0.966 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.157 * * * [progress]: [2/2] Setting up program. 0.165 * [progress]: [Phase 2 of 3] Improving. 0.170 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.262 * * [progress]: iteration 1 / 4 0.262 * * * [progress]: picking best candidate 0.266 * * * * [pick]: Picked # 0.266 * * * [progress]: localizing error 0.284 * * * [progress]: generating rewritten candidates 0.284 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.375 * * * [progress]: generating series expansions 0.375 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.381 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.381 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.382 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.382 * [taylor]: Taking taylor expansion of -1 in n 0.382 * [backup-simplify]: Simplify -1 into -1 0.382 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.382 * [taylor]: Taking taylor expansion of (+ n f) in n 0.382 * [taylor]: Taking taylor expansion of n in n 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [taylor]: Taking taylor expansion of f in n 0.382 * [backup-simplify]: Simplify f into f 0.382 * [taylor]: Taking taylor expansion of (- f n) in n 0.382 * [taylor]: Taking taylor expansion of f in n 0.382 * [backup-simplify]: Simplify f into f 0.382 * [taylor]: Taking taylor expansion of n in n 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (+ 0 f) into f 0.383 * [backup-simplify]: Simplify (- 0) into 0 0.383 * [backup-simplify]: Simplify (+ f 0) into f 0.383 * [backup-simplify]: Simplify (/ f f) into 1 0.383 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.383 * [taylor]: Taking taylor expansion of -1 in f 0.383 * [backup-simplify]: Simplify -1 into -1 0.383 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.384 * [taylor]: Taking taylor expansion of (+ n f) in f 0.384 * [taylor]: Taking taylor expansion of n in f 0.384 * [backup-simplify]: Simplify n into n 0.384 * [taylor]: Taking taylor expansion of f in f 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of (- f n) in f 0.384 * [taylor]: Taking taylor expansion of f in f 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of n in f 0.384 * [backup-simplify]: Simplify n into n 0.384 * [backup-simplify]: Simplify (+ n 0) into n 0.384 * [backup-simplify]: Simplify (- n) into (- n) 0.384 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.384 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.384 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.384 * [taylor]: Taking taylor expansion of -1 in f 0.384 * [backup-simplify]: Simplify -1 into -1 0.384 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.384 * [taylor]: Taking taylor expansion of (+ n f) in f 0.384 * [taylor]: Taking taylor expansion of n in f 0.384 * [backup-simplify]: Simplify n into n 0.384 * [taylor]: Taking taylor expansion of f in f 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of (- f n) in f 0.384 * [taylor]: Taking taylor expansion of f in f 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of n in f 0.384 * [backup-simplify]: Simplify n into n 0.384 * [backup-simplify]: Simplify (+ n 0) into n 0.384 * [backup-simplify]: Simplify (- n) into (- n) 0.384 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.384 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.385 * [backup-simplify]: Simplify (* -1 -1) into 1 0.385 * [taylor]: Taking taylor expansion of 1 in n 0.385 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (+ 0 1) into 1 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.387 * [backup-simplify]: Simplify (+ 1 0) into 1 0.387 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.387 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.387 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.388 * [taylor]: Taking taylor expansion of 2 in n 0.388 * [backup-simplify]: Simplify 2 into 2 0.388 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.388 * [taylor]: Taking taylor expansion of n in n 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.391 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.391 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.391 * [taylor]: Taking taylor expansion of 2 in n 0.391 * [backup-simplify]: Simplify 2 into 2 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.391 * [taylor]: Taking taylor expansion of (pow n 2) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (- 0) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [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)))) 0.398 * [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))) 0.398 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.398 * [taylor]: Taking taylor expansion of 2 in n 0.398 * [backup-simplify]: Simplify 2 into 2 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.398 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.398 * [taylor]: Taking taylor expansion of n in n 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (* 1 1) into 1 0.399 * [backup-simplify]: Simplify (* 1 1) into 1 0.399 * [backup-simplify]: Simplify (/ 1 1) into 1 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.407 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.407 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.407 * [taylor]: Taking taylor expansion of -1 in n 0.407 * [backup-simplify]: Simplify -1 into -1 0.407 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.407 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.407 * [taylor]: Taking taylor expansion of f in n 0.407 * [backup-simplify]: Simplify f into f 0.407 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.407 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.407 * [taylor]: Taking taylor expansion of n in n 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (/ 1 1) into 1 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.408 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.408 * [taylor]: Taking taylor expansion of f in n 0.408 * [backup-simplify]: Simplify f into f 0.408 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.408 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.408 * [taylor]: Taking taylor expansion of n in n 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [backup-simplify]: Simplify (+ 0 1) into 1 0.409 * [backup-simplify]: Simplify (- 1) into -1 0.409 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.409 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.409 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.409 * [taylor]: Taking taylor expansion of -1 in f 0.409 * [backup-simplify]: Simplify -1 into -1 0.409 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.409 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.409 * [taylor]: Taking taylor expansion of f in f 0.409 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.410 * [taylor]: Taking taylor expansion of n in f 0.410 * [backup-simplify]: Simplify n into n 0.410 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.410 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.410 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.410 * [taylor]: Taking taylor expansion of f in f 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.410 * [taylor]: Taking taylor expansion of n in f 0.410 * [backup-simplify]: Simplify n into n 0.410 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.411 * [backup-simplify]: Simplify (+ 1 0) into 1 0.411 * [backup-simplify]: Simplify (+ 1 0) into 1 0.411 * [backup-simplify]: Simplify (/ 1 1) into 1 0.411 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.411 * [taylor]: Taking taylor expansion of -1 in f 0.411 * [backup-simplify]: Simplify -1 into -1 0.411 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.411 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.411 * [taylor]: Taking taylor expansion of f in f 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.412 * [taylor]: Taking taylor expansion of n in f 0.412 * [backup-simplify]: Simplify n into n 0.412 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.412 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.412 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.412 * [taylor]: Taking taylor expansion of f in f 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.412 * [taylor]: Taking taylor expansion of n in f 0.412 * [backup-simplify]: Simplify n into n 0.412 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.412 * [backup-simplify]: Simplify (+ 1 0) into 1 0.413 * [backup-simplify]: Simplify (+ 1 0) into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [backup-simplify]: Simplify (* -1 1) into -1 0.413 * [taylor]: Taking taylor expansion of -1 in n 0.413 * [backup-simplify]: Simplify -1 into -1 0.413 * [backup-simplify]: Simplify -1 into -1 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.414 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.415 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.415 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.415 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.415 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.415 * [taylor]: Taking taylor expansion of 2 in n 0.415 * [backup-simplify]: Simplify 2 into 2 0.415 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.415 * [taylor]: Taking taylor expansion of n in n 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ (* 2 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 into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.420 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.422 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.422 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.422 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.422 * [taylor]: Taking taylor expansion of 2 in n 0.422 * [backup-simplify]: Simplify 2 into 2 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.422 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.422 * [taylor]: Taking taylor expansion of n in n 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.428 * [backup-simplify]: Simplify (- 0) into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.430 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [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))) 0.441 * [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)))) 0.441 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.441 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.441 * [taylor]: Taking taylor expansion of 2 in n 0.441 * [backup-simplify]: Simplify 2 into 2 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.441 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.441 * [taylor]: Taking taylor expansion of n in n 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- 0) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify -1 into -1 0.448 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.448 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.448 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.448 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.448 * [taylor]: Taking taylor expansion of f in n 0.448 * [backup-simplify]: Simplify f into f 0.448 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 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 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.449 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.449 * [taylor]: Taking taylor expansion of n in n 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.449 * [taylor]: Taking taylor expansion of f in n 0.449 * [backup-simplify]: Simplify f into f 0.449 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.449 * [backup-simplify]: Simplify (+ 0 1) into 1 0.450 * [backup-simplify]: Simplify (+ 1 0) into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.450 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.450 * [taylor]: Taking taylor expansion of f in f 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.450 * [taylor]: Taking taylor expansion of n in f 0.450 * [backup-simplify]: Simplify n into n 0.450 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.450 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.450 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.450 * [taylor]: Taking taylor expansion of n in f 0.451 * [backup-simplify]: Simplify n into n 0.451 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.451 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.451 * [taylor]: Taking taylor expansion of f in f 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [backup-simplify]: Simplify (+ 1 0) into 1 0.451 * [backup-simplify]: Simplify (- 1) into -1 0.452 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.452 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.452 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.452 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.452 * [taylor]: Taking taylor expansion of f in f 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.452 * [taylor]: Taking taylor expansion of n in f 0.452 * [backup-simplify]: Simplify n into n 0.452 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.452 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.452 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.452 * [taylor]: Taking taylor expansion of n in f 0.452 * [backup-simplify]: Simplify n into n 0.452 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.452 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.452 * [taylor]: Taking taylor expansion of f in f 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [backup-simplify]: Simplify (+ 1 0) into 1 0.453 * [backup-simplify]: Simplify (- 1) into -1 0.453 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.454 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.454 * [taylor]: Taking taylor expansion of -1 in n 0.454 * [backup-simplify]: Simplify -1 into -1 0.454 * [backup-simplify]: Simplify -1 into -1 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.455 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.455 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.455 