0.764 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.126 * * * [progress]: [2/2] Setting up program. 0.134 * [progress]: [Phase 2 of 3] Improving. 0.137 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.137 * * [simplify]: iteration 0: 6 enodes 0.142 * * [simplify]: iteration 1: 13 enodes 0.145 * * [simplify]: iteration 2: 16 enodes 0.147 * * [simplify]: iteration 3: 20 enodes 0.150 * * [simplify]: iteration 4: 24 enodes 0.153 * * [simplify]: iteration 5: 29 enodes 0.156 * * [simplify]: iteration 6: 31 enodes 0.160 * * [simplify]: iteration complete: 31 enodes 0.160 * * [simplify]: Extracting #0: cost 1 inf + 0 0.160 * * [simplify]: Extracting #1: cost 9 inf + 0 0.160 * * [simplify]: Extracting #2: cost 14 inf + 0 0.161 * * [simplify]: Extracting #3: cost 11 inf + 43 0.161 * * [simplify]: Extracting #4: cost 2 inf + 860 0.161 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.162 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.163 * * [progress]: iteration 1 / 4 0.163 * * * [progress]: picking best candidate 0.167 * * * * [pick]: Picked # 0.167 * * * [progress]: localizing error 0.179 * * * [progress]: generating rewritten candidates 0.179 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.382 * * * [progress]: generating series expansions 0.382 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.390 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.390 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.391 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.391 * [taylor]: Taking taylor expansion of -1 in n 0.391 * [backup-simplify]: Simplify -1 into -1 0.391 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.391 * [taylor]: Taking taylor expansion of (+ n f) in n 0.391 * [taylor]: Taking taylor expansion of n in n 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.392 * [taylor]: Taking taylor expansion of f in n 0.392 * [backup-simplify]: Simplify f into f 0.393 * [taylor]: Taking taylor expansion of (- f n) in n 0.393 * [taylor]: Taking taylor expansion of f in n 0.393 * [backup-simplify]: Simplify f into f 0.393 * [taylor]: Taking taylor expansion of n in n 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (+ 0 f) into f 0.394 * [backup-simplify]: Simplify (- 0) into 0 0.394 * [backup-simplify]: Simplify (+ f 0) into f 0.395 * [backup-simplify]: Simplify (/ f f) into 1 0.395 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.395 * [taylor]: Taking taylor expansion of -1 in f 0.395 * [backup-simplify]: Simplify -1 into -1 0.395 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.395 * [taylor]: Taking taylor expansion of (+ n f) in f 0.395 * [taylor]: Taking taylor expansion of n in f 0.395 * [backup-simplify]: Simplify n into n 0.395 * [taylor]: Taking taylor expansion of f in f 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [taylor]: Taking taylor expansion of (- f n) in f 0.395 * [taylor]: Taking taylor expansion of f in f 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [taylor]: Taking taylor expansion of n in f 0.395 * [backup-simplify]: Simplify n into n 0.395 * [backup-simplify]: Simplify (+ n 0) into n 0.395 * [backup-simplify]: Simplify (- n) into (- n) 0.395 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.395 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.395 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.395 * [taylor]: Taking taylor expansion of -1 in f 0.395 * [backup-simplify]: Simplify -1 into -1 0.395 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.395 * [taylor]: Taking taylor expansion of (+ n f) in f 0.395 * [taylor]: Taking taylor expansion of n in f 0.395 * [backup-simplify]: Simplify n into n 0.396 * [taylor]: Taking taylor expansion of f in f 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of (- f n) in f 0.396 * [taylor]: Taking taylor expansion of f in f 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of n in f 0.396 * [backup-simplify]: Simplify n into n 0.396 * [backup-simplify]: Simplify (+ n 0) into n 0.396 * [backup-simplify]: Simplify (- n) into (- n) 0.396 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.396 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.398 * [backup-simplify]: Simplify (* -1 -1) into 1 0.398 * [taylor]: Taking taylor expansion of 1 in n 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (+ 0 1) into 1 0.400 * [backup-simplify]: Simplify (- 0) into 0 0.401 * [backup-simplify]: Simplify (+ 1 0) into 1 0.401 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.402 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.402 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.402 * [taylor]: Taking taylor expansion of 2 in n 0.402 * [backup-simplify]: Simplify 2 into 2 0.402 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.402 * [taylor]: Taking taylor expansion of n in n 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.409 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.409 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.409 * [taylor]: Taking taylor expansion of 2 in n 0.409 * [backup-simplify]: Simplify 2 into 2 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.409 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.409 * [taylor]: Taking taylor expansion of n in n 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (- 0) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [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)))) 0.421 * [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))) 0.421 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.421 * [taylor]: Taking taylor expansion of 2 in n 0.421 * [backup-simplify]: Simplify 2 into 2 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.421 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.421 * [taylor]: Taking taylor expansion of n in n 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.434 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.434 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.434 * [taylor]: Taking taylor expansion of -1 in n 0.434 * [backup-simplify]: Simplify -1 into -1 0.434 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.434 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.434 * [taylor]: Taking taylor expansion of f in n 0.434 * [backup-simplify]: Simplify f into f 0.434 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.434 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.434 * [taylor]: Taking taylor expansion of n in n 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.435 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.435 * [taylor]: Taking taylor expansion of f in n 0.435 * [backup-simplify]: Simplify f into f 0.435 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.435 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.435 * [taylor]: Taking taylor expansion of n in n 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [backup-simplify]: Simplify (+ 0 1) into 1 0.437 * [backup-simplify]: Simplify (- 1) into -1 0.437 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.438 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.438 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.438 * [taylor]: Taking taylor expansion of -1 in f 0.438 * [backup-simplify]: Simplify -1 into -1 0.438 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.438 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.438 * [taylor]: Taking taylor expansion of f in f 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.439 * [taylor]: Taking taylor expansion of n in f 0.439 * [backup-simplify]: Simplify n into n 0.439 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.439 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.439 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.439 * [taylor]: Taking taylor expansion of f in f 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.439 * [taylor]: Taking taylor expansion of n in f 0.439 * [backup-simplify]: Simplify n into n 0.440 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.440 * [backup-simplify]: Simplify (+ 1 0) into 1 0.441 * [backup-simplify]: Simplify (+ 1 0) into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.441 * [taylor]: Taking taylor expansion of -1 in f 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.441 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.441 * [taylor]: Taking taylor expansion of f in f 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.442 * [taylor]: Taking taylor expansion of n in f 0.442 * [backup-simplify]: Simplify n into n 0.442 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.442 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.442 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.442 * [taylor]: Taking taylor expansion of f in f 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.442 * [taylor]: Taking taylor expansion of n in f 0.443 * [backup-simplify]: Simplify n into n 0.443 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.443 * [backup-simplify]: Simplify (+ 1 0) into 1 0.444 * [backup-simplify]: Simplify (+ 1 0) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [backup-simplify]: Simplify (* -1 1) into -1 0.445 * [taylor]: Taking taylor expansion of -1 in n 0.445 * [backup-simplify]: Simplify -1 into -1 0.445 * [backup-simplify]: Simplify -1 into -1 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.447 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.447 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.448 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.448 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.448 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.448 * [taylor]: Taking taylor expansion of 2 in n 0.448 * [backup-simplify]: Simplify 2 into 2 0.448 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.448 * [taylor]: Taking taylor expansion of n in n 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.482 * [backup-simplify]: Simplify (- 0) into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.491 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.491 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.492 * [taylor]: Taking taylor expansion of 2 in n 0.492 * [backup-simplify]: Simplify 2 into 2 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.492 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.492 * [taylor]: Taking taylor expansion of n in n 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (* 1 1) into 1 0.493 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.500 * [backup-simplify]: Simplify (- 0) into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.503 * [backup-simplify]: Simplify (- 0) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.507 * [backup-simplify]: Simplify (- 0) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [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))) 0.511 * [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)))) 0.511 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.511 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.511 * [taylor]: Taking taylor expansion of 2 in n 0.511 * [backup-simplify]: Simplify 2 into 2 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.511 * [taylor]: Taking taylor expansion of (pow n 3) 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 0.512 * [backup-simplify]: Simplify (* 1 1) into 1 0.512 * [backup-simplify]: Simplify (* 1 1) into 1 0.513 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.520 * [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 0.554 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (- 0) into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify -1 into -1 0.556 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.556 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.556 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.556 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.556 * [taylor]: Taking taylor expansion of f in n 0.556 * [backup-simplify]: Simplify f into f 0.556 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.556 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.556 * [taylor]: Taking taylor expansion of n in n 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (/ 1 1) into 1 0.557 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.557 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.557 * [taylor]: Taking taylor expansion of n in n 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.558 * [taylor]: Taking taylor expansion of f in n 0.558 * [backup-simplify]: Simplify f into f 0.558 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.558 * [backup-simplify]: Simplify (+ 0 1) into 1 0.559 * [backup-simplify]: Simplify (+ 1 0) into 1 0.560 * [backup-simplify]: Simplify (/ 1 1) into 1 0.560 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.560 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.560 * [taylor]: Taking taylor expansion of f in f 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (/ 1 1) into 1 0.561 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.561 * [taylor]: Taking taylor expansion of n in f 0.561 * [backup-simplify]: Simplify n into n 0.561 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.561 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.561 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.561 * [taylor]: Taking taylor expansion of n in f 0.561 * [backup-simplify]: Simplify n into n 0.561 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.561 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.561 * [taylor]: Taking taylor expansion of f in f 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) into 1 0.563 * [backup-simplify]: Simplify (- 1) into -1 0.564 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.564 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.564 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.564 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.564 * [taylor]: Taking taylor expansion of f in f 0.564 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (/ 1 1) into 1 0.565 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.565 * [taylor]: Taking taylor expansion of n in f 0.565 * [backup-simplify]: Simplify n into n 0.565 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.565 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.565 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.566 * [taylor]: Taking taylor expansion of n in f 0.566 * [backup-simplify]: Simplify n into n 0.566 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.566 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.566 * [taylor]: Taking taylor expansion of f in f 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.567 * [backup-simplify]: Simplify (+ 1 0) into 1 0.568 * [backup-simplify]: Simplify (- 1) into -1 0.568 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.569 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.569 * [taylor]: Taking taylor expansion of -1 in n 0.569 * [backup-simplify]: Simplify -1 into -1 0.569 * [backup-simplify]: Simplify -1 into -1 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (- 0) into 0 0.572 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.572 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.572 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.572 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.572 * [taylor]: Taking taylor expansion of 2 in n 0.573 * [backup-simplify]: Simplify 2 into 2 0.573 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.573 * [taylor]: Taking taylor expansion of n in n 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (/ 1 1) into 1 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.575 * [backup-simplify]: Simplify (- 0) into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.578 * [backup-simplify]: Simplify (- 0) into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.580 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.580 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.580 * [taylor]: Taking taylor expansion of 2 in n 0.580 * [backup-simplify]: Simplify 2 into 2 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.580 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.580 * [taylor]: Taking taylor expansion of n in n 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (* 1 1) into 1 0.581 * [backup-simplify]: Simplify (/ 1 1) into 1 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.585 * [backup-simplify]: Simplify (- 0) into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.588 * [backup-simplify]: Simplify (- 0) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.621 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (- 0) into 0 0.623 * [backup-simplify]: Simplify (+ 0 0) into 0 0.625 * [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)))) 0.625 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.625 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.625 * [taylor]: Taking taylor expansion of 2 in n 0.625 * [backup-simplify]: Simplify 2 into 2 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.625 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.625 * [taylor]: Taking taylor expansion of n in n 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (* 1 1) into 1 0.626 * [backup-simplify]: Simplify (* 1 1) into 1 0.627 * [backup-simplify]: Simplify (/ 1 1) into 1 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (- 0) into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify -1 into -1 0.653 * * * [progress]: simplifying candidates 0.655 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.657 * * [simplify]: iteration 0: 135 enodes 0.688 * * [simplify]: iteration 1: 316 enodes 0.762 * * [simplify]: iteration 2: 708 enodes 0.968 * * [simplify]: iteration 3: 2249 enodes 2.101 * * [simplify]: iteration complete: 5005 enodes 2.101 * * [simplify]: Extracting #0: cost 88 inf + 0 2.102 * * [simplify]: Extracting #1: cost 479 inf + 3 2.107 * * [simplify]: Extracting #2: cost 829 inf + 8175 2.122 * * [simplify]: Extracting #3: cost 779 inf + 76041 2.171 * * [simplify]: Extracting #4: cost 260 inf + 196234 2.243 * * [simplify]: Extracting #5: cost 91 inf + 238474 2.341 * * [simplify]: Extracting #6: cost 8 inf + 251008 2.426 * * [simplify]: Extracting #7: cost 0 inf + 253031 2.533 * [simplify]: Simplified to: (expm1 (- (/ (+ n f) (- f n)))) (log1p (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (exp (- (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (- (/ (+ n f) (- f n))))) (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n))))) (cbrt (- (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (- (/ (+ n f) (- f n))))) (sqrt (- (/ (+ n f) (- f n)))) (sqrt (- (/ (+ n f) (- f n)))) (+ n f) (- (- f n)) 0 (/ (+ n f) (- f n)) (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (/ (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))) (/ (+ (sqrt n) (sqrt f)) (cbrt (- (+ n f))))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (- f n))) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n)))) (/ (cbrt (+ n f)) (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (/ (- (sqrt (+ n f))) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (+ n f)) (cbrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (cbrt (+ n f)) (/ (+ (sqrt n) (sqrt f)) (cbrt (+ n f)))) (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ n f))) (cbrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (- (/ (+ n f) (cbrt (- f n)))) (cbrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- (+ n f)) (- (* (* f f) f) (* (* n n) n))) (- (/ 1 (- f n))) (* (- f n) (fma n n (* f (- f n)))) (* (- f n) (- f n)) 1 -1 -1 2.544 * * * [progress]: adding candidates to table 2.967 * * [progress]: iteration 2 / 4 2.967 * * * [progress]: picking best candidate 2.993 * * * * [pick]: Picked # 2.993 * * * [progress]: localizing error 3.006 * * * [progress]: generating rewritten candidates 3.007 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 3.029 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.077 * * * [progress]: generating series expansions 3.078 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 3.078 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 3.078 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 3.078 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 3.078 * [taylor]: Taking taylor expansion of (- f n) in n 3.078 * [taylor]: Taking taylor expansion of f in n 3.078 * [backup-simplify]: Simplify f into f 3.078 * [taylor]: Taking taylor expansion of n in n 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 1 into 1 3.078 * [taylor]: Taking taylor expansion of (+ n f) in n 3.078 * [taylor]: Taking taylor expansion of n in n 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 1 into 1 3.078 * [taylor]: Taking taylor expansion of f in n 3.078 * [backup-simplify]: Simplify f into f 3.079 * [backup-simplify]: Simplify (- 0) into 0 3.079 * [backup-simplify]: Simplify (+ f 0) into f 3.079 * [backup-simplify]: Simplify (+ 0 f) into f 3.079 * [backup-simplify]: Simplify (/ f f) into 1 3.079 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.079 * [taylor]: Taking taylor expansion of (- f n) in f 3.079 * [taylor]: Taking taylor expansion of f in f 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [taylor]: Taking taylor expansion of n in f 3.079 * [backup-simplify]: Simplify n into n 3.079 * [taylor]: Taking taylor expansion of (+ n f) in f 3.079 * [taylor]: Taking taylor expansion of n in f 3.079 * [backup-simplify]: Simplify n into n 3.079 * [taylor]: Taking taylor expansion of f in f 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [backup-simplify]: Simplify (- n) into (- n) 3.079 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.079 * [backup-simplify]: Simplify (+ n 0) into n 3.079 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.079 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.079 * [taylor]: Taking taylor expansion of (- f n) in f 3.079 * [taylor]: Taking taylor expansion of f in f 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [taylor]: Taking taylor expansion of n in f 3.079 * [backup-simplify]: Simplify n into n 3.079 * [taylor]: Taking taylor expansion of (+ n f) in f 3.079 * [taylor]: Taking taylor expansion of n in f 3.079 * [backup-simplify]: Simplify n into n 3.079 * [taylor]: Taking taylor expansion of f in f 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [backup-simplify]: Simplify (- n) into (- n) 3.079 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.079 * [backup-simplify]: Simplify (+ n 0) into n 3.079 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.079 * [taylor]: Taking taylor expansion of -1 in n 3.079 * [backup-simplify]: Simplify -1 into -1 3.079 * [backup-simplify]: Simplify -1 into -1 3.080 * [backup-simplify]: Simplify (- 0) into 0 3.080 * [backup-simplify]: Simplify (+ 1 0) into 1 3.080 * [backup-simplify]: Simplify (+ 0 1) into 1 3.080 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 3.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.080 * [taylor]: Taking taylor expansion of 2 in n 3.081 * [backup-simplify]: Simplify 2 into 2 3.081 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.081 * [taylor]: Taking taylor expansion of n in n 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 1 into 1 3.081 * [backup-simplify]: Simplify (/ 1 1) into 1 3.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.082 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify (- 0) into 0 3.082 * [backup-simplify]: Simplify (+ 0 0) into 0 3.083 * [backup-simplify]: Simplify (+ 0 0) into 0 3.083 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 3.083 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.083 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.083 * [taylor]: Taking taylor expansion of 2 in n 3.083 * [backup-simplify]: Simplify 2 into 2 3.083 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.083 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.083 * [taylor]: Taking taylor expansion of n in n 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [backup-simplify]: Simplify (* 1 1) into 1 3.083 * [backup-simplify]: Simplify (/ 1 1) into 1 3.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.086 * [backup-simplify]: Simplify (- 0) into 0 3.086 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify (- 0) into 0 3.088 * [backup-simplify]: Simplify (+ 0 0) into 0 3.088 * [backup-simplify]: Simplify (+ 0 0) into 0 3.088 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 3.088 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.089 * [taylor]: Taking taylor expansion of 2 in n 3.089 * [backup-simplify]: Simplify 2 into 2 3.089 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.089 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.089 * [taylor]: Taking taylor expansion of n in n 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 1 into 1 3.089 * [backup-simplify]: Simplify (* 1 1) into 1 3.089 * [backup-simplify]: Simplify (* 1 1) into 1 3.089 * [backup-simplify]: Simplify (/ 1 1) into 1 3.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.095 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify -1 into -1 3.095 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 3.095 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 3.095 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 3.095 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.095 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.095 * [taylor]: Taking taylor expansion of f in n 3.095 * [backup-simplify]: Simplify f into f 3.095 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.095 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.095 * [taylor]: Taking taylor expansion of n in n 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify (/ 1 1) into 1 3.095 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.095 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.095 * [taylor]: Taking taylor expansion of f in n 3.095 * [backup-simplify]: Simplify f into f 3.095 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.095 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.095 * [taylor]: Taking taylor expansion of n in n 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 1 into 1 3.096 * [backup-simplify]: Simplify (/ 1 1) into 1 3.096 * [backup-simplify]: Simplify (- 1) into -1 3.096 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.097 * [backup-simplify]: Simplify (+ 0 1) into 1 3.097 * [backup-simplify]: Simplify (/ -1 1) into -1 3.097 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.097 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.097 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.097 * [taylor]: Taking taylor expansion of f in f 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 1 into 1 3.097 * [backup-simplify]: Simplify (/ 1 1) into 1 3.097 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.097 * [taylor]: Taking taylor expansion of n in f 3.097 * [backup-simplify]: Simplify n into n 3.097 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.097 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.097 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.097 * [taylor]: Taking taylor expansion of f in f 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 1 into 1 3.098 * [backup-simplify]: Simplify (/ 1 1) into 1 3.098 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.098 * [taylor]: Taking taylor expansion of n in f 3.098 * [backup-simplify]: Simplify n into n 3.098 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.098 * [backup-simplify]: Simplify (+ 1 0) into 1 3.098 * [backup-simplify]: Simplify (+ 1 0) into 1 3.099 * [backup-simplify]: Simplify (/ 1 1) into 1 3.099 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.099 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.099 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.099 * [taylor]: Taking taylor expansion of f in f 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify 1 into 1 3.099 * [backup-simplify]: Simplify (/ 1 1) into 1 3.099 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.099 * [taylor]: Taking taylor expansion of n in f 3.099 * [backup-simplify]: Simplify n into n 3.099 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.099 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.099 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.099 * [taylor]: Taking taylor expansion of f in f 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify 1 into 1 3.099 * [backup-simplify]: Simplify (/ 1 1) into 1 3.099 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.099 * [taylor]: Taking taylor expansion of n in f 3.099 * [backup-simplify]: Simplify n into n 3.099 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.100 * [backup-simplify]: Simplify (+ 1 0) into 1 3.100 * [backup-simplify]: Simplify (+ 1 0) into 1 3.100 * [backup-simplify]: Simplify (/ 1 1) into 1 3.100 * [taylor]: Taking taylor expansion of 1 in n 3.100 * [backup-simplify]: Simplify 1 into 1 3.100 * [backup-simplify]: Simplify 1 into 1 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.101 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.101 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.102 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.102 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 3.102 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.102 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.102 * [taylor]: Taking taylor expansion of 2 in n 3.102 * [backup-simplify]: Simplify 2 into 2 3.102 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.102 * [taylor]: Taking taylor expansion of n in n 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 1 into 1 3.102 * [backup-simplify]: Simplify (/ 1 1) into 1 3.