 19.015 * [backup-simplify]: Simplify 0 into 0 19.015 * [backup-simplify]: Simplify 1 into 1 19.015 * [backup-simplify]: Simplify (/ 1 1) into 1 19.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.019 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.020 * [backup-simplify]: Simplify (- 0) into 0 19.020 * [backup-simplify]: Simplify 0 into 0 19.020 * [backup-simplify]: Simplify 0 into 0 19.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 19.023 * [backup-simplify]: Simplify (+ 0 0) into 0 19.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 19.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 n)) 0) (* (/ 1 (pow n 2)) 1))) into (/ 1 (pow n 2)) 19.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 n)) 1)))) into (* 3 (/ 1 (pow n 2))) 19.026 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 2))) in n 19.026 * [taylor]: Taking taylor expansion of 3 in n 19.026 * [backup-simplify]: Simplify 3 into 3 19.026 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 19.026 * [taylor]: Taking taylor expansion of (pow n 2) in n 19.026 * [taylor]: Taking taylor expansion of n in n 19.026 * [backup-simplify]: Simplify 0 into 0 19.026 * [backup-simplify]: Simplify 1 into 1 19.027 * [backup-simplify]: Simplify (* 1 1) into 1 19.027 * [backup-simplify]: Simplify (/ 1 1) into 1 19.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.032 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.032 * [backup-simplify]: Simplify 0 into 0 19.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.034 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.034 * [backup-simplify]: Simplify (- 0) into 0 19.034 * [backup-simplify]: Simplify 0 into 0 19.034 * [backup-simplify]: Simplify 0 into 0 19.034 * [backup-simplify]: Simplify 0 into 0 19.035 * [backup-simplify]: Simplify (* (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) 19.035 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in (f n) around 0 19.035 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in n 19.035 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in n 19.035 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 19.035 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 19.035 * [taylor]: Taking taylor expansion of (/ 1 f) in n 19.035 * [taylor]: Taking taylor expansion of f in n 19.035 * [backup-simplify]: Simplify f into f 19.035 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 19.035 * [taylor]: Taking taylor expansion of (/ 1 n) in n 19.035 * [taylor]: Taking taylor expansion of n in n 19.035 * [backup-simplify]: Simplify 0 into 0 19.035 * [backup-simplify]: Simplify 1 into 1 19.036 * [backup-simplify]: Simplify (/ 1 1) into 1 19.036 * [backup-simplify]: Simplify (+ 0 1) into 1 19.036 * [taylor]: Taking taylor expansion of (pow f 2) in n 19.036 * [taylor]: Taking taylor expansion of f in n 19.036 * [backup-simplify]: Simplify f into f 19.036 * [backup-simplify]: Simplify (* 1 1) into 1 19.036 * [backup-simplify]: Simplify (* f f) into (pow f 2) 19.037 * [backup-simplify]: Simplify (* 1 (pow f 2)) into (pow f 2) 19.037 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 19.037 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 19.037 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 19.037 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 19.037 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 19.037 * [taylor]: Taking taylor expansion of (/ 1 f) in f 19.037 * [taylor]: Taking taylor expansion of f in f 19.037 * [backup-simplify]: Simplify 0 into 0 19.037 * [backup-simplify]: Simplify 1 into 1 19.037 * [backup-simplify]: Simplify (/ 1 1) into 1 19.037 * [taylor]: Taking taylor expansion of (/ 1 n) in f 19.037 * [taylor]: Taking taylor expansion of n in f 19.038 * [backup-simplify]: Simplify n into n 19.038 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 19.038 * [backup-simplify]: Simplify (+ 1 0) into 1 19.038 * [taylor]: Taking taylor expansion of (pow f 2) in f 19.038 * [taylor]: Taking taylor expansion of f in f 19.038 * [backup-simplify]: Simplify 0 into 0 19.038 * [backup-simplify]: Simplify 1 into 1 19.038 * [backup-simplify]: Simplify (* 1 1) into 1 19.038 * [backup-simplify]: Simplify (* 1 1) into 1 19.039 * [backup-simplify]: Simplify (* 1 1) into 1 19.039 * [backup-simplify]: Simplify (/ 1 1) into 1 19.039 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 19.039 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 19.039 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 19.039 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 19.039 * [taylor]: Taking taylor expansion of (/ 1 f) in f 19.039 * [taylor]: Taking taylor expansion of f in f 19.039 * [backup-simplify]: Simplify 0 into 0 19.039 * [backup-simplify]: Simplify 1 into 1 19.039 * [backup-simplify]: Simplify (/ 1 1) into 1 19.039 * [taylor]: Taking taylor expansion of (/ 1 n) in f 19.040 * [taylor]: Taking taylor expansion of n in f 19.040 * [backup-simplify]: Simplify n into n 19.040 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 19.040 * [backup-simplify]: Simplify (+ 1 0) into 1 19.040 * [taylor]: Taking taylor expansion of (pow f 2) in f 19.040 * [taylor]: Taking taylor expansion of f in f 19.040 * [backup-simplify]: Simplify 0 into 0 19.040 * [backup-simplify]: Simplify 1 into 1 19.041 * [backup-simplify]: Simplify (* 1 1) into 1 19.041 * [backup-simplify]: Simplify (* 1 1) into 1 19.041 * [backup-simplify]: Simplify (* 1 1) into 1 19.041 * [backup-simplify]: Simplify (/ 1 1) into 1 19.041 * [taylor]: Taking taylor expansion of 1 in n 19.041 * [backup-simplify]: Simplify 1 into 1 19.041 * [backup-simplify]: Simplify 0 into 0 19.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.042 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 19.043 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 19.043 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 n)) 1)) into (* 2 (/ 1 n)) 19.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 19.043 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 19.043 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 19.043 * [taylor]: Taking taylor expansion of 2 in n 19.043 * [backup-simplify]: Simplify 2 into 2 19.043 * [taylor]: Taking taylor expansion of (/ 1 n) in n 19.043 * [taylor]: Taking taylor expansion of n in n 19.044 * [backup-simplify]: Simplify 0 into 0 19.044 * [backup-simplify]: Simplify 1 into 1 19.044 * [backup-simplify]: Simplify (/ 1 1) into 1 19.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.046 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.047 * [backup-simplify]: Simplify (- 0) into 0 19.047 * [backup-simplify]: Simplify 0 into 0 19.047 * [backup-simplify]: Simplify 0 into 0 19.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 19.048 * [backup-simplify]: Simplify (+ 0 0) into 0 19.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 19.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 n)) 0) (* (/ 1 (pow n 2)) 1))) into (/ 1 (pow n 2)) 19.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 n)) 1)))) into (* 3 (/ 1 (pow n 2))) 19.051 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 2))) in n 19.051 * [taylor]: Taking taylor expansion of 3 in n 19.052 * [backup-simplify]: Simplify 3 into 3 19.052 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 19.052 * [taylor]: Taking taylor expansion of (pow n 2) in n 19.052 * [taylor]: Taking taylor expansion of n in n 19.052 * [backup-simplify]: Simplify 0 into 0 19.052 * [backup-simplify]: Simplify 1 into 1 19.052 * [backup-simplify]: Simplify (* 1 1) into 1 19.052 * [backup-simplify]: Simplify (/ 1 1) into 1 19.