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.455 * [taylor]: Taking taylor expansion of 2 in n 0.455 * [backup-simplify]: Simplify 2 into 2 0.455 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.455 * [taylor]: Taking taylor expansion of n in n 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.459 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.459 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.459 * [taylor]: Taking taylor expansion of 2 in n 0.459 * [backup-simplify]: Simplify 2 into 2 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.459 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.460 * [taylor]: Taking taylor expansion of n in n 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (* 1 1) into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.465 * [backup-simplify]: Simplify (- 0) into 0 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (- 0) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [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)))) 0.468 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.468 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.468 * [taylor]: Taking taylor expansion of 2 in n 0.468 * [backup-simplify]: Simplify 2 into 2 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.468 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.468 * [taylor]: Taking taylor expansion of n in n 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (- 0) into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify -1 into -1 0.474 * * * [progress]: simplifying candidates 0.476 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 1.582 * * * [progress]: adding candidates to table 1.771 * * [progress]: iteration 2 / 4 1.771 * * * [progress]: picking best candidate 1.792 * * * * [pick]: Picked # 1.792 * * * [progress]: localizing error 1.814 * * * [progress]: generating rewritten candidates 1.815 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.857 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.981 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.140 * * * [progress]: generating series expansions 2.141 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 2.141 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 2.141 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.141 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.141 * [taylor]: Taking taylor expansion of -1 in n 2.141 * [backup-simplify]: Simplify -1 into -1 2.141 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.141 * [taylor]: Taking taylor expansion of (+ n f) in n 2.141 * [taylor]: Taking taylor expansion of n in n 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [taylor]: Taking taylor expansion of f in n 2.141 * [backup-simplify]: Simplify f into f 2.141 * [taylor]: Taking taylor expansion of (- f n) in n 2.141 * [taylor]: Taking taylor expansion of f in n 2.141 * [backup-simplify]: Simplify f into f 2.141 * [taylor]: Taking taylor expansion of n in n 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (+ 0 f) into f 2.142 * [backup-simplify]: Simplify (- 0) into 0 2.142 * [backup-simplify]: Simplify (+ f 0) into f 2.142 * [backup-simplify]: Simplify (/ f f) into 1 2.142 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.142 * [taylor]: Taking taylor expansion of -1 in f 2.142 * [backup-simplify]: Simplify -1 into -1 2.142 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.142 * [taylor]: Taking taylor expansion of (+ n f) in f 2.142 * [taylor]: Taking taylor expansion of n in f 2.142 * [backup-simplify]: Simplify n into n 2.143 * [taylor]: Taking taylor expansion of f in f 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.143 * [taylor]: Taking taylor expansion of (- f n) in f 2.143 * [taylor]: Taking taylor expansion of f in f 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.143 * [taylor]: Taking taylor expansion of n in f 2.143 * [backup-simplify]: Simplify n into n 2.143 * [backup-simplify]: Simplify (+ n 0) into n 2.143 * [backup-simplify]: Simplify (- n) into (- n) 2.143 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.143 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.143 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.143 * [taylor]: Taking taylor expansion of -1 in f 2.143 * [backup-simplify]: Simplify -1 into -1 2.143 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.143 * [taylor]: Taking taylor expansion of (+ n f) in f 2.143 * [taylor]: Taking taylor expansion of n in f 2.143 * [backup-simplify]: Simplify n into n 2.143 * [taylor]: Taking taylor expansion of f in f 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.143 * [taylor]: Taking taylor expansion of (- f n) in f 2.143 * [taylor]: Taking taylor expansion of f in f 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.143 * [taylor]: Taking taylor expansion of n in f 2.143 * [backup-simplify]: Simplify n into n 2.144 * [backup-simplify]: Simplify (+ n 0) into n 2.144 * [backup-simplify]: Simplify (- n) into (- n) 2.144 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.144 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.144 * [backup-simplify]: Simplify (* -1 -1) into 1 2.144 * [taylor]: Taking taylor expansion of 1 in n 2.144 * [backup-simplify]: Simplify 1 into 1 2.144 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (+ 0 1) into 1 2.145 * [backup-simplify]: Simplify (- 0) into 0 2.145 * [backup-simplify]: Simplify (+ 1 0) into 1 2.146 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.146 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.146 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.146 * [taylor]: Taking taylor expansion of 2 in n 2.146 * [backup-simplify]: Simplify 2 into 2 2.146 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.146 * [taylor]: Taking taylor expansion of n in n 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (/ 1 1) into 1 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify (+ 0 0) into 0 2.149 * [backup-simplify]: Simplify (- 0) into 0 2.150 * [backup-simplify]: Simplify (+ 0 0) into 0 2.150 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.151 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.151 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.151 * [taylor]: Taking taylor expansion of 2 in n 2.151 * [backup-simplify]: Simplify 2 into 2 2.151 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.151 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.151 * [taylor]: Taking taylor expansion of n in n 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 1 into 1 2.151 * [backup-simplify]: Simplify (* 1 1) into 1 2.152 * [backup-simplify]: Simplify (/ 1 1) into 1 2.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.156 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.157 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (+ 0 0) into 0 2.158 * [backup-simplify]: Simplify (- 0) into 0 2.158 * [backup-simplify]: Simplify (+ 0 0) into 0 2.158 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.159 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.159 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.159 * [taylor]: Taking taylor expansion of 2 in n 2.159 * [backup-simplify]: Simplify 2 into 2 2.159 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.159 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.159 * [taylor]: Taking taylor expansion of n in n 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 1 into 1 2.159 * [backup-simplify]: Simplify (* 1 1) into 1 2.160 * [backup-simplify]: Simplify (* 1 1) into 1 2.160 * [backup-simplify]: Simplify (/ 1 1) into 1 2.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.165 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.165 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.165 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.165 * [taylor]: Taking taylor expansion of -1 in n 2.165 * [backup-simplify]: Simplify -1 into -1 2.165 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.165 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.165 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.165 * [taylor]: Taking taylor expansion of f in n 2.165 * [backup-simplify]: Simplify f into f 2.165 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.165 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.165 * [taylor]: Taking taylor expansion of n in n 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [backup-simplify]: Simplify (/ 1 1) into 1 2.165 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.165 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.165 * [taylor]: Taking taylor expansion of f in n 2.165 * [backup-simplify]: Simplify f into f 2.165 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.165 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.165 * [taylor]: Taking taylor expansion of n in n 2.165 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify (/ 1 1) into 1 2.166 * [backup-simplify]: Simplify (+ 0 1) into 1 2.166 * [backup-simplify]: Simplify (- 1) into -1 2.166 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.167 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.167 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.167 * [taylor]: Taking taylor expansion of -1 in f 2.167 * [backup-simplify]: Simplify -1 into -1 2.167 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.167 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.167 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.167 * [taylor]: Taking taylor expansion of f in f 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.167 * [backup-simplify]: Simplify (/ 1 1) into 1 2.167 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.167 * [taylor]: Taking taylor expansion of n in f 2.167 * [backup-simplify]: Simplify n into n 2.167 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.167 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.167 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.167 * [taylor]: Taking taylor expansion of f in f 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.167 * [backup-simplify]: Simplify (/ 1 1) into 1 2.168 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.168 * [taylor]: Taking taylor expansion of n in f 2.168 * [backup-simplify]: Simplify n into n 2.168 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.168 * [backup-simplify]: Simplify (+ 1 0) into 1 2.168 * [backup-simplify]: Simplify (+ 1 0) into 1 2.168 * [backup-simplify]: Simplify (/ 1 1) into 1 2.168 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.168 * [taylor]: Taking taylor expansion of -1 in f 2.168 * [backup-simplify]: Simplify -1 into -1 2.168 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.168 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.168 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.168 * [taylor]: Taking taylor expansion of f in f 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (/ 1 1) into 1 2.169 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.169 * [taylor]: Taking taylor expansion of n in f 2.169 * [backup-simplify]: Simplify n into n 2.169 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.169 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.169 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.169 * [taylor]: Taking taylor expansion of f in f 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (/ 1 1) into 1 2.169 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.169 * [taylor]: Taking taylor expansion of n in f 2.169 * [backup-simplify]: Simplify n into n 2.169 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.169 * [backup-simplify]: Simplify (+ 1 0) into 1 2.170 * [backup-simplify]: Simplify (+ 1 0) into 1 2.170 * [backup-simplify]: Simplify (/ 1 1) into 1 2.170 * [backup-simplify]: Simplify (* -1 1) into -1 2.170 * [taylor]: Taking taylor expansion of -1 in n 2.170 * [backup-simplify]: Simplify -1 into -1 2.170 * [backup-simplify]: Simplify -1 into -1 2.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.171 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.171 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.171 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.171 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.172 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.172 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.172 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.172 * [taylor]: Taking taylor expansion of 2 in n 2.172 * [backup-simplify]: Simplify 2 into 2 2.172 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.172 * [taylor]: Taking taylor expansion of n in n 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 1 into 1 2.172 * [backup-simplify]: Simplify (/ 1 1) into 1 2.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.173 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.173 * [backup-simplify]: Simplify (- 0) into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.174 * [backup-simplify]: Simplify (+ 0 0) into 0 2.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.175 * [backup-simplify]: Simplify (- 0) into 0 2.175 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.176 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.176 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.176 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.176 * [taylor]: Taking taylor expansion of 2 in n 2.176 * [backup-simplify]: Simplify 2 into 2 2.176 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.176 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.177 * [taylor]: Taking taylor expansion of n in n 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (* 1 1) into 1 2.177 * [backup-simplify]: Simplify (/ 1 1) into 1 2.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.179 * [backup-simplify]: Simplify (- 0) into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.181 * [backup-simplify]: Simplify (- 0) into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.182 * [backup-simplify]: Simplify (+ 0 0) into 0 2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.182 * [backup-simplify]: Simplify (- 0) into 0 2.183 * [backup-simplify]: Simplify (+ 0 0) into 0 2.