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.104 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.104 * [backup-simplify]: Simplify (- 0) into 0 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.106 * [backup-simplify]: Simplify (- 0) into 0 3.107 * [backup-simplify]: Simplify (+ 0 0) into 0 3.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.108 * [backup-simplify]: Simplify (+ 0 0) into 0 3.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 3.109 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.109 * [taylor]: Taking taylor expansion of 2 in n 3.109 * [backup-simplify]: Simplify 2 into 2 3.109 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.109 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.109 * [taylor]: Taking taylor expansion of n in n 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 1 into 1 3.110 * [backup-simplify]: Simplify (* 1 1) into 1 3.110 * [backup-simplify]: Simplify (/ 1 1) into 1 3.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.119 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.119 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.122 * [backup-simplify]: Simplify (- 0) into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.123 * [backup-simplify]: Simplify (- 0) into 0 3.124 * [backup-simplify]: Simplify (+ 0 0) into 0 3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.126 * [backup-simplify]: Simplify (+ 0 0) into 0 3.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.128 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.128 * [taylor]: Taking taylor expansion of 2 in n 3.128 * [backup-simplify]: Simplify 2 into 2 3.128 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.128 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.128 * [taylor]: Taking taylor expansion of n in n 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [backup-simplify]: Simplify (* 1 1) into 1 3.129 * [backup-simplify]: Simplify (* 1 1) into 1 3.129 * [backup-simplify]: Simplify (/ 1 1) into 1 3.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.139 * [backup-simplify]: Simplify (- 0) into 0 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 1 into 1 3.139 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 3.139 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 3.139 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 3.139 * [taylor]: Taking taylor expansion of -1 in n 3.139 * [backup-simplify]: Simplify -1 into -1 3.139 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 3.139 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.139 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.139 * [taylor]: Taking taylor expansion of n in n 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 1 into 1 3.140 * [backup-simplify]: Simplify (/ 1 1) into 1 3.140 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.140 * [taylor]: Taking taylor expansion of f in n 3.140 * [backup-simplify]: Simplify f into f 3.140 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.140 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.140 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.140 * [taylor]: Taking taylor expansion of f in n 3.140 * [backup-simplify]: Simplify f into f 3.140 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.140 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.140 * [taylor]: Taking taylor expansion of n in n 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.141 * [backup-simplify]: Simplify (/ 1 1) into 1 3.141 * [backup-simplify]: Simplify (+ 1 0) into 1 3.142 * [backup-simplify]: Simplify (+ 0 1) into 1 3.142 * [backup-simplify]: Simplify (/ 1 1) into 1 3.142 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.142 * [taylor]: Taking taylor expansion of -1 in f 3.142 * [backup-simplify]: Simplify -1 into -1 3.142 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.142 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.142 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.142 * [taylor]: Taking taylor expansion of n in f 3.142 * [backup-simplify]: Simplify n into n 3.142 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.142 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.142 * [taylor]: Taking taylor expansion of f in f 3.142 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify 1 into 1 3.143 * [backup-simplify]: Simplify (/ 1 1) into 1 3.143 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.143 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.143 * [taylor]: Taking taylor expansion of f in f 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [backup-simplify]: Simplify (/ 1 1) into 1 3.143 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.143 * [taylor]: Taking taylor expansion of n in f 3.143 * [backup-simplify]: Simplify n into n 3.144 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.144 * [backup-simplify]: Simplify (- 1) into -1 3.144 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.145 * [backup-simplify]: Simplify (+ 1 0) into 1 3.145 * [backup-simplify]: Simplify (/ -1 1) into -1 3.145 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.145 * [taylor]: Taking taylor expansion of -1 in f 3.146 * [backup-simplify]: Simplify -1 into -1 3.146 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.146 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.146 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.146 * [taylor]: Taking taylor expansion of n in f 3.146 * [backup-simplify]: Simplify n into n 3.146 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.146 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.146 * [taylor]: Taking taylor expansion of f in f 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.146 * [backup-simplify]: Simplify (/ 1 1) into 1 3.146 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.146 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.146 * [taylor]: Taking taylor expansion of f in f 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.147 * [backup-simplify]: Simplify (/ 1 1) into 1 3.147 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.147 * [taylor]: Taking taylor expansion of n in f 3.147 * [backup-simplify]: Simplify n into n 3.147 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.147 * [backup-simplify]: Simplify (- 1) into -1 3.148 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.148 * [backup-simplify]: Simplify (+ 1 0) into 1 3.149 * [backup-simplify]: Simplify (/ -1 1) into -1 3.149 * [backup-simplify]: Simplify (* -1 -1) into 1 3.149 * [taylor]: Taking taylor expansion of 1 in n 3.149 * [backup-simplify]: Simplify 1 into 1 3.149 * [backup-simplify]: Simplify 1 into 1 3.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (- 0) into 0 3.151 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.151 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.152 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 3.152 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 3.152 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.152 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.152 * [taylor]: Taking taylor expansion of 2 in n 3.152 * [backup-simplify]: Simplify 2 into 2 3.152 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.152 * [taylor]: Taking taylor expansion of n in n 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (/ 1 1) into 1 3.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.154 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.155 * [backup-simplify]: Simplify (- 0) into 0 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.157 * [backup-simplify]: Simplify (- 0) into 0 3.157 * [backup-simplify]: Simplify (+ 0 0) into 0 3.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.158 * [backup-simplify]: Simplify (+ 0 0) into 0 3.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.161 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.161 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.161 * [taylor]: Taking taylor expansion of 2 in n 3.161 * [backup-simplify]: Simplify 2 into 2 3.161 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.161 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.161 * [taylor]: Taking taylor expansion of n in n 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 1 into 1 3.161 * [backup-simplify]: Simplify (* 1 1) into 1 3.162 * [backup-simplify]: Simplify (/ 1 1) into 1 3.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.166 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.166 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.168 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.168 * [backup-simplify]: Simplify (- 0) into 0 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.170 * [backup-simplify]: Simplify (- 0) into 0 3.170 * [backup-simplify]: Simplify (+ 0 0) into 0 3.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.172 * [backup-simplify]: Simplify (+ 0 0) into 0 3.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 3.175 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.175 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.175 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.175 * [taylor]: Taking taylor expansion of 2 in n 3.175 * [backup-simplify]: Simplify 2 into 2 3.175 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.175 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.175 * [taylor]: Taking taylor expansion of n in n 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify 1 into 1 3.175 * [backup-simplify]: Simplify (* 1 1) into 1 3.176 * [backup-simplify]: Simplify (* 1 1) into 1 3.176 * [backup-simplify]: Simplify (/ 1 1) into 1 3.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.185 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.186 * [backup-simplify]: Simplify (- 0) into 0 3.186 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify 1 into 1 3.186 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.186 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 3.186 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.186 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.186 * [taylor]: Taking taylor expansion of -1 in n 3.186 * [backup-simplify]: Simplify -1 into -1 3.186 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.186 * [taylor]: Taking taylor expansion of (+ n f) in n 3.186 * [taylor]: Taking taylor expansion of n in n 3.186 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify 1 into 1 3.186 * [taylor]: Taking taylor expansion of f in n 3.186 * [backup-simplify]: Simplify f into f 3.186 * [taylor]: Taking taylor expansion of (- f n) in n 3.186 * [taylor]: Taking taylor expansion of f in n 3.186 * [backup-simplify]: Simplify f into f 3.186 * [taylor]: Taking taylor expansion of n in n 3.186 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify 1 into 1 3.187 * [backup-simplify]: Simplify (+ 0 f) into f 3.187 * [backup-simplify]: Simplify (- 0) into 0 3.187 * [backup-simplify]: Simplify (+ f 0) into f 3.187 * [backup-simplify]: Simplify (/ f f) into 1 3.187 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.187 * [taylor]: Taking taylor expansion of -1 in f 3.187 * [backup-simplify]: Simplify -1 into -1 3.187 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.187 * [taylor]: Taking taylor expansion of (+ n f) in f 3.187 * [taylor]: Taking taylor expansion of n in f 3.187 * [backup-simplify]: Simplify n into n 3.187 * [taylor]: Taking taylor expansion of f in f 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify 1 into 1 3.187 * [taylor]: Taking taylor expansion of (- f n) in f 3.187 * [taylor]: Taking taylor expansion of f in f 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify 1 into 1 3.187 * [taylor]: Taking taylor expansion of n in f 3.187 * [backup-simplify]: Simplify n into n 3.187 * [backup-simplify]: Simplify (+ n 0) into n 3.187 * [backup-simplify]: Simplify (- n) into (- n) 3.188 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.188 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.188 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.188 * [taylor]: Taking taylor expansion of -1 in f 3.188 * [backup-simplify]: Simplify -1 into -1 3.188 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.188 * [taylor]: Taking taylor expansion of (+ n f) in f 3.188 * [taylor]: Taking taylor expansion of n in f 3.188 * [backup-simplify]: Simplify n into n 3.188 * [taylor]: Taking taylor expansion of f in f 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify 1 into 1 3.188 * [taylor]: Taking taylor expansion of (- f n) in f 3.188 * [taylor]: Taking taylor expansion of f in f 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify 1 into 1 3.188 * [taylor]: Taking taylor expansion of n in f 3.188 * [backup-simplify]: Simplify n into n 3.188 * [backup-simplify]: Simplify (+ n 0) into n 3.188 * [backup-simplify]: Simplify (- n) into (- n) 3.188 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.188 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.189 * [backup-simplify]: Simplify (* -1 -1) into 1 3.189 * [taylor]: Taking taylor expansion of 1 in n 3.189 * [backup-simplify]: Simplify 1 into 1 3.189 * [backup-simplify]: Simplify 1 into 1 3.189 * [backup-simplify]: Simplify (+ 0 1) into 1 3.190 * [backup-simplify]: Simplify (- 0) into 0 3.190 * [backup-simplify]: Simplify (+ 1 0) into 1 3.190 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.191 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.191 * [taylor]: Taking taylor expansion of 2 in n 3.191 * [backup-simplify]: Simplify 2 into 2 3.191 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.191 * [taylor]: Taking taylor expansion of n in n 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.191 * [backup-simplify]: Simplify (/ 1 1) into 1 3.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.193 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify (+ 0 0) into 0 3.194 * [backup-simplify]: Simplify (- 0) into 0 3.194 * [backup-simplify]: Simplify (+ 0 0) into 0 3.195 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.195 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.195 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.196 * [taylor]: Taking taylor expansion of 2 in n 3.196 * [backup-simplify]: Simplify 2 into 2 3.196 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.196 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.196 * [taylor]: Taking taylor expansion of n in n 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 1 into 1 3.196 * [backup-simplify]: Simplify (* 1 1) into 1 3.196 * [backup-simplify]: Simplify (/ 1 1) into 1 3.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.201 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.201 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.203 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.203 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify (+ 0 0) into 0 3.204 * [backup-simplify]: Simplify (- 0) into 0 3.204 * [backup-simplify]: Simplify (+ 0 0) into 0 3.205 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 3.206 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 3.206 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.206 * [taylor]: Taking taylor expansion of 2 in n 3.206 * [backup-simplify]: Simplify 2 into 2 3.206 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.206 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.206 * [taylor]: Taking taylor expansion of n in n 3.206 * [backup-simplify]: Simplify 0 into 0 3.206 * [backup-simplify]: Simplify 1 into 1 3.206 * [backup-simplify]: Simplify (* 1 1) into 1 3.206 * [backup-simplify]: Simplify (* 1 1) into 1 3.206 * [backup-simplify]: Simplify (/ 1 1) into 1 3.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.212 * [backup-simplify]: Simplify 0 into 0 3.212 * [backup-simplify]: Simplify 1 into 1 3.212 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.212 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.212 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.212 * [taylor]: Taking taylor expansion of -1 in n 3.212 * [backup-simplify]: Simplify -1 into -1 3.212 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.212 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.212 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.212 * [taylor]: Taking taylor expansion of f in n 3.212 * [backup-simplify]: Simplify f into f 3.212 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.212 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.212 * [taylor]: Taking taylor expansion of n in n 3.212 * [backup-simplify]: Simplify 0 into 0 3.212 * [backup-simplify]: Simplify 1 into 1 3.212 * [backup-simplify]: Simplify (/ 1 1) into 1 3.212 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.212 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.212 * [taylor]: Taking taylor expansion of f in n 3.213 * [backup-simplify]: Simplify f into f 3.213 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.213 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.213 * [taylor]: Taking taylor expansion of n in n 3.213 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify 1 into 1 3.213 * [backup-simplify]: Simplify (/ 1 1) into 1 3.213 * [backup-simplify]: Simplify (+ 0 1) into 1 3.213 * [backup-simplify]: Simplify (- 1) into -1 3.214 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.214 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.214 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.214 * [taylor]: Taking taylor expansion of -1 in f 3.214 * [backup-simplify]: Simplify -1 into -1 3.214 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.214 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.214 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.214 * [taylor]: Taking taylor expansion of f in f 3.214 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify 1 into 1 3.214 * [backup-simplify]: Simplify (/ 1 1) into 1 3.214 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.214 * [taylor]: Taking taylor expansion of n in f 3.214 * [backup-simplify]: Simplify n into n 3.214 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.214 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.214 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.214 * [taylor]: Taking taylor expansion of f in f 3.214 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify 1 into 1 3.215 * [backup-simplify]: Simplify (/ 1 1) into 1 3.215 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.215 * [taylor]: Taking taylor expansion of n in f 3.215 * [backup-simplify]: Simplify n into n 3.215 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.215 * [backup-simplify]: Simplify (+ 1 0) into 1 3.215 * [backup-simplify]: Simplify (+ 1 0) into 1 3.216 * [backup-simplify]: Simplify (/ 1 1) into 1 3.216 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.216 * [taylor]: Taking taylor expansion of -1 in f 3.216 * [backup-simplify]: Simplify -1 into -1 3.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.216 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.216 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.216 * [taylor]: Taking taylor expansion of f in f 3.216 * [backup-simplify]: Simplify 0 into 0 3.216 * [backup-simplify]: Simplify 1 into 1 3.216 * [backup-simplify]: Simplify (/ 1 1) into 1 3.216 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.216 * [taylor]: Taking taylor expansion of n in f 3.216 * [backup-simplify]: Simplify n into n 3.216 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.216 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.216 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.216 * [taylor]: Taking taylor expansion of f in f 3.216 * [backup-simplify]: Simplify 0 into 0 3.216 * [backup-simplify]: Simplify 1 into 1 3.217 * [backup-simplify]: Simplify (/ 1 1) into 1 3.217 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.217 * [taylor]: Taking taylor expansion of n in f 3.217 * [backup-simplify]: Simplify n into n 3.217 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.217 * [backup-simplify]: Simplify (+ 1 0) into 1 3.217 * [backup-simplify]: Simplify (+ 1 0) into 1 3.218 * [backup-simplify]: Simplify (/ 1 1) into 1 3.218 * [backup-simplify]: Simplify (* -1 1) into -1 3.218 * [taylor]: Taking taylor expansion of -1 in n 3.218 * [backup-simplify]: Simplify -1 into -1 3.218 * [backup-simplify]: Simplify -1 into -1 3.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.218 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.219 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.219 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.219 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.220 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.220 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.220 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.220 * [taylor]: Taking taylor expansion of 2 in n 3.220 * [backup-simplify]: Simplify 2 into 2 3.220 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.220 * [taylor]: Taking taylor expansion of n in n 3.220 * [backup-simplify]: Simplify 0 into 0 3.220 * [backup-simplify]: Simplify 1 into 1 3.220 * [backup-simplify]: Simplify (/ 1 1) into 1 3.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.221 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.221 * [backup-simplify]: Simplify (- 0) into 0 3.221 * [backup-simplify]: Simplify 0 into 0 3.221 * [backup-simplify]: Simplify 0 into 0 3.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.222 * [backup-simplify]: Simplify (+ 0 0) into 0 3.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.223 * [backup-simplify]: Simplify (- 0) into 0 3.223 * [backup-simplify]: Simplify (+ 0 0) into 0 3.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.224 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.224 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.224 * [taylor]: Taking taylor expansion of 2 in n 3.224 * [backup-simplify]: Simplify 2 into 2 3.224 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.224 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.224 * [taylor]: Taking taylor expansion of n in n 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 1 into 1 3.225 * [backup-simplify]: Simplify (* 1 1) into 1 3.225 * [backup-simplify]: Simplify (/ 1 1) into 1 3.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.227 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.228 * [backup-simplify]: Simplify (- 0) into 0 3.228 * [backup-simplify]: Simplify 0 into 0 3.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.229 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.229 * [backup-simplify]: Simplify (- 0) into 0 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.230 * [backup-simplify]: Simplify (+ 0 0) into 0 3.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.231 * [backup-simplify]: Simplify (- 0) into 0 3.231 * [backup-simplify]: Simplify (+ 0 0) into 0 3.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.233 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.233 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.233 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.233 * [taylor]: Taking taylor expansion of 2 in n 3.233 * [backup-simplify]: Simplify 2 into 2 3.233 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.233 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.233 * [taylor]: Taking taylor expansion of n in n 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (* 1 1) into 1 3.234 * [backup-simplify]: Simplify (* 1 1) into 1 3.234 * [backup-simplify]: Simplify (/ 1 1) into 1 3.