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.060 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.060 * [backup-simplify]: Simplify 0 into 0 19.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.063 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.063 * [backup-simplify]: Simplify (- 0) into 0 19.063 * [backup-simplify]: Simplify 0 into 0 19.063 * [backup-simplify]: Simplify 0 into 0 19.063 * [backup-simplify]: Simplify 0 into 0 19.063 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 19.064 * [backup-simplify]: Simplify (* (/ n (+ n f)) (/ n (+ n f))) into (/ (pow n 2) (pow (+ n f) 2)) 19.064 * [approximate]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in (n f) around 0 19.064 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in f 19.064 * [taylor]: Taking taylor expansion of (pow n 2) in f 19.064 * [taylor]: Taking taylor expansion of n in f 19.064 * [backup-simplify]: Simplify n into n 19.064 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 19.064 * [taylor]: Taking taylor expansion of (+ n f) in f 19.064 * [taylor]: Taking taylor expansion of n in f 19.064 * [backup-simplify]: Simplify n into n 19.064 * [taylor]: Taking taylor expansion of f in f 19.064 * [backup-simplify]: Simplify 0 into 0 19.064 * [backup-simplify]: Simplify 1 into 1 19.064 * [backup-simplify]: Simplify (+ n 0) into n 19.065 * [backup-simplify]: Simplify (* n n) into (pow n 2) 19.065 * [backup-simplify]: Simplify (* n n) into (pow n 2) 19.065 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 19.065 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in n 19.066 * [taylor]: Taking taylor expansion of (pow n 2) in n 19.066 * [taylor]: Taking taylor expansion of n in n 19.066 * [backup-simplify]: Simplify 0 into 0 19.066 * [backup-simplify]: Simplify 1 into 1 19.066 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 19.066 * [taylor]: Taking taylor expansion of (+ n f) in n 19.066 * [taylor]: Taking taylor expansion of n in n 19.066 * [backup-simplify]: Simplify 0 into 0 19.066 * [backup-simplify]: Simplify 1 into 1 19.066 * [taylor]: Taking taylor expansion of f in n 19.066 * [backup-simplify]: Simplify f into f 19.066 * [backup-simplify]: Simplify (+ 0 f) into f 19.066 * [backup-simplify]: Simplify (* 1 1) into 1 19.067 * [backup-simplify]: Simplify (* f f) into (pow f 2) 19.067 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 19.067 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in n 19.067 * [taylor]: Taking taylor expansion of (pow n 2) in n 19.067 * [taylor]: Taking taylor expansion of n in n 19.067 * [backup-simplify]: Simplify 0 into 0 19.067 * [backup-simplify]: Simplify 1 into 1 19.067 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 19.067 * [taylor]: Taking taylor expansion of (+ n f) in n 19.067 * [taylor]: Taking taylor expansion of n in n 19.067 * [backup-simplify]: Simplify 0 into 0 19.067 * [backup-simplify]: Simplify 1 into 1 19.067 * [taylor]: Taking taylor expansion of f in n 19.068 * [backup-simplify]: Simplify f into f 19.068 * [backup-simplify]: Simplify (+ 0 f) into f 19.068 * [backup-simplify]: Simplify (* 1 1) into 1 19.068 * [backup-simplify]: Simplify (* f f) into (pow f 2) 19.069 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 19.069 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 19.069 * [taylor]: Taking taylor expansion of (pow f 2) in f 19.069 * [taylor]: Taking taylor expansion of f in f 19.069 * [backup-simplify]: Simplify 0 into 0 19.069 * [backup-simplify]: Simplify 1 into 1 19.069 * [backup-simplify]: Simplify (* 1 1) into 1 19.070 * [backup-simplify]: Simplify (/ 1 1) into 1 19.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.074 * [backup-simplify]: Simplify 0 into 0 19.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.075 * [backup-simplify]: Simplify (+ 1 0) into 1 19.075 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 19.077 * [backup-simplify]: Simplify (- (/ 0 (pow f 2)) (+ (* (/ 1 (pow f 2)) (/ (* 2 f) (pow f 2))))) into (- (* 2 (/ 1 (pow f 3)))) 19.077 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f 19.077 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 19.077 * [taylor]: Taking taylor expansion of 2 in f 19.077 * [backup-simplify]: Simplify 2 into 2 19.077 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 19.077 * [taylor]: Taking taylor expansion of (pow f 3) in f 19.077 * [taylor]: Taking taylor expansion of f in f 19.077 * [backup-simplify]: Simplify 0 into 0 19.077 * [backup-simplify]: Simplify 1 into 1 19.078 * [backup-simplify]: Simplify (* 1 1) into 1 19.078 * [backup-simplify]: Simplify (* 1 1) into 1 19.079 * [backup-simplify]: Simplify (/ 1 1) into 1 19.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.089 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.089 * [backup-simplify]: Simplify (- 0) into 0 19.089 * [backup-simplify]: Simplify 0 into 0 19.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.092 * [backup-simplify]: Simplify 0 into 0 19.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.093 * [backup-simplify]: Simplify (+ 0 0) into 0 19.094 * [backup-simplify]: Simplify (+ (* f 0) (+ (* 1 1) (* 0 f))) into 1 19.097 * [backup-simplify]: Simplify (- (/ 0 (pow f 2)) (+ (* (/ 1 (pow f 2)) (/ 1 (pow f 2))) (* (- (* 2 (/ 1 (pow f 3)))) (/ (* 2 f) (pow f 2))))) into (* 3 (/ 1 (pow f 4))) 19.097 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 4))) in f 19.097 * [taylor]: Taking taylor expansion of 3 in f 19.097 * [backup-simplify]: Simplify 3 into 3 19.097 * [taylor]: Taking taylor expansion of (/ 1 (pow f 4)) in f 19.097 * [taylor]: Taking taylor expansion of (pow f 4) in f 19.097 * [taylor]: Taking taylor expansion of f in f 19.097 * [backup-simplify]: Simplify 0 into 0 19.097 * [backup-simplify]: Simplify 1 into 1 19.098 * [backup-simplify]: Simplify (* 1 1) into 1 19.098 * [backup-simplify]: Simplify (* 1 1) into 1 19.103 * [backup-simplify]: Simplify (/ 1 1) into 1 19.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.117 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.117 * [backup-simplify]: Simplify 0 into 0 19.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.123 * [backup-simplify]: Simplify (- 0) into 0 19.123 * [backup-simplify]: Simplify 0 into 0 19.