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 2.184 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.184 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.184 * [taylor]: Taking taylor expansion of 2 in n 2.184 * [backup-simplify]: Simplify 2 into 2 2.184 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.184 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.184 * [taylor]: Taking taylor expansion of n in n 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 1 into 1 2.185 * [backup-simplify]: Simplify (* 1 1) into 1 2.185 * [backup-simplify]: Simplify (* 1 1) into 1 2.185 * [backup-simplify]: Simplify (/ 1 1) into 1 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.190 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.190 * [backup-simplify]: Simplify (- 0) into 0 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify -1 into -1 2.190 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.190 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.190 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.190 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.190 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.190 * [taylor]: Taking taylor expansion of f in n 2.190 * [backup-simplify]: Simplify f into f 2.190 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.190 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.190 * [taylor]: Taking taylor expansion of n in n 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify 1 into 1 2.191 * [backup-simplify]: Simplify (/ 1 1) into 1 2.191 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.191 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.191 * [taylor]: Taking taylor expansion of n in n 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify 1 into 1 2.191 * [backup-simplify]: Simplify (/ 1 1) into 1 2.191 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.191 * [taylor]: Taking taylor expansion of f in n 2.191 * [backup-simplify]: Simplify f into f 2.191 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.191 * [backup-simplify]: Simplify (+ 0 1) into 1 2.192 * [backup-simplify]: Simplify (+ 1 0) into 1 2.192 * [backup-simplify]: Simplify (/ 1 1) into 1 2.192 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.192 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.192 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.192 * [taylor]: Taking taylor expansion of f in f 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [backup-simplify]: Simplify (/ 1 1) into 1 2.192 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.192 * [taylor]: Taking taylor expansion of n in f 2.192 * [backup-simplify]: Simplify n into n 2.192 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.192 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.192 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.192 * [taylor]: Taking taylor expansion of n in f 2.192 * [backup-simplify]: Simplify n into n 2.192 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.192 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.192 * [taylor]: Taking taylor expansion of f in f 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (/ 1 1) into 1 2.193 * [backup-simplify]: Simplify (+ 1 0) into 1 2.193 * [backup-simplify]: Simplify (- 1) into -1 2.193 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.194 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.194 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.194 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.194 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.194 * [taylor]: Taking taylor expansion of f in f 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (/ 1 1) into 1 2.194 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.194 * [taylor]: Taking taylor expansion of n in f 2.194 * [backup-simplify]: Simplify n into n 2.194 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.194 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.194 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.194 * [taylor]: Taking taylor expansion of n in f 2.194 * [backup-simplify]: Simplify n into n 2.194 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.194 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.194 * [taylor]: Taking taylor expansion of f in f 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (/ 1 1) into 1 2.195 * [backup-simplify]: Simplify (+ 1 0) into 1 2.195 * [backup-simplify]: Simplify (- 1) into -1 2.195 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.195 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.195 * [taylor]: Taking taylor expansion of -1 in n 2.196 * [backup-simplify]: Simplify -1 into -1 2.196 * [backup-simplify]: Simplify -1 into -1 2.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.196 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.197 * [backup-simplify]: Simplify (- 0) into 0 2.197 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.197 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.197 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.197 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.197 * [taylor]: Taking taylor expansion of 2 in n 2.197 * [backup-simplify]: Simplify 2 into 2 2.197 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.197 * [taylor]: Taking taylor expansion of n in n 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (/ 1 1) into 1 2.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.199 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.199 * [backup-simplify]: Simplify (- 0) into 0 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.201 * [backup-simplify]: Simplify (+ 0 0) into 0 2.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.202 * [backup-simplify]: Simplify (- 0) into 0 2.203 * [backup-simplify]: Simplify (+ 0 0) into 0 2.204 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.204 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.204 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.204 * [taylor]: Taking taylor expansion of 2 in n 2.204 * [backup-simplify]: Simplify 2 into 2 2.204 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.204 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.204 * [taylor]: Taking taylor expansion of n in n 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify 1 into 1 2.205 * [backup-simplify]: Simplify (* 1 1) into 1 2.205 * [backup-simplify]: Simplify (/ 1 1) into 1 2.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.209 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.209 * [backup-simplify]: Simplify (- 0) into 0 2.209 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.211 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.212 * [backup-simplify]: Simplify (- 0) into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.213 * [backup-simplify]: Simplify (+ 0 0) into 0 2.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.215 * [backup-simplify]: Simplify (- 0) into 0 2.215 * [backup-simplify]: Simplify (+ 0 0) into 0 2.217 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.217 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.217 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.217 * [taylor]: Taking taylor expansion of 2 in n 2.217 * [backup-simplify]: Simplify 2 into 2 2.217 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.217 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.217 * [taylor]: Taking taylor expansion of n in n 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 1 into 1 2.218 * [backup-simplify]: Simplify (* 1 1) into 1 2.218 * [backup-simplify]: Simplify (* 1 1) into 1 2.218 * [backup-simplify]: Simplify (/ 1 1) into 1 2.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (- 0) into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify -1 into -1 2.225 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.225 * [backup-simplify]: Simplify (exp (/ (- (+ f n)) (- f n))) into (exp (* -1 (/ (+ n f) (- f n)))) 2.225 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 2.225 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 2.225 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.225 * [taylor]: Taking taylor expansion of -1 in n 2.225 * [backup-simplify]: Simplify -1 into -1 2.225 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.225 * [taylor]: Taking taylor expansion of (+ n f) in n 2.225 * [taylor]: Taking taylor expansion of n in n 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [taylor]: Taking taylor expansion of f in n 2.225 * [backup-simplify]: Simplify f into f 2.225 * [taylor]: Taking taylor expansion of (- f n) in n 2.225 * [taylor]: Taking taylor expansion of f in n 2.225 * [backup-simplify]: Simplify f into f 2.225 * [taylor]: Taking taylor expansion of n in n 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (+ 0 f) into f 2.225 * [backup-simplify]: Simplify (- 0) into 0 2.225 * [backup-simplify]: Simplify (+ f 0) into f 2.225 * [backup-simplify]: Simplify (/ f f) into 1 2.226 * [backup-simplify]: Simplify (* -1 1) into -1 2.226 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.226 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 2.226 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.226 * [taylor]: Taking taylor expansion of -1 in f 2.226 * [backup-simplify]: Simplify -1 into -1 2.226 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.226 * [taylor]: Taking taylor expansion of (+ n f) in f 2.226 * [taylor]: Taking taylor expansion of n in f 2.226 * [backup-simplify]: Simplify n into n 2.226 * [taylor]: Taking taylor expansion of f in f 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 1 into 1 2.226 * [taylor]: Taking taylor expansion of (- f n) in f 2.226 * [taylor]: Taking taylor expansion of f in f 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 1 into 1 2.226 * [taylor]: Taking taylor expansion of n in f 2.226 * [backup-simplify]: Simplify n into n 2.226 * [backup-simplify]: Simplify (+ n 0) into n 2.226 * [backup-simplify]: Simplify (- n) into (- n) 2.226 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.227 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.227 * [backup-simplify]: Simplify (* -1 -1) into 1 2.227 * [backup-simplify]: Simplify (exp 1) into E 2.227 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 2.227 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.227 * [taylor]: Taking taylor expansion of -1 in f 2.227 * [backup-simplify]: Simplify -1 into -1 2.227 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.227 * [taylor]: Taking taylor expansion of (+ n f) in f 2.227 * [taylor]: Taking taylor expansion of n in f 2.227 * [backup-simplify]: Simplify n into n 2.227 * [taylor]: Taking taylor expansion of f in f 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 1 into 1 2.227 * [taylor]: Taking taylor expansion of (- f n) in f 2.227 * [taylor]: Taking taylor expansion of f in f 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 1 into 1 2.227 * [taylor]: Taking taylor expansion of n in f 2.227 * [backup-simplify]: Simplify n into n 2.227 * [backup-simplify]: Simplify (+ n 0) into n 2.227 * [backup-simplify]: Simplify (- n) into (- n) 2.227 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.227 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.227 * [backup-simplify]: Simplify (* -1 -1) into 1 2.227 * [backup-simplify]: Simplify (exp 1) into E 2.228 * [taylor]: Taking taylor expansion of E in n 2.228 * [backup-simplify]: Simplify E into E 2.228 * [backup-simplify]: Simplify E into E 2.228 * [backup-simplify]: Simplify (+ 0 1) into 1 2.228 * [backup-simplify]: Simplify (- 0) into 0 2.229 * [backup-simplify]: Simplify (+ 1 0) into 1 2.229 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.229 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.229 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 2.229 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 2.229 * [taylor]: Taking taylor expansion of 2 in n 2.229 * [backup-simplify]: Simplify 2 into 2 2.229 * [taylor]: Taking taylor expansion of (/ E n) in n 2.229 * [taylor]: Taking taylor expansion of E in n 2.229 * [backup-simplify]: Simplify E into E 2.229 * [taylor]: Taking taylor expansion of n in n 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [backup-simplify]: Simplify (/ E 1) into E 2.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.231 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify (+ 0 0) into 0 2.231 * [backup-simplify]: Simplify (- 0) into 0 2.232 * [backup-simplify]: Simplify (+ 0 0) into 0 2.232 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.232 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.233 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 2.233 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 2.233 * [taylor]: Taking taylor expansion of 4 in n 2.233 * [backup-simplify]: Simplify 4 into 4 2.233 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 2.233 * [taylor]: Taking taylor expansion of E in n 2.233 * [backup-simplify]: Simplify E into E 2.233 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.233 * [taylor]: Taking taylor expansion of n in n 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify (* 1 1) into 1 2.233 * [backup-simplify]: Simplify (/ E 1) into E 2.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify (+ 0 0) into 0 2.242 * [backup-simplify]: Simplify (- 0) into 0 2.242 * [backup-simplify]: Simplify (+ 0 0) into 0 2.243 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.243 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.244 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 2.244 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 2.244 * [taylor]: Taking taylor expansion of 22/3 in n 2.244 * [backup-simplify]: Simplify 22/3 into 22/3 2.244 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 2.244 * [taylor]: Taking taylor expansion of E in n 2.244 * [backup-simplify]: Simplify E into E 2.244 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.244 * [taylor]: Taking taylor expansion of n in n 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.244 * [backup-simplify]: Simplify (* 1 1) into 1 2.245 * [backup-simplify]: Simplify (* 1 1) into 1 2.245 * [backup-simplify]: Simplify (/ E 1) into E 2.