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.241 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.241 * [backup-simplify]: Simplify (- 0) into 0 3.241 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify -1 into -1 3.242 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.242 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.242 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.242 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.242 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.242 * [taylor]: Taking taylor expansion of f in n 3.242 * [backup-simplify]: Simplify f into f 3.242 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.242 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.242 * [taylor]: Taking taylor expansion of n in n 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [backup-simplify]: Simplify (/ 1 1) into 1 3.242 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.242 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.242 * [taylor]: Taking taylor expansion of n in n 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.243 * [backup-simplify]: Simplify (/ 1 1) into 1 3.243 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.243 * [taylor]: Taking taylor expansion of f in n 3.243 * [backup-simplify]: Simplify f into f 3.243 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.248 * [backup-simplify]: Simplify (+ 0 1) into 1 3.248 * [backup-simplify]: Simplify (+ 1 0) into 1 3.249 * [backup-simplify]: Simplify (/ 1 1) into 1 3.249 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.249 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.249 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.249 * [taylor]: Taking taylor expansion of f in f 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 1 into 1 3.249 * [backup-simplify]: Simplify (/ 1 1) into 1 3.249 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.249 * [taylor]: Taking taylor expansion of n in f 3.249 * [backup-simplify]: Simplify n into n 3.250 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.250 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.250 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.250 * [taylor]: Taking taylor expansion of n in f 3.250 * [backup-simplify]: Simplify n into n 3.250 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.250 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.250 * [taylor]: Taking taylor expansion of f in f 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 1 into 1 3.250 * [backup-simplify]: Simplify (/ 1 1) into 1 3.250 * [backup-simplify]: Simplify (+ 1 0) into 1 3.251 * [backup-simplify]: Simplify (- 1) into -1 3.251 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.251 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.251 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.251 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.251 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.251 * [taylor]: Taking taylor expansion of f in f 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify 1 into 1 3.251 * [backup-simplify]: Simplify (/ 1 1) into 1 3.251 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.251 * [taylor]: Taking taylor expansion of n in f 3.251 * [backup-simplify]: Simplify n into n 3.252 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.252 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.252 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.252 * [taylor]: Taking taylor expansion of n in f 3.252 * [backup-simplify]: Simplify n into n 3.252 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.252 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.252 * [taylor]: Taking taylor expansion of f in f 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 1 into 1 3.252 * [backup-simplify]: Simplify (/ 1 1) into 1 3.252 * [backup-simplify]: Simplify (+ 1 0) into 1 3.252 * [backup-simplify]: Simplify (- 1) into -1 3.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.253 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.253 * [taylor]: Taking taylor expansion of -1 in n 3.253 * [backup-simplify]: Simplify -1 into -1 3.253 * [backup-simplify]: Simplify -1 into -1 3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (- 0) into 0 3.254 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.255 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.255 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.255 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.255 * [taylor]: Taking taylor expansion of 2 in n 3.255 * [backup-simplify]: Simplify 2 into 2 3.255 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.255 * [taylor]: Taking taylor expansion of n in n 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 1 into 1 3.255 * [backup-simplify]: Simplify (/ 1 1) into 1 3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.257 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.257 * [backup-simplify]: Simplify (- 0) into 0 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.258 * [backup-simplify]: Simplify (+ 0 0) into 0 3.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.259 * [backup-simplify]: Simplify (- 0) into 0 3.259 * [backup-simplify]: Simplify (+ 0 0) into 0 3.260 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.260 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.260 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.260 * [taylor]: Taking taylor expansion of 2 in n 3.260 * [backup-simplify]: Simplify 2 into 2 3.260 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.260 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.260 * [taylor]: Taking taylor expansion of n in n 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify 1 into 1 3.260 * [backup-simplify]: Simplify (* 1 1) into 1 3.261 * [backup-simplify]: Simplify (/ 1 1) into 1 3.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.263 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.263 * [backup-simplify]: Simplify (- 0) into 0 3.263 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.264 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.265 * [backup-simplify]: Simplify (- 0) into 0 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.266 * [backup-simplify]: Simplify (+ 0 0) into 0 3.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.267 * [backup-simplify]: Simplify (- 0) into 0 3.267 * [backup-simplify]: Simplify (+ 0 0) into 0 3.268 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.268 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.268 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.268 * [taylor]: Taking taylor expansion of 2 in n 3.268 * [backup-simplify]: Simplify 2 into 2 3.268 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.268 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.268 * [taylor]: Taking taylor expansion of n in n 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 1 into 1 3.269 * [backup-simplify]: Simplify (* 1 1) into 1 3.269 * [backup-simplify]: Simplify (* 1 1) into 1 3.269 * [backup-simplify]: Simplify (/ 1 1) into 1 3.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.275 * [backup-simplify]: Simplify (- 0) into 0 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify -1 into -1 3.275 * * * [progress]: simplifying candidates 3.278 * [simplify]: Simplifying: (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (expm1 (/ -1 (/ (- f n) (+ f n)))) (log1p (/ -1 (/ (- f n) (+ f n)))) (- (log -1) (- (log (- f n)) (log (+ f n)))) (- (log -1) (log (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (exp (/ -1 (/ (- f n) (+ f n)))) (/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* -1 -1) -1) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n)))) (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (- -1) (- (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (/ 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4.484 * * [simplify]: Extracting #1: cost 1216 inf + 43 4.496 * * [simplify]: Extracting #2: cost 1908 inf + 5259 4.516 * * [simplify]: Extracting #3: cost 1907 inf + 34997 4.584 * * [simplify]: Extracting #4: cost 752 inf + 240357 4.691 * * [simplify]: Extracting #5: cost 85 inf + 405135 4.788 * * [simplify]: Extracting #6: cost 3 inf + 424518 4.873 * * [simplify]: Extracting #7: cost 0 inf + 425277 5.011 * [simplify]: Simplified to: (expm1 (/ (- f n) (+ n f))) (log1p (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (exp (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (sqrt (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (- (- f n)) (- (+ f n)) (/ f (+ n f)) (/ n (+ n f)) (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n 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(sqrt f) (sqrt n)))) (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (/ (* (sqrt -1) (+ n f)) (- (sqrt f) (sqrt n))) (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (/ (* (sqrt -1) (+ n f)) (- (sqrt f) (sqrt n))) (* (* (sqrt -1) (cbrt (+ n f))) (cbrt (+ n f))) (* (/ (sqrt -1) (- f n)) (cbrt (+ n f))) (* (sqrt (+ n f)) (sqrt -1)) (/ (* (sqrt (+ n f)) (sqrt -1)) (- f n)) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ n f))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ n f))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ n f))) (/ (sqrt -1) (- f n)) (* (sqrt -1) (+ n f)) (* (fma (* n n) n (* (* f f) f)) (/ (sqrt -1) (- f n))) (/ (sqrt -1) (fma n (- n f) (* f f))) (/ (* (sqrt -1) (* (+ n f) (- f n))) (- 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))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ n f))) (cbrt (- f n))) (* (/ -1 (cbrt (- f n))) (/ -1 (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (* (/ -1 (cbrt (- f n))) (/ -1 (cbrt (- f n)))) (/ (- (+ f n)) (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))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (- (+ f n)) (/ (fma (* n n) n (* (* f f) f)) (- f n)) (/ -1 (fma n (- n f) (* f f))) (/ (* (+ n f) (- f n)) (- f n)) (/ -1 (- f n)) (/ (+ n f) (- f n)) (/ (- f n) (- (+ f n))) (/ -1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (- (sqrt (+ n f))) -1 -1 (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (- (sqrt (+ n f))) -1 -1 -1 (/ -1 (- f n)) (/ (- (fma (* n n) n (* (* f f) f))) (- f n)) (/ (- (* (+ n f) (- f n))) (- f n)) (/ (/ (- f n) (cbrt -1)) (+ n f)) (/ (/ (- f n) (+ n f)) (sqrt -1)) (/ (- f n) (- (+ f n))) (/ -1 (- f n)) -1 1 1 1 -1 -1 5.034 * * * [progress]: adding candidates to table 5.829 * * [progress]: iteration 3 / 4 5.829 * * * [progress]: picking best candidate 5.842 * * * * [pick]: Picked # 5.842 * * * [progress]: localizing error 5.870 * * * [progress]: generating rewritten candidates 5.870 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 5.887 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 6.023 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 6.033 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.205 * * * [progress]: generating series expansions 6.205 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 6.205 * [backup-simplify]: Simplify (/ n (+ f n)) into (/ n (+ n f)) 6.205 * [approximate]: Taking taylor expansion of (/ n (+ n f)) in (n f) around 0 6.205 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 6.205 * [taylor]: Taking taylor expansion of n in f 6.205 * [backup-simplify]: Simplify n into n 6.205 * [taylor]: Taking taylor expansion of (+ n f) in f 6.205 * [taylor]: Taking taylor expansion of n in f 6.205 * [backup-simplify]: Simplify n into n 6.205 * [taylor]: Taking taylor expansion of f in f 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify 1 into 1 6.205 * [backup-simplify]: Simplify (+ n 0) into n 6.205 * [backup-simplify]: Simplify (/ n n) into 1 6.205 * [taylor]: Taking taylor expansion of (/ n (+ n f)) 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 6.205 * [taylor]: Taking taylor expansion of (+ n f) 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 6.205 * [taylor]: Taking taylor expansion of f in n 6.205 * [backup-simplify]: Simplify f into f 6.205 * [backup-simplify]: Simplify (+ 0 f) into f 6.205 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.205 * [taylor]: Taking taylor expansion of (/ n (+ n f)) 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 6.205 * [taylor]: Taking taylor expansion of (+ n f) 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 6.205 * [taylor]: Taking taylor expansion of f in n 6.205 * [backup-simplify]: Simplify f into f 6.206 * [backup-simplify]: Simplify (+ 0 f) into f 6.206 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.206 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.206 * [taylor]: Taking taylor expansion of f in f 6.206 * [backup-simplify]: Simplify 0 into 0 6.206 * [backup-simplify]: Simplify 1 into 1 6.206 * [backup-simplify]: Simplify (/ 1 1) into 1 6.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.207 * [backup-simplify]: Simplify 0 into 0 6.207 * [backup-simplify]: Simplify (+ 1 0) into 1 6.207 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 1 f)))) into (- (/ 1 (pow f 2))) 6.207 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 6.207 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 6.207 * [taylor]: Taking taylor expansion of (pow f 2) in f 6.207 * [taylor]: Taking taylor expansion of f in f 6.207 * [backup-simplify]: Simplify 0 into 0 6.207 * [backup-simplify]: Simplify 1 into 1 6.207 * [backup-simplify]: Simplify (* 1 1) into 1 6.208 * [backup-simplify]: Simplify (/ 1 1) into 1 6.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.210 * [backup-simplify]: Simplify (- 0) into 0 6.211 * [backup-simplify]: Simplify 0 into 0 6.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.211 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify (+ 0 0) into 0 6.212 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (- (/ 1 (pow f 2))) (/ 1 f)))) into (/ 1 (pow f 3)) 6.212 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 6.212 * [taylor]: Taking taylor expansion of (pow f 3) in f 6.212 * [taylor]: Taking taylor expansion of f in f 6.212 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify 1 into 1 6.213 * [backup-simplify]: Simplify (* 1 1) into 1 6.213 * [backup-simplify]: Simplify (* 1 1) into 1 6.214 * [backup-simplify]: Simplify (/ 1 1) into 1 6.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.221 * [backup-simplify]: Simplify 0 into 0 6.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.224 * [backup-simplify]: Simplify (- 0) into 0 6.224 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 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 n) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 6.225 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 6.225 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.225 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.225 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.225 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.225 * [taylor]: Taking taylor expansion of f in f 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify 1 into 1 6.226 * [backup-simplify]: Simplify (/ 1 1) into 1 6.226 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.226 * [taylor]: Taking taylor expansion of n in f 6.226 * [backup-simplify]: Simplify n into n 6.226 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.226 * [taylor]: Taking taylor expansion of n in f 6.226 * [backup-simplify]: Simplify n into n 6.226 * [backup-simplify]: Simplify (+ 1 0) into 1 6.226 * [backup-simplify]: Simplify (* 1 n) into n 6.226 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.226 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 6.226 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 6.226 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.226 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.226 * [taylor]: Taking taylor expansion of f in n 6.226 * [backup-simplify]: Simplify f into f 6.226 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.226 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.226 * [taylor]: Taking taylor expansion of n in n 6.226 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify 1 into 1 6.227 * [backup-simplify]: Simplify (/ 1 1) into 1 6.227 * [taylor]: Taking taylor expansion of n in n 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify 1 into 1 6.227 * [backup-simplify]: Simplify (+ 0 1) into 1 6.227 * [backup-simplify]: Simplify (* 1 0) into 0 6.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.228 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.228 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 6.228 * [backup-simplify]: Simplify (/ 1 1) into 1 6.228 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 6.228 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 6.228 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.228 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.228 * [taylor]: Taking taylor expansion of f in n 6.228 * [backup-simplify]: Simplify f into f 6.228 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.228 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.228 * [taylor]: Taking taylor expansion of n in n 6.228 * [backup-simplify]: Simplify 0 into 0 6.228 * [backup-simplify]: Simplify 1 into 1 6.229 * [backup-simplify]: Simplify (/ 1 1) into 1 6.229 * [taylor]: Taking taylor expansion of n in n 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify 1 into 1 6.229 * [backup-simplify]: Simplify (+ 0 1) into 1 6.229 * [backup-simplify]: Simplify (* 1 0) into 0 6.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.230 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.230 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 6.230 * [backup-simplify]: Simplify (/ 1 1) into 1 6.230 * [taylor]: Taking taylor expansion of 1 in f 6.230 * [backup-simplify]: Simplify 1 into 1 6.230 * [backup-simplify]: Simplify 0 into 0 6.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 6.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.231 * [backup-simplify]: Simplify (+ 0 0) into 0 6.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 6.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 6.232 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 6.232 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.232 * [taylor]: Taking taylor expansion of f in f 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 1 into 1 6.232 * [backup-simplify]: Simplify (/ 1 1) into 1 6.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.233 * [backup-simplify]: Simplify (- 0) into 0 6.233 * [backup-simplify]: Simplify 0 into 0 6.233 * [backup-simplify]: Simplify 0 into 0 6.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 6.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.234 * [backup-simplify]: Simplify (+ 0 0) into 0 6.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 6.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 6.236 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 6.236 * [taylor]: Taking taylor expansion of (pow f 2) in f 6.236 * [taylor]: Taking taylor expansion of f in f 6.236 * [backup-simplify]: Simplify 0 into 0 6.236 * [backup-simplify]: Simplify 1 into 1 6.236 * [backup-simplify]: Simplify (* 1 1) into 1 6.236 * [backup-simplify]: Simplify (/ 1 1) into 1 6.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.239 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.240 * [backup-simplify]: Simplify (- 0) into 0 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 6.240 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 6.240 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.240 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.240 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.240 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.240 * [taylor]: Taking taylor expansion of f in f 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify 1 into 1 6.241 * [backup-simplify]: Simplify (/ 1 1) into 1 6.241 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.241 * [taylor]: Taking taylor expansion of n in f 6.241 * [backup-simplify]: Simplify n into n 6.241 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.241 * [taylor]: Taking taylor expansion of n in f 6.241 * [backup-simplify]: Simplify n into n 6.241 * [backup-simplify]: Simplify (+ 1 0) into 1 6.241 * [backup-simplify]: Simplify (* 1 n) into n 6.241 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.241 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 6.241 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 6.241 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.241 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.241 * [taylor]: Taking taylor expansion of f in n 6.241 * [backup-simplify]: Simplify f into f 6.241 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.241 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.241 * [taylor]: Taking taylor expansion of n in n 6.241 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify 1 into 1 6.242 * [backup-simplify]: Simplify (/ 1 1) into 1 6.242 * [taylor]: Taking taylor expansion of n in n 6.242 * [backup-simplify]: Simplify 0 into 0 6.242 * [backup-simplify]: Simplify 1 into 1 6.242 * [backup-simplify]: Simplify (+ 0 1) into 1 6.242 * [backup-simplify]: Simplify (* 1 0) into 0 6.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.243 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.243 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 6.243 * [backup-simplify]: Simplify (/ 1 1) into 1 6.243 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 6.243 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 6.243 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.243 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.243 * [taylor]: Taking taylor expansion of f in n 6.243 * [backup-simplify]: Simplify f into f 6.243 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.243 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.243 * [taylor]: Taking taylor expansion of n in n 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify 1 into 1 6.244 * [backup-simplify]: Simplify (/ 1 1) into 1 6.244 * [taylor]: Taking taylor expansion of n in n 6.244 * [backup-simplify]: Simplify 0 into 0 6.244 * [backup-simplify]: Simplify 1 into 1 6.244 * [backup-simplify]: Simplify (+ 0 1) into 1 6.244 * [backup-simplify]: Simplify (* 1 0) into 0 6.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.245 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.245 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 6.245 * [backup-simplify]: Simplify (/ 1 1) into 1 6.246 * [taylor]: Taking taylor expansion of 1 in f 6.246 * [backup-simplify]: Simplify 1 into 1 6.246 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 6.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.246 * [backup-simplify]: Simplify (+ 0 0) into 0 6.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 6.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 6.247 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 6.247 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.247 * [taylor]: Taking taylor expansion of f in f 6.247 * [backup-simplify]: Simplify 0 into 0 6.247 * [backup-simplify]: Simplify 1 into 1 6.247 * [backup-simplify]: Simplify (/ 1 1) into 1 6.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.249 * [backup-simplify]: Simplify (- 0) into 0 6.249 * [backup-simplify]: Simplify 0 into 0 6.249 * [backup-simplify]: Simplify 0 into 0 6.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 6.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.250 * [backup-simplify]: Simplify (+ 0 0) into 0 6.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 6.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 6.252 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 6.252 * [taylor]: Taking taylor expansion of (pow f 2) in f 6.252 * [taylor]: Taking taylor expansion of f in f 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify (* 1 1) into 1 6.253 * [backup-simplify]: Simplify (/ 1 1) into 1 6.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.258 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.259 * [backup-simplify]: Simplify (- 0) into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 6.259 * [backup-simplify]: Simplify (- (/ f (+ f n)) (/ n (+ f n))) into (- (/ f (+ n f)) (/ n (+ n f))) 6.259 * [approximate]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 6.259 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 6.260 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 6.260 * [taylor]: Taking taylor expansion of f in n 6.260 * [backup-simplify]: Simplify f into f 6.260 * [taylor]: Taking taylor expansion of (+ n f) in n 6.260 * [taylor]: Taking taylor expansion of n in n 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 1 into 1 6.260 * [taylor]: Taking taylor expansion of f in n 6.260 * [backup-simplify]: Simplify f into f 6.260 * [backup-simplify]: Simplify (+ 0 f) into f 6.260 * [backup-simplify]: Simplify (/ f f) into 1 6.260 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 6.260 * [taylor]: Taking taylor expansion of n in n 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 1 into 1 6.260 * [taylor]: Taking taylor expansion of (+ n f) in n 6.260 * [taylor]: Taking taylor expansion of n in n 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 1 into 1 6.260 * [taylor]: Taking taylor expansion of f in n 6.260 * [backup-simplify]: Simplify f into f 6.260 * [backup-simplify]: Simplify (+ 0 f) into f 6.260 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.260 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 6.260 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 6.260 * [taylor]: Taking taylor expansion of f in f 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 1 into 1 6.260 * [taylor]: Taking taylor expansion of (+ n f) in f 6.260 * [taylor]: Taking taylor expansion of n in f 6.260 * [backup-simplify]: Simplify n into n 6.260 * [taylor]: Taking taylor expansion of f in f 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 1 into 1 6.261 * [backup-simplify]: Simplify (+ n 0) into n 6.261 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.261 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 6.261 * [taylor]: Taking taylor expansion of n in f 6.261 * [backup-simplify]: Simplify n into n 6.261 * [taylor]: Taking taylor expansion of (+ n f) in f 6.261 * [taylor]: Taking taylor expansion of n in f 6.261 * [backup-simplify]: Simplify n into n 6.261 * [taylor]: Taking taylor expansion of f in f 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 1 into 1 6.261 * [backup-simplify]: Simplify (+ n 0) into n 6.261 * [backup-simplify]: Simplify (/ n n) into 1 6.261 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 6.261 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 6.261 * [taylor]: Taking taylor expansion of f in f 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 1 into 1 6.261 * [taylor]: Taking taylor expansion of (+ n f) in f 6.261 * [taylor]: Taking taylor expansion of n in f 6.261 * [backup-simplify]: Simplify n into n 6.261 * [taylor]: Taking taylor expansion of f in f 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 1 into 1 6.261 * [backup-simplify]: Simplify (+ n 0) into n 6.261 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.261 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 6.261 * [taylor]: Taking taylor expansion of n in f 6.261 * [backup-simplify]: Simplify n into n 6.261 * [taylor]: Taking taylor expansion of (+ n f) in f 6.261 * [taylor]: Taking taylor expansion of n in f 6.261 * [backup-simplify]: Simplify n into n 6.261 * [taylor]: Taking taylor expansion of f in f 6.262 * [backup-simplify]: Simplify 0 into 0 6.262 * [backup-simplify]: Simplify 1 into 1 6.262 * [backup-simplify]: Simplify (+ n 0) into n 6.262 * [backup-simplify]: Simplify (/ n n) into 1 6.262 * [backup-simplify]: Simplify (- 1) into -1 6.263 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.263 * [taylor]: Taking taylor expansion of -1 in n 6.263 * [backup-simplify]: Simplify -1 into -1 6.263 * [backup-simplify]: Simplify -1 into -1 6.263 * [backup-simplify]: Simplify (+ 0 1) into 1 6.263 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 6.263 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 6.263 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 6.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.264 * [taylor]: Taking taylor expansion of 2 in n 6.264 * [backup-simplify]: Simplify 2 into 2 6.264 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.264 * [taylor]: Taking taylor expansion of n in n 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify 1 into 1 6.264 * [backup-simplify]: Simplify (/ 1 1) into 1 6.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.266 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify (+ 0 1) into 1 6.266 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 6.267 * [backup-simplify]: Simplify (+ 0 0) into 0 6.267 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 6.267 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 6.267 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 6.267 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.268 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.268 * [taylor]: Taking taylor expansion of 2 in n 6.268 * [backup-simplify]: Simplify 2 into 2 6.268 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.268 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.268 * [taylor]: Taking taylor expansion of n in n 6.268 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify 1 into 1 6.268 * [backup-simplify]: Simplify (* 1 1) into 1 6.268 * [backup-simplify]: Simplify (/ 1 1) into 1 6.