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.125 * [backup-simplify]: Simplify 0 into 0 19.125 * [backup-simplify]: Simplify 0 into 0 19.127 * [backup-simplify]: Simplify (* (/ (/ 1 n) (+ (/ 1 n) (/ 1 f))) (/ (/ 1 n) (+ (/ 1 n) (/ 1 f)))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) 19.127 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in (n f) around 0 19.127 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in f 19.127 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in f 19.127 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 19.127 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 19.127 * [taylor]: Taking taylor expansion of (/ 1 f) in f 19.127 * [taylor]: Taking taylor expansion of f in f 19.127 * [backup-simplify]: Simplify 0 into 0 19.127 * [backup-simplify]: Simplify 1 into 1 19.127 * [backup-simplify]: Simplify (/ 1 1) into 1 19.127 * [taylor]: Taking taylor expansion of (/ 1 n) in f 19.127 * [taylor]: Taking taylor expansion of n in f 19.127 * [backup-simplify]: Simplify n into n 19.128 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 19.128 * [backup-simplify]: Simplify (+ 1 0) into 1 19.128 * [taylor]: Taking taylor expansion of (pow n 2) in f 19.128 * [taylor]: Taking taylor expansion of n in f 19.128 * [backup-simplify]: Simplify n into n 19.129 * [backup-simplify]: Simplify (* 1 1) into 1 19.129 * [backup-simplify]: Simplify (* n n) into (pow n 2) 19.129 * [backup-simplify]: Simplify (* 1 (pow n 2)) into (pow n 2) 19.130 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 19.130 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 19.130 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 19.130 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 19.130 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 19.130 * [taylor]: Taking taylor expansion of (/ 1 f) in n 19.130 * [taylor]: Taking taylor expansion of f in n 19.130 * [backup-simplify]: Simplify f into f 19.130 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 19.130 * [taylor]: Taking taylor expansion of (/ 1 n) in n 19.130 * [taylor]: Taking taylor expansion of n in n 19.130 * [backup-simplify]: Simplify 0 into 0 19.130 * [backup-simplify]: Simplify 1 into 1 19.130 * [backup-simplify]: Simplify (/ 1 1) into 1 19.131 * [backup-simplify]: Simplify (+ 0 1) into 1 19.131 * [taylor]: Taking taylor expansion of (pow n 2) in n 19.131 * [taylor]: Taking taylor expansion of n in n 19.131 * [backup-simplify]: Simplify 0 into 0 19.131 * [backup-simplify]: Simplify 1 into 1 19.131 * [backup-simplify]: Simplify (* 1 1) into 1 19.132 * [backup-simplify]: Simplify (* 1 1) into 1 19.132 * [backup-simplify]: Simplify (* 1 1) into 1 19.133 * [backup-simplify]: Simplify (/ 1 1) into 1 19.133 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 19.133 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 19.133 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 19.133 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 19.133 * [taylor]: Taking taylor expansion of (/ 1 f) in n 19.133 * [taylor]: Taking taylor expansion of f in n 19.133 * [backup-simplify]: Simplify f into f 19.133 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 19.133 * [taylor]: Taking taylor expansion of (/ 1 n) in n 19.133 * [taylor]: Taking taylor expansion of n in n 19.133 * [backup-simplify]: Simplify 0 into 0 19.133 * [backup-simplify]: Simplify 1 into 1 19.134 * [backup-simplify]: Simplify (/ 1 1) into 1 19.134 * [backup-simplify]: Simplify (+ 0 1) into 1 19.134 * [taylor]: Taking taylor expansion of (pow n 2) in n 19.134 * [taylor]: Taking taylor expansion of n in n 19.134 * [backup-simplify]: Simplify 0 into 0 19.134 * [backup-simplify]: Simplify 1 into 1 19.135 * [backup-simplify]: Simplify (* 1 1) into 1 19.135 * [backup-simplify]: Simplify (* 1 1) into 1 19.135 * [backup-simplify]: Simplify (* 1 1) into 1 19.136 * [backup-simplify]: Simplify (/ 1 1) into 1 19.136 * [taylor]: Taking taylor expansion of 1 in f 19.136 * [backup-simplify]: Simplify 1 into 1 19.136 * [backup-simplify]: Simplify 0 into 0 19.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.138 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 19.138 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 19.139 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 f)) 1)) into (* 2 (/ 1 f)) 19.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) 19.140 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 19.140 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 19.140 * [taylor]: Taking taylor expansion of 2 in f 19.140 * [backup-simplify]: Simplify 2 into 2 19.140 * [taylor]: Taking taylor expansion of (/ 1 f) in f 19.140 * [taylor]: Taking taylor expansion of f in f 19.140 * [backup-simplify]: Simplify 0 into 0 19.140 * [backup-simplify]: Simplify 1 into 1 19.140 * [backup-simplify]: Simplify (/ 1 1) into 1 19.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.145 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.145 * [backup-simplify]: Simplify (- 0) into 0 19.145 * [backup-simplify]: Simplify 0 into 0 19.145 * [backup-simplify]: Simplify 0 into 0 19.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 19.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.148 * [backup-simplify]: Simplify (+ 0 0) into 0 19.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 19.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 f)) 0) (* (/ 1 (pow f 2)) 1))) into (/ 1 (pow f 2)) 19.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow f 2)) 1)) (* (- (* 2 (/ 1 f))) (/ (* 2 (/ 1 f)) 1)))) into (* 3 (/ 1 (pow f 2))) 19.153 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 2))) in f 19.153 * [taylor]: Taking taylor expansion of 3 in f 19.153 * [backup-simplify]: Simplify 3 into 3 19.153 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 19.153 * [taylor]: Taking taylor expansion of (pow f 2) in f 19.153 * [taylor]: Taking taylor expansion of f in f 19.153 * [backup-simplify]: Simplify 0 into 0 19.153 * [backup-simplify]: Simplify 1 into 1 19.153 * [backup-simplify]: Simplify (* 1 1) into 1 19.154 * [backup-simplify]: Simplify (/ 1 1) into 1 19.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.160 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.160 * [backup-simplify]: Simplify 0 into 0 19.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.162 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.162 * [backup-simplify]: Simplify (- 0) into 0 19.162 * [backup-simplify]: Simplify 0 into 0 19.162 * [backup-simplify]: Simplify 0 into 0 19.162 * [backup-simplify]: Simplify 0 into 0 19.163 * [backup-simplify]: Simplify (* (/ (/ 1 (- n)) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (/ 1 (- n)) (+ (/ 1 (- n)) (/ 1 (- f))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) 19.163 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in (n f) around 0 19.163 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in f 19.163 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in f 19.163 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 19.163 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 19.163 * [taylor]: Taking taylor expansion of (/ 1 f) in f 19.163 * [taylor]: Taking taylor expansion of f in f 19.163 * [backup-simplify]: Simplify 0 into 0 19.163 * [backup-simplify]: Simplify 1 into 1 19.163 * [backup-simplify]: Simplify (/ 1 1) into 1 19.163 * [taylor]: Taking taylor expansion of (/ 1 n) in f 19.163 * [taylor]: Taking taylor expansion of n in f 19.163 * [backup-simplify]: Simplify n into n 19.164 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 19.164 * [backup-simplify]: Simplify (+ 1 0) into 1 19.164 * [taylor]: Taking taylor expansion of (pow n 2) in f 19.164 * [taylor]: Taking taylor expansion of n in f 19.164 * [backup-simplify]: Simplify n into n 19.164 * [backup-simplify]: Simplify (* 1 1) into 1 19.164 * [backup-simplify]: Simplify (* n n) into (pow n 2) 19.165 * [backup-simplify]: Simplify (* 1 (pow n 2)) into (pow n 2) 19.165 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 19.165 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 19.165 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 19.165 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 19.165 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 19.165 * [taylor]: Taking taylor expansion