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.250 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify E into E 2.250 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2.250 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 2.250 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.250 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.250 * [taylor]: Taking taylor expansion of -1 in n 2.250 * [backup-simplify]: Simplify -1 into -1 2.250 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.250 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.250 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.250 * [taylor]: Taking taylor expansion of f in n 2.250 * [backup-simplify]: Simplify f into f 2.250 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.250 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.250 * [taylor]: Taking taylor expansion of n in n 2.250 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [backup-simplify]: Simplify (/ 1 1) into 1 2.251 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.251 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.251 * [taylor]: Taking taylor expansion of f in n 2.251 * [backup-simplify]: Simplify f into f 2.251 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.251 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.251 * [taylor]: Taking taylor expansion of n in n 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [backup-simplify]: Simplify (/ 1 1) into 1 2.251 * [backup-simplify]: Simplify (+ 0 1) into 1 2.252 * [backup-simplify]: Simplify (- 1) into -1 2.252 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.252 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.252 * [backup-simplify]: Simplify (* -1 -1) into 1 2.252 * [backup-simplify]: Simplify (exp 1) into E 2.252 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.252 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.252 * [taylor]: Taking taylor expansion of -1 in f 2.252 * [backup-simplify]: Simplify -1 into -1 2.252 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.252 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.252 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.252 * [taylor]: Taking taylor expansion of f in f 2.253 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify 1 into 1 2.253 * [backup-simplify]: Simplify (/ 1 1) into 1 2.253 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.253 * [taylor]: Taking taylor expansion of n in f 2.253 * [backup-simplify]: Simplify n into n 2.253 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.253 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.253 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.253 * [taylor]: Taking taylor expansion of f in f 2.253 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify 1 into 1 2.253 * [backup-simplify]: Simplify (/ 1 1) into 1 2.253 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.253 * [taylor]: Taking taylor expansion of n in f 2.253 * [backup-simplify]: Simplify n into n 2.253 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.254 * [backup-simplify]: Simplify (+ 1 0) into 1 2.254 * [backup-simplify]: Simplify (+ 1 0) into 1 2.254 * [backup-simplify]: Simplify (/ 1 1) into 1 2.254 * [backup-simplify]: Simplify (* -1 1) into -1 2.254 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.254 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.254 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.255 * [taylor]: Taking taylor expansion of -1 in f 2.255 * [backup-simplify]: Simplify -1 into -1 2.255 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.255 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.255 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.255 * [taylor]: Taking taylor expansion of f in f 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 1 into 1 2.255 * [backup-simplify]: Simplify (/ 1 1) into 1 2.255 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.255 * [taylor]: Taking taylor expansion of n in f 2.255 * [backup-simplify]: Simplify n into n 2.255 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.255 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.255 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.255 * [taylor]: Taking taylor expansion of f in f 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 1 into 1 2.255 * [backup-simplify]: Simplify (/ 1 1) into 1 2.255 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.255 * [taylor]: Taking taylor expansion of n in f 2.255 * [backup-simplify]: Simplify n into n 2.255 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.256 * [backup-simplify]: Simplify (+ 1 0) into 1 2.256 * [backup-simplify]: Simplify (+ 1 0) into 1 2.256 * [backup-simplify]: Simplify (/ 1 1) into 1 2.256 * [backup-simplify]: Simplify (* -1 1) into -1 2.257 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.257 * [taylor]: Taking taylor expansion of (exp -1) in n 2.257 * [taylor]: Taking taylor expansion of -1 in n 2.257 * [backup-simplify]: Simplify -1 into -1 2.257 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.257 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.258 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.258 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.258 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.258 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.259 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.259 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 2.259 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 2.259 * [taylor]: Taking taylor expansion of -2 in n 2.259 * [backup-simplify]: Simplify -2 into -2 2.259 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 2.259 * [taylor]: Taking taylor expansion of (exp -1) in n 2.259 * [taylor]: Taking taylor expansion of -1 in n 2.259 * [backup-simplify]: Simplify -1 into -1 2.259 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.259 * [taylor]: Taking taylor expansion of n in n 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 1 into 1 2.260 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.261 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.262 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.262 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.263 * [backup-simplify]: Simplify (+ 0 0) into 0 2.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.264 * [backup-simplify]: Simplify (- 0) into 0 2.264 * [backup-simplify]: Simplify (+ 0 0) into 0 2.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.265 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.266 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 2.266 * [taylor]: Taking taylor expansion of 0 in n 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.268 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.269 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.270 * [backup-simplify]: Simplify (+ 0 0) into 0 2.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.271 * [backup-simplify]: Simplify (- 0) into 0 2.271 * [backup-simplify]: Simplify (+ 0 0) into 0 2.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 2.273 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.273 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 2.273 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 2.273 * [taylor]: Taking taylor expansion of 2/3 in n 2.273 * [backup-simplify]: Simplify 2/3 into 2/3 2.274 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 2.274 * [taylor]: Taking taylor expansion of (exp -1) in n 2.274 * [taylor]: Taking taylor expansion of -1 in n 2.274 * [backup-simplify]: Simplify -1 into -1 2.274 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.274 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.274 * [taylor]: Taking taylor expansion of n in n 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (* 1 1) into 1 2.274 * [backup-simplify]: Simplify (* 1 1) into 1 2.275 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.276 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.280 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.285 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.288 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 2.288 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.289 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 2.289 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 2.289 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.289 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.289 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.289 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.289 * [taylor]: Taking taylor expansion of f in n 2.289 * [backup-simplify]: Simplify f into f 2.289 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.289 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.289 * [taylor]: Taking taylor expansion of n in n 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 1 into 1 2.290 * [backup-simplify]: Simplify (/ 1 1) into 1 2.290 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.290 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.290 * [taylor]: Taking taylor expansion of n in n 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 1 into 1 2.290 * [backup-simplify]: Simplify (/ 1 1) into 1 2.290 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.290 * [taylor]: Taking taylor expansion of f in n 2.290 * [backup-simplify]: Simplify f into f 2.291 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.291 * [backup-simplify]: Simplify (+ 0 1) into 1 2.291 * [backup-simplify]: Simplify (+ 1 0) into 1 2.292 * [backup-simplify]: Simplify (/ 1 1) into 1 2.292 * [backup-simplify]: Simplify (exp 1) into E 2.292 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.292 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.292 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.292 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.292 * [taylor]: Taking taylor expansion of f in f 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (/ 1 1) into 1 2.292 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.292 * [taylor]: Taking taylor expansion of n in f 2.292 * [backup-simplify]: Simplify n into n 2.293 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.293 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.293 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.293 * [taylor]: Taking taylor expansion of n in f 2.293 * [backup-simplify]: Simplify n into n 2.293 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.293 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.293 * [taylor]: Taking taylor expansion of f in f 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (/ 1 1) into 1 2.294 * [backup-simplify]: Simplify (+ 1 0) into 1 2.294 * [backup-simplify]: Simplify (- 1) into -1 2.294 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.295 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.295 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.295 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.295 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.295 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.295 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.295 * [taylor]: Taking taylor expansion of f in f 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify 1 into 1 2.296 * [backup-simplify]: Simplify (/ 1 1) into 1 2.296 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.296 * [taylor]: Taking taylor expansion of n in f 2.296 * [backup-simplify]: Simplify n into n 2.296 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.296 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.296 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.296 * [taylor]: Taking taylor expansion of n in f 2.296 * [backup-simplify]: Simplify n into n 2.296 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.296 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.296 * [taylor]: Taking taylor expansion of f in f 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.297 * [backup-simplify]: Simplify (/ 1 1) into 1 2.297 * [backup-simplify]: Simplify (+ 1 0) into 1 2.297 * [backup-simplify]: Simplify (- 1) into -1 2.298 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.298 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.299 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.299 * [taylor]: Taking taylor expansion of (exp -1) in n 2.299 * [taylor]: Taking taylor expansion of -1 in n 2.299 * [backup-simplify]: Simplify -1 into -1 2.299 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.300 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.300 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (- 0) into 0 2.302 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.302 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.303 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 2.303 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 2.303 * [taylor]: Taking taylor expansion of -2 in n 2.303 * [backup-simplify]: Simplify -2 into -2 2.303 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 2.303 * [taylor]: Taking taylor expansion of (exp -1) in n 2.303 * [taylor]: Taking taylor expansion of -1 in n 2.303 * [backup-simplify]: Simplify -1 into -1 2.303 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.303 * [taylor]: Taking taylor expansion of n in n 2.303 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify 1 into 1 2.304 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.305 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.306 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 2.306 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.308 * [backup-simplify]: Simplify (+ 0 0) into 0 2.