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.273 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.273 * [backup-simplify]: Simplify (- 0) into 0 6.273 * [backup-simplify]: Simplify 0 into 0 6.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.275 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify (+ 0 0) into 0 6.276 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 6.276 * [backup-simplify]: Simplify (+ 0 0) into 0 6.277 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 6.277 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 6.277 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 6.277 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.277 * [taylor]: Taking taylor expansion of 2 in n 6.277 * [backup-simplify]: Simplify 2 into 2 6.277 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.277 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.277 * [taylor]: Taking taylor expansion of n in n 6.277 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify 1 into 1 6.278 * [backup-simplify]: Simplify (* 1 1) into 1 6.278 * [backup-simplify]: Simplify (* 1 1) into 1 6.279 * [backup-simplify]: Simplify (/ 1 1) into 1 6.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.287 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.287 * [backup-simplify]: Simplify 0 into 0 6.287 * [backup-simplify]: Simplify -1 into -1 6.288 * [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))) 6.288 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 6.288 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 6.288 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 6.288 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 6.288 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.288 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.288 * [taylor]: Taking taylor expansion of f in n 6.288 * [backup-simplify]: Simplify f into f 6.288 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.288 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.288 * [taylor]: Taking taylor expansion of n in n 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify 1 into 1 6.289 * [backup-simplify]: Simplify (/ 1 1) into 1 6.289 * [taylor]: Taking taylor expansion of f in n 6.289 * [backup-simplify]: Simplify f into f 6.289 * [backup-simplify]: Simplify (+ 0 1) into 1 6.289 * [backup-simplify]: Simplify (* 1 f) into f 6.289 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.289 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 6.289 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 6.290 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.290 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.290 * [taylor]: Taking taylor expansion of f in n 6.290 * [backup-simplify]: Simplify f into f 6.290 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.290 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.290 * [taylor]: Taking taylor expansion of n in n 6.290 * [backup-simplify]: Simplify 0 into 0 6.290 * [backup-simplify]: Simplify 1 into 1 6.290 * [backup-simplify]: Simplify (/ 1 1) into 1 6.290 * [taylor]: Taking taylor expansion of n in n 6.290 * [backup-simplify]: Simplify 0 into 0 6.290 * [backup-simplify]: Simplify 1 into 1 6.291 * [backup-simplify]: Simplify (+ 0 1) into 1 6.291 * [backup-simplify]: Simplify (* 1 0) into 0 6.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.298 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.299 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 6.300 * [backup-simplify]: Simplify (/ 1 1) into 1 6.300 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 6.300 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.300 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.300 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.300 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.300 * [taylor]: Taking taylor expansion of f in f 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify 1 into 1 6.300 * [backup-simplify]: Simplify (/ 1 1) into 1 6.300 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.300 * [taylor]: Taking taylor expansion of n in f 6.300 * [backup-simplify]: Simplify n into n 6.300 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.300 * [taylor]: Taking taylor expansion of f in f 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify 1 into 1 6.301 * [backup-simplify]: Simplify (+ 1 0) into 1 6.301 * [backup-simplify]: Simplify (* 1 0) into 0 6.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.302 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.303 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.303 * [backup-simplify]: Simplify (/ 1 1) into 1 6.303 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.303 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.303 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.303 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.303 * [taylor]: Taking taylor expansion of f in f 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 1 into 1 6.304 * [backup-simplify]: Simplify (/ 1 1) into 1 6.304 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.304 * [taylor]: Taking taylor expansion of n in f 6.304 * [backup-simplify]: Simplify n into n 6.304 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.304 * [taylor]: Taking taylor expansion of n in f 6.304 * [backup-simplify]: Simplify n into n 6.304 * [backup-simplify]: Simplify (+ 1 0) into 1 6.304 * [backup-simplify]: Simplify (* 1 n) into n 6.304 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.304 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 6.304 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.304 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.304 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.305 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.305 * [taylor]: Taking taylor expansion of f in f 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 1 into 1 6.305 * [backup-simplify]: Simplify (/ 1 1) into 1 6.305 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.305 * [taylor]: Taking taylor expansion of n in f 6.305 * [backup-simplify]: Simplify n into n 6.305 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.305 * [taylor]: Taking taylor expansion of f in f 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 1 into 1 6.306 * [backup-simplify]: Simplify (+ 1 0) into 1 6.306 * [backup-simplify]: Simplify (* 1 0) into 0 6.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.307 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.307 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.308 * [backup-simplify]: Simplify (/ 1 1) into 1 6.308 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.308 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.308 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.308 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.308 * [taylor]: Taking taylor expansion of f in f 6.308 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify 1 into 1 6.308 * [backup-simplify]: Simplify (/ 1 1) into 1 6.308 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.308 * [taylor]: Taking taylor expansion of n in f 6.308 * [backup-simplify]: Simplify n into n 6.308 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.308 * [taylor]: Taking taylor expansion of n in f 6.308 * [backup-simplify]: Simplify n into n 6.309 * [backup-simplify]: Simplify (+ 1 0) into 1 6.309 * [backup-simplify]: Simplify (* 1 n) into n 6.309 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.310 * [backup-simplify]: Simplify (+ 1 0) into 1 6.310 * [taylor]: Taking taylor expansion of 1 in n 6.310 * [backup-simplify]: Simplify 1 into 1 6.310 * [backup-simplify]: Simplify 1 into 1 6.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.311 * [backup-simplify]: Simplify (+ 0 0) into 0 6.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 6.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 6.312 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.312 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 6.312 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.312 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.312 * [taylor]: Taking taylor expansion of 2 in n 6.312 * [backup-simplify]: Simplify 2 into 2 6.312 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.312 * [taylor]: Taking taylor expansion of n in n 6.312 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify 1 into 1 6.313 * [backup-simplify]: Simplify (/ 1 1) into 1 6.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.314 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.315 * [backup-simplify]: Simplify (- 0) into 0 6.315 * [backup-simplify]: Simplify 0 into 0 6.315 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.316 * [backup-simplify]: Simplify (+ 0 0) into 0 6.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 6.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 6.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.319 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.320 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 6.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 6.320 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 6.321 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 6.321 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.321 * [taylor]: Taking taylor expansion of 2 in n 6.321 * [backup-simplify]: Simplify 2 into 2 6.321 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.321 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.321 * [taylor]: Taking taylor expansion of n in n 6.321 * [backup-simplify]: Simplify 0 into 0 6.321 * [backup-simplify]: Simplify 1 into 1 6.321 * [backup-simplify]: Simplify (* 1 1) into 1 6.322 * [backup-simplify]: Simplify (/ 1 1) into 1 6.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.326 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.326 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.328 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.328 * [backup-simplify]: Simplify (- 0) into 0 6.328 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify 0 into 0 6.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.330 * [backup-simplify]: Simplify (+ 0 0) into 0 6.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 6.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.334 * [backup-simplify]: Simplify (+ 0 0) into 0 6.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 6.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 6.336 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 6.336 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 6.336 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.336 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.336 * [taylor]: Taking taylor expansion of 2 in n 6.336 * [backup-simplify]: Simplify 2 into 2 6.336 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.336 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.336 * [taylor]: Taking taylor expansion of n in n 6.336 * [backup-simplify]: Simplify 0 into 0 6.336 * [backup-simplify]: Simplify 1 into 1 6.337 * [backup-simplify]: Simplify (* 1 1) into 1 6.337 * [backup-simplify]: Simplify (* 1 1) into 1 6.337 * [backup-simplify]: Simplify (/ 1 1) into 1 6.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.347 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.347 * [backup-simplify]: Simplify (- 0) into 0 6.347 * [backup-simplify]: Simplify 0 into 0 6.347 * [backup-simplify]: Simplify 1 into 1 6.348 * [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))) 6.348 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 6.348 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 6.348 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 6.348 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 6.348 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.348 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.348 * [taylor]: Taking taylor expansion of f in n 6.348 * [backup-simplify]: Simplify f into f 6.348 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.348 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.348 * [taylor]: Taking taylor expansion of n in n 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 1 into 1 6.349 * [backup-simplify]: Simplify (/ 1 1) into 1 6.349 * [taylor]: Taking taylor expansion of f in n 6.349 * [backup-simplify]: Simplify f into f 6.349 * [backup-simplify]: Simplify (+ 0 1) into 1 6.349 * [backup-simplify]: Simplify (* 1 f) into f 6.349 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.350 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 6.350 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 6.350 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.350 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.350 * [taylor]: Taking taylor expansion of f in n 6.350 * [backup-simplify]: Simplify f into f 6.350 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.350 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.350 * [taylor]: Taking taylor expansion of n in n 6.350 * [backup-simplify]: Simplify 0 into 0 6.350 * [backup-simplify]: Simplify 1 into 1 6.350 * [backup-simplify]: Simplify (/ 1 1) into 1 6.350 * [taylor]: Taking taylor expansion of n in n 6.350 * [backup-simplify]: Simplify 0 into 0 6.350 * [backup-simplify]: Simplify 1 into 1 6.351 * [backup-simplify]: Simplify (+ 0 1) into 1 6.351 * [backup-simplify]: Simplify (* 1 0) into 0 6.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.352 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.353 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 6.353 * [backup-simplify]: Simplify (/ 1 1) into 1 6.353 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 6.353 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.353 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.353 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.353 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.353 * [taylor]: Taking taylor expansion of f in f 6.353 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify 1 into 1 6.354 * [backup-simplify]: Simplify (/ 1 1) into 1 6.354 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.354 * [taylor]: Taking taylor expansion of n in f 6.354 * [backup-simplify]: Simplify n into n 6.354 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.354 * [taylor]: Taking taylor expansion of f in f 6.354 * [backup-simplify]: Simplify 0 into 0 6.354 * [backup-simplify]: Simplify 1 into 1 6.354 * [backup-simplify]: Simplify (+ 1 0) into 1 6.355 * [backup-simplify]: Simplify (* 1 0) into 0 6.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.356 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.356 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.357 * [backup-simplify]: Simplify (/ 1 1) into 1 6.357 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.357 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.357 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.357 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.357 * [taylor]: Taking taylor expansion of f in f 6.357 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify 1 into 1 6.357 * [backup-simplify]: Simplify (/ 1 1) into 1 6.357 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.357 * [taylor]: Taking taylor expansion of n in f 6.357 * [backup-simplify]: Simplify n into n 6.358 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.358 * [taylor]: Taking taylor expansion of n in f 6.358 * [backup-simplify]: Simplify n into n 6.358 * [backup-simplify]: Simplify (+ 1 0) into 1 6.358 * [backup-simplify]: Simplify (* 1 n) into n 6.358 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.358 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 6.358 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.358 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.358 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.358 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.358 * [taylor]: Taking taylor expansion of f in f 6.358 * [backup-simplify]: Simplify 0 into 0 6.358 * [backup-simplify]: Simplify 1 into 1 6.359 * [backup-simplify]: Simplify (/ 1 1) into 1 6.359 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.359 * [taylor]: Taking taylor expansion of n in f 6.359 * [backup-simplify]: Simplify n into n 6.359 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.359 * [taylor]: Taking taylor expansion of f in f 6.359 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify 1 into 1 6.359 * [backup-simplify]: Simplify (+ 1 0) into 1 6.360 * [backup-simplify]: Simplify (* 1 0) into 0 6.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.361 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.361 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.362 * [backup-simplify]: Simplify (/ 1 1) into 1 6.362 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.362 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.362 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.362 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.362 * [taylor]: Taking taylor expansion of f in f 6.362 * [backup-simplify]: Simplify 0 into 0 6.362 * [backup-simplify]: Simplify 1 into 1 6.362 * [backup-simplify]: Simplify (/ 1 1) into 1 6.362 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.362 * [taylor]: Taking taylor expansion of n in f 6.362 * [backup-simplify]: Simplify n into n 6.362 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.362 * [taylor]: Taking taylor expansion of n in f 6.362 * [backup-simplify]: Simplify n into n 6.363 * [backup-simplify]: Simplify (+ 1 0) into 1 6.363 * [backup-simplify]: Simplify (* 1 n) into n 6.363 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.363 * [backup-simplify]: Simplify (+ 1 0) into 1 6.364 * [taylor]: Taking taylor expansion of 1 in n 6.364 * [backup-simplify]: Simplify 1 into 1 6.364 * [backup-simplify]: Simplify 1 into 1 6.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.365 * [backup-simplify]: Simplify (+ 0 0) into 0 6.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 6.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 6.366 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.366 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 6.366 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.366 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.366 * [taylor]: Taking taylor expansion of 2 in n 6.366 * [backup-simplify]: Simplify 2 into 2 6.367 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.367 * [taylor]: Taking taylor expansion of n in n 6.367 * [backup-simplify]: Simplify 0 into 0 6.367 * [backup-simplify]: Simplify 1 into 1 6.367 * [backup-simplify]: Simplify (/ 1 1) into 1 6.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.368 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.369 * [backup-simplify]: Simplify (- 0) into 0 6.369 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify 0 into 0 6.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.371 * [backup-simplify]: Simplify (+ 0 0) into 0 6.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 6.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 6.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.374 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.374 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 6.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 6.374 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 6.375 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 6.375 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.375 * [taylor]: Taking taylor expansion of 2 in n 6.375 * [backup-simplify]: Simplify 2 into 2 6.375 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.375 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.375 * [taylor]: Taking taylor expansion of n in n 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify 1 into 1 6.375 * [backup-simplify]: Simplify (* 1 1) into 1 6.376 * [backup-simplify]: Simplify (/ 1 1) into 1 6.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.380 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.380 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.382 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.382 * [backup-simplify]: Simplify (- 0) into 0 6.383 * [backup-simplify]: Simplify 0 into 0 6.383 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.384 * [backup-simplify]: Simplify (+ 0 0) into 0 6.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 6.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.388 * [backup-simplify]: Simplify (+ 0 0) into 0 6.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 6.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 6.390 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 6.390 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 6.390 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.390 * [taylor]: Taking taylor expansion of 2 in n 6.390 * [backup-simplify]: Simplify 2 into 2 6.390 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.390 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.390 * [taylor]: Taking taylor expansion of n in n 6.390 * [backup-simplify]: Simplify 0 into 0 6.390 * [backup-simplify]: Simplify 1 into 1 6.390 * [backup-simplify]: Simplify (* 1 1) into 1 6.391 * [backup-simplify]: Simplify (* 1 1) into 1 6.391 * [backup-simplify]: Simplify (/ 1 1) into 1 6.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.401 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.401 * [backup-simplify]: Simplify (- 0) into 0 6.401 * [backup-simplify]: Simplify 0 into 0 6.401 * [backup-simplify]: Simplify 1 into 1 6.401 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 6.402 * [backup-simplify]: Simplify (/ f (+ f n)) into (/ f (+ n f)) 6.402 * [approximate]: Taking taylor expansion of (/ f (+ n f)) in (f n) around 0 6.402 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 6.402 * [taylor]: Taking taylor expansion of f in n 6.402 * [backup-simplify]: Simplify f into f 6.402 * [taylor]: Taking taylor expansion of (+ n f) in n 6.402 * [taylor]: Taking taylor expansion of n in n 6.402 * [backup-simplify]: Simplify 0 into 0 6.402 * [backup-simplify]: Simplify 1 into 1 6.402 * [taylor]: Taking taylor expansion of f in n 6.402 * [backup-simplify]: Simplify f into f 6.402 * [backup-simplify]: Simplify (+ 0 f) into f 6.402 * [backup-simplify]: Simplify (/ f f) into 1 6.402 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 6.402 * [taylor]: Taking taylor expansion of f in f 6.402 * [backup-simplify]: Simplify 0 into 0 6.402 * [backup-simplify]: Simplify 1 into 1 6.402 * [taylor]: Taking taylor expansion of (+ n f) in f 6.402 * [taylor]: Taking taylor expansion of n in f 6.402 * [backup-simplify]: Simplify n into n 6.402 * [taylor]: Taking taylor expansion of f in f 6.402 * [backup-simplify]: Simplify 0 into 0 6.402 * [backup-simplify]: Simplify 1 into 1 6.402 * [backup-simplify]: Simplify (+ n 0) into n 6.402 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.402 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 6.402 * [taylor]: Taking taylor expansion of f in f 6.402 * [backup-simplify]: Simplify 0 into 0 6.402 * [backup-simplify]: Simplify 1 into 1 6.402 * [taylor]: Taking taylor expansion of (+ n f) in f 6.403 * [taylor]: Taking taylor expansion of n in f 6.403 * [backup-simplify]: Simplify n into n 6.403 * [taylor]: Taking taylor expansion of f in f 6.403 * [backup-simplify]: Simplify 0 into 0 6.403 * [backup-simplify]: Simplify 1 into 1 6.403 * [backup-simplify]: Simplify (+ n 0) into n 6.403 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.403 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.403 * [taylor]: Taking taylor expansion of n in n 6.403 * [backup-simplify]: Simplify 0 into 0 6.403 * [backup-simplify]: Simplify 1 into 1 6.403 * [backup-simplify]: Simplify (/ 1 1) into 1 6.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.404 * [backup-simplify]: Simplify 0 into 0 6.405 * [backup-simplify]: Simplify (+ 0 1) into 1 6.405 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 6.405 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 6.405 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.405 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.405 * [taylor]: Taking taylor expansion of n in n 6.405 * [backup-simplify]: Simplify 0 into 0 6.405 * [backup-simplify]: Simplify 1 into 1 6.405 * [backup-simplify]: Simplify (* 1 1) into 1 6.406 * [backup-simplify]: Simplify (/ 1 1) into 1 6.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.410 * [backup-simplify]: Simplify (- 0) into 0 6.410 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.411 * [backup-simplify]: Simplify 0 into 0 6.412 * [backup-simplify]: Simplify (+ 0 0) into 0 6.412 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 6.412 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.412 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.412 * [taylor]: Taking taylor expansion of n in n 6.412 * [backup-simplify]: Simplify 0 into 0 6.412 * [backup-simplify]: Simplify 1 into 1 6.413 * [backup-simplify]: Simplify (* 1 1) into 1 6.413 * [backup-simplify]: Simplify (* 1 1) into 1 6.414 * [backup-simplify]: Simplify (/ 1 1) into 1 6.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.418 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.420 * [backup-simplify]: Simplify (- 0) into 0 6.420 * [backup-simplify]: Simplify 0 into 0 6.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.420 * [backup-simplify]: Simplify 0 into 0 6.420 * [backup-simplify]: Simplify 0 into 0 6.420 * [backup-simplify]: Simplify (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 6.420 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 6.420 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 6.421 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 6.421 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.421 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.421 * [taylor]: Taking taylor expansion of f in n 6.421 * [backup-simplify]: Simplify f into f 6.421 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.421 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.421 * [taylor]: Taking taylor expansion of n in n 6.421 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify 1 into 1 6.421 * [backup-simplify]: Simplify (/ 1 1) into 1 6.421 * [taylor]: Taking taylor expansion of f in n 6.421 * [backup-simplify]: Simplify f into f 6.421 * [backup-simplify]: Simplify (+ 0 1) into 1 6.421 * [backup-simplify]: Simplify (* 1 f) into f 6.421 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.421 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.421 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.421 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.421 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.421 * [taylor]: Taking taylor expansion of f in f 6.421 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify 1 into 1 6.422 * [backup-simplify]: Simplify (/ 1 1) into 1 6.422 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.422 * [taylor]: Taking taylor expansion of n in f 6.422 * [backup-simplify]: Simplify n into n 6.422 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.422 * [taylor]: Taking taylor expansion of f in f 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify 1 into 1 6.423 * [backup-simplify]: Simplify (+ 1 0) into 1 6.423 * [backup-simplify]: Simplify (* 1 0) into 0 6.