of (/ 1 f) in n 19.165 * [taylor]: Taking taylor expansion of f in n 19.165 * [backup-simplify]: Simplify f into f 19.165 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 19.165 * [taylor]: Taking taylor expansion of (/ 1 n) in n 19.165 * [taylor]: Taking taylor expansion of n in n 19.165 * [backup-simplify]: Simplify 0 into 0 19.165 * [backup-simplify]: Simplify 1 into 1 19.165 * [backup-simplify]: Simplify (/ 1 1) into 1 19.166 * [backup-simplify]: Simplify (+ 0 1) into 1 19.166 * [taylor]: Taking taylor expansion of (pow n 2) in n 19.166 * [taylor]: Taking taylor expansion of n in n 19.166 * [backup-simplify]: Simplify 0 into 0 19.166 * [backup-simplify]: Simplify 1 into 1 19.166 * [backup-simplify]: Simplify (* 1 1) into 1 19.166 * [backup-simplify]: Simplify (* 1 1) into 1 19.166 * [backup-simplify]: Simplify (* 1 1) into 1 19.167 * [backup-simplify]: Simplify (/ 1 1) into 1 19.167 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 19.167 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 19.167 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 19.167 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 19.167 * [taylor]: Taking taylor expansion of (/ 1 f) in n 19.167 * [taylor]: Taking taylor expansion of f in n 19.167 * [backup-simplify]: Simplify f into f 19.167 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 19.167 * [taylor]: Taking taylor expansion of (/ 1 n) in n 19.167 * [taylor]: Taking taylor expansion of n in n 19.167 * [backup-simplify]: Simplify 0 into 0 19.167 * [backup-simplify]: Simplify 1 into 1 19.167 * [backup-simplify]: Simplify (/ 1 1) into 1 19.167 * [backup-simplify]: Simplify (+ 0 1) into 1 19.167 * [taylor]: Taking taylor expansion of (pow n 2) in n 19.168 * [taylor]: Taking taylor expansion of n in n 19.168 * [backup-simplify]: Simplify 0 into 0 19.168 * [backup-simplify]: Simplify 1 into 1 19.168 * [backup-simplify]: Simplify (* 1 1) into 1 19.168 * [backup-simplify]: Simplify (* 1 1) into 1 19.168 * [backup-simplify]: Simplify (* 1 1) into 1 19.169 * [backup-simplify]: Simplify (/ 1 1) into 1 19.169 * [taylor]: Taking taylor expansion of 1 in f 19.169 * [backup-simplify]: Simplify 1 into 1 19.169 * [backup-simplify]: Simplify 0 into 0 19.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.170 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 19.170 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 19.170 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 f)) 1)) into (* 2 (/ 1 f)) 19.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) 19.171 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 19.171 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 19.171 * [taylor]: Taking taylor expansion of 2 in f 19.171 * [backup-simplify]: Simplify 2 into 2 19.171 * [taylor]: Taking taylor expansion of (/ 1 f) in f 19.171 * [taylor]: Taking taylor expansion of f in f 19.171 * [backup-simplify]: Simplify 0 into 0 19.171 * [backup-simplify]: Simplify 1 into 1 19.171 * [backup-simplify]: Simplify (/ 1 1) into 1 19.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.173 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.174 * [backup-simplify]: Simplify (- 0) into 0 19.174 * [backup-simplify]: Simplify 0 into 0 19.174 * [backup-simplify]: Simplify 0 into 0 19.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 19.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.175 * [backup-simplify]: Simplify (+ 0 0) into 0 19.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 19.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 f)) 0) (* (/ 1 (pow f 2)) 1))) into (/ 1 (pow f 2)) 19.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow f 2)) 1)) (* (- (* 2 (/ 1 f))) (/ (* 2 (/ 1 f)) 1)))) into (* 3 (/ 1 (pow f 2))) 19.178 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 2))) in f 19.178 * [taylor]: Taking taylor expansion of 3 in f 19.178 * [backup-simplify]: Simplify 3 into 3 19.178 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 19.178 * [taylor]: Taking taylor expansion of (pow f 2) in f 19.178 * [taylor]: Taking taylor expansion of f in f 19.178 * [backup-simplify]: Simplify 0 into 0 19.178 * [backup-simplify]: Simplify 1 into 1 19.178 * [backup-simplify]: Simplify (* 1 1) into 1 19.178 * [backup-simplify]: Simplify (/ 1 1) into 1 19.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.184 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.184 * [backup-simplify]: Simplify 0 into 0 19.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.185 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.186 * [backup-simplify]: Simplify (- 0) into 0 19.186 * [backup-simplify]: Simplify 0 into 0 19.186 * [backup-simplify]: Simplify 0 into 0 19.186 * [backup-simplify]: Simplify 0 into 0 19.186 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 19.186 * [backup-simplify]: Simplify (* (/ f (+ n f)) (* (/ f (+ n f)) (/ f (+ n f)))) into (/ (pow f 3) (pow (+ n f) 3)) 19.186 * [approximate]: Taking taylor expansion of (/ (pow f 3) (pow (+ n f) 3)) in (f n) around 0 19.186 * [taylor]: Taking taylor expansion of (/ (pow f 3) (pow (+ n f) 3)) in n 19.186 * [taylor]: Taking taylor expansion of (pow f 3) in n 19.186 * [taylor]: Taking taylor expansion of f in n 19.186 * [backup-simplify]: Simplify f into f 19.186 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in n 19.186 * [taylor]: Taking taylor expansion of (+ n f) in n 19.186 * [taylor]: Taking taylor expansion of n in n 19.187 * [backup-simplify]: Simplify 0 into 0 19.187 * [backup-simplify]: Simplify 1 into 1 19.187 * [taylor]: Taking taylor expansion of f in n 19.187 * [backup-simplify]: Simplify f into f 19.187 * [backup-simplify]: Simplify (+ 0 f) into f 19.187 * [backup-simplify]: Simplify (* f f) into (pow f 2) 19.187 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3) 19.187 * [backup-simplify]: Simplify (* f f) into (pow f 2) 19.187 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3) 19.188 * [backup-simplify]: Simplify (/ (pow f 3) (pow f 3)) into 1 19.188 * [taylor]: Taking taylor expansion of (/ (pow f 3) (pow (+ n f) 3)) in f 19.188 * [taylor]: Taking taylor expansion of (pow f 3) in f 19.188 * [taylor]: Taking taylor expansion of f in f 19.188 * [backup-simplify]: Simplify 0 into 0 19.188 * [backup-simplify]: Simplify 1 into 1 19.188 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in f 19.188 * [taylor]: Taking taylor expansion of (+ n f) in f 19.188 * [taylor]: Taking taylor expansion of n in f 19.188 * [backup-simplify]: Simplify n into n 19.188 * [taylor]: Taking taylor expansion of f in f 19.188 * [backup-simplify]: Simplify 0 into 0 19.188 * [backup-simplify]: Simplify 1 into 1 19.188 * [backup-simplify]: Simplify (+ n 0) into n 19.188 * [backup-simplify]: Simplify (* 1 1) into 1 19.188 * [backup-simplify]: Simplify (* 1 1) into 1 19.189 * [backup-simplify]: Simplify (* n n) into (pow n 2) 19.189 * [backup-simplify]: Simplify (* n (pow n 2)) into (pow n 3) 19.189 * [backup-simplify]: Simplify (/ 1 (pow n 3)) into (/ 1 (pow n 3)) 19.189 * [taylor]: Taking taylor expansion of (/ (pow f 3) (pow (+ n f) 3)) in f 19.190 * [taylor]: Taking taylor expansion of (pow f 3) in f 19.190 * [taylor]: Taking taylor expansion of f in f 19.190 * [backup-simplify]: Simplify 0 into 0 19.190 * [backup-simplify]: Simplify 1 into 1 19.190 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in f 19.190 * [taylor]: Taking taylor expansion of (+ n f) in f 19.190 * [taylor]: Taking taylor expansion of n in f 19.190 * [backup-simplify]: Simplify n into n 19.190 * [taylor]: Taking taylor expansion of f in f 19.190 * [backup-simplify]: Simplify 0 into 0 19.190 * [backup-simplify]: Simplify 1 into 1 19.190 * [backup-simplify]: Simplify (+ n 0) into n 19.190 * [backup-simplify]: Simplify (* 1 1) into 1 19.191 * [backup-simplify]: Simplify (* 1 1) into 1 19.191 * [backup-simplify]: Simplify (* n n) into (pow n 2) 19.192 * [backup-simplify]: Simplify (* n (pow n 2)) into (pow n 3) 19.192 * [backup-simplify]: Simplify (/ 1 (pow n 3)) into (/ 1 (pow n 3)) 19.192 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 19.192 * [taylor]: Taking taylor expansion of (pow n 3) in n 19.192 * [taylor]: Taking taylor expansion of n in n 19.192 * [backup-simplify]: Simplify 0 into 0 19.192 * [backup-simplify]: Simplify 1 into 1 19.193 * [backup-simplify]: Simplify (* 1 1) into 1 19.193 * [backup-simplify]: Simplify (* 1 1) into 1 19.193 * [backup-simplify]: Simplify (/ 1 1) into 1 19.