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.309 * [backup-simplify]: Simplify (- 0) into 0 2.309 * [backup-simplify]: Simplify (+ 0 0) into 0 2.309 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.310 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 2.310 * [taylor]: Taking taylor expansion of 0 in n 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.312 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.313 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.314 * [backup-simplify]: Simplify (+ 0 0) into 0 2.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.315 * [backup-simplify]: Simplify (- 0) into 0 2.315 * [backup-simplify]: Simplify (+ 0 0) into 0 2.316 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.317 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 2.317 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 2.317 * [taylor]: Taking taylor expansion of 2/3 in n 2.317 * [backup-simplify]: Simplify 2/3 into 2/3 2.317 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 2.317 * [taylor]: Taking taylor expansion of (exp -1) in n 2.317 * [taylor]: Taking taylor expansion of -1 in n 2.317 * [backup-simplify]: Simplify -1 into -1 2.317 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.317 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.317 * [taylor]: Taking taylor expansion of n in n 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (* 1 1) into 1 2.318 * [backup-simplify]: Simplify (* 1 1) into 1 2.318 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.320 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.322 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.324 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.326 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 2.326 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.327 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.327 * [backup-simplify]: Simplify (log (exp (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) 2.327 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.327 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.327 * [taylor]: Taking taylor expansion of -1 in n 2.327 * [backup-simplify]: Simplify -1 into -1 2.327 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.327 * [taylor]: Taking taylor expansion of (+ n f) in n 2.327 * [taylor]: Taking taylor expansion of n in n 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 1 into 1 2.327 * [taylor]: Taking taylor expansion of f in n 2.327 * [backup-simplify]: Simplify f into f 2.327 * [taylor]: Taking taylor expansion of (- f n) in n 2.327 * [taylor]: Taking taylor expansion of f in n 2.327 * [backup-simplify]: Simplify f into f 2.327 * [taylor]: Taking taylor expansion of n in n 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 1 into 1 2.327 * [backup-simplify]: Simplify (+ 0 f) into f 2.328 * [backup-simplify]: Simplify (- 0) into 0 2.328 * [backup-simplify]: Simplify (+ f 0) into f 2.328 * [backup-simplify]: Simplify (/ f f) into 1 2.328 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.328 * [taylor]: Taking taylor expansion of -1 in f 2.328 * [backup-simplify]: Simplify -1 into -1 2.328 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.328 * [taylor]: Taking taylor expansion of (+ n f) in f 2.328 * [taylor]: Taking taylor expansion of n in f 2.328 * [backup-simplify]: Simplify n into n 2.328 * [taylor]: Taking taylor expansion of f in f 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 1 into 1 2.328 * [taylor]: Taking taylor expansion of (- f n) in f 2.328 * [taylor]: Taking taylor expansion of f in f 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 1 into 1 2.328 * [taylor]: Taking taylor expansion of n in f 2.328 * [backup-simplify]: Simplify n into n 2.328 * [backup-simplify]: Simplify (+ n 0) into n 2.328 * [backup-simplify]: Simplify (- n) into (- n) 2.328 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.328 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.328 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.328 * [taylor]: Taking taylor expansion of -1 in f 2.328 * [backup-simplify]: Simplify -1 into -1 2.328 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.328 * [taylor]: Taking taylor expansion of (+ n f) in f 2.328 * [taylor]: Taking taylor expansion of n in f 2.328 * [backup-simplify]: Simplify n into n 2.328 * [taylor]: Taking taylor expansion of f in f 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 1 into 1 2.328 * [taylor]: Taking taylor expansion of (- f n) in f 2.328 * [taylor]: Taking taylor expansion of f in f 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 1 into 1 2.328 * [taylor]: Taking taylor expansion of n in f 2.328 * [backup-simplify]: Simplify n into n 2.328 * [backup-simplify]: Simplify (+ n 0) into n 2.328 * [backup-simplify]: Simplify (- n) into (- n) 2.328 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.328 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.329 * [backup-simplify]: Simplify (* -1 -1) into 1 2.329 * [taylor]: Taking taylor expansion of 1 in n 2.329 * [backup-simplify]: Simplify 1 into 1 2.329 * [backup-simplify]: Simplify 1 into 1 2.329 * [backup-simplify]: Simplify (+ 0 1) into 1 2.329 * [backup-simplify]: Simplify (- 0) into 0 2.329 * [backup-simplify]: Simplify (+ 1 0) into 1 2.330 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.330 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.330 * [taylor]: Taking taylor expansion of 2 in n 2.330 * [backup-simplify]: Simplify 2 into 2 2.330 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.330 * [taylor]: Taking taylor expansion of n in n 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 1 into 1 2.330 * [backup-simplify]: Simplify (/ 1 1) into 1 2.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.331 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify (+ 0 0) into 0 2.332 * [backup-simplify]: Simplify (- 0) into 0 2.332 * [backup-simplify]: Simplify (+ 0 0) into 0 2.332 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.333 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.333 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.333 * [taylor]: Taking taylor expansion of 2 in n 2.333 * [backup-simplify]: Simplify 2 into 2 2.333 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.333 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.333 * [taylor]: Taking taylor expansion of n in n 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 1 into 1 2.333 * [backup-simplify]: Simplify (* 1 1) into 1 2.333 * [backup-simplify]: Simplify (/ 1 1) into 1 2.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.343 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.343 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify (+ 0 0) into 0 2.344 * [backup-simplify]: Simplify (- 0) into 0 2.345 * [backup-simplify]: Simplify (+ 0 0) into 0 2.345 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.346 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.346 * [taylor]: Taking taylor expansion of 2 in n 2.346 * [backup-simplify]: Simplify 2 into 2 2.346 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.346 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.346 * [taylor]: Taking taylor expansion of n in n 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 1 into 1 2.346 * [backup-simplify]: Simplify (* 1 1) into 1 2.346 * [backup-simplify]: Simplify (* 1 1) into 1 2.347 * [backup-simplify]: Simplify (/ 1 1) into 1 2.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 1 into 1 2.352 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.352 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.352 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.352 * [taylor]: Taking taylor expansion of -1 in n 2.352 * [backup-simplify]: Simplify -1 into -1 2.352 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.352 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.352 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.352 * [taylor]: Taking taylor expansion of f in n 2.352 * [backup-simplify]: Simplify f into f 2.352 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.352 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.352 * [taylor]: Taking taylor expansion of n in n 2.352 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify 1 into 1 2.352 * [backup-simplify]: Simplify (/ 1 1) into 1 2.352 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.352 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.352 * [taylor]: Taking taylor expansion of f in n 2.352 * [backup-simplify]: Simplify f into f 2.352 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.352 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.352 * [taylor]: Taking taylor expansion of n in n 2.352 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify 1 into 1 2.352 * [backup-simplify]: Simplify (/ 1 1) into 1 2.353 * [backup-simplify]: Simplify (+ 0 1) into 1 2.353 * [backup-simplify]: Simplify (- 1) into -1 2.353 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.353 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.353 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.353 * [taylor]: Taking taylor expansion of -1 in f 2.354 * [backup-simplify]: Simplify -1 into -1 2.354 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.354 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.354 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.354 * [taylor]: Taking taylor expansion of f in f 2.354 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify 1 into 1 2.354 * [backup-simplify]: Simplify (/ 1 1) into 1 2.354 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.354 * [taylor]: Taking taylor expansion of n in f 2.354 * [backup-simplify]: Simplify n into n 2.354 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.354 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.354 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.354 * [taylor]: Taking taylor expansion of f in f 2.354 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify 1 into 1 2.354 * [backup-simplify]: Simplify (/ 1 1) into 1 2.354 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.354 * [taylor]: Taking taylor expansion of n in f 2.354 * [backup-simplify]: Simplify n into n 2.354 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.355 * [backup-simplify]: Simplify (+ 1 0) into 1 2.355 * [backup-simplify]: Simplify (+ 1 0) into 1 2.355 * [backup-simplify]: Simplify (/ 1 1) into 1 2.355 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.355 * [taylor]: Taking taylor expansion of -1 in f 2.355 * [backup-simplify]: Simplify -1 into -1 2.355 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.355 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.355 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.355 * [taylor]: Taking taylor expansion of f in f 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [backup-simplify]: Simplify (/ 1 1) into 1 2.355 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.355 * [taylor]: Taking taylor expansion of n in f 2.356 * [backup-simplify]: Simplify n into n 2.356 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.356 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.356 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.356 * [taylor]: Taking taylor expansion of f in f 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 1 into 1 2.356 * [backup-simplify]: Simplify (/ 1 1) into 1 2.356 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.356 * [taylor]: Taking taylor expansion of n in f 2.356 * [backup-simplify]: Simplify n into n 2.356 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.356 * [backup-simplify]: Simplify (+ 1 0) into 1 2.356 * [backup-simplify]: Simplify (+ 1 0) into 1 2.357 * [backup-simplify]: Simplify (/ 1 1) into 1 2.357 * [backup-simplify]: Simplify (* -1 1) into -1 2.357 * [taylor]: Taking taylor expansion of -1 in n 2.357 * [backup-simplify]: Simplify -1 into -1 2.357 * [backup-simplify]: Simplify -1 into -1 2.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.358 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.358 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.358 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.358 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.358 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.359 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.359 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.359 * [taylor]: Taking taylor expansion of 2 in n 2.359 * [backup-simplify]: Simplify 2 into 2 2.359 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.359 * [taylor]: Taking taylor expansion of n in n 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * [backup-simplify]: Simplify (/ 1 1) into 1 2.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.360 * [backup-simplify]: Simplify (- 0) into 0 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.361 * [backup-simplify]: Simplify (+ 0 0) into 0 2.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.361 * [backup-simplify]: Simplify (- 0) into 0 2.362 * [backup-simplify]: Simplify (+ 0 0) into 0 2.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.363 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.363 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.363 * [taylor]: Taking taylor expansion of 2 in n 2.363 * [backup-simplify]: Simplify 2 into 2 2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.363 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.363 * [taylor]: Taking taylor expansion of n in n 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 1 into 1 2.363 * [backup-simplify]: Simplify (* 1 1) into 1 2.363 * [backup-simplify]: Simplify (/ 1 1) into 1 2.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.366 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.366 * [backup-simplify]: Simplify (- 0) into 0 2.366 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.367 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.367 * [backup-simplify]: Simplify (- 0) into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.368 * [backup-simplify]: Simplify (+ 0 0) into 0 2.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.369 * [backup-simplify]: Simplify (- 0) into 0 2.369 * [backup-simplify]: Simplify (+ 0 0) into 0 2.