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.423 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.424 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.424 * [backup-simplify]: Simplify (/ 1 1) into 1 6.424 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.424 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.424 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.424 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.424 * [taylor]: Taking taylor expansion of f in f 6.424 * [backup-simplify]: Simplify 0 into 0 6.424 * [backup-simplify]: Simplify 1 into 1 6.424 * [backup-simplify]: Simplify (/ 1 1) into 1 6.424 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.424 * [taylor]: Taking taylor expansion of n in f 6.424 * [backup-simplify]: Simplify n into n 6.424 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.424 * [taylor]: Taking taylor expansion of f in f 6.424 * [backup-simplify]: Simplify 0 into 0 6.424 * [backup-simplify]: Simplify 1 into 1 6.425 * [backup-simplify]: Simplify (+ 1 0) into 1 6.425 * [backup-simplify]: Simplify (* 1 0) into 0 6.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.425 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.426 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.426 * [backup-simplify]: Simplify (/ 1 1) into 1 6.426 * [taylor]: Taking taylor expansion of 1 in n 6.426 * [backup-simplify]: Simplify 1 into 1 6.426 * [backup-simplify]: Simplify 0 into 0 6.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.427 * [backup-simplify]: Simplify (+ 0 0) into 0 6.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 6.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 6.428 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 6.428 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.428 * [taylor]: Taking taylor expansion of n in n 6.428 * [backup-simplify]: Simplify 0 into 0 6.428 * [backup-simplify]: Simplify 1 into 1 6.428 * [backup-simplify]: Simplify (/ 1 1) into 1 6.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.429 * [backup-simplify]: Simplify (- 0) into 0 6.429 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.430 * [backup-simplify]: Simplify (+ 0 0) into 0 6.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 6.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 6.432 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.432 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.432 * [taylor]: Taking taylor expansion of n in n 6.432 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify 1 into 1 6.432 * [backup-simplify]: Simplify (* 1 1) into 1 6.432 * [backup-simplify]: Simplify (/ 1 1) into 1 6.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.439 * [backup-simplify]: Simplify 0 into 0 6.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.440 * [backup-simplify]: Simplify (- 0) into 0 6.440 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 6.440 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 6.440 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 6.440 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 6.440 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.440 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.440 * [taylor]: Taking taylor expansion of f in n 6.440 * [backup-simplify]: Simplify f into f 6.440 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.440 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.440 * [taylor]: Taking taylor expansion of n in n 6.440 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify 1 into 1 6.440 * [backup-simplify]: Simplify (/ 1 1) into 1 6.440 * [taylor]: Taking taylor expansion of f in n 6.440 * [backup-simplify]: Simplify f into f 6.441 * [backup-simplify]: Simplify (+ 0 1) into 1 6.441 * [backup-simplify]: Simplify (* 1 f) into f 6.441 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.441 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.441 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.441 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.441 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.441 * [taylor]: Taking taylor expansion of f in f 6.441 * [backup-simplify]: Simplify 0 into 0 6.441 * [backup-simplify]: Simplify 1 into 1 6.441 * [backup-simplify]: Simplify (/ 1 1) into 1 6.441 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.441 * [taylor]: Taking taylor expansion of n in f 6.441 * [backup-simplify]: Simplify n into n 6.441 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.441 * [taylor]: Taking taylor expansion of f in f 6.441 * [backup-simplify]: Simplify 0 into 0 6.441 * [backup-simplify]: Simplify 1 into 1 6.442 * [backup-simplify]: Simplify (+ 1 0) into 1 6.442 * [backup-simplify]: Simplify (* 1 0) into 0 6.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.443 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.444 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.444 * [backup-simplify]: Simplify (/ 1 1) into 1 6.444 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.444 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.444 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.444 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.444 * [taylor]: Taking taylor expansion of f in f 6.444 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify 1 into 1 6.445 * [backup-simplify]: Simplify (/ 1 1) into 1 6.445 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.445 * [taylor]: Taking taylor expansion of n in f 6.445 * [backup-simplify]: Simplify n into n 6.445 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.445 * [taylor]: Taking taylor expansion of f in f 6.445 * [backup-simplify]: Simplify 0 into 0 6.445 * [backup-simplify]: Simplify 1 into 1 6.445 * [backup-simplify]: Simplify (+ 1 0) into 1 6.446 * [backup-simplify]: Simplify (* 1 0) into 0 6.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.447 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.447 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.448 * [backup-simplify]: Simplify (/ 1 1) into 1 6.448 * [taylor]: Taking taylor expansion of 1 in n 6.448 * [backup-simplify]: Simplify 1 into 1 6.448 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.449 * [backup-simplify]: Simplify (+ 0 0) into 0 6.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 6.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 6.450 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 6.450 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.450 * [taylor]: Taking taylor expansion of n in n 6.450 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify 1 into 1 6.451 * [backup-simplify]: Simplify (/ 1 1) into 1 6.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.453 * [backup-simplify]: Simplify (- 0) into 0 6.453 * [backup-simplify]: Simplify 0 into 0 6.453 * [backup-simplify]: Simplify 0 into 0 6.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.455 * [backup-simplify]: Simplify (+ 0 0) into 0 6.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 6.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 6.457 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.457 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.457 * [taylor]: Taking taylor expansion of n in n 6.457 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify 1 into 1 6.457 * [backup-simplify]: Simplify (* 1 1) into 1 6.458 * [backup-simplify]: Simplify (/ 1 1) into 1 6.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.463 * [backup-simplify]: Simplify 0 into 0 6.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.465 * [backup-simplify]: Simplify (- 0) into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.465 * [backup-simplify]: Simplify (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) into (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 6.465 * [approximate]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in (f n) around 0 6.465 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 6.465 * [taylor]: Taking taylor expansion of -1 in n 6.465 * [backup-simplify]: Simplify -1 into -1 6.465 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 6.465 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 6.465 * [taylor]: Taking taylor expansion of f in n 6.465 * [backup-simplify]: Simplify f into f 6.466 * [taylor]: Taking taylor expansion of (+ n f) in n 6.466 * [taylor]: Taking taylor expansion of n in n 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.466 * [taylor]: Taking taylor expansion of f in n 6.466 * [backup-simplify]: Simplify f into f 6.466 * [backup-simplify]: Simplify (+ 0 f) into f 6.466 * [backup-simplify]: Simplify (/ f f) into 1 6.466 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 6.466 * [taylor]: Taking taylor expansion of n in n 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.466 * [taylor]: Taking taylor expansion of (+ n f) in n 6.466 * [taylor]: Taking taylor expansion of n in n 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.466 * [taylor]: Taking taylor expansion of f in n 6.466 * [backup-simplify]: Simplify f into f 6.466 * [backup-simplify]: Simplify (+ 0 f) into f 6.466 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.467 * [backup-simplify]: Simplify (+ 1 0) into 1 6.467 * [backup-simplify]: Simplify (/ -1 1) into -1 6.467 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 6.467 * [taylor]: Taking taylor expansion of -1 in f 6.467 * [backup-simplify]: Simplify -1 into -1 6.467 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 6.467 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 6.467 * [taylor]: Taking taylor expansion of f in f 6.467 * [backup-simplify]: Simplify 0 into 0 6.467 * [backup-simplify]: Simplify 1 into 1 6.467 * [taylor]: Taking taylor expansion of (+ n f) in f 6.467 * [taylor]: Taking taylor expansion of n in f 6.467 * [backup-simplify]: Simplify n into n 6.467 * [taylor]: Taking taylor expansion of f in f 6.468 * [backup-simplify]: Simplify 0 into 0 6.468 * [backup-simplify]: Simplify 1 into 1 6.468 * [backup-simplify]: Simplify (+ n 0) into n 6.468 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.468 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 6.468 * [taylor]: Taking taylor expansion of n in f 6.468 * [backup-simplify]: Simplify n into n 6.468 * [taylor]: Taking taylor expansion of (+ n f) in f 6.468 * [taylor]: Taking taylor expansion of n in f 6.468 * [backup-simplify]: Simplify n into n 6.468 * [taylor]: Taking taylor expansion of f in f 6.468 * [backup-simplify]: Simplify 0 into 0 6.468 * [backup-simplify]: Simplify 1 into 1 6.468 * [backup-simplify]: Simplify (+ n 0) into n 6.468 * [backup-simplify]: Simplify (/ n n) into 1 6.468 * [backup-simplify]: Simplify (- 1) into -1 6.469 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.469 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.469 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 6.469 * [taylor]: Taking taylor expansion of -1 in f 6.469 * [backup-simplify]: Simplify -1 into -1 6.469 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 6.469 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 6.469 * [taylor]: Taking taylor expansion of f in f 6.469 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify 1 into 1 6.469 * [taylor]: Taking taylor expansion of (+ n f) in f 6.469 * [taylor]: Taking taylor expansion of n in f 6.469 * [backup-simplify]: Simplify n into n 6.470 * [taylor]: Taking taylor expansion of f in f 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 1 into 1 6.470 * [backup-simplify]: Simplify (+ n 0) into n 6.470 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.470 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 6.470 * [taylor]: Taking taylor expansion of n in f 6.470 * [backup-simplify]: Simplify n into n 6.470 * [taylor]: Taking taylor expansion of (+ n f) in f 6.470 * [taylor]: Taking taylor expansion of n in f 6.470 * [backup-simplify]: Simplify n into n 6.470 * [taylor]: Taking taylor expansion of f in f 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 1 into 1 6.470 * [backup-simplify]: Simplify (+ n 0) into n 6.470 * [backup-simplify]: Simplify (/ n n) into 1 6.470 * [backup-simplify]: Simplify (- 1) into -1 6.470 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.471 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.471 * [taylor]: Taking taylor expansion of 1 in n 6.471 * [backup-simplify]: Simplify 1 into 1 6.471 * [backup-simplify]: Simplify 1 into 1 6.471 * [backup-simplify]: Simplify (+ 0 1) into 1 6.471 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 6.471 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 6.471 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 6.472 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) 6.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.472 * [taylor]: Taking taylor expansion of 2 in n 6.472 * [backup-simplify]: Simplify 2 into 2 6.472 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.472 * [taylor]: Taking taylor expansion of n in n 6.472 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify 1 into 1 6.472 * [backup-simplify]: Simplify (/ 1 1) into 1 6.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.473 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.473 * [backup-simplify]: Simplify 0 into 0 6.473 * [backup-simplify]: Simplify 0 into 0 6.473 * [backup-simplify]: Simplify (+ 0 1) into 1 6.473 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 6.474 * [backup-simplify]: Simplify (+ 0 0) into 0 6.474 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 6.474 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 6.474 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 6.475 * [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))) 6.475 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.475 * [taylor]: Taking taylor expansion of 2 in n 6.475 * [backup-simplify]: Simplify 2 into 2 6.475 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.475 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.475 * [taylor]: Taking taylor expansion of n in n 6.475 * [backup-simplify]: Simplify 0 into 0 6.475 * [backup-simplify]: Simplify 1 into 1 6.475 * [backup-simplify]: Simplify (* 1 1) into 1 6.475 * [backup-simplify]: Simplify (/ 1 1) into 1 6.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.478 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.478 * [backup-simplify]: Simplify 0 into 0 6.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.479 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.479 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify (+ 0 0) into 0 6.480 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 6.480 * [backup-simplify]: Simplify (+ 0 0) into 0 6.480 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 6.480 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 6.480 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 6.481 * [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))) 6.481 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.481 * [taylor]: Taking taylor expansion of 2 in n 6.481 * [backup-simplify]: Simplify 2 into 2 6.481 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.481 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.481 * [taylor]: Taking taylor expansion of n in n 6.481 * [backup-simplify]: Simplify 0 into 0 6.481 * [backup-simplify]: Simplify 1 into 1 6.482 * [backup-simplify]: Simplify (* 1 1) into 1 6.482 * [backup-simplify]: Simplify (* 1 1) into 1 6.482 * [backup-simplify]: Simplify (/ 1 1) into 1 6.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.488 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 1 into 1 6.488 * [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)))) 6.488 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 6.488 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 6.488 * [taylor]: Taking taylor expansion of -1 in n 6.488 * [backup-simplify]: Simplify -1 into -1 6.488 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 6.489 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 6.489 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 6.489 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.489 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.489 * [taylor]: Taking taylor expansion of f in n 6.489 * [backup-simplify]: Simplify f into f 6.489 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.489 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.489 * [taylor]: Taking taylor expansion of n in n 6.489 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify 1 into 1 6.489 * [backup-simplify]: Simplify (/ 1 1) into 1 6.489 * [taylor]: Taking taylor expansion of f in n 6.489 * [backup-simplify]: Simplify f into f 6.489 * [backup-simplify]: Simplify (+ 0 1) into 1 6.489 * [backup-simplify]: Simplify (* 1 f) into f 6.489 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.489 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 6.489 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 6.489 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.489 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.490 * [taylor]: Taking taylor expansion of f in n 6.490 * [backup-simplify]: Simplify f into f 6.490 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.490 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.490 * [taylor]: Taking taylor expansion of n in n 6.490 * [backup-simplify]: Simplify 0 into 0 6.490 * [backup-simplify]: Simplify 1 into 1 6.490 * [backup-simplify]: Simplify (/ 1 1) into 1 6.490 * [taylor]: Taking taylor expansion of n in n 6.490 * [backup-simplify]: Simplify 0 into 0 6.490 * [backup-simplify]: Simplify 1 into 1 6.490 * [backup-simplify]: Simplify (+ 0 1) into 1 6.490 * [backup-simplify]: Simplify (* 1 0) into 0 6.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.491 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.491 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 6.492 * [backup-simplify]: Simplify (/ 1 1) into 1 6.492 * [backup-simplify]: Simplify (- 1) into -1 6.492 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.492 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.492 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 6.492 * [taylor]: Taking taylor expansion of -1 in f 6.492 * [backup-simplify]: Simplify -1 into -1 6.492 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 6.492 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.492 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.492 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.493 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.493 * [taylor]: Taking taylor expansion of f in f 6.493 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify 1 into 1 6.493 * [backup-simplify]: Simplify (/ 1 1) into 1 6.493 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.493 * [taylor]: Taking taylor expansion of n in f 6.493 * [backup-simplify]: Simplify n into n 6.493 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.493 * [taylor]: Taking taylor expansion of f in f 6.493 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify 1 into 1 6.493 * [backup-simplify]: Simplify (+ 1 0) into 1 6.493 * [backup-simplify]: Simplify (* 1 0) into 0 6.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.494 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.494 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.495 * [backup-simplify]: Simplify (/ 1 1) into 1 6.495 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.495 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.495 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.495 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.495 * [taylor]: Taking taylor expansion of f in f 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify 1 into 1 6.495 * [backup-simplify]: Simplify (/ 1 1) into 1 6.495 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.495 * [taylor]: Taking taylor expansion of n in f 6.495 * [backup-simplify]: Simplify n into n 6.495 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.495 * [taylor]: Taking taylor expansion of n in f 6.495 * [backup-simplify]: Simplify n into n 6.495 * [backup-simplify]: Simplify (+ 1 0) into 1 6.495 * [backup-simplify]: Simplify (* 1 n) into n 6.495 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.496 * [backup-simplify]: Simplify (+ 1 0) into 1 6.496 * [backup-simplify]: Simplify (/ -1 1) into -1 6.496 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 6.496 * [taylor]: Taking taylor expansion of -1 in f 6.496 * [backup-simplify]: Simplify -1 into -1 6.496 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 6.496 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.496 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.496 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.496 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.496 * [taylor]: Taking taylor expansion of f in f 6.496 * [backup-simplify]: Simplify 0 into 0 6.496 * [backup-simplify]: Simplify 1 into 1 6.496 * [backup-simplify]: Simplify (/ 1 1) into 1 6.496 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.496 * [taylor]: Taking taylor expansion of n in f 6.496 * [backup-simplify]: Simplify n into n 6.497 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.497 * [taylor]: Taking taylor expansion of f in f 6.497 * [backup-simplify]: Simplify 0 into 0 6.497 * [backup-simplify]: Simplify 1 into 1 6.497 * [backup-simplify]: Simplify (+ 1 0) into 1 6.497 * [backup-simplify]: Simplify (* 1 0) into 0 6.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.498 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.498 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.498 * [backup-simplify]: Simplify (/ 1 1) into 1 6.498 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.498 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.498 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.498 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.498 * [taylor]: Taking taylor expansion of f in f 6.498 * [backup-simplify]: Simplify 0 into 0 6.498 * [backup-simplify]: Simplify 1 into 1 6.499 * [backup-simplify]: Simplify (/ 1 1) into 1 6.499 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.499 * [taylor]: Taking taylor expansion of n in f 6.499 * [backup-simplify]: Simplify n into n 6.499 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.499 * [taylor]: Taking taylor expansion of n in f 6.499 * [backup-simplify]: Simplify n into n 6.499 * [backup-simplify]: Simplify (+ 1 0) into 1 6.499 * [backup-simplify]: Simplify (* 1 n) into n 6.499 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.499 * [backup-simplify]: Simplify (+ 1 0) into 1 6.500 * [backup-simplify]: Simplify (/ -1 1) into -1 6.500 * [taylor]: Taking taylor expansion of -1 in n 6.500 * [backup-simplify]: Simplify -1 into -1 6.500 * [backup-simplify]: Simplify -1 into -1 6.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.501 * [backup-simplify]: Simplify (+ 0 0) into 0 6.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 6.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 6.501 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.501 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 6.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 6.502 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.502 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.502 * [taylor]: Taking taylor expansion of 2 in n 6.502 * [backup-simplify]: Simplify 2 into 2 6.502 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.502 * [taylor]: Taking taylor expansion of n in n 6.502 * [backup-simplify]: Simplify 0 into 0 6.502 * [backup-simplify]: Simplify 1 into 1 6.502 * [backup-simplify]: Simplify (/ 1 1) into 1 6.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.503 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.503 * [backup-simplify]: Simplify (- 0) into 0 6.503 * [backup-simplify]: Simplify 0 into 0 6.503 * [backup-simplify]: Simplify 0 into 0 6.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.504 * [backup-simplify]: Simplify (+ 0 0) into 0 6.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 6.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 6.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.506 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.507 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 6.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 6.508 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 6.508 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 6.509 * [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)))) 6.509 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.509 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.509 * [taylor]: Taking taylor expansion of 2 in n 6.509 * [backup-simplify]: Simplify 2 into 2 6.509 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.509 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.509 * [taylor]: Taking taylor expansion of n in n 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify 1 into 1 6.510 * [backup-simplify]: Simplify (* 1 1) into 1 6.510 * [backup-simplify]: Simplify (/ 1 1) into 1 6.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.515 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.515 * [backup-simplify]: Simplify (- 0) into 0 6.515 * [backup-simplify]: Simplify 0 into 0 6.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.517 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.518 * [backup-simplify]: Simplify (- 0) into 0 6.518 * [backup-simplify]: Simplify 0 into 0 6.518 * [backup-simplify]: Simplify 0 into 0 6.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.519 * [backup-simplify]: Simplify (+ 0 0) into 0 6.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 6.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.523 * [backup-simplify]: Simplify (+ 0 0) into 0 6.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 6.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 6.525 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 6.525 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 6.526 * [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)))) 6.526 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.526 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.526 * [taylor]: Taking taylor expansion of 2 in n 6.526 * [backup-simplify]: Simplify 2 into 2 6.526 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.526 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.526 * [taylor]: Taking taylor expansion of n in n 6.526 * [backup-simplify]: Simplify 0 into 0 6.526 * [backup-simplify]: Simplify 1 into 1 6.526 * [backup-simplify]: Simplify (* 1 1) into 1 6.527 * [backup-simplify]: Simplify (* 1 1) into 1 6.527 * [backup-simplify]: Simplify (/ 1 1) into 1 6.