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.202 * [backup-simplify]: Simplify 0 into 0 19.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.204 * [backup-simplify]: Simplify (+ 0 1) into 1 19.205 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 19.206 * [backup-simplify]: Simplify (+ (* n (* 2 n)) (* 1 (pow n 2))) into (* 3 (pow n 2)) 19.208 * [backup-simplify]: Simplify (- (/ 0 (pow n 3)) (+ (* (/ 1 (pow n 3)) (/ (* 3 (pow n 2)) (pow n 3))))) into (- (* 3 (/ 1 (pow n 4)))) 19.208 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow n 4)))) in n 19.208 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 4))) in n 19.208 * [taylor]: Taking taylor expansion of 3 in n 19.208 * [backup-simplify]: Simplify 3 into 3 19.208 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 19.208 * [taylor]: Taking taylor expansion of (pow n 4) in n 19.208 * [taylor]: Taking taylor expansion of n in n 19.208 * [backup-simplify]: Simplify 0 into 0 19.208 * [backup-simplify]: Simplify 1 into 1 19.209 * [backup-simplify]: Simplify (* 1 1) into 1 19.209 * [backup-simplify]: Simplify (* 1 1) into 1 19.210 * [backup-simplify]: Simplify (/ 1 1) into 1 19.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.222 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.222 * [backup-simplify]: Simplify (- 0) into 0 19.222 * [backup-simplify]: Simplify 0 into 0 19.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.225 * [backup-simplify]: Simplify 0 into 0 19.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.226 * [backup-simplify]: Simplify (+ 0 0) into 0 19.227 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 19.227 * [backup-simplify]: Simplify (+ (* n 1) (+ (* 1 (* 2 n)) (* 0 (pow n 2)))) into (* 3 n) 19.229 * [backup-simplify]: Simplify (- (/ 0 (pow n 3)) (+ (* (/ 1 (pow n 3)) (/ (* 3 n) (pow n 3))) (* (- (* 3 (/ 1 (pow n 4)))) (/ (* 3 (pow n 2)) (pow n 3))))) into (* 6 (/ 1 (pow n 5))) 19.229 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow n 5))) in n 19.229 * [taylor]: Taking taylor expansion of 6 in n 19.229 * [backup-simplify]: Simplify 6 into 6 19.229 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n 19.229 * [taylor]: Taking taylor expansion of (pow n 5) in n 19.229 * [taylor]: Taking taylor expansion of n in n 19.229 * [backup-simplify]: Simplify 0 into 0 19.229 * [backup-simplify]: Simplify 1 into 1 19.229 * [backup-simplify]: Simplify (* 1 1) into 1 19.230 * [backup-simplify]: Simplify (* 1 1) into 1 19.230 * [backup-simplify]: Simplify (* 1 1) into 1 19.230 * [backup-simplify]: Simplify (/ 1 1) into 1 19.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.249 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.249 * [backup-simplify]: Simplify 0 into 0 19.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.252 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.253 * [backup-simplify]: Simplify (- 0) into 0 19.253 * [backup-simplify]: Simplify 0 into 0 19.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.257 * [backup-simplify]: Simplify 0 into 0 19.257 * [backup-simplify]: Simplify 0 into 0 19.259 * [backup-simplify]: Simplify (* (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) (* (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 3) (pow f 3))) 19.259 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 3) (pow f 3))) in (f n) around 0 19.259 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 3) (pow f 3))) in n 19.259 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 3) (pow f 3)) in n 19.259 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in n 19.259 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 19.259 * [taylor]: Taking taylor expansion of (/ 1 f) in n 19.259 * [taylor]: Taking taylor expansion of f in n 19.259 * [backup-simplify]: Simplify f into f 19.259 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 19.259 * [taylor]: Taking taylor expansion of (/ 1 n) in n 19.259 * [taylor]: Taking taylor expansion of n in n 19.260 * [backup-simplify]: Simplify 0 into 0 19.260 * [backup-simplify]: Simplify 1 into 1 19.260 * [backup-simplify]: Simplify (/ 1 1) into 1 19.261 * [backup-simplify]: Simplify (+ 0 1) into 1 19.261 * [taylor]: Taking taylor expansion of (pow f 3) in n 19.261 * [taylor]: Taking taylor expansion of f in n 19.261 * [backup-simplify]: Simplify f into f 19.261 * [backup-simplify]: Simplify (* 1 1) into 1 19.261 * [backup-simplify]: Simplify (* 1 1) into 1 19.262 * [backup-simplify]: Simplify (* f f) into (pow f 2) 19.262 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3) 19.262 * [backup-simplify]: Simplify (* 1 (pow f 3)) into (pow f 3) 19.263 * [backup-simplify]: Simplify (/ 1 (pow f 3)) into (/ 1 (pow f 3)) 19.263 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 3) (pow f 3))) in f 19.263 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 3) (pow f 3)) in f 19.263 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 19.263 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 19.263 * [taylor]: Taking taylor expansion of (/ 1 f) in f 19.263 * [taylor]: Taking taylor expansion of f in f 19.263 * [backup-simplify]: Simplify 0 into 0 19.263 * [backup-simplify]: Simplify 1 into 1 19.264 * [backup-simplify]: Simplify (/ 1 1) into 1 19.264 * [taylor]: Taking taylor expansion of (/ 1 n) in f 19.264 * [taylor]: Taking taylor expansion of n in f 19.264 * [backup-simplify]: Simplify n into n 19.264 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 19.264 * [backup-simplify]: Simplify (+ 1 0) into 1 19.264 * [taylor]: Taking taylor expansion of (pow f 3) in f 19.264 * [taylor]: Taking taylor expansion of f in f 19.264 * [backup-simplify]: Simplify 0 into 0 19.264 * [backup-simplify]: Simplify 1 into 1 19.265 * [backup-simplify]: Simplify (* 1 1) into 1 19.265 * [backup-simplify]: Simplify (* 1 1) into 1 19.266 * [backup-simplify]: Simplify (* 1 1) into 1 19.266 * [backup-simplify]: Simplify (* 1 1) into 1 19.266 * [backup-simplify]: Simplify (* 1 1) into 1 19.267 * [backup-simplify]: Simplify (/ 1 1) into 1 19.267 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 3) (pow f 3))) in f 19.267 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 3) (pow f 3)) in f 19.267 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 19.267 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 19.267 * [taylor]: Taking