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 2.371 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.371 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.371 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.371 * [taylor]: Taking taylor expansion of 2 in n 2.371 * [backup-simplify]: Simplify 2 into 2 2.371 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.371 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.371 * [taylor]: Taking taylor expansion of n in n 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify 1 into 1 2.371 * [backup-simplify]: Simplify (* 1 1) into 1 2.371 * [backup-simplify]: Simplify (* 1 1) into 1 2.371 * [backup-simplify]: Simplify (/ 1 1) into 1 2.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.379 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.380 * [backup-simplify]: Simplify (- 0) into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify -1 into -1 2.380 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.380 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.380 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.380 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.381 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.381 * [taylor]: Taking taylor expansion of f in n 2.381 * [backup-simplify]: Simplify f into f 2.381 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.381 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.381 * [taylor]: Taking taylor expansion of n in n 2.381 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify 1 into 1 2.381 * [backup-simplify]: Simplify (/ 1 1) into 1 2.381 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.381 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.381 * [taylor]: Taking taylor expansion of n in n 2.381 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify 1 into 1 2.382 * [backup-simplify]: Simplify (/ 1 1) into 1 2.382 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.382 * [taylor]: Taking taylor expansion of f in n 2.382 * [backup-simplify]: Simplify f into f 2.382 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.382 * [backup-simplify]: Simplify (+ 0 1) into 1 2.383 * [backup-simplify]: Simplify (+ 1 0) into 1 2.383 * [backup-simplify]: Simplify (/ 1 1) into 1 2.383 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.383 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.383 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.383 * [taylor]: Taking taylor expansion of f in f 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify 1 into 1 2.384 * [backup-simplify]: Simplify (/ 1 1) into 1 2.384 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.384 * [taylor]: Taking taylor expansion of n in f 2.384 * [backup-simplify]: Simplify n into n 2.384 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.384 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.384 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.384 * [taylor]: Taking taylor expansion of n in f 2.384 * [backup-simplify]: Simplify n into n 2.384 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.384 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.384 * [taylor]: Taking taylor expansion of f in f 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify 1 into 1 2.384 * [backup-simplify]: Simplify (/ 1 1) into 1 2.385 * [backup-simplify]: Simplify (+ 1 0) into 1 2.385 * [backup-simplify]: Simplify (- 1) into -1 2.386 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.386 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.386 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.386 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.386 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.386 * [taylor]: Taking taylor expansion of f in f 2.386 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify 1 into 1 2.387 * [backup-simplify]: Simplify (/ 1 1) into 1 2.387 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.387 * [taylor]: Taking taylor expansion of n in f 2.387 * [backup-simplify]: Simplify n into n 2.387 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.387 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.387 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.387 * [taylor]: Taking taylor expansion of n in f 2.387 * [backup-simplify]: Simplify n into n 2.387 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.387 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.387 * [taylor]: Taking taylor expansion of f in f 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify 1 into 1 2.388 * [backup-simplify]: Simplify (/ 1 1) into 1 2.388 * [backup-simplify]: Simplify (+ 1 0) into 1 2.388 * [backup-simplify]: Simplify (- 1) into -1 2.389 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.389 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.389 * [taylor]: Taking taylor expansion of -1 in n 2.389 * [backup-simplify]: Simplify -1 into -1 2.389 * [backup-simplify]: Simplify -1 into -1 2.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.390 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.391 * [backup-simplify]: Simplify (- 0) into 0 2.391 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.392 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.392 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.392 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.392 * [taylor]: Taking taylor expansion of 2 in n 2.392 * [backup-simplify]: Simplify 2 into 2 2.392 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.392 * [taylor]: Taking taylor expansion of n in n 2.392 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify 1 into 1 2.392 * [backup-simplify]: Simplify (/ 1 1) into 1 2.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.394 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.394 * [backup-simplify]: Simplify (- 0) into 0 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.396 * [backup-simplify]: Simplify (+ 0 0) into 0 2.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.397 * [backup-simplify]: Simplify (- 0) into 0 2.397 * [backup-simplify]: Simplify (+ 0 0) into 0 2.399 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.399 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.399 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.399 * [taylor]: Taking taylor expansion of 2 in n 2.399 * [backup-simplify]: Simplify 2 into 2 2.399 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.399 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.399 * [taylor]: Taking taylor expansion of n in n 2.399 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify 1 into 1 2.399 * [backup-simplify]: Simplify (* 1 1) into 1 2.400 * [backup-simplify]: Simplify (/ 1 1) into 1 2.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.404 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.404 * [backup-simplify]: Simplify (- 0) into 0 2.404 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.406 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.407 * [backup-simplify]: Simplify (- 0) into 0 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.408 * [backup-simplify]: Simplify (+ 0 0) into 0 2.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.410 * [backup-simplify]: Simplify (- 0) into 0 2.410 * [backup-simplify]: Simplify (+ 0 0) into 0 2.412 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.412 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.412 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.412 * [taylor]: Taking taylor expansion of 2 in n 2.412 * [backup-simplify]: Simplify 2 into 2 2.412 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.412 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.412 * [taylor]: Taking taylor expansion of n in n 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 1 into 1 2.413 * [backup-simplify]: Simplify (* 1 1) into 1 2.413 * [backup-simplify]: Simplify (* 1 1) into 1 2.414 * [backup-simplify]: Simplify (/ 1 1) into 1 2.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.422 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.423 * [backup-simplify]: Simplify (- 0) into 0 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify -1 into -1 2.423 * * * [progress]: simplifying candidates 2.430 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 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(log (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- 1) (sqrt (- f n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- 1) (sqrt (- f n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))) (log (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (sqrt (+ f n)) (sqrt (- f n))))) (log (exp (/ (sqrt (+ f n)) 1))) (log (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))))) (log (exp (/ (sqrt (+ f n)) 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- (+ f n)))) (log (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))) (log (exp (/ (- (+ f n)) (- (* f f) (* n n))))) (log (log (exp (/ (- (+ f n)) (- f n))))) (exp (log (exp (/ (- (+ f n)) (- f n))))) (* (cbrt (log (exp (/ (- (+ f n)) (- f n))))) (cbrt (log (exp (/ (- (+ f n)) (- f n)))))) (cbrt (log (exp (/ (- (+ f n)) (- f n))))) (* (* (log (exp (/ (- (+ f n)) (- f n)))) (log (exp (/ (- (+ f n)) (- f n))))) (log (exp (/ (- (+ f n)) (- f n))))) (sqrt (log (exp (/ (- (+ f n)) (- f n))))) (sqrt (log (exp (/ (- (+ f n)) (- f n))))) 1 -1 -1 E (exp -1) (exp -1) 1 -1 -1 3.691 * * * [progress]: adding candidates to table 4.305 * * [progress]: iteration 3 / 4 4.305 * * * [progress]: picking best candidate 4.316 * * * * [pick]: Picked # 4.316 * * * [progress]: localizing error 4.330 * * * [progress]: generating rewritten candidates 4.330 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 4.359 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.439 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 4.483 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.621 * * * [progress]: generating series expansions 4.621 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 4.621 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 4.621 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 4.621 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 4.621 * [taylor]: Taking taylor expansion of (- f n) in n 4.621 * [taylor]: Taking taylor expansion of f in n 4.621 * [backup-simplify]: Simplify f into f 4.621 * [taylor]: Taking taylor expansion of n in n 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 1 into 1 4.621 * [taylor]: Taking taylor expansion of (+ n f) in n 4.621 * [taylor]: Taking taylor expansion of n in n 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 1 into 1 4.621 * [taylor]: Taking taylor expansion of f in n 4.622 * [backup-simplify]: Simplify f into f 4.622 * [backup-simplify]: Simplify (- 0) into 0 4.622 * [backup-simplify]: Simplify (+ f 0) into f 4.622 * [backup-simplify]: Simplify (+ 0 f) into f 4.622 * [backup-simplify]: Simplify (/ f f) into 1 4.622 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 4.622 * [taylor]: Taking taylor expansion of (- f n) in f 4.622 * [taylor]: Taking taylor expansion of f in f 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 1 into 1 4.622 * [taylor]: Taking taylor expansion of n in f 4.622 * [backup-simplify]: Simplify n into n 4.622 * [taylor]: Taking taylor expansion of (+ n f) in f 4.622 * [taylor]: Taking taylor expansion of n in f 4.622 * [backup-simplify]: Simplify n into n 4.622 * [taylor]: Taking taylor expansion of f in f 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 1 into 1 4.622 * [backup-simplify]: Simplify (- n) into (- n) 4.622 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.622 * [backup-simplify]: Simplify (+ n 0) into n 4.623 * [backup-simplify]: Simplify (/ (- n) n) into -1 4.623 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 4.623 * [taylor]: Taking taylor expansion of (- f n) in f 4.623 * [taylor]: Taking taylor expansion of f in f 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 1 into 1 4.623 * [taylor]: Taking taylor expansion of n in f 4.623 * [backup-simplify]: Simplify n into n 4.623 * [taylor]: Taking taylor expansion of (+ n f) in f 4.623 * [taylor]: Taking taylor expansion of n in f 4.623 * [backup-simplify]: Simplify n into n 4.623 * [taylor]: Taking taylor expansion of f in f 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 1 into 1 4.623 * [backup-simplify]: Simplify (- n) into (- n) 4.623 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.623 * [backup-simplify]: Simplify (+ n 0) into n 4.623 * [backup-simplify]: Simplify (/ (- n) n) into -1 4.623 * [taylor]: Taking taylor expansion of -1 in n 4.623 * [backup-simplify]: Simplify -1 into -1 4.623 * [backup-simplify]: Simplify -1 into -1 4.623 * [backup-simplify]: Simplify (- 0) into 0 4.624 * [backup-simplify]: Simplify (+ 1 0) into 1 4.624 * [backup-simplify]: Simplify (+ 0 1) into 1 4.624 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 4.624 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.624 * [taylor]: Taking taylor expansion of 2 in n 4.624 * [backup-simplify]: Simplify 2 into 2 4.624 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.624 * [taylor]: Taking taylor expansion of n in n 4.624 * [backup-simplify]: Simplify 0 into 0 4.624 * [backup-simplify]: Simplify 1 into 1 4.624 * [backup-simplify]: Simplify (/ 1 1) into 1 4.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.625 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.625 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify (- 0) into 0 4.626 * [backup-simplify]: Simplify (+ 0 0) into 0 4.626 * [backup-simplify]: Simplify (+ 0 0) into 0 4.626 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 4.626 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.626 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.626 * [taylor]: Taking taylor expansion of 2 in n 4.626 * [backup-simplify]: Simplify 2 into 2 4.626 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.626 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.626 * [taylor]: Taking taylor expansion of n in n 4.626 * [backup-simplify]: Simplify 0 into 0 4.626 * [backup-simplify]: Simplify 1 into 1 4.626 * [backup-simplify]: Simplify (* 1 1) into 1 4.627 * [backup-simplify]: Simplify (/ 1 1) into 1 4.