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.532 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.532 * [backup-simplify]: Simplify (- 0) into 0 6.532 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify -1 into -1 6.533 * [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)))) 6.533 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 6.533 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 6.533 * [taylor]: Taking taylor expansion of -1 in n 6.533 * [backup-simplify]: Simplify -1 into -1 6.533 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 6.533 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 6.533 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 6.533 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.533 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.533 * [taylor]: Taking taylor expansion of f in n 6.533 * [backup-simplify]: Simplify f into f 6.533 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.533 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.533 * [taylor]: Taking taylor expansion of n in n 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify 1 into 1 6.533 * [backup-simplify]: Simplify (/ 1 1) into 1 6.533 * [taylor]: Taking taylor expansion of f in n 6.533 * [backup-simplify]: Simplify f into f 6.534 * [backup-simplify]: Simplify (+ 0 1) into 1 6.534 * [backup-simplify]: Simplify (* 1 f) into f 6.534 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.534 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 6.534 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 6.534 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.534 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.534 * [taylor]: Taking taylor expansion of f in n 6.534 * [backup-simplify]: Simplify f into f 6.534 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.534 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.534 * [taylor]: Taking taylor expansion of n in n 6.534 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify 1 into 1 6.534 * [backup-simplify]: Simplify (/ 1 1) into 1 6.534 * [taylor]: Taking taylor expansion of n in n 6.534 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify 1 into 1 6.535 * [backup-simplify]: Simplify (+ 0 1) into 1 6.535 * [backup-simplify]: Simplify (* 1 0) into 0 6.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.535 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.536 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 6.536 * [backup-simplify]: Simplify (/ 1 1) into 1 6.536 * [backup-simplify]: Simplify (- 1) into -1 6.537 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.537 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.537 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 6.537 * [taylor]: Taking taylor expansion of -1 in f 6.537 * [backup-simplify]: Simplify -1 into -1 6.537 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 6.537 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.537 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.537 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.537 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.537 * [taylor]: Taking taylor expansion of f in f 6.537 * [backup-simplify]: Simplify 0 into 0 6.537 * [backup-simplify]: Simplify 1 into 1 6.537 * [backup-simplify]: Simplify (/ 1 1) into 1 6.537 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.537 * [taylor]: Taking taylor expansion of n in f 6.537 * [backup-simplify]: Simplify n into n 6.537 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.537 * [taylor]: Taking taylor expansion of f in f 6.537 * [backup-simplify]: Simplify 0 into 0 6.537 * [backup-simplify]: Simplify 1 into 1 6.538 * [backup-simplify]: Simplify (+ 1 0) into 1 6.538 * [backup-simplify]: Simplify (* 1 0) into 0 6.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.538 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.539 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.539 * [backup-simplify]: Simplify (/ 1 1) into 1 6.539 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.539 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.539 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.539 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.539 * [taylor]: Taking taylor expansion of f in f 6.539 * [backup-simplify]: Simplify 0 into 0 6.539 * [backup-simplify]: Simplify 1 into 1 6.539 * [backup-simplify]: Simplify (/ 1 1) into 1 6.539 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.539 * [taylor]: Taking taylor expansion of n in f 6.539 * [backup-simplify]: Simplify n into n 6.539 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.539 * [taylor]: Taking taylor expansion of n in f 6.540 * [backup-simplify]: Simplify n into n 6.540 * [backup-simplify]: Simplify (+ 1 0) into 1 6.540 * [backup-simplify]: Simplify (* 1 n) into n 6.540 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.540 * [backup-simplify]: Simplify (+ 1 0) into 1 6.540 * [backup-simplify]: Simplify (/ -1 1) into -1 6.540 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 6.540 * [taylor]: Taking taylor expansion of -1 in f 6.540 * [backup-simplify]: Simplify -1 into -1 6.540 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 6.541 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 6.541 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 6.541 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.541 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.541 * [taylor]: Taking taylor expansion of f in f 6.541 * [backup-simplify]: Simplify 0 into 0 6.541 * [backup-simplify]: Simplify 1 into 1 6.541 * [backup-simplify]: Simplify (/ 1 1) into 1 6.541 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.541 * [taylor]: Taking taylor expansion of n in f 6.541 * [backup-simplify]: Simplify n into n 6.541 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.541 * [taylor]: Taking taylor expansion of f in f 6.541 * [backup-simplify]: Simplify 0 into 0 6.541 * [backup-simplify]: Simplify 1 into 1 6.541 * [backup-simplify]: Simplify (+ 1 0) into 1 6.542 * [backup-simplify]: Simplify (* 1 0) into 0 6.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.542 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.542 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 6.543 * [backup-simplify]: Simplify (/ 1 1) into 1 6.543 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 6.543 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 6.543 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.543 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.543 * [taylor]: Taking taylor expansion of f in f 6.543 * [backup-simplify]: Simplify 0 into 0 6.543 * [backup-simplify]: Simplify 1 into 1 6.543 * [backup-simplify]: Simplify (/ 1 1) into 1 6.543 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.543 * [taylor]: Taking taylor expansion of n in f 6.543 * [backup-simplify]: Simplify n into n 6.543 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.543 * [taylor]: Taking taylor expansion of n in f 6.543 * [backup-simplify]: Simplify n into n 6.543 * [backup-simplify]: Simplify (+ 1 0) into 1 6.543 * [backup-simplify]: Simplify (* 1 n) into n 6.544 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.544 * [backup-simplify]: Simplify (+ 1 0) into 1 6.544 * [backup-simplify]: Simplify (/ -1 1) into -1 6.544 * [taylor]: Taking taylor expansion of -1 in n 6.544 * [backup-simplify]: Simplify -1 into -1 6.544 * [backup-simplify]: Simplify -1 into -1 6.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.545 * [backup-simplify]: Simplify (+ 0 0) into 0 6.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 6.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 6.546 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.546 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 6.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 6.546 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.546 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.546 * [taylor]: Taking taylor expansion of 2 in n 6.546 * [backup-simplify]: Simplify 2 into 2 6.546 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.546 * [taylor]: Taking taylor expansion of n in n 6.546 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify 1 into 1 6.547 * [backup-simplify]: Simplify (/ 1 1) into 1 6.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.548 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.548 * [backup-simplify]: Simplify (- 0) into 0 6.548 * [backup-simplify]: Simplify 0 into 0 6.548 * [backup-simplify]: Simplify 0 into 0 6.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.549 * [backup-simplify]: Simplify (+ 0 0) into 0 6.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 6.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 6.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.554 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.554 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 6.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 6.554 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 6.555 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 6.555 * [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)))) 6.555 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.555 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.555 * [taylor]: Taking taylor expansion of 2 in n 6.555 * [backup-simplify]: Simplify 2 into 2 6.555 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.555 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.555 * [taylor]: Taking taylor expansion of n in n 6.555 * [backup-simplify]: Simplify 0 into 0 6.555 * [backup-simplify]: Simplify 1 into 1 6.556 * [backup-simplify]: Simplify (* 1 1) into 1 6.556 * [backup-simplify]: Simplify (/ 1 1) into 1 6.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.559 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.560 * [backup-simplify]: Simplify (- 0) into 0 6.560 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.562 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.562 * [backup-simplify]: Simplify (- 0) into 0 6.562 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify 0 into 0 6.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.564 * [backup-simplify]: Simplify (+ 0 0) into 0 6.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 6.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.568 * [backup-simplify]: Simplify (+ 0 0) into 0 6.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 6.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 6.569 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 6.570 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 6.571 * [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)))) 6.571 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.571 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.571 * [taylor]: Taking taylor expansion of 2 in n 6.571 * [backup-simplify]: Simplify 2 into 2 6.571 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.571 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.571 * [taylor]: Taking taylor expansion of n in n 6.571 * [backup-simplify]: Simplify 0 into 0 6.571 * [backup-simplify]: Simplify 1 into 1 6.572 * [backup-simplify]: Simplify (* 1 1) into 1 6.572 * [backup-simplify]: Simplify (* 1 1) into 1 6.572 * [backup-simplify]: Simplify (/ 1 1) into 1 6.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.581 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.582 * [backup-simplify]: Simplify (- 0) into 0 6.582 * [backup-simplify]: Simplify 0 into 0 6.582 * [backup-simplify]: Simplify -1 into -1 6.582 * * * [progress]: simplifying candidates 6.603 * [simplify]: Simplifying: (expm1 (/ n (+ f n))) (log1p (/ 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)) (/ (+ f n) n) (/ n (+ (pow f 3) (pow n 3))) (/ n (- (* f f) (* n n))) (fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (- (* (cbrt (/ n (+ f n))) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ f n))))))) (fma (- (cbrt (/ n (+ f n)))) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ f n)))) (* (cbrt (/ n (+ f n))) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ f n)))))) (fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (- (* (sqrt (/ n (+ f n))) (sqrt (/ n (+ f n)))))) (fma (- (sqrt (/ n (+ f n)))) (sqrt (/ n (+ f n))) (* (sqrt (/ n (+ f n))) (sqrt (/ n (+ f n))))) (fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (- (* (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))))) (fma (- (/ (cbrt n) (cbrt (+ f n)))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (- (* (/ (cbrt n) (sqrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n)))))) (fma (- (/ (cbrt n) (sqrt (+ f n)))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n))) (* (/ (cbrt n) (sqrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n))))) (fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (- (* (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1)))) (fma (- (/ (cbrt n) (+ f n))) (/ (* (cbrt n) (cbrt n)) 1) (* (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1))) (fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (- (* (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1)))) (fma (- (/ (cbrt n) (+ f n))) (/ (* (cbrt n) (cbrt n)) 1) (* (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1))) (fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (- (* (/ (sqrt n) (cbrt (+ f n))) (/ (sqrt n) (* (cbrt (+ f n)) (cbrt (+ f n))))))) (fma (- (/ (sqrt n) (cbrt (+ f n)))) (/ (sqrt n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ (sqrt n) (cbrt (+ f n))) (/ (sqrt n) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (- (* (/ (sqrt n) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n)))))) (fma (- (/ (sqrt n) (sqrt (+ f n)))) (/ (sqrt n) (sqrt (+ f n))) (* (/ (sqrt n) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (- (* (/ (sqrt n) (+ f n)) (/ (sqrt n) 1)))) (fma (- (/ (sqrt n) (+ f n))) (/ (sqrt n) 1) (* (/ (sqrt n) (+ f n)) (/ (sqrt n) 1))) (fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f 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(+ f n)))))) (fma (sqrt (/ f (+ f n))) (sqrt (/ f (+ f n))) (- (* (sqrt (/ n (+ f n))) (sqrt (/ n (+ f n)))))) (fma (- (sqrt (/ n (+ f n)))) (sqrt (/ n (+ f n))) (* (sqrt (/ n (+ f n))) (sqrt (/ n (+ f n))))) (fma (sqrt (/ f (+ f n))) (sqrt (/ f (+ f n))) (- (* (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))))) (fma (- (/ (cbrt n) (cbrt (+ f n)))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (fma (sqrt (/ f (+ f n))) (sqrt (/ f (+ f n))) (- (* (/ (cbrt n) (sqrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n)))))) (fma (- (/ (cbrt n) (sqrt (+ f n)))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n))) (* (/ (cbrt n) (sqrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n))))) (fma (sqrt (/ f (+ f n))) (sqrt (/ f (+ f n))) (- (* (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1)))) (fma (- (/ (cbrt n) (+ f n))) (/ (* (cbrt n) (cbrt n)) 1) (* (/ (cbrt n) (+ 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3) (pow (/ n (+ f n)) 3))) (/ -1 (- (* (/ f (+ f n)) (/ f (+ f n))) (* (/ n (+ f n)) (/ n (+ f n))))) 0 0 0 -1 1 1 0 0 0 1 -1 -1 6.635 * * [simplify]: iteration 0: 531 enodes 6.799 * * [simplify]: iteration 1: 1171 enodes 7.394 * * [simplify]: iteration 2: 3217 enodes 9.245 * * [simplify]: iteration complete: 5003 enodes 9.246 * * [simplify]: Extracting #0: cost 259 inf + 0 9.252 * * [simplify]: Extracting #1: cost 797 inf + 88 9.259 * * [simplify]: Extracting #2: cost 1103 inf + 13364 9.280 * * [simplify]: Extracting #3: cost 582 inf + 100404 9.360 * * [simplify]: Extracting #4: cost 104 inf + 218730 9.458 * * [simplify]: Extracting #5: cost 2 inf + 251379 9.549 * * [simplify]: Extracting #6: cost 0 inf + 251890 9.686 * [simplify]: Simplified to: (expm1 (/ n (+ f n))) (log1p (/ n (+ f n))) (log (/ n (+ f n))) (log (/ n (+ f n))) (exp (/ n (+ f n))) (* (/ n (+ f n)) (* (/ n (+ f n)) (/ n (+ f n)))) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ f n)))) (cbrt (/ n (+ f n))) (* (/ n (+ f n)) (* 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(+ (sqrt (/ n (+ f n))) (sqrt (/ f (+ f n))))) (/ -1 (+ (/ (sqrt n) (sqrt (+ f n))) (sqrt (/ f (+ f n))))) (/ -1 (+ (sqrt (/ n (+ f n))) (/ (sqrt f) (sqrt (+ f n))))) (/ -1 (+ (/ (sqrt n) (sqrt (+ f n))) (/ (sqrt f) (sqrt (+ f n))))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (sqrt (+ f n))) -1 -1 -1 -1 -1 (- (+ f n)) (/ -1 (fma n (- n f) (* f f))) (/ -1 (- f n)) (/ (- (/ f (+ f n)) (/ n (+ f n))) (cbrt -1)) (/ (- (/ f (+ f n)) (/ n (+ f n))) (sqrt -1)) (- (/ f (- (+ f n))) (/ n (- (+ f n)))) (/ -1 (- f n)) (/ -1 (- (* f (+ f n)) (* n (+ f n)))) (/ -1 (- (* (* (/ f (+ f n)) (/ f (+ f n))) (/ f (+ f n))) (* (/ n (+ f n)) (* (/ n (+ f n)) (/ n (+ f n)))))) (/ -1 (* (- (/ f (+ f n)) (/ n (+ f n))) (+ (/ f (+ f n)) (/ n (+ f n))))) 0 0 0 -1 1 1 0 0 0 1 -1 -1 9.776 * * * [progress]: adding candidates to table 12.011 * * [progress]: iteration 4 / 4 12.011 * * * [progress]: picking best candidate 12.018 * * * * [pick]: Picked # 12.018 * * * [progress]: localizing error 12.045 * * * [progress]: generating rewritten candidates 12.045 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 12.094 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 12.101 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 12.149 * * * [progress]: generating series expansions 12.149 * * * * [progress]: [ 1 / 3 ] generating series at (2) 12.150 * [backup-simplify]: Simplify (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))) into (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) 12.150 * [approximate]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in (f n) around 0 12.150 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in n 12.150 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in n 12.150 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.150 * [taylor]: Taking taylor expansion of n in n 12.151 * [backup-simplify]: Simplify 0 into 0 12.151 * [backup-simplify]: Simplify 1 into 1 12.151 * [taylor]: Taking taylor expansion of (pow f 2) in n 12.151 * [taylor]: Taking taylor expansion of f in n 12.151 * [backup-simplify]: Simplify f into f 12.151 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 12.151 * [taylor]: Taking taylor expansion of (- f n) in n 12.151 * [taylor]: Taking taylor expansion of f in n 12.151 * [backup-simplify]: Simplify f into f 12.151 * [taylor]: Taking taylor expansion of n in n 12.151 * [backup-simplify]: Simplify 0 into 0 12.151 * [backup-simplify]: Simplify 1 into 1 12.152 * [backup-simplify]: Simplify (- 0) into 0 12.152 * [backup-simplify]: Simplify (+ f 0) into f 12.152 * [backup-simplify]: Simplify (* f f) into (pow f 2) 12.152 * [backup-simplify]: Simplify (- (pow f 2)) into (- (pow f 2)) 12.152 * [backup-simplify]: Simplify (+ 0 (- (pow f 2))) into (- (pow f 2)) 12.152 * [backup-simplify]: Simplify (* f f) into (pow f 2) 12.152 * [backup-simplify]: Simplify (/ (- (pow f 2)) (pow f 2)) into -1 12.152 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in f 12.152 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 12.152 * [taylor]: Taking taylor expansion of (pow n 2) in f 12.152 * [taylor]: Taking taylor expansion of n in f 12.153 * [backup-simplify]: Simplify n into n 12.153 * [taylor]: Taking taylor expansion of (pow f 2) in f 12.153 * [taylor]: Taking taylor expansion of f in f 12.153 * [backup-simplify]: Simplify 0 into 0 12.153 * [backup-simplify]: Simplify 1 into 1 12.153 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 12.153 * [taylor]: Taking taylor expansion of (- f n) in f 12.153 * [taylor]: Taking taylor expansion of f in f 12.153 * [backup-simplify]: Simplify 0 into 0 12.153 * [backup-simplify]: Simplify 1 into 1 12.153 * [taylor]: Taking taylor expansion of n in f 12.153 * [backup-simplify]: Simplify n into n 12.153 * [backup-simplify]: Simplify (- n) into (- n) 12.153 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.153 * [backup-simplify]: Simplify (* n n) into (pow n 2) 12.153 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 12.153 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 12.153 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 12.154 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in f 12.154 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 12.154 * [taylor]: Taking taylor expansion of (pow n 2) in f 12.154 * [taylor]: Taking taylor expansion of n in f 12.154 * [backup-simplify]: Simplify n into n 12.154 * [taylor]: Taking taylor expansion of (pow f 2) in f 12.154 * [taylor]: Taking taylor expansion of f in f 12.154 * [backup-simplify]: Simplify 0 into 0 12.154 * [backup-simplify]: Simplify 1 into 1 12.154 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 12.154 * [taylor]: Taking taylor expansion of (- f n) in f 12.154 * [taylor]: Taking taylor expansion of f in f 12.154 * [backup-simplify]: Simplify 0 into 0 12.154 * [backup-simplify]: Simplify 1 into 1 12.154 * [taylor]: Taking taylor expansion of n in f 12.154 * [backup-simplify]: Simplify n into n 12.154 * [backup-simplify]: Simplify (- n) into (- n) 12.154 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.154 * [backup-simplify]: Simplify (* n n) into (pow n 2) 12.154 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 12.154 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 12.155 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 12.155 * [taylor]: Taking taylor expansion of 1 in n 12.155 * [backup-simplify]: Simplify 1 into 1 12.155 * [backup-simplify]: Simplify 1 into 1 12.155 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 12.155 * [backup-simplify]: Simplify (+ 0 0) into 0 12.156 * [backup-simplify]: Simplify (- 0) into 0 12.156 * [backup-simplify]: Simplify (+ 1 0) into 1 12.156 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 12.157 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 n)) 12.157 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.157 * [taylor]: Taking taylor expansion of 2 in n 12.157 * [backup-simplify]: Simplify 2 into 2 12.157 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.157 * [taylor]: Taking taylor expansion of n in n 12.157 * [backup-simplify]: Simplify 0 into 0 12.157 * [backup-simplify]: Simplify 1 into 1 12.157 * [backup-simplify]: Simplify (/ 1 1) into 1 12.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.159 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.159 * [backup-simplify]: Simplify 0 into 0 12.159 * [backup-simplify]: Simplify 0 into 0 12.160 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 12.160 * [backup-simplify]: Simplify (* 1 1) into 1 12.160 * [backup-simplify]: Simplify (- 1) into -1 12.161 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.161 * [backup-simplify]: Simplify (- 0) into 0 12.162 * [backup-simplify]: Simplify (+ 0 0) into 0 12.162 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 12.163 * [backup-simplify]: Simplify (- (/ -1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 2 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 2))) 12.163 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.163 * [taylor]: Taking taylor expansion of 2 in n 12.163 * [backup-simplify]: Simplify 2 into 2 12.163 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.163 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.163 * [taylor]: Taking taylor expansion of n in n 12.163 * [backup-simplify]: Simplify 0 into 0 12.163 * [backup-simplify]: Simplify 1 into 1 12.163 * [backup-simplify]: Simplify (* 1 1) into 1 12.164 * [backup-simplify]: Simplify (/ 1 1) into 1 12.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.168 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.168 * [backup-simplify]: Simplify 0 into 0 12.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.170 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.170 * [backup-simplify]: Simplify 0 into 0 12.170 * [backup-simplify]: Simplify 0 into 0 12.171 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 12.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.172 * [backup-simplify]: Simplify (- 0) into 0 12.173 * [backup-simplify]: Simplify (+ 0 0) into 0 12.173 * [backup-simplify]: Simplify (- 0) into 0 12.174 * [backup-simplify]: Simplify (+ 0 0) into 0 12.175 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 12.176 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 2 (/ 1 n)) (/ 1 (pow n 2))) (* (* 2 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 3))) 12.176 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.176 * [taylor]: Taking taylor expansion of 2 in n 12.176 * [backup-simplify]: Simplify 2 into 2 12.176 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.176 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.176 * [taylor]: Taking taylor expansion of n in n 12.176 * [backup-simplify]: Simplify 0 into 0 12.176 * [backup-simplify]: Simplify 1 into 1 12.176 * [backup-simplify]: Simplify (* 1 1) into 1 12.177 * [backup-simplify]: Simplify (* 1 1) into 1 12.177 * [backup-simplify]: Simplify (/ 1 1) into 1 12.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.186 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.186 * [backup-simplify]: Simplify 0 into 0 12.186 * [backup-simplify]: Simplify 1 into 1 12.187 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n)))) (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) 12.187 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 12.187 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 12.187 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 12.187 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.187 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.187 * [taylor]: Taking taylor expansion of n in n 12.187 * [backup-simplify]: Simplify 0 into 0 12.187 * [backup-simplify]: Simplify 1 into 1 12.188 * [backup-simplify]: Simplify (* 1 1) into 1 12.188 * [backup-simplify]: Simplify (/ 1 1) into 1 12.188 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 12.188 * [taylor]: Taking taylor expansion of (pow f 2) in n 12.188 * [taylor]: Taking taylor expansion of f in n 12.188 * [backup-simplify]: Simplify f into f 12.188 * [backup-simplify]: Simplify (* f f) into (pow f 2) 12.188 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 12.188 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 12.189 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.189 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.189 * [taylor]: Taking taylor expansion of f in n 12.189 * [backup-simplify]: Simplify f into f 12.189 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.189 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.189 * [taylor]: Taking taylor expansion of n in n 12.189 * [backup-simplify]: Simplify 0 into 0 12.189 * [backup-simplify]: Simplify 1 into 1 12.189 * [backup-simplify]: Simplify (/ 1 1) into 1 12.190 * [backup-simplify]: Simplify (- 1) into -1 12.190 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.190 * [backup-simplify]: Simplify (+ 1 0) into 1 12.191 * [backup-simplify]: Simplify (* -1 -1) into 1 12.191 * [backup-simplify]: Simplify (/ 1 1) into 1 12.191 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 12.191 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 12.191 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 12.191 * [taylor]: Taking taylor expansion of (pow n 2) in f 12.191 * [taylor]: Taking taylor expansion of n in f 12.191 * [backup-simplify]: Simplify n into n 12.191 * [backup-simplify]: Simplify (* n n) into (pow n 2) 12.192 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 12.192 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 12.192 * [taylor]: Taking taylor expansion of (pow f 2) in f 12.192 * [taylor]: Taking taylor expansion of f in f 12.192 * [backup-simplify]: Simplify 0 into 0 12.192 * [backup-simplify]: Simplify 1 into 1 12.192 * [backup-simplify]: Simplify (* 1 1) into 1 12.193 * [backup-simplify]: Simplify (/ 1 1) into 1 12.193 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 12.193 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.193 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.193 * [taylor]: Taking taylor expansion of f in f 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify 1 into 1 12.193 * [backup-simplify]: Simplify (/ 1 1) into 1 12.193 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.193 * [taylor]: Taking taylor expansion of n in f 12.194 * [backup-simplify]: Simplify n into n 12.194 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.194 * [backup-simplify]: Simplify (+ 1 0) into 1 12.194 * [backup-simplify]: Simplify (- 1) into -1 12.195 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.195 * [backup-simplify]: Simplify (* 1 1) into 1 12.196 * [backup-simplify]: Simplify (/ -1 1) into -1 12.196 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 12.196 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 12.196 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 12.196 * [taylor]: Taking taylor expansion of (pow n 2) in f 12.196 * [taylor]: Taking taylor expansion of n in f 12.196 * [backup-simplify]: Simplify n into n 12.196 * [backup-simplify]: Simplify (* n n) into (pow n 2) 12.196 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 12.196 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 12.196 * [taylor]: Taking taylor expansion of (pow f 2) in f 12.196 * [taylor]: Taking taylor expansion of f in f 12.196 * [backup-simplify]: Simplify 0 into 0 12.196 * [backup-simplify]: Simplify 1 into 1 12.197 * [backup-simplify]: Simplify (* 1 1) into 1 12.197 * [backup-simplify]: Simplify (/ 1 1) into 1 12.197 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 12.197 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.197 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.197 * [taylor]: Taking taylor expansion of f in f 12.197 * [backup-simplify]: Simplify 0 into 0 12.197 * [backup-simplify]: Simplify 1 into 1 12.198 * [backup-simplify]: Simplify (/ 1 1) into 1 12.198 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.198 * [taylor]: Taking taylor expansion of n in f 12.198 * [backup-simplify]: Simplify n into n 12.198 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.198 * [backup-simplify]: Simplify (+ 1 0) into 1 12.199 * [backup-simplify]: Simplify (- 1) into -1 12.199 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.200 * [backup-simplify]: Simplify (* 1 1) into 1 12.200 * [backup-simplify]: Simplify (/ -1 1) into -1 12.200 * [taylor]: Taking taylor expansion of -1 in n 12.200 * [backup-simplify]: Simplify -1 into -1 12.200 * [backup-simplify]: Simplify -1 into -1 12.