taylor expansion of (/ 1 f) in f 19.267 * [taylor]: Taking taylor expansion of f in f 19.267 * [backup-simplify]: Simplify 0 into 0 19.267 * [backup-simplify]: Simplify 1 into 1 19.268 * [backup-simplify]: Simplify (/ 1 1) into 1 19.268 * [taylor]: Taking taylor expansion of (/ 1 n) in f 19.268 * [taylor]: Taking taylor expansion of n in f 19.268 * [backup-simplify]: Simplify n into n 19.268 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 19.268 * [backup-simplify]: Simplify (+ 1 0) into 1 19.268 * [taylor]: Taking taylor expansion of (pow f 3) in f 19.268 * [taylor]: Taking taylor expansion of f in f 19.268 * [backup-simplify]: Simplify 0 into 0 19.268 * [backup-simplify]: Simplify 1 into 1 19.269 * [backup-simplify]: Simplify (* 1 1) into 1 19.269 * [backup-simplify]: Simplify (* 1 1) into 1 19.270 * [backup-simplify]: Simplify (* 1 1) into 1 19.270 * [backup-simplify]: Simplify (* 1 1) into 1 19.270 * [backup-simplify]: Simplify (* 1 1) into 1 19.271 * [backup-simplify]: Simplify (/ 1 1) into 1 19.271 * [taylor]: Taking taylor expansion of 1 in n 19.271 * [backup-simplify]: Simplify 1 into 1 19.271 * [backup-simplify]: Simplify 0 into 0 19.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.274 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 19.274 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 19.274 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 19.275 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 3 (/ 1 n)) 1)) into (* 3 (/ 1 n)) 19.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 3 (/ 1 n)) 1)))) into (- (* 3 (/ 1 n))) 19.276 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 n))) in n 19.276 * [taylor]: Taking taylor expansion of (* 3 (/ 1 n)) in n 19.276 * [taylor]: Taking taylor expansion of 3 in n 19.276 * [backup-simplify]: Simplify 3 into 3 19.276 * [taylor]: Taking taylor expansion of (/ 1 n) in n 19.276 * [taylor]: Taking taylor expansion of n in n 19.276 * [backup-simplify]: Simplify 0 into 0 19.276 * [backup-simplify]: Simplify 1 into 1 19.276 * [backup-simplify]: Simplify (/ 1 1) into 1 19.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.282 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.282 * [backup-simplify]: Simplify (- 0) into 0 19.282 * [backup-simplify]: Simplify 0 into 0 19.283 * [backup-simplify]: Simplify 0 into 0 19.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 19.286 * [backup-simplify]: Simplify (+ 0 0) into 0 19.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 19.287 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (* 2 (/ 1 n))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 19.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 3 (/ 1 n)) 0) (* (* 3 (/ 1 (pow n 2))) 1))) into (* 3 (/ 1 (pow n 2))) 19.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 3 (/ 1 (pow n 2))) 1)) (* (- (* 3 (/ 1 n))) (/ (* 3 (/ 1 n)) 1)))) into (* 6 (/ 1 (pow n 2))) 19.289 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow n 2))) in n 19.289 * [taylor]: Taking taylor expansion of 6 in n 19.289 * [backup-simplify]: Simplify 6 into 6 19.289 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 19.289 * [taylor]: Taking taylor expansion of (pow n 2) in n 19.289 * [taylor]: Taking taylor expansion of n in n 19.289 * [backup-simplify]: Simplify 0 into 0 19.289 * [backup-simplify]: Simplify 1 into 1 19.289 * [backup-simplify]: Simplify (* 1 1) into 1 19.290 * [backup-simplify]: Simplify (/ 1 1) into 1 19.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.297 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.297 * [backup-simplify]: Simplify 0 into 0 19.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.299 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.299 * [backup-simplify]: Simplify (- 0) into 0 19.299 * [backup-simplify]: Simplify 0 into 0 19.299 * [backup-simplify]: Simplify 0 into 0 19.299 * [backup-simplify]: Simplify 0 into 0 19.300 * [backup-simplify]: Simplify (* (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) (* (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 3) (pow f 3))) 19.300 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 3) (pow f 3))) in (f n) around 0 19.300 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 3) (pow f 3))) in n 19.300 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 3) (pow f 3)) in n 19.300 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in n 19.300 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 19.300 * [taylor]: Taking taylor expansion of (/ 1 f) in n 19.300 * [taylor]: Taking taylor expansion of f in n 19.300 * [backup-simplify]: Simplify f into f 19.300 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 19.300 * [taylor]: Taking taylor expansion of (/ 1 n) in n 19.300 * [taylor]: Taking taylor expansion of n in n 19.300 * [backup-simplify]: Simplify 0 into 0 19.300 * [backup-simplify]: Simplify 1 into 1 19.301 * [backup-simplify]: Simplify (/ 1 1) into 1 19.301 * [backup-simplify]: Simplify (+ 0 1) into 1 19.301 * [taylor]: Taking taylor expansion of (pow f 3) in n 19.301 * [taylor]: Taking taylor expansion of f in n 19.301 * [backup-simplify]: Simplify f into f 19.301 * [backup-simplify]: Simplify (* 1 1) into 1 19.302 * [backup-simplify]: Simplify (* 1 1) into 1 19.302 * [backup-simplify]: Simplify (* f f) into (pow f 2) 19.302 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3) 19.302 * [backup-simplify]: Simplify (* 1 (pow f 3)) into (pow f 3) 19.302 * [backup-simplify]: Simplify (/ 1 (pow f 3)) into (/ 1 (pow f 3)) 19.302 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 3) (pow f 3))) in f 19.302 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 3) (pow f 3)) in f 19.302 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 19.302 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 19.303 * [taylor]: Taking taylor expansion of (/ 1 f) in f 19.303 * [taylor]: Taking taylor expansion of f in f 19.303 * [backup-simplify]: Simplify 0 into 0 19.303 * [backup-simplify]: Simplify 1 into 1 19.303 * [backup-simplify]: Simplify (/ 1 1) into 1 19.303 * [taylor]: Taking taylor expansion of (/ 1 n) in f 19.303 * [taylor]: Taking taylor expansion of n in f 19.303 * [backup-simplify]: Simplify n into n 19.303 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 19.303 * [backup-simplify]: Simplify (+ 1 0) into 1 19.303 * [taylor]: Taking taylor expansion of (pow f 3) in f 19.303 * [taylor]: Taking taylor expansion of f in f 19.303 * [backup-simplify]: Simplify 0 into 0 19.303 * [backup-simplify]: Simplify 1 into 1 19.304 * [backup-simplify]: Simplify (* 1 1) into 1 19.304 * [backup-simplify]: Simplify (* 1 1) into 1 19.304 * [backup-simplify]: Simplify (* 1 1) into 1 19.304 * [backup-simplify]: Simplify (* 1 1) into 1 19.305 * [backup-simplify]: Simplify (* 1 1) into 1 19.305 * [backup-simplify]: Simplify (/ 1 1) into 1 19.306 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 3) (pow f 3))) in f 19.306 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 3) (pow f 3)) in f 19.306 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 19.306 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 19.306 * [taylor]: Taking taylor expansion of (/ 1 f) in f 19.306 * [taylor]: Taking taylor expansion of f in f 19.306 * [backup-simplify]: Simplify 0 into 0 19.306 * [backup-simplify]: Simplify 1 into 1 19.306 * [backup-simplify]: Simplify (/ 1 1) into 1 19.306 * [taylor]: Taking taylor expansion of (/ 1 n) in f 19.306 * [taylor]: Taking taylor expansion of n in f 19.306 * [backup-simplify]: Simplify n into n 19.306 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 19.306 * [backup-simplify]: Simplify (+ 1 0) into 1 19.306 * [taylor]: Taking taylor expansion of (pow f 3) in f 19.306 * [taylor]: Taking taylor expansion of f in f 19.306 * [backup-simplify]: Simplify 0 into 0 19.306 * [backup-simplify]: Simplify 1 into 1 19.307 * [backup-simplify]: Simplify (* 1 1) into 1 19.307 * [backup-simplify]: Simplify (* 1 1) into 1 19.307 * [backup-simplify]: Simplify (* 1 1) into 1 19.307 * [backup-simplify]: Simplify (* 1 1) into 1 19.308 * [backup-simplify]: Simplify (* 1 1) into 1 19.308 * [backup-simplify]: Simplify (/ 1 1) into 1 19.308 * [taylor]: Taking taylor expansion of 1 in n 19.308 * [backup-simplify]: Simplify 1 into 1 19.308 * [backup-simplify]: Simplify 0 into 0 19.