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.629 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.629 * [backup-simplify]: Simplify (- 0) into 0 4.629 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.630 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify (- 0) into 0 4.631 * [backup-simplify]: Simplify (+ 0 0) into 0 4.631 * [backup-simplify]: Simplify (+ 0 0) into 0 4.631 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 4.631 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.631 * [taylor]: Taking taylor expansion of 2 in n 4.631 * [backup-simplify]: Simplify 2 into 2 4.631 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.631 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.631 * [taylor]: Taking taylor expansion of n in n 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify 1 into 1 4.632 * [backup-simplify]: Simplify (* 1 1) into 1 4.632 * [backup-simplify]: Simplify (* 1 1) into 1 4.632 * [backup-simplify]: Simplify (/ 1 1) into 1 4.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.637 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.637 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify -1 into -1 4.637 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 4.637 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 4.637 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 4.637 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.637 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.637 * [taylor]: Taking taylor expansion of f in n 4.637 * [backup-simplify]: Simplify f into f 4.637 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.637 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.637 * [taylor]: Taking taylor expansion of n in n 4.637 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify 1 into 1 4.638 * [backup-simplify]: Simplify (/ 1 1) into 1 4.638 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.638 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.638 * [taylor]: Taking taylor expansion of f in n 4.638 * [backup-simplify]: Simplify f into f 4.638 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.638 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.638 * [taylor]: Taking taylor expansion of n in n 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify 1 into 1 4.639 * [backup-simplify]: Simplify (/ 1 1) into 1 4.639 * [backup-simplify]: Simplify (- 1) into -1 4.639 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.640 * [backup-simplify]: Simplify (+ 0 1) into 1 4.640 * [backup-simplify]: Simplify (/ -1 1) into -1 4.640 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 4.640 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.640 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.640 * [taylor]: Taking taylor expansion of f in f 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify 1 into 1 4.641 * [backup-simplify]: Simplify (/ 1 1) into 1 4.641 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.641 * [taylor]: Taking taylor expansion of n in f 4.641 * [backup-simplify]: Simplify n into n 4.641 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.641 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.641 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.641 * [taylor]: Taking taylor expansion of f in f 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 1 into 1 4.641 * [backup-simplify]: Simplify (/ 1 1) into 1 4.641 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.642 * [taylor]: Taking taylor expansion of n in f 4.642 * [backup-simplify]: Simplify n into n 4.642 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.642 * [backup-simplify]: Simplify (+ 1 0) into 1 4.642 * [backup-simplify]: Simplify (+ 1 0) into 1 4.643 * [backup-simplify]: Simplify (/ 1 1) into 1 4.643 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 4.643 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.643 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.643 * [taylor]: Taking taylor expansion of f in f 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify 1 into 1 4.643 * [backup-simplify]: Simplify (/ 1 1) into 1 4.643 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.643 * [taylor]: Taking taylor expansion of n in f 4.643 * [backup-simplify]: Simplify n into n 4.644 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.644 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.644 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.644 * [taylor]: Taking taylor expansion of f in f 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 1 into 1 4.644 * [backup-simplify]: Simplify (/ 1 1) into 1 4.644 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.644 * [taylor]: Taking taylor expansion of n in f 4.644 * [backup-simplify]: Simplify n into n 4.644 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.645 * [backup-simplify]: Simplify (+ 1 0) into 1 4.645 * [backup-simplify]: Simplify (+ 1 0) into 1 4.645 * [backup-simplify]: Simplify (/ 1 1) into 1 4.646 * [taylor]: Taking taylor expansion of 1 in n 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.646 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.647 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.647 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.648 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 4.648 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.648 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.648 * [taylor]: Taking taylor expansion of 2 in n 4.648 * [backup-simplify]: Simplify 2 into 2 4.648 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.648 * [taylor]: Taking taylor expansion of n in n 4.648 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify 1 into 1 4.648 * [backup-simplify]: Simplify (/ 1 1) into 1 4.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.650 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.650 * [backup-simplify]: Simplify (- 0) into 0 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.652 * [backup-simplify]: Simplify (- 0) into 0 4.652 * [backup-simplify]: Simplify (+ 0 0) into 0 4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.654 * [backup-simplify]: Simplify (+ 0 0) into 0 4.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 4.656 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.656 * [taylor]: Taking taylor expansion of 2 in n 4.656 * [backup-simplify]: Simplify 2 into 2 4.656 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.656 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.656 * [taylor]: Taking taylor expansion of n in n 4.656 * [backup-simplify]: Simplify 0 into 0 4.656 * [backup-simplify]: Simplify 1 into 1 4.656 * [backup-simplify]: Simplify (* 1 1) into 1 4.656 * [backup-simplify]: Simplify (/ 1 1) into 1 4.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.661 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.662 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.662 * [backup-simplify]: Simplify (- 0) into 0 4.662 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.663 * [backup-simplify]: Simplify (- 0) into 0 4.663 * [backup-simplify]: Simplify (+ 0 0) into 0 4.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.664 * [backup-simplify]: Simplify (+ 0 0) into 0 4.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.665 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.665 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.665 * [taylor]: Taking taylor expansion of 2 in n 4.665 * [backup-simplify]: Simplify 2 into 2 4.665 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.665 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.665 * [taylor]: Taking taylor expansion of n in n 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify 1 into 1 4.665 * [backup-simplify]: Simplify (* 1 1) into 1 4.665 * [backup-simplify]: Simplify (* 1 1) into 1 4.666 * [backup-simplify]: Simplify (/ 1 1) into 1 4.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.671 * [backup-simplify]: Simplify (- 0) into 0 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 1 into 1 4.671 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 4.671 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 4.671 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 4.671 * [taylor]: Taking taylor expansion of -1 in n 4.671 * [backup-simplify]: Simplify -1 into -1 4.671 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 4.671 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.671 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.671 * [taylor]: Taking taylor expansion of n in n 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 1 into 1 4.671 * [backup-simplify]: Simplify (/ 1 1) into 1 4.671 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.671 * [taylor]: Taking taylor expansion of f in n 4.671 * [backup-simplify]: Simplify f into f 4.671 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.671 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.671 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.671 * [taylor]: Taking taylor expansion of f in n 4.671 * [backup-simplify]: Simplify f into f 4.671 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.671 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.672 * [taylor]: Taking taylor expansion of n in n 4.672 * [backup-simplify]: Simplify 0 into 0 4.672 * [backup-simplify]: Simplify 1 into 1 4.672 * [backup-simplify]: Simplify (/ 1 1) into 1 4.672 * [backup-simplify]: Simplify (+ 1 0) into 1 4.672 * [backup-simplify]: Simplify (+ 0 1) into 1 4.672 * [backup-simplify]: Simplify (/ 1 1) into 1 4.673 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 4.673 * [taylor]: Taking taylor expansion of -1 in f 4.673 * [backup-simplify]: Simplify -1 into -1 4.673 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 4.673 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.673 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.673 * [taylor]: Taking taylor expansion of n in f 4.673 * [backup-simplify]: Simplify n into n 4.673 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.673 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.673 * [taylor]: Taking taylor expansion of f in f 4.673 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify 1 into 1 4.673 * [backup-simplify]: Simplify (/ 1 1) into 1 4.673 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.673 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.673 * [taylor]: Taking taylor expansion of f in f 4.673 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify 1 into 1 4.673 * [backup-simplify]: Simplify (/ 1 1) into 1 4.673 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.673 * [taylor]: Taking taylor expansion of n in f 4.673 * [backup-simplify]: Simplify n into n 4.673 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.674 * [backup-simplify]: Simplify (- 1) into -1 4.674 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.674 * [backup-simplify]: Simplify (+ 1 0) into 1 4.674 * [backup-simplify]: Simplify (/ -1 1) into -1 4.674 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 4.674 * [taylor]: Taking taylor expansion of -1 in f 4.674 * [backup-simplify]: Simplify -1 into -1 4.674 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 4.674 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.674 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.674 * [taylor]: Taking taylor expansion of n in f 4.674 * [backup-simplify]: Simplify n into n 4.675 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.675 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.675 * [taylor]: Taking taylor expansion of f in f 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 1 into 1 4.675 * [backup-simplify]: Simplify (/ 1 1) into 1 4.675 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.675 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.675 * [taylor]: Taking taylor expansion of f in f 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 1 into 1 4.675 * [backup-simplify]: Simplify (/ 1 1) into 1 4.675 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.675 * [taylor]: Taking taylor expansion of n in f 4.675 * [backup-simplify]: Simplify n into n 4.675 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.675 * [backup-simplify]: Simplify (- 1) into -1 4.676 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.676 * [backup-simplify]: Simplify (+ 1 0) into 1 4.676 * [backup-simplify]: Simplify (/ -1 1) into -1 4.676 * [backup-simplify]: Simplify (* -1 -1) into 1 4.676 * [taylor]: Taking taylor expansion of 1 in n 4.676 * [backup-simplify]: Simplify 1 into 1 4.677 * [backup-simplify]: Simplify 1 into 1 4.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.677 * [backup-simplify]: Simplify (- 0) into 0 4.677 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.678 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.678 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 4.678 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 4.678 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.678 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.678 * [taylor]: Taking taylor expansion of 2 in n 4.678 * [backup-simplify]: Simplify 2 into 2 4.678 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.678 * [taylor]: Taking taylor expansion of n in n 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify 1 into 1 4.678 * [backup-simplify]: Simplify (/ 1 1) into 1 4.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.679 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.679 * [backup-simplify]: Simplify (- 0) into 0 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.680 * [backup-simplify]: Simplify (- 0) into 0 4.681 * [backup-simplify]: Simplify (+ 0 0) into 0 4.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.681 * [backup-simplify]: Simplify (+ 0 0) into 0 4.