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.202 * [backup-simplify]: Simplify (- 0) into 0 12.202 * [backup-simplify]: Simplify (+ 0 0) into 0 12.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.203 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.203 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.204 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 12.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 12.204 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.204 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.204 * [taylor]: Taking taylor expansion of 2 in n 12.204 * [backup-simplify]: Simplify 2 into 2 12.204 * [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 12.205 * [backup-simplify]: Simplify 1 into 1 12.205 * [backup-simplify]: Simplify (/ 1 1) into 1 12.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.206 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.206 * [backup-simplify]: Simplify (- 0) into 0 12.206 * [backup-simplify]: Simplify 0 into 0 12.206 * [backup-simplify]: Simplify 0 into 0 12.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.208 * [backup-simplify]: Simplify (- 0) into 0 12.208 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 12.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.209 * [backup-simplify]: Simplify (- 0) into 0 12.209 * [backup-simplify]: Simplify (+ 0 0) into 0 12.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 12.210 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.210 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.210 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.210 * [taylor]: Taking taylor expansion of 2 in n 12.210 * [backup-simplify]: Simplify 2 into 2 12.210 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.210 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.210 * [taylor]: Taking taylor expansion of n in n 12.210 * [backup-simplify]: Simplify 0 into 0 12.210 * [backup-simplify]: Simplify 1 into 1 12.211 * [backup-simplify]: Simplify (* 1 1) into 1 12.211 * [backup-simplify]: Simplify (/ 1 1) into 1 12.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.214 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.214 * [backup-simplify]: Simplify (- 0) into 0 12.214 * [backup-simplify]: Simplify 0 into 0 12.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.216 * [backup-simplify]: Simplify (- 0) into 0 12.216 * [backup-simplify]: Simplify 0 into 0 12.216 * [backup-simplify]: Simplify 0 into 0 12.216 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 12.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 12.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.217 * [backup-simplify]: Simplify (- 0) into 0 12.218 * [backup-simplify]: Simplify (+ 0 0) into 0 12.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.219 * [backup-simplify]: Simplify (- 0) into 0 12.219 * [backup-simplify]: Simplify (+ 0 0) into 0 12.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 12.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.221 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.221 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.221 * [taylor]: Taking taylor expansion of 2 in n 12.221 * [backup-simplify]: Simplify 2 into 2 12.221 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.221 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.221 * [taylor]: Taking taylor expansion of n in n 12.221 * [backup-simplify]: Simplify 0 into 0 12.221 * [backup-simplify]: Simplify 1 into 1 12.221 * [backup-simplify]: Simplify (* 1 1) into 1 12.221 * [backup-simplify]: Simplify (* 1 1) into 1 12.221 * [backup-simplify]: Simplify (/ 1 1) into 1 12.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.230 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.230 * [backup-simplify]: Simplify (- 0) into 0 12.230 * [backup-simplify]: Simplify 0 into 0 12.230 * [backup-simplify]: Simplify -1 into -1 12.231 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n))))) (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) 12.231 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 12.231 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 12.231 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 12.231 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.231 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.231 * [taylor]: Taking taylor expansion of n in n 12.231 * [backup-simplify]: Simplify 0 into 0 12.231 * [backup-simplify]: Simplify 1 into 1 12.231 * [backup-simplify]: Simplify (* 1 1) into 1 12.231 * [backup-simplify]: Simplify (/ 1 1) into 1 12.231 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 12.231 * [taylor]: Taking taylor expansion of (pow f 2) in n 12.231 * [taylor]: Taking taylor expansion of f in n 12.231 * [backup-simplify]: Simplify f into f 12.231 * [backup-simplify]: Simplify (* f f) into (pow f 2) 12.231 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 12.231 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 12.231 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.232 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.232 * [taylor]: Taking taylor expansion of n in n 12.232 * [backup-simplify]: Simplify 0 into 0 12.232 * [backup-simplify]: Simplify 1 into 1 12.232 * [backup-simplify]: Simplify (/ 1 1) into 1 12.232 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.232 * [taylor]: Taking taylor expansion of f in n 12.232 * [backup-simplify]: Simplify f into f 12.232 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.232 * [backup-simplify]: Simplify (+ 1 0) into 1 12.232 * [backup-simplify]: Simplify (+ 1 0) into 1 12.233 * [backup-simplify]: Simplify (* 1 1) into 1 12.233 * [backup-simplify]: Simplify (/ 1 1) into 1 12.233 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 12.233 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 12.233 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 12.233 * [taylor]: Taking taylor expansion of (pow n 2) in f 12.233 * [taylor]: Taking taylor expansion of n in f 12.233 * [backup-simplify]: Simplify n into n 12.233 * [backup-simplify]: Simplify (* n n) into (pow n 2) 12.233 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 12.233 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 12.233 * [taylor]: Taking taylor expansion of (pow f 2) in f 12.233 * [taylor]: Taking taylor expansion of f in f 12.233 * [backup-simplify]: Simplify 0 into 0 12.233 * [backup-simplify]: Simplify 1 into 1 12.234 * [backup-simplify]: Simplify (* 1 1) into 1 12.234 * [backup-simplify]: Simplify (/ 1 1) into 1 12.234 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 12.234 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.234 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.234 * [taylor]: Taking taylor expansion of n in f 12.234 * [backup-simplify]: Simplify n into n 12.234 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.234 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.234 * [taylor]: Taking taylor expansion of f in f 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify 1 into 1 12.234 * [backup-simplify]: Simplify (/ 1 1) into 1 12.234 * [backup-simplify]: Simplify (- 1) into -1 12.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.235 * [backup-simplify]: Simplify (- 1) into -1 12.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.236 * [backup-simplify]: Simplify (* -1 -1) into 1 12.236 * [backup-simplify]: Simplify (/ -1 1) into -1 12.236 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 12.236 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 12.236 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 12.236 * [taylor]: Taking taylor expansion of (pow n 2) in f 12.236 * [taylor]: Taking taylor expansion of n in f 12.236 * [backup-simplify]: Simplify n into n 12.236 * [backup-simplify]: Simplify (* n n) into (pow n 2) 12.236 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 12.236 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 12.236 * [taylor]: Taking taylor expansion of (pow f 2) in f 12.236 * [taylor]: Taking taylor expansion of f in f 12.236 * [backup-simplify]: Simplify 0 into 0 12.236 * [backup-simplify]: Simplify 1 into 1 12.236 * [backup-simplify]: Simplify (* 1 1) into 1 12.237 * [backup-simplify]: Simplify (/ 1 1) into 1 12.237 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 12.237 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.237 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.237 * [taylor]: Taking taylor expansion of n in f 12.237 * [backup-simplify]: Simplify n into n 12.237 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.237 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.237 * [taylor]: Taking taylor expansion of f in f 12.237 * [backup-simplify]: Simplify 0 into 0 12.237 * [backup-simplify]: Simplify 1 into 1 12.237 * [backup-simplify]: Simplify (/ 1 1) into 1 12.237 * [backup-simplify]: Simplify (- 1) into -1 12.238 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.238 * [backup-simplify]: Simplify (- 1) into -1 12.238 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.238 * [backup-simplify]: Simplify (* -1 -1) into 1 12.239 * [backup-simplify]: Simplify (/ -1 1) into -1 12.239 * [taylor]: Taking taylor expansion of -1 in n 12.239 * [backup-simplify]: Simplify -1 into -1 12.239 * [backup-simplify]: Simplify -1 into -1 12.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.240 * [backup-simplify]: Simplify (- 0) into 0 12.240 * [backup-simplify]: Simplify (+ 0 0) into 0 12.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.241 * [backup-simplify]: Simplify (- 0) into 0 12.241 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.241 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 12.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 12.241 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.241 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.241 * [taylor]: Taking taylor expansion of 2 in n 12.241 * [backup-simplify]: Simplify 2 into 2 12.241 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.241 * [taylor]: Taking taylor expansion of n in n 12.241 * [backup-simplify]: Simplify 0 into 0 12.241 * [backup-simplify]: Simplify 1 into 1 12.242 * [backup-simplify]: Simplify (/ 1 1) into 1 12.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.243 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.243 * [backup-simplify]: Simplify (- 0) into 0 12.243 * [backup-simplify]: Simplify 0 into 0 12.243 * [backup-simplify]: Simplify 0 into 0 12.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.245 * [backup-simplify]: Simplify (- 0) into 0 12.245 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 12.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.246 * [backup-simplify]: Simplify (- 0) into 0 12.246 * [backup-simplify]: Simplify (+ 0 0) into 0 12.246 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 12.247 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.247 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.247 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.247 * [taylor]: Taking taylor expansion of 2 in n 12.247 * [backup-simplify]: Simplify 2 into 2 12.247 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.247 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.247 * [taylor]: Taking taylor expansion of n in n 12.247 * [backup-simplify]: Simplify 0 into 0 12.247 * [backup-simplify]: Simplify 1 into 1 12.247 * [backup-simplify]: Simplify (* 1 1) into 1 12.248 * [backup-simplify]: Simplify (/ 1 1) into 1 12.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.250 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.250 * [backup-simplify]: Simplify (- 0) into 0 12.250 * [backup-simplify]: Simplify 0 into 0 12.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.252 * [backup-simplify]: Simplify (+ (* 2 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 0 into 0 12.252 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 12.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 12.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.254 * [backup-simplify]: Simplify (- 0) into 0 12.254 * [backup-simplify]: Simplify (+ 0 0) into 0 12.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.255 * [backup-simplify]: Simplify (- 0) into 0 12.255 * [backup-simplify]: Simplify (+ 0 0) into 0 12.256 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 12.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.257 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.257 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.257 * [taylor]: Taking taylor expansion of 2 in n 12.257 * [backup-simplify]: Simplify 2 into 2 12.257 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.257 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.257 * [taylor]: Taking taylor expansion of n in n 12.257 * [backup-simplify]: Simplify 0 into 0 12.257 * [backup-simplify]: Simplify 1 into 1 12.257 * [backup-simplify]: Simplify (* 1 1) into 1 12.258 * [backup-simplify]: Simplify (* 1 1) into 1 12.258 * [backup-simplify]: Simplify (/ 1 1) into 1 12.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.263 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.264 * [backup-simplify]: Simplify (- 0) into 0 12.264 * [backup-simplify]: Simplify 0 into 0 12.264 * [backup-simplify]: Simplify -1 into -1 12.264 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 12.264 * [backup-simplify]: Simplify (- (* f f) (* n n)) into (- (pow f 2) (pow n 2)) 12.264 * [approximate]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in (f n) around 0 12.264 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in n 12.264 * [taylor]: Taking taylor expansion of (pow f 2) in n 12.264 * [taylor]: Taking taylor expansion of f in n 12.264 * [backup-simplify]: Simplify f into f 12.264 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.264 * [taylor]: Taking taylor expansion of n in n 12.264 * [backup-simplify]: Simplify 0 into 0 12.264 * [backup-simplify]: Simplify 1 into 1 12.264 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 12.264 * [taylor]: Taking taylor expansion of (pow f 2) 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 * [taylor]: Taking taylor expansion of (pow n 2) in f 12.264 * [taylor]: Taking taylor expansion of n in f 12.264 * [backup-simplify]: Simplify n into n 12.264 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 12.264 * [taylor]: Taking taylor expansion of (pow f 2) 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 * [taylor]: Taking taylor expansion of (pow n 2) 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 (* n n) into (pow n 2) 12.265 * [backup-simplify]: Simplify (- (pow n 2)) into (- (pow n 2)) 12.265 * [backup-simplify]: Simplify (+ 0 (- (pow n 2))) into (- (pow n 2)) 12.265 * [taylor]: Taking taylor expansion of (- (pow n 2)) in n 12.265 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.265 * [taylor]: Taking taylor expansion of n in n 12.265 * [backup-simplify]: Simplify 0 into 0 12.265 * [backup-simplify]: Simplify 1 into 1 12.265 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 12.265 * [backup-simplify]: Simplify (- 0) into 0 12.265 * [backup-simplify]: Simplify (+ 0 0) into 0 12.265 * [taylor]: Taking taylor expansion of 0 in n 12.265 * [backup-simplify]: Simplify 0 into 0 12.265 * [backup-simplify]: Simplify 0 into 0 12.266 * [backup-simplify]: Simplify (* 1 1) into 1 12.266 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 12.266 * [backup-simplify]: Simplify (- 0) into 0 12.267 * [backup-simplify]: Simplify (+ 1 0) into 1 12.267 * [taylor]: Taking taylor expansion of 1 in n 12.267 * [backup-simplify]: Simplify 1 into 1 12.267 * [backup-simplify]: Simplify 1 into 1 12.267 * [backup-simplify]: Simplify 0 into 0 12.267 * [backup-simplify]: Simplify (* 1 1) into 1 12.267 * [backup-simplify]: Simplify (- 1) into -1 12.267 * [backup-simplify]: Simplify -1 into -1 12.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.268 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 12.268 * [backup-simplify]: Simplify (- 0) into 0 12.269 * [backup-simplify]: Simplify (+ 0 0) into 0 12.269 * [taylor]: Taking taylor expansion of 0 in n 12.269 * [backup-simplify]: Simplify 0 into 0 12.269 * [backup-simplify]: Simplify 0 into 0 12.269 * [backup-simplify]: Simplify 0 into 0 12.269 * [backup-simplify]: Simplify 0 into 0 12.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.270 * [backup-simplify]: Simplify (- 0) into 0 12.270 * [backup-simplify]: Simplify 0 into 0 12.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.271 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 12.271 * [backup-simplify]: Simplify (- 0) into 0 12.271 * [backup-simplify]: Simplify (+ 0 0) into 0 12.271 * [taylor]: Taking taylor expansion of 0 in n 12.271 * [backup-simplify]: Simplify 0 into 0 12.272 * [backup-simplify]: Simplify 0 into 0 12.272 * [backup-simplify]: Simplify 0 into 0 12.272 * [backup-simplify]: Simplify (+ (* -1 (pow (* n 1) 2)) (* 1 (pow (* 1 f) 2))) into (- (pow f 2) (pow n 2)) 12.272 * [backup-simplify]: Simplify (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 12.272 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 12.272 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 12.272 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 12.272 * [taylor]: Taking taylor expansion of (pow f 2) in n 12.272 * [taylor]: Taking taylor expansion of f in n 12.272 * [backup-simplify]: Simplify f into f 12.272 * [backup-simplify]: Simplify (* f f) into (pow f 2) 12.272 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 12.272 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.272 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.272 * [taylor]: Taking taylor expansion of n in n 12.272 * [backup-simplify]: Simplify 0 into 0 12.272 * [backup-simplify]: Simplify 1 into 1 12.273 * [backup-simplify]: Simplify (* 1 1) into 1 12.273 * [backup-simplify]: Simplify (/ 1 1) into 1 12.273 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 12.273 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 12.273 * [taylor]: Taking taylor expansion of (pow f 2) in f 12.273 * [taylor]: Taking taylor expansion of f in f 12.273 * [backup-simplify]: Simplify 0 into 0 12.273 * [backup-simplify]: Simplify 1 into 1 12.273 * [backup-simplify]: Simplify (* 1 1) into 1 12.274 * [backup-simplify]: Simplify (/ 1 1) into 1 12.274 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 12.274 * [taylor]: Taking taylor expansion of (pow n 2) in f 12.274 * [taylor]: Taking taylor expansion of n in f 12.274 * [backup-simplify]: Simplify n into n 12.274 * [backup-simplify]: Simplify (* n n) into (pow n 2) 12.274 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 12.274 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 12.274 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 12.274 * [taylor]: Taking taylor expansion of (pow f 2) in f 12.274 * [taylor]: Taking taylor expansion of f in f 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 12.274 * [backup-simplify]: Simplify (/ 1 1) into 1 12.274 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 12.274 * [taylor]: Taking taylor expansion of (pow n 2) in f 12.274 * [taylor]: Taking taylor expansion of n in f 12.274 * [backup-simplify]: Simplify n into n 12.275 * [backup-simplify]: Simplify (* n n) into (pow n 2) 12.275 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 12.275 * [backup-simplify]: Simplify (+ 1 0) into 1 12.275 * [taylor]: Taking taylor expansion of 1 in n 12.275 * [backup-simplify]: Simplify 1 into 1 12.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.276 * [backup-simplify]: Simplify (+ 0 0) into 0 12.276 * [taylor]: Taking taylor expansion of 0 in n 12.276 * [backup-simplify]: Simplify 0 into 0 12.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.278 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 12.278 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 12.278 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 12.278 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.278 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.279 * [taylor]: Taking taylor expansion of n in n 12.279 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify 1 into 1 12.279 * [backup-simplify]: Simplify (* 1 1) into 1 12.279 * [backup-simplify]: Simplify (/ 1 1) into 1 12.279 * [backup-simplify]: Simplify (- 1) into -1 12.279 * [backup-simplify]: Simplify -1 into -1 12.280 * [backup-simplify]: Simplify 1 into 1 12.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.281 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 12.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 12.281 * [backup-simplify]: Simplify (- 0) into 0 12.282 * [backup-simplify]: Simplify (+ 0 0) into 0 12.282 * [taylor]: Taking taylor expansion of 0 in n 12.282 * [backup-simplify]: Simplify 0 into 0 12.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.283 * [backup-simplify]: Simplify (- 0) into 0 12.283 * [backup-simplify]: Simplify 0 into 0 12.283 * [backup-simplify]: Simplify 0 into 0 12.283 * [backup-simplify]: Simplify 0 into 0 12.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.285 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 12.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 12.285 * [backup-simplify]: Simplify (- 0) into 0 12.285 * [backup-simplify]: Simplify (+ 0 0) into 0 12.285 * [taylor]: Taking taylor expansion of 0 in n 12.285 * [backup-simplify]: Simplify 0 into 0 12.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.287 * [backup-simplify]: Simplify (- 0) into 0 12.287 * [backup-simplify]: Simplify 0 into 0 12.287 * [backup-simplify]: Simplify 0 into 0 12.287 * [backup-simplify]: Simplify 0 into 0 12.287 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (* -1 (pow (* (/ 1 (/ 1 n)) 1) 2))) into (- (pow f 2) (pow n 2)) 12.287 * [backup-simplify]: Simplify (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n)))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 12.287 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 12.287 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 12.287 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 12.287 * [taylor]: Taking taylor expansion of (pow f 2) in n 12.287 * [taylor]: Taking taylor expansion of f in n 12.287 * [backup-simplify]: Simplify f into f 12.287 * [backup-simplify]: Simplify (* f f) into (pow f 2) 12.288 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 12.288 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.288 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.288 * [taylor]: Taking taylor expansion of n in n 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify 1 into 1 12.288 * [backup-simplify]: Simplify (* 1 1) into 1 12.288 * [backup-simplify]: Simplify (/ 1 1) into 1 12.288 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 12.288 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 12.288 * [taylor]: Taking taylor expansion of (pow f 2) in f 12.288 * [taylor]: Taking taylor expansion of f in f 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify 1 into 1 12.289 * [backup-simplify]: Simplify (* 1 1) into 1 12.289 * [backup-simplify]: Simplify (/ 1 1) into 1 12.289 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 12.289 * [taylor]: Taking taylor expansion of (pow n 2) in f 12.289 * [taylor]: Taking taylor expansion of n in f 12.289 * [backup-simplify]: Simplify n into n 12.289 * [backup-simplify]: Simplify (* n n) into (pow n 2) 12.289 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 12.289 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 12.289 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 12.289 * [taylor]: Taking taylor expansion of (pow f 2) in f 12.289 * [taylor]: Taking taylor expansion of f in f 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 1 into 1 12.289 * [backup-simplify]: Simplify (* 1 1) into 1 12.290 * [backup-simplify]: Simplify (/ 1 1) into 1 12.290 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 12.290 * [taylor]: Taking taylor expansion of (pow n 2) in f 12.290 * [taylor]: Taking taylor expansion of n in f 12.290 * [backup-simplify]: Simplify n into n 12.290 * [backup-simplify]: Simplify (* n n) into (pow n 2) 12.290 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 12.290 * [backup-simplify]: Simplify (+ 1 0) into 1 12.290 * [taylor]: Taking taylor expansion of 1 in n 12.290 * [backup-simplify]: Simplify 1 into 1 12.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.291 * [backup-simplify]: Simplify (+ 0 0) into 0 12.291 * [taylor]: Taking taylor expansion of 0 in n 12.291 * [backup-simplify]: Simplify 0 into 0 12.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.293 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 12.293 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 12.293 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 12.293 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.293 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.293 * [taylor]: Taking taylor expansion of n in n 12.293 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify 1 into 1 12.293 * [backup-simplify]: Simplify (* 1 1) into 1 12.293 * [backup-simplify]: Simplify (/ 1 1) into 1 12.294 * [backup-simplify]: Simplify (- 1) into -1 12.294 * [backup-simplify]: Simplify -1 into -1 12.294 * [backup-simplify]: Simplify 1 into 1 12.