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.310 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 19.310 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 19.310 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 19.310 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 3 (/ 1 n)) 1)) into (* 3 (/ 1 n)) 19.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 3 (/ 1 n)) 1)))) into (- (* 3 (/ 1 n))) 19.311 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 n))) in n 19.311 * [taylor]: Taking taylor expansion of (* 3 (/ 1 n)) in n 19.311 * [taylor]: Taking taylor expansion of 3 in n 19.311 * [backup-simplify]: Simplify 3 into 3 19.311 * [taylor]: Taking taylor expansion of (/ 1 n) in n 19.311 * [taylor]: Taking taylor expansion of n in n 19.311 * [backup-simplify]: Simplify 0 into 0 19.311 * [backup-simplify]: Simplify 1 into 1 19.311 * [backup-simplify]: Simplify (/ 1 1) into 1 19.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.316 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.316 * [backup-simplify]: Simplify (- 0) into 0 19.316 * [backup-simplify]: Simplify 0 into 0 19.316 * [backup-simplify]: Simplify 0 into 0 19.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 19.321 * [backup-simplify]: Simplify (+ 0 0) into 0 19.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 19.324 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (* 2 (/ 1 n))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 19.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 3 (/ 1 n)) 0) (* (* 3 (/ 1 (pow n 2))) 1))) into (* 3 (/ 1 (pow n 2))) 19.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 3 (/ 1 (pow n 2))) 1)) (* (- (* 3 (/ 1 n))) (/ (* 3 (/ 1 n)) 1)))) into (* 6 (/ 1 (pow n 2))) 19.327 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow n 2))) in n 19.327 * [taylor]: Taking taylor expansion of 6 in n 19.327 * [backup-simplify]: Simplify 6 into 6 19.327 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 19.327 * [taylor]: Taking taylor expansion of (pow n 2) in n 19.327 * [taylor]: Taking taylor expansion of n in n 19.327 * [backup-simplify]: Simplify 0 into 0 19.327 * [backup-simplify]: Simplify 1 into 1 19.328 * [backup-simplify]: Simplify (* 1 1) into 1 19.328 * [backup-simplify]: Simplify (/ 1 1) into 1 19.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.342 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.342 * [backup-simplify]: Simplify 0 into 0 19.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.345 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.346 * [backup-simplify]: Simplify (- 0) into 0 19.346 * [backup-simplify]: Simplify 0 into 0 19.346 * [backup-simplify]: Simplify 0 into 0 19.346 * [backup-simplify]: Simplify 0 into 0 19.346 * * * [progress]: simplifying candidates 19.346 * * * * [progress]: [ 1 / 343 ] simplifiying candidate #real (real->posit16 (* (/ f (+ n f)) (/ f (+ n f)))))))))> 19.346 * * * * [progress]: [ 2 / 343 ] simplifiying candidate # 19.346 * * * * [progress]: [ 3 / 343 ] simplifiying candidate # 19.346 * * * * [progress]: [ 4 / 343 ] simplifiying candidate # 19.346 * * * * [progress]: [ 5 / 343 ] simplifiying candidate # 19.346 * * * * [progress]: [ 6 / 343 ] simplifiying candidate # 19.347 * * * * [progress]: [ 7 / 343 ] simplifiying candidate # 19.347 * * * * [progress]: [ 8 / 343 ] simplifiying candidate # 19.347 * * * * [progress]: [ 9 / 343 ] simplifiying candidate # 19.347 * * * * [progress]: [ 10 / 343 ] simplifiying candidate # 19.347 * * * * [progress]: [ 11 / 343 ] simplifiying candidate # 19.347 * * * * [progress]: [ 12 / 343 ] simplifiying candidate # 19.347 * * * * [progress]: [ 13 / 343 ] simplifiying 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] simplifiying candidate # 19.350 * * * * [progress]: [ 45 / 343 ] simplifiying candidate # 19.350 * * * * [progress]: [ 46 / 343 ] simplifiying candidate # 19.350 * * * * [progress]: [ 47 / 343 ] simplifiying candidate # 19.350 * * * * [progress]: [ 48 / 343 ] simplifiying candidate # 19.350 * * * * [progress]: [ 49 / 343 ] simplifiying candidate # 19.350 * * * * [progress]: [ 50 / 343 ] simplifiying candidate # 19.351 * * * * [progress]: [ 51 / 343 ] simplifiying candidate # 19.351 * * * * [progress]: [ 52 / 343 ] simplifiying candidate # 19.351 * * * * [progress]: [ 53 / 343 ] simplifiying candidate # 19.351 * * * * [progress]: [ 54 / 343 ] simplifiying candidate # 19.351 * * * * [progress]: [ 55 / 343 ] simplifiying candidate # 19.351 * * * * [progress]: [ 56 / 343 ] simplifiying candidate # 19.351 * * * * [progress]: [ 57 / 343 ] simplifiying candidate # 19.351 * * * * [progress]: [ 58 / 343 ] simplifiying candidate # 19.351 * * * * [progress]: [ 59 / 343 ] simplifiying candidate # 19.351 * * * * [progress]: [ 60 / 343 ] simplifiying candidate # 19.351 * * * * [progress]: [ 61 / 343 ] simplifiying candidate # 19.352 * * * * [progress]: [ 62 / 343 ] simplifiying candidate # 19.352 * * * * [progress]: [ 63 / 343 ] simplifiying candidate # 19.352 * * * * [progress]: [ 64 / 343 ] simplifiying candidate # 19.352 * * * * [progress]: [ 65 / 343 ] simplifiying candidate # 19.352 * * * * [progress]: [ 66 / 343 ] simplifiying candidate # 19.352 * * * * [progress]: [ 67 / 343 ] simplifiying candidate # 19.352 * * * * [progress]: [ 68 / 343 ] simplifiying candidate # 19.352 * * * * [progress]: [ 69 / 343 ] simplifiying candidate # 19.352 * * * * [progress]: [ 70 / 343 ] simplifiying candidate # 19.352 * * * * [progress]: [ 71 / 343 ] simplifiying candidate # 19.352 * * * * [progress]: [ 72 / 343 ] simplifiying candidate # 19.353 * * * * [progress]: [ 73 / 343 ] simplifiying candidate # 19.353 * * * * [progress]: [ 74 / 343 ] simplifiying candidate # 19.353 * * * * 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simplifiying candidate #real (real->posit16 (* (/ f (+ n f)) (/ f (+ n f)))))) (* (/ n (+ n f)) (* (/ n (+ n f)) (/ n (+ n f))))) (+ (* (/ n (+ n f)) (+ (/ f (+ n f)) (/ n (+ n f)))) (* (/ f (+ n f)) (/ f (+ n f)))))))> 19.354 * * * * [progress]: [ 91 / 343 ] simplifiying candidate # 19.354 * * * * [progress]: [ 92 / 343 ] simplifiying candidate # 19.354 * * * * [progress]: [ 93 / 343 ] simplifiying candidate # 19.354 * * * * [progress]: [ 94 / 343 ] simplifiying candidate # 19.354 * * * * [progress]: [ 95 / 343 ] simplifiying candidate # 19.355 * * * * [progress]: [ 96 / 343 ] simplifiying candidate # 19.355 * * * * [progress]: [ 97 / 343 ] simplifiying candidate # 19.355 * * * * [progress]: [ 98 / 343 ] simplifiying candidate # 19.355 * * * * [progress]: [ 99 / 343 ] simplifiying candidate # 19.355 * * * * [progress]: [ 100 / 343 ] simplifiying candidate # 19.355 * * * * [progress]: [ 101 / 343 ] simplifiying candidate # 19.355 * * * * [progress]: [ 102 / 343 ] simplifiying candidate 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[progress]: [ 178 / 343 ] simplifiying candidate # 19.362 * * * * [progress]: [ 179 / 343 ] simplifiying candidate #real (real->posit16 (* (/ n (+ n f)) (/ n (+ n f))))))) (+ (* (/ n (+ n f)) (+ (/ f (+ n f)) (/ n (+ n f)))) (* (/ f (+ n f)) (/ f (+ n f)))))))> 19.362 * * * * [progress]: [ 180 / 343 ] simplifiying candidate # 19.362 * * * * [progress]: [ 181 / 343 ] simplifiying candidate # 19.362 * * * * [progress]: [ 182 / 343 ] simplifiying candidate # 19.363 * * * * [progress]: [ 183 / 343 ] simplifiying candidate # 19.363 * * * * [progress]: [ 184 / 343 ] simplifiying candidate # 19.363 * * * * [progress]: [ 185 / 343 ] simplifiying candidate # 19.363 * * * * [progress]: [ 186 / 343 ] simplifiying candidate # 19.363 * * * * [progress]: [ 187 / 343 ] simplifiying candidate # 19.363 * * * * [progress]: [ 188 / 343 ] simplifiying candidate # 19.363 * * * * [progress]: [ 189 / 343 ] simplifiying candidate # 19.363 * * * * [progress]: [ 190 / 343 ] simplifiying candidate # 19.363 * * * 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[progress]: [ 266 / 343 ] simplifiying candidate # 19.370 * * * * [progress]: [ 267 / 343 ] simplifiying candidate # 19.370 * * * * [progress]: [ 268 / 343 ] simplifiying candidate #real (real->posit16 (* (/ f (+ n f)) (* (/ f (+ n f)) (/ f (+ n f)))))) (* (/ n (+ n f)) (* (/ n (+ n f)) (/ n (+ n f))))) (+ (* (/ n (+ n f)) (+ (/ f (+ n f)) (/ n (+ n f)))) (* (/ f (+ n f)) (/ f (+ n f)))))))> 19.370 * * * * [progress]: [ 269 / 343 ] simplifiying candidate # 19.370 * * * * [progress]: [ 270 / 343 ] simplifiying candidate # 19.370 * * * * [progress]: [ 271 / 343 ] simplifiying candidate # 19.371 * * * * [progress]: [ 272 / 343 ] simplifiying candidate # 19.371 * * * * [progress]: [ 273 / 343 ] simplifiying candidate # 19.371 * * * * [progress]: [ 274 / 343 ] simplifiying candidate # 19.371 * * * * [progress]: [ 275 / 343 ] simplifiying candidate # 19.371 * * * * [progress]: [ 276 / 343 ] simplifiying candidate # 19.371 * * * * [progress]: [ 277 / 343 ] simplifiying candidate # 19.371 * * 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[progress]: [ 293 / 343 ] simplifiying candidate # 19.373 * * * * [progress]: [ 294 / 343 ] simplifiying candidate # 19.373 * * * * [progress]: [ 295 / 343 ] simplifiying candidate # 19.373 * * * * [progress]: [ 296 / 343 ] simplifiying candidate # 19.373 * * * * [progress]: [ 297 / 343 ] simplifiying candidate # 19.373 * * * * [progress]: [ 298 / 343 ] simplifiying candidate # 19.373 * * * * [progress]: [ 299 / 343 ] simplifiying candidate # 19.373 * * * * [progress]: [ 300 / 343 ] simplifiying candidate # 19.373 * * * * [progress]: [ 301 / 343 ] simplifiying candidate # 19.373 * * * * [progress]: [ 302 / 343 ] simplifiying candidate # 19.373 * * * * [progress]: [ 303 / 343 ] simplifiying candidate # 19.374 * * * * [progress]: [ 304 / 343 ] simplifiying candidate # 19.374 * * * * [progress]: [ 305 / 343 ] simplifiying candidate # 19.374 * * * * [progress]: [ 306 / 343 ] simplifiying candidate # 19.374 * * * * [progress]: [ 307 / 343 ] simplifiying candidate # 19.374 * * * * [progress]: [ 308 / 343 ] simplifiying candidate # 19.374 * * * * [progress]: [ 309 / 343 ] simplifiying candidate # 19.374 * * * * [progress]: [ 310 / 343 ] simplifiying candidate # 19.374 * * * * [progress]: [ 311 / 343 ] simplifiying candidate # 19.374 * * * * [progress]: [ 312 / 343 ] simplifiying candidate # 19.374 * * * * [progress]: [ 313 / 343 ] simplifiying candidate # 19.374 * * * * [progress]: [ 314 / 343 ] simplifiying candidate # 19.374 * * * * [progress]: [ 315 / 343 ] simplifiying candidate # 19.375 * * * * [progress]: [ 316 / 343 ] simplifiying candidate # 19.375 * * * * [progress]: [ 317 / 343 ] simplifiying candidate # 19.375 * * * * [progress]: [ 318 / 343 ] simplifiying candidate # 19.375 * * * * [progress]: [ 319 / 343 ] simplifiying candidate # 19.375 * * * * [progress]: [ 320 / 343 ] simplifiying candidate # 19.375 * * * * [progress]: [ 321 / 343 ] simplifiying candidate # 19.375 * * * * [progress]: [ 322 / 343 ] simplifiying candidate # 19.375 * * * * [progress]: [ 323 / 343 ] simplifiying candidate # 19.375 * * * * [progress]: [ 324 / 343 ] simplifiying candidate # 19.375 * * * * [progress]: [ 325 / 343 ] simplifiying candidate # 19.375 * * * * [progress]: [ 326 / 343 ] simplifiying candidate # 19.376 * * * * [progress]: [ 327 / 343 ] simplifiying candidate # 19.376 * * * * [progress]: [ 328 / 343 ] simplifiying candidate # 19.376 * * * * [progress]: [ 329 / 343 ] simplifiying candidate # 19.376 * * * * [progress]: [ 330 / 343 ] simplifiying candidate # 19.376 * * * * [progress]: [ 331 / 343 ] simplifiying candidate # 19.376 * * * * [progress]: [ 332 / 343 ] simplifiying candidate # 19.376 * * * * [progress]: [ 333 / 343 ] simplifiying candidate # 19.376 * * * * [progress]: [ 334 / 343 ] simplifiying candidate # 19.376 * * * * [progress]: [ 335 / 343 ] simplifiying candidate # 19.376 * * * * [progress]: [ 336 / 343 ] simplifiying candidate # 19.376 * * * * [progress]: [ 337 / 343 ] simplifiying candidate # 19.376 * * * * [progress]: [ 338 / 343 ] simplifiying candidate # 19.376 * * * * [progress]: [ 339 / 343 ] simplifiying candidate # 19.376 * * * * [progress]: [ 340 / 343 ] simplifiying candidate # 19.377 * * * * [progress]: [ 341 / 343 ] simplifiying candidate # 19.377 * * * * [progress]: [ 342 / 343 ] simplifiying candidate # 19.377 * * * * [progress]: [ 343 / 343 ] simplifiying candidate # 19.389 * [simplify]: Simplifying: (real->posit16 (* (/ f (+ n f)) (/ f (+ n f)))) (+ 1 1) (* (/ f (+ n f)) (/ f (+ n f))) (+ 1 1) (+ (- (log f) (log (+ n f))) (- (log f) (log (+ n f)))) (+ (- (log f) (log (+ n f))) (log (/ f (+ n f)))) (+ (log (/ f (+ n f))) (- (log f) (log (+ n f)))) (+ (log (/ f (+ n f))) (log (/ f (+ n f)))) (log (* (/ f (+ n f)) (/ f (+ n f)))) (exp (* (/ f (+ n f)) (/ f (+ n f)))) (* (/ (* (* f f) f) (* (* (+ n f) (+ n f)) (+ n f))) (/ (* (* f f) f) (* (* (+ n f) (+ n f)) (+ n f)))) (* (/ (* (* f f) f) (* (* (+ n f) (+ n f)) (+ n f))) (* (* (/ f (+ n f)) (/ f (+ n f))) (/ f (+ n f)))) (* (* 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(* (/ f (sqrt (+ n f))) (* (/ f (+ n f)) (/ f (+ n f)))) (* (* (/ f (+ n f)) (/ f (+ n f))) (/ f (+ n f))) (* (* (/ f (+ n f)) (/ f (+ n f))) (/ f (+ n f))) (* (* (/ f (+ n f)) (/ f (+ n f))) (/ f (+ n f))) (* (/ (/ f (+ n f)) (+ n f)) (/ f (+ n f))) (* (* (/ f (+ n f)) (/ f (+ n f))) (+ (* (- f n) f) (* n n))) (* (* (/ f (+ n f)) (/ f (+ n f))) (- n f)) (/ (* f (* f f)) (+ n f)) (* (* (/ f (+ n f)) f) (/ f (+ n f))) (* (* (/ f (+ n f)) f) (/ f (+ n f))) (* (* (/ f (+ n f)) f) (/ f (+ n f))) 0 0 0 0 0 0 0 0 0 0 0 0 26.306 * * * [progress]: adding candidates to table 29.326 * [progress]: [Phase 3 of 3] Extracting. 29.327 * * [regime]: Finding splitpoints for: (# # #) 29.338 * * * [regime-changes]: Trying 2 branch expressions: (n f) 29.339 * * * * [regimes]: Trying to branch on n from (# # #) 29.461 * * * * [regimes]: Trying to branch on f from (# # #) 29.590 * * * [regime]: Found split indices: #