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.295 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 12.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 12.296 * [backup-simplify]: Simplify (- 0) into 0 12.296 * [backup-simplify]: Simplify (+ 0 0) into 0 12.296 * [taylor]: Taking taylor expansion of 0 in n 12.296 * [backup-simplify]: Simplify 0 into 0 12.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.297 * [backup-simplify]: Simplify (- 0) into 0 12.297 * [backup-simplify]: Simplify 0 into 0 12.297 * [backup-simplify]: Simplify 0 into 0 12.297 * [backup-simplify]: Simplify 0 into 0 12.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.299 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 12.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 12.299 * [backup-simplify]: Simplify (- 0) into 0 12.299 * [backup-simplify]: Simplify (+ 0 0) into 0 12.299 * [taylor]: Taking taylor expansion of 0 in n 12.299 * [backup-simplify]: Simplify 0 into 0 12.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.301 * [backup-simplify]: Simplify (- 0) into 0 12.301 * [backup-simplify]: Simplify 0 into 0 12.301 * [backup-simplify]: Simplify 0 into 0 12.301 * [backup-simplify]: Simplify 0 into 0 12.301 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- n))) 1) 2))) into (- (pow f 2) (pow n 2)) 12.301 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 12.301 * [backup-simplify]: Simplify (* (- f n) (- f n)) into (pow (- f n) 2) 12.301 * [approximate]: Taking taylor expansion of (pow (- f n) 2) in (f n) around 0 12.301 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 12.301 * [taylor]: Taking taylor expansion of (- f n) in n 12.301 * [taylor]: Taking taylor expansion of f in n 12.301 * [backup-simplify]: Simplify f into f 12.301 * [taylor]: Taking taylor expansion of n in n 12.301 * [backup-simplify]: Simplify 0 into 0 12.301 * [backup-simplify]: Simplify 1 into 1 12.302 * [backup-simplify]: Simplify (- 0) into 0 12.302 * [backup-simplify]: Simplify (+ f 0) into f 12.302 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 12.302 * [taylor]: Taking taylor expansion of (- f n) in f 12.302 * [taylor]: Taking taylor expansion of f in f 12.302 * [backup-simplify]: Simplify 0 into 0 12.302 * [backup-simplify]: Simplify 1 into 1 12.302 * [taylor]: Taking taylor expansion of n in f 12.302 * [backup-simplify]: Simplify n into n 12.302 * [backup-simplify]: Simplify (- n) into (- n) 12.302 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.302 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 12.302 * [taylor]: Taking taylor expansion of (- f n) in f 12.302 * [taylor]: Taking taylor expansion of f in f 12.302 * [backup-simplify]: Simplify 0 into 0 12.302 * [backup-simplify]: Simplify 1 into 1 12.302 * [taylor]: Taking taylor expansion of n in f 12.302 * [backup-simplify]: Simplify n into n 12.302 * [backup-simplify]: Simplify (- n) into (- n) 12.302 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.302 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 12.302 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.302 * [taylor]: Taking taylor expansion of n in n 12.302 * [backup-simplify]: Simplify 0 into 0 12.302 * [backup-simplify]: Simplify 1 into 1 12.303 * [backup-simplify]: Simplify (- 0) into 0 12.303 * [backup-simplify]: Simplify (+ 1 0) into 1 12.303 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 12.303 * [taylor]: Taking taylor expansion of (- (* 2 n)) in n 12.303 * [taylor]: Taking taylor expansion of (* 2 n) in n 12.303 * [taylor]: Taking taylor expansion of 2 in n 12.303 * [backup-simplify]: Simplify 2 into 2 12.303 * [taylor]: Taking taylor expansion of n in n 12.303 * [backup-simplify]: Simplify 0 into 0 12.303 * [backup-simplify]: Simplify 1 into 1 12.303 * [backup-simplify]: Simplify (* 2 0) into 0 12.304 * [backup-simplify]: Simplify (- 0) into 0 12.304 * [backup-simplify]: Simplify 0 into 0 12.304 * [backup-simplify]: Simplify (- 0) into 0 12.304 * [backup-simplify]: Simplify (+ 0 0) into 0 12.304 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 12.304 * [taylor]: Taking taylor expansion of 1 in n 12.304 * [backup-simplify]: Simplify 1 into 1 12.304 * [backup-simplify]: Simplify 1 into 1 12.305 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 12.305 * [backup-simplify]: Simplify (- 2) into -2 12.305 * [backup-simplify]: Simplify -2 into -2 12.305 * [backup-simplify]: Simplify (* 1 1) into 1 12.305 * [backup-simplify]: Simplify 1 into 1 12.306 * [backup-simplify]: Simplify (+ (* 1 (pow (* n 1) 2)) (+ (* -2 (* n f)) (* 1 (pow (* 1 f) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 12.306 * [backup-simplify]: Simplify (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (pow (- (/ 1 f) (/ 1 n)) 2) 12.306 * [approximate]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in (f n) around 0 12.306 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 12.306 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.306 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.306 * [taylor]: Taking taylor expansion of f in n 12.306 * [backup-simplify]: Simplify f into f 12.306 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.306 * [taylor]: Taking taylor expansion of (/ 1 n) 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 12.307 * [backup-simplify]: Simplify (/ 1 1) into 1 12.307 * [backup-simplify]: Simplify (- 1) into -1 12.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.307 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 12.307 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.307 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.307 * [taylor]: Taking taylor expansion of f in f 12.307 * [backup-simplify]: Simplify 0 into 0 12.307 * [backup-simplify]: Simplify 1 into 1 12.307 * [backup-simplify]: Simplify (/ 1 1) into 1 12.307 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.307 * [taylor]: Taking taylor expansion of n in f 12.308 * [backup-simplify]: Simplify n into n 12.308 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.308 * [backup-simplify]: Simplify (+ 1 0) into 1 12.308 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 12.308 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.308 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.308 * [taylor]: Taking taylor expansion of f in f 12.308 * [backup-simplify]: Simplify 0 into 0 12.308 * [backup-simplify]: Simplify 1 into 1 12.308 * [backup-simplify]: Simplify (/ 1 1) into 1 12.308 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.308 * [taylor]: Taking taylor expansion of n in f 12.308 * [backup-simplify]: Simplify n into n 12.308 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.309 * [backup-simplify]: Simplify (+ 1 0) into 1 12.309 * [backup-simplify]: Simplify (* 1 1) into 1 12.309 * [taylor]: Taking taylor expansion of 1 in n 12.309 * [backup-simplify]: Simplify 1 into 1 12.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.309 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.309 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.310 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 12.310 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.310 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.310 * [taylor]: Taking taylor expansion of 2 in n 12.310 * [backup-simplify]: Simplify 2 into 2 12.310 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.310 * [taylor]: Taking taylor expansion of n in n 12.310 * [backup-simplify]: Simplify 0 into 0 12.310 * [backup-simplify]: Simplify 1 into 1 12.310 * [backup-simplify]: Simplify (/ 1 1) into 1 12.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.311 * [backup-simplify]: Simplify (- 0) into 0 12.311 * [backup-simplify]: Simplify (+ 0 0) into 0 12.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 12.312 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.312 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.312 * [taylor]: Taking taylor expansion of n in n 12.312 * [backup-simplify]: Simplify 0 into 0 12.312 * [backup-simplify]: Simplify 1 into 1 12.312 * [backup-simplify]: Simplify (* 1 1) into 1 12.312 * [backup-simplify]: Simplify (/ 1 1) into 1 12.312 * [backup-simplify]: Simplify 1 into 1 12.313 * [backup-simplify]: Simplify (* 2 1) into 2 12.313 * [backup-simplify]: Simplify (- 2) into -2 12.313 * [backup-simplify]: Simplify -2 into -2 12.313 * [backup-simplify]: Simplify 1 into 1 12.313 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (+ (* -2 (* (/ 1 (/ 1 n)) (/ 1 (/ 1 f)))) (* 1 (pow (* (/ 1 (/ 1 n)) 1) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 12.314 * [backup-simplify]: Simplify (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (pow (- (/ 1 n) (/ 1 f)) 2) 12.314 * [approximate]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in (f n) around 0 12.314 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 12.314 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.314 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.314 * [taylor]: Taking taylor expansion of n in n 12.314 * [backup-simplify]: Simplify 0 into 0 12.314 * [backup-simplify]: Simplify 1 into 1 12.314 * [backup-simplify]: Simplify (/ 1 1) into 1 12.314 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.314 * [taylor]: Taking taylor expansion of f in n 12.314 * [backup-simplify]: Simplify f into f 12.314 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.314 * [backup-simplify]: Simplify (+ 1 0) into 1 12.314 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 12.314 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.314 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.314 * [taylor]: Taking taylor expansion of n in f 12.314 * [backup-simplify]: Simplify n into n 12.314 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.315 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.315 * [taylor]: Taking taylor expansion of f in f 12.315 * [backup-simplify]: Simplify 0 into 0 12.315 * [backup-simplify]: Simplify 1 into 1 12.315 * [backup-simplify]: Simplify (/ 1 1) into 1 12.315 * [backup-simplify]: Simplify (- 1) into -1 12.315 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.315 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 12.315 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.315 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.315 * [taylor]: Taking taylor expansion of n in f 12.315 * [backup-simplify]: Simplify n into n 12.315 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.315 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.315 * [taylor]: Taking taylor expansion of f in f 12.315 * [backup-simplify]: Simplify 0 into 0 12.316 * [backup-simplify]: Simplify 1 into 1 12.316 * [backup-simplify]: Simplify (/ 1 1) into 1 12.316 * [backup-simplify]: Simplify (- 1) into -1 12.316 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.317 * [backup-simplify]: Simplify (* -1 -1) into 1 12.317 * [taylor]: Taking taylor expansion of 1 in n 12.317 * [backup-simplify]: Simplify 1 into 1 12.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.317 * [backup-simplify]: Simplify (- 0) into 0 12.317 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.317 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 12.317 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.317 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.318 * [taylor]: Taking taylor expansion of 2 in n 12.318 * [backup-simplify]: Simplify 2 into 2 12.318 * [taylor]: Taking taylor expansion of (/ 1 n) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 12.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.319 * [backup-simplify]: Simplify (- 0) into 0 12.319 * [backup-simplify]: Simplify (+ 0 0) into 0 12.320 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 12.320 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.320 * [taylor]: Taking taylor expansion of (pow n 2) 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 12.320 * [backup-simplify]: Simplify (/ 1 1) into 1 12.320 * [backup-simplify]: Simplify 1 into 1 12.321 * [backup-simplify]: Simplify (* 2 1) into 2 12.321 * [backup-simplify]: Simplify (- 2) into -2 12.321 * [backup-simplify]: Simplify -2 into -2 12.321 * [backup-simplify]: Simplify 1 into 1 12.321 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (+ (* -2 (* (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- f))))) (* 1 (pow (* (/ 1 (/ 1 (- n))) 1) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 12.321 * * * [progress]: simplifying candidates 12.326 * [simplify]: Simplifying: (expm1 (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (log1p (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (- (log (- (- (* f f) (* n n)))) (+ (log (- f n)) (log (- f n)))) (- (log (- (- (* f f) (* n n)))) (log (* (- f n) (- f n)))) (log (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (exp (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (/ (* (* (- (- (* f f) (* n n))) (- (- (* f f) (* n n)))) (- (- (* f f) (* n n)))) (* (* (* (- f n) (- f n)) (- f n)) (* (* (- f n) (- f n)) (- f n)))) (/ (* (* (- (- (* f f) (* n n))) (- (- (* f f) (* n n)))) (- (- (* f f) (* n n)))) (* (* (* (- f n) (- f n)) (* (- f n) (- f n))) (* (- f n) (- f n)))) (* (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))))) (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (* (* (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))) (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (sqrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (sqrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (- (- (- (* f f) (* n n)))) (- (* (- f n) (- f n))) (/ 0 (* (- f n) (- f n))) (/ (- (* f f) (* n n)) (* (- f n) (- f n))) (/ (* (cbrt (- (- (* f f) (* n n)))) (cbrt (- (- (* f f) (* n n))))) (- f n)) (/ (cbrt (- (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (- (* f f) (* n n)))) (- f n)) (/ 1 (- f n)) (/ (- (- (* f f) (* n n))) (- f n)) (/ -1 (- f n)) (/ (- (* f f) (* n n)) (- f n)) (/ (- (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (- f n)) (/ (cbrt (- (* f f) (* n n))) (- f n)) (/ (- (sqrt (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (* f f) (* n n))) (- f n)) (/ (- 1) (- f n)) (/ (- (* f f) (* n n)) (- f n)) (/ (- (+ f n)) (- f n)) (/ (- f n) (- f n)) (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (- f n)) (/ (- (cbrt (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (* f f) (* n n))) (- f n)) (/ (- (sqrt (- (* f f) (* n n)))) (- f n)) (/ 1 (- f n)) (/ (- (- (* f f) (* n n))) (- f n)) (/ (+ f n) (- f n)) (/ (- (- f n)) (- f n)) (/ 1 (* (- f n) (- f n))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (- (* f f) (* n n)) (* (- f n) (- f n))) (/ (- (- (* f f) (* n n))) (- f n)) (/ (* (- f n) (- f n)) (cbrt (- (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (sqrt (- (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (* f f) (* n n))) (/ (* (- f n) (- f n)) (cbrt (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (sqrt (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (* f f) (* n n))) (/ (* (- f n) (- f n)) (- f n)) (/ (* (- f n) (- f n)) (- (cbrt (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (sqrt (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (- f n))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- f n))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- f n))) (* (* (- f n) (- f n)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n))))) (* (* (- f n) (- f n)) (+ (* f f) (* n n))) (fma f f (- (* n n))) (fma (- n) n (* n n)) (expm1 (- (* f f) (* n n))) (log1p (- (* f f) (* n n))) (- (* n n)) (/ (exp (* f f)) (exp (* n n))) (log (- (* f f) (* n n))) (exp (- (* f f) (* n n))) (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (cbrt (- (* f f) (* n n))) (* (* (- (* f f) (* n n)) (- (* f f) (* n n))) (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (- (pow (* f f) 3) (pow (* n n) 3)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n)))) (- (* n n)) (- (* (* f f) (* f f)) (* (* n n) (* n n))) (+ (* f f) (* n n)) (+ f n) (- f n) (- (* n n)) (expm1 (* (- f n) (- f n))) (log1p (* (- f n) (- f n))) (+ 1 1) (* (- f n) (- f n)) (+ 1 1) (+ (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))) (* (- (pow f 3) (pow n 3)) (- (pow f 3) (pow n 3))) (* (+ (* f f) (+ (* n n) (* f n))) (+ (* f f) (+ (* n n) (* f n)))) (* (- (pow f 3) (pow n 3)) (- (* f f) (* n n))) (* (+ (* f f) (+ (* n n) (* f n))) (+ f n)) (* (- (* f f) (* n n)) (- (pow f 3) (pow n 3))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (- (* f f) (* n n)) (- (* f f) (* n n))) (* (+ f n) (+ f n)) (* (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (- f n))) (* (sqrt (- f n)) (sqrt (- f n))) (* (sqrt (- f n)) (sqrt (- f n))) (* 1 1) (* (- f n) (- f n)) (* 1 1) (* (- f n) (- f n)) (* (+ (sqrt f) (sqrt n)) (+ (sqrt f) (sqrt n))) (* (- (sqrt f) (sqrt n)) (- (sqrt f) (sqrt n))) (* 1 1) (* (- f n) (- f n)) (* 1 1) (* (- f n) (- f n)) (* (sqrt (- f n)) (sqrt (- f n))) (* (sqrt (- f n)) (sqrt (- f n))) (* 2 1) (* (- f n) (fma (* (cbrt f) (cbrt f)) (cbrt f) (- (* (cbrt n) (* (cbrt n) (cbrt n)))))) (* (- f n) (fma (- (cbrt n)) (* (cbrt n) (cbrt n)) (* (cbrt n) (* (cbrt n) (cbrt n))))) (* (- f n) (fma (* (cbrt f) (cbrt f)) (cbrt f) (- (* (sqrt n) (sqrt n))))) (* (- f n) (fma (- (sqrt n)) (sqrt n) (* (sqrt n) (sqrt n)))) (* (- f n) (fma (* (cbrt f) (cbrt f)) (cbrt f) (- (* n 1)))) (* (- f n) (fma (- n) 1 (* n 1))) (* (- f n) (fma (sqrt f) (sqrt f) (- (* (cbrt n) (* (cbrt n) (cbrt n)))))) (* (- f n) (fma (- (cbrt n)) (* (cbrt n) (cbrt n)) (* (cbrt n) (* (cbrt n) (cbrt n))))) (* (- f n) (fma (sqrt f) (sqrt f) (- (* (sqrt n) (sqrt n))))) (* (- f n) (fma (- (sqrt n)) (sqrt n) (* (sqrt n) (sqrt n)))) (* (- f n) (fma (sqrt f) (sqrt f) (- (* n 1)))) (* (- f n) (fma (- n) 1 (* n 1))) (* (- f n) (fma 1 f (- (* (cbrt n) (* (cbrt n) (cbrt n)))))) (* (- f n) (fma (- (cbrt n)) (* (cbrt n) (cbrt n)) (* (cbrt n) (* (cbrt n) (cbrt n))))) (* (- f n) (fma 1 f (- (* (sqrt n) (sqrt n))))) (* (- f n) (fma (- (sqrt n)) (sqrt n) (* (sqrt n) (sqrt n)))) (* (- f n) (fma 1 f (- (* n 1)))) (* (- f n) (fma (- n) 1 (* n 1))) (* (- f n) f) (* (- f n) (- n)) (* (- f n) f) (* (- f n) (- n)) (* (fma (* (cbrt f) (cbrt f)) (cbrt f) (- (* (cbrt n) (* (cbrt n) (cbrt n))))) (- f n)) (* (fma (- (cbrt n)) (* (cbrt n) (cbrt n)) (* (cbrt n) (* (cbrt n) (cbrt n)))) (- f n)) (* (fma (* (cbrt f) (cbrt f)) (cbrt f) (- (* (sqrt n) (sqrt n)))) (- f n)) (* (fma (- (sqrt n)) (sqrt n) (* (sqrt n) (sqrt n))) (- f n)) (* (fma (* (cbrt f) (cbrt f)) (cbrt f) (- (* n 1))) (- f n)) (* (fma (- n) 1 (* n 1)) (- f n)) (* (fma (sqrt f) (sqrt f) (- (* (cbrt n) (* (cbrt n) (cbrt n))))) (- f n)) (* (fma (- (cbrt n)) (* (cbrt n) (cbrt n)) (* (cbrt n) (* (cbrt n) (cbrt n)))) (- f n)) (* (fma (sqrt f) (sqrt f) (- (* (sqrt n) (sqrt n)))) (- f n)) (* (fma (- (sqrt n)) (sqrt n) (* (sqrt n) (sqrt n))) (- f n)) (* (fma (sqrt f) (sqrt f) (- (* n 1))) (- f n)) (* (fma (- n) 1 (* n 1)) (- f n)) (* (fma 1 f (- (* (cbrt n) (* (cbrt n) (cbrt n))))) (- f n)) (* (fma (- (cbrt n)) (* (cbrt n) (cbrt n)) (* (cbrt n) (* (cbrt n) (cbrt n)))) (- f n)) (* (fma 1 f (- (* (sqrt n) (sqrt n)))) (- f n)) (* (fma (- (sqrt n)) (sqrt n) (* (sqrt n) (sqrt n))) (- f n)) (* (fma 1 f (- (* n 1))) (- f n)) (* (fma (- n) 1 (* n 1)) (- f n)) (* f (- f n)) (* (- n) (- f n)) (* f (- f n)) (* (- 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) (* (cbrt (- f n)) (- f n)) (* (sqrt (- f n)) (- f n)) (* (- f n) (- f n)) (* (- (sqrt f) (sqrt n)) (- f n)) (* (- f n) (- f n)) (* (- f n) (- (pow f 3) (pow n 3))) (* (- f n) (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- f n)) (* (- (* f f) (* n n)) (- f n)) 1 -1 -1 (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 12.332 * * [simplify]: iteration 0: 219 enodes 12.451 * * [simplify]: iteration 1: 622 enodes 12.828 * * [simplify]: iteration 2: 1970 enodes 13.440 * * [simplify]: iteration complete: 5003 enodes 13.440 * * [simplify]: Extracting #0: cost 94 inf + 0 13.442 * * [simplify]: Extracting #1: cost 920 inf + 4 13.449 * * [simplify]: Extracting #2: cost 1496 inf + 7312 13.477 * * [simplify]: Extracting #3: cost 1030 inf + 142690 13.577 * * [simplify]: Extracting #4: cost 78 inf + 382594 13.729 * * [simplify]: Extracting #5: cost 3 inf + 405832 13.869 * * [simplify]: Extracting #6: cost 0 inf + 407319 13.970 * [simplify]: Simplified to: (expm1 (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (log1p (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (log (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (log (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (log (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (exp (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (- (* (* (/ (* (+ n f) (- f n)) (* (- f n) (- f n))) (/ (* (+ n f) (- f n)) (* (- f n) (- f n)))) (/ (* (+ n f) (- f n)) (* (- f n) (- f n))))) (- (* (* (/ (* (+ n f) (- f n)) (* (- f n) (- f n))) (/ (* (+ n f) (- f n)) (* (- f n) (- f n)))) (/ (* (+ n f) (- f n)) (* (- f n) (- f n))))) (* (cbrt (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (cbrt (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n))))) (cbrt (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (- (* (* (/ (* (+ n f) (- f n)) (* (- f n) (- f n))) (/ (* (+ n f) (- f n)) (* (- f n) (- f n)))) (/ (* (+ n f) (- f n)) (* (- f n) (- f n))))) (sqrt (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (sqrt (* (/ (- (+ n f)) (- f n)) (/ (- f n) (- f n)))) (* (+ n f) (- f n)) (* (- (- f n)) (- f n)) 0 (/ (* (+ n f) (- f n)) (* (- f n) (- f n))) (* (/ (cbrt (- (* (+ n f) (- f n)))) (- f n)) (cbrt (- (* (+ n f) (- f n))))) (/ (cbrt (- (* (+ n f) (- f n)))) (- f n)) (/ (sqrt (- (* (+ n f) (- f n)))) (- f n)) (/ (sqrt (- (* (+ n f) (- f n)))) (- f n)) (/ 1 (- f n)) (- (/ (* (+ n f) (- f n)) (- f n))) (/ -1 (- f n)) (/ (* (+ n f) (- f n)) (- f n)) (/ (- (* (cbrt (* (+ n f) (- f n))) (cbrt (* (+ n f) (- f n))))) (- f n)) (/ (cbrt (* (+ n f) (- f n))) (- f n)) (/ (- (sqrt (* (+ n f) (- f n)))) (- f n)) (/ (sqrt (* (+ n f) (- f n))) (- f n)) (/ -1 (- f n)) (/ (* (+ n f) (- f n)) (- f n)) (- (/ (+ n f) (- f n))) 1 (/ (cbrt (* (+ n f) (- f n))) (/ (- f n) (cbrt (* (+ n f) (- f n))))) (/ (- (cbrt (* (+ n f) (- f n)))) (- f n)) (/ (sqrt (* (+ n f) (- f n))) (- f n)) (/ (- (sqrt (* (+ n f) (- f n)))) (- f n)) (/ 1 (- f n)) (- (/ (* (+ n f) (- f n)) (- f n))) (/ (+ n f) (- f n)) -1 (/ 1 (* (- f n) (- f n))) (/ (* (- f n) (- f n)) (- (* (+ n f) (- f n)))) (/ (* (+ n f) (- f n)) (* (- f n) (- f n))) (- (/ (* (+ n f) (- f n)) (- f n))) (/ (- f n) (/ (cbrt (- (* (+ n f) (- f n)))) (- f n))) (/ (- f n) (/ (sqrt (- (* (+ n f) (- f n)))) (- f n))) (/ (* (- f n) (- f n)) (- (* (+ n f) (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (- f n))) (/ (- f n) (/ (cbrt (* (+ n f) (- f n))) (- f n))) (/ (* (- f n) (- f n)) (sqrt (* (+ n f) (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (- f n))) (/ (- f n) 1) (/ (* (- f n) (- f n)) (- (cbrt (* (+ n f) (- f n))))) (/ (- f n) (/ (- (sqrt (* (+ n f) (- f n)))) (- f n))) (/ (* (- f n) (- f n)) (- (* (+ n f) (- f n)))) (/ (* (- f n) (- f n)) (- (- f n))) (- (- (/ (* f f) (* (- (* f (* f f)) (* (* n n) n)) (- (* f (* f f)) (* (* n n) n)))) (/ (* n n) (* (- (* f (* f f)) (* (* n n) n)) (- (* f (* f f)) (* (* n n) n)))))) (- (/ (/ (* (+ n f) (- f n)) (* (+ n f) (- f n))) (- (* f (* f f)) (* (* n n) n)))) (- (/ (/ (* (+ n f) (- f n)) (* (+ n f) (- f n))) (- (* f (* f f)) (* (* n n) n)))) (/ (- (* (+ n f) (- f n))) (* (* (+ n f) (- f n)) (* (+ n f) (- f n)))) (/ (- (* (+ n f) (- f n))) (* (- (* f (* f f)) (* (* n n) n)) (- f n))) (- (/ (* (+ n f) (- f n)) (* (- f n) (* (+ n f) (- f n))))) (/ (- (* (+ n f) (- f n))) (* (- (* f (* f f)) (* (* n n) n)) (- f n))) (- (/ (* (+ n f) (- f n)) (* (- f n) (* (+ n f) (- f n))))) (* (fma (* n n) (fma f f (* n n)) (* (* f f) (* f f))) (* (- f n) (- f n))) (* (* (- f n) (- f n)) (fma f f (* n n))) (* (+ n f) (- f n)) (fma n (- n) (* n n)) (expm1 (* (+ n f) (- f n))) (log1p (* (+ n f) (- f n))) (* n (- n)) (exp (- (* f f) (* n n))) (log (* (+ n f) (- f n))) (exp (- (* f f) (* n 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))) (- (* (* f f) (* (* f f) (* f f))) (* (* (* n n) (* n n)) (* n n))) (fma (* n n) (fma f f (* n n)) (* (* f f) (* f f))) (* n (- n)) (- (* (* f f) (* f f)) (* (* n n) (* n n))) (fma f f (* n n)) (+ n f) (- f n) (* n (- n)) (expm1 (* (- f n) (- f n))) (log1p (* (- f n) (- f n))) 2 (* (- f n) (- f n)) 2 (log (* (- f n) (- f n))) (log (* (- f n) (- f n))) (exp (* (- f n) (- f n))) (* (* (- f n) (* (- f n) (- f n))) (* (- f n) (* (- f n) (- f n)))) (* (cbrt (* (- f n) (- f n))) (cbrt (* (- f n) (- f n)))) (cbrt (* (- f n) (- f n))) (* (* (- f n) (* (- f n) (- f n))) (* (- f n) (* (- f n) (- f n)))) (fabs (- f n)) (fabs (- f n)) (* (- (* f (* f f)) (* (* n n) n)) (- (* f (* f f)) (* (* n n) n))) (* (fma n (+ n f) (* f f)) (fma n (+ n f) (* f f))) (* (* (+ n f) (- f n)) (- (* f (* f f)) (* (* n n) n))) (* (fma n (+ n f) (* f f)) (+ n f)) (* (* (+ n f) (- f n)) (- (* f (* f f)) (* (* n n) n))) (* (fma n (+ n f) (* f f)) (+ n f)) (* (* (+ n f) (- f n)) (* (+ n f) (- f n))) (* (+ n f) (+ n f)) (* (cbrt (- f n)) (- f n)) (* (cbrt (- f n)) (cbrt (- f n))) (- f n) (- f n) 1 (* (- f n) (- f n)) 1 (* (- f n) (- f n)) (* (+ (sqrt n) (sqrt f)) (+ (sqrt n) (sqrt f))) (* (- (sqrt f) (sqrt n)) (- (sqrt f) (sqrt n))) 1 (* (- f n) (- f n)) 1 (* (- f n) (- f n)) (- f n) (- f n) 2 (* (- (* (* (cbrt f) (cbrt f)) (cbrt f)) n) (- f n)) (* (- f n) (fma n -1 n)) (* (- (* (* (cbrt f) (cbrt f)) (cbrt f)) n) (- f n)) (* (- f n) (fma n -1 n)) (* (- (* (* (cbrt f) (cbrt f)) (cbrt f)) n) (- f n)) (* (- f n) (fma n -1 n)) (* (- f n) (- f n)) (* (- f n) (fma n -1 n)) (* (- f n) (- f n)) (* (- f n) (fma n -1 n)) (* (- f n) (- f n)) (* (- f n) (fma n -1 n)) (* (- f n) (- f n)) (* (- f n) (fma n -1 n)) (* (- f n) (- f n)) (* (- f n) (fma n -1 n)) (* (- f n) (- f n)) (* (- f n) (fma n -1 n)) (* (- f n) f) (- (* n (- f n))) (* (- f n) f) (- (* n (- f n))) (* (- (* (* (cbrt f) (cbrt f)) (cbrt f)) n) (- f n)) (* (- f n) (fma n -1 n)) (* (- (* (* (cbrt f) (cbrt f)) (cbrt f)) n) (- f n)) (* (- f n) (fma n -1 n)) (* (- (* (* (cbrt f) (cbrt f)) (cbrt f)) n) (- f n)) (* (- f n) (fma n -1 n)) (* (- f n) (- f n)) (* (- f n) (fma n -1 n)) (* (- f n) (- f n)) (* (- f n) (fma n -1 n)) (* (- f n) (- f n)) (* (- f n) (fma n -1 n)) (* (- f n) (- f n)) (* (- f n) (fma n -1 n)) (* (- f n) (- f n)) (* (- f n) (fma n -1 n)) (* (- f n) (- f n)) (* (- f n) (fma n -1 n)) (* (- f n) f) (- (* n (- f n))) (* (- f n) f) (- (* n (- f n))) (* (* (cbrt (- f n)) (cbrt (- f n))) (- f n)) (* (sqrt (- f n)) (- f n)) (- f n) (* (- f n) (+ (sqrt n) (sqrt f))) (- 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)) (* (- (* f (* f f)) (* (* n n) n)) (- f n)) (* (- f n) (* (+ n f) (- f n))) (* (- (* f (* f f)) (* (* n n) n)) (- f n)) (* (- f n) (* (+ n f) (- f n))) 1 -1 -1 (* (+ n f) (- f n)) (* (+ n f) (- f n)) (* (+ n f) (- f n)) (fma -2 (* f n) (fma f f (* n n))) (fma -2 (* f n) (fma f f (* n n))) (fma -2 (* f n) (fma f f (* n n))) 13.980 * * * [progress]: adding candidates to table 14.455 * [progress]: [Phase 3 of 3] Extracting. 14.455 * * [regime]: Finding splitpoints for: (# #) 14.467 * * * [regime-changes]: Trying 2 branch expressions: (n f) 14.468 * * * * [regimes]: Trying to branch on n from (# #) 14.495 * * * * [regimes]: Trying to branch on f from (# #) 14.534 * * * [regime]: Found split indices: #