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.683 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.683 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.683 * [taylor]: Taking taylor expansion of 2 in n 4.683 * [backup-simplify]: Simplify 2 into 2 4.683 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.683 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.683 * [taylor]: Taking taylor expansion of n in n 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 1 into 1 4.683 * [backup-simplify]: Simplify (* 1 1) into 1 4.683 * [backup-simplify]: Simplify (/ 1 1) into 1 4.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.685 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.686 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.687 * [backup-simplify]: Simplify (- 0) into 0 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.687 * [backup-simplify]: Simplify (- 0) into 0 4.688 * [backup-simplify]: Simplify (+ 0 0) into 0 4.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.689 * [backup-simplify]: Simplify (+ 0 0) into 0 4.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 4.691 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.691 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.691 * [taylor]: Taking taylor expansion of 2 in n 4.691 * [backup-simplify]: Simplify 2 into 2 4.691 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.691 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.691 * [taylor]: Taking taylor expansion of n in n 4.691 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify 1 into 1 4.692 * [backup-simplify]: Simplify (* 1 1) into 1 4.692 * [backup-simplify]: Simplify (* 1 1) into 1 4.693 * [backup-simplify]: Simplify (/ 1 1) into 1 4.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.699 * [backup-simplify]: Simplify (- 0) into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 1 into 1 4.699 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.700 * [backup-simplify]: Simplify (exp (/ -1 (/ (- f n) (+ f n)))) into (exp (* -1 (/ (+ n f) (- f n)))) 4.700 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 4.700 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 4.700 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.700 * [taylor]: Taking taylor expansion of -1 in n 4.700 * [backup-simplify]: Simplify -1 into -1 4.700 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.700 * [taylor]: Taking taylor expansion of (+ n f) in n 4.700 * [taylor]: Taking taylor expansion of n in n 4.700 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify 1 into 1 4.700 * [taylor]: Taking taylor expansion of f in n 4.700 * [backup-simplify]: Simplify f into f 4.700 * [taylor]: Taking taylor expansion of (- f n) in n 4.700 * [taylor]: Taking taylor expansion of f in n 4.700 * [backup-simplify]: Simplify f into f 4.700 * [taylor]: Taking taylor expansion of n in n 4.700 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify 1 into 1 4.700 * [backup-simplify]: Simplify (+ 0 f) into f 4.700 * [backup-simplify]: Simplify (- 0) into 0 4.700 * [backup-simplify]: Simplify (+ f 0) into f 4.700 * [backup-simplify]: Simplify (/ f f) into 1 4.701 * [backup-simplify]: Simplify (* -1 1) into -1 4.701 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.701 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 4.701 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.701 * [taylor]: Taking taylor expansion of -1 in f 4.701 * [backup-simplify]: Simplify -1 into -1 4.701 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.701 * [taylor]: Taking taylor expansion of (+ n f) in f 4.701 * [taylor]: Taking taylor expansion of n in f 4.701 * [backup-simplify]: Simplify n into n 4.701 * [taylor]: Taking taylor expansion of f in f 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify 1 into 1 4.701 * [taylor]: Taking taylor expansion of (- f n) in f 4.701 * [taylor]: Taking taylor expansion of f in f 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify 1 into 1 4.701 * [taylor]: Taking taylor expansion of n in f 4.701 * [backup-simplify]: Simplify n into n 4.701 * [backup-simplify]: Simplify (+ n 0) into n 4.701 * [backup-simplify]: Simplify (- n) into (- n) 4.701 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.701 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.701 * [backup-simplify]: Simplify (* -1 -1) into 1 4.701 * [backup-simplify]: Simplify (exp 1) into E 4.701 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 4.701 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.701 * [taylor]: Taking taylor expansion of -1 in f 4.701 * [backup-simplify]: Simplify -1 into -1 4.702 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.702 * [taylor]: Taking taylor expansion of (+ n f) in f 4.702 * [taylor]: Taking taylor expansion of n in f 4.702 * [backup-simplify]: Simplify n into n 4.702 * [taylor]: Taking taylor expansion of f in f 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify 1 into 1 4.702 * [taylor]: Taking taylor expansion of (- f n) in f 4.702 * [taylor]: Taking taylor expansion of f in f 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify 1 into 1 4.702 * [taylor]: Taking taylor expansion of n in f 4.702 * [backup-simplify]: Simplify n into n 4.702 * [backup-simplify]: Simplify (+ n 0) into n 4.702 * [backup-simplify]: Simplify (- n) into (- n) 4.702 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.702 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.702 * [backup-simplify]: Simplify (* -1 -1) into 1 4.702 * [backup-simplify]: Simplify (exp 1) into E 4.702 * [taylor]: Taking taylor expansion of E in n 4.702 * [backup-simplify]: Simplify E into E 4.702 * [backup-simplify]: Simplify E into E 4.702 * [backup-simplify]: Simplify (+ 0 1) into 1 4.703 * [backup-simplify]: Simplify (- 0) into 0 4.703 * [backup-simplify]: Simplify (+ 1 0) into 1 4.703 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.703 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.704 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 4.704 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 4.704 * [taylor]: Taking taylor expansion of 2 in n 4.704 * [backup-simplify]: Simplify 2 into 2 4.704 * [taylor]: Taking taylor expansion of (/ E n) in n 4.704 * [taylor]: Taking taylor expansion of E in n 4.704 * [backup-simplify]: Simplify E into E 4.704 * [taylor]: Taking taylor expansion of n in n 4.704 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify 1 into 1 4.704 * [backup-simplify]: Simplify (/ E 1) into E 4.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 4.705 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify (+ 0 0) into 0 4.705 * [backup-simplify]: Simplify (- 0) into 0 4.706 * [backup-simplify]: Simplify (+ 0 0) into 0 4.706 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.706 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.707 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 4.707 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 4.707 * [taylor]: Taking taylor expansion of 4 in n 4.707 * [backup-simplify]: Simplify 4 into 4 4.707 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 4.707 * [taylor]: Taking taylor expansion of E in n 4.707 * [backup-simplify]: Simplify E into E 4.707 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.707 * [taylor]: Taking taylor expansion of n in n 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [backup-simplify]: Simplify (* 1 1) into 1 4.707 * [backup-simplify]: Simplify (/ E 1) into E 4.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 4.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.710 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.711 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify (+ 0 0) into 0 4.712 * [backup-simplify]: Simplify (- 0) into 0 4.712 * [backup-simplify]: Simplify (+ 0 0) into 0 4.712 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 4.713 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 4.713 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 4.714 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 4.714 * [taylor]: Taking taylor expansion of 22/3 in n 4.714 * [backup-simplify]: Simplify 22/3 into 22/3 4.714 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 4.714 * [taylor]: Taking taylor expansion of E in n 4.714 * [backup-simplify]: Simplify E into E 4.714 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.714 * [taylor]: Taking taylor expansion of n in n 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 1 into 1 4.714 * [backup-simplify]: Simplify (* 1 1) into 1 4.714 * [backup-simplify]: Simplify (* 1 1) into 1 4.714 * [backup-simplify]: Simplify (/ E 1) into E 4.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 4.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.724 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify E into E 4.724 * [backup-simplify]: Simplify (exp (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 4.724 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 4.725 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 4.725 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.725 * [taylor]: Taking taylor expansion of -1 in n 4.725 * [backup-simplify]: Simplify -1 into -1 4.725 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.725 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.725 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.725 * [taylor]: Taking taylor expansion of f in n 4.725 * [backup-simplify]: Simplify f into f 4.725 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.725 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.725 * [taylor]: Taking taylor expansion of n in n 4.725 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify 1 into 1 4.725 * [backup-simplify]: Simplify (/ 1 1) into 1 4.725 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.725 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.725 * [taylor]: Taking taylor expansion of f in n 4.725 * [backup-simplify]: Simplify f into f 4.725 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.725 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.725 * [taylor]: Taking taylor expansion of n in n 4.725 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify 1 into 1 4.725 * [backup-simplify]: Simplify (/ 1 1) into 1 4.726 * [backup-simplify]: Simplify (+ 0 1) into 1 4.726 * [backup-simplify]: Simplify (- 1) into -1 4.726 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.726 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.727 * [backup-simplify]: Simplify (* -1 -1) into 1 4.727 * [backup-simplify]: Simplify (exp 1) into E 4.727 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 4.727 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.727 * [taylor]: Taking taylor expansion of -1 in f 4.727 * [backup-simplify]: Simplify -1 into -1 4.727 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.727 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.727 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.727 * [taylor]: Taking taylor expansion of f in f 4.727 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify 1 into 1 4.727 * [backup-simplify]: Simplify (/ 1 1) into 1 4.727 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.727 * [taylor]: Taking taylor expansion of n in f 4.727 * [backup-simplify]: Simplify n into n 4.727 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.727 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.727 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.727 * [taylor]: Taking taylor expansion of f in f 4.727 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify 1 into 1 4.727 * [backup-simplify]: Simplify (/ 1 1) into 1 4.727 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.727 * [taylor]: Taking taylor expansion of n in f 4.727 * [backup-simplify]: Simplify n into n 4.728 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.728 * [backup-simplify]: Simplify (+ 1 0) into 1 4.728 * [backup-simplify]: Simplify (+ 1 0) into 1 4.728 * [backup-simplify]: Simplify (/ 1 1) into 1 4.728 * [backup-simplify]: Simplify (* -1 1) into -1 4.729 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.729 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 4.729 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.729 * [taylor]: Taking taylor expansion of -1 in f 4.729 * [backup-simplify]: Simplify -1 into -1 4.729 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.729 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.729 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.729 * [taylor]: Taking taylor expansion of f in f 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify 1 into 1 4.729 * [backup-simplify]: Simplify (/ 1 1) into 1 4.729 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.729 * [taylor]: Taking taylor expansion of n in f 4.729 * [backup-simplify]: Simplify n into n 4.729 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.729 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.729 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.729 * [taylor]: Taking taylor expansion of f in f 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify 1 into 1 4.730 * [backup-simplify]: Simplify (/ 1 1) into 1 4.730 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.730 * [taylor]: Taking taylor expansion of n in f 4.730 * [backup-simplify]: Simplify n into n 4.730 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.730 * [backup-simplify]: Simplify (+ 1 0) into 1 4.730 * [backup-simplify]: Simplify (+ 1 0) into 1 4.730 * [backup-simplify]: Simplify (/ 1 1) into 1 4.731 * [backup-simplify]: Simplify (* -1 1) into -1 4.731 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.731 * [taylor]: Taking taylor expansion of (exp -1) in n 4.731 * [taylor]: Taking taylor expansion of -1 in n 4.731 * [backup-simplify]: Simplify -1 into -1 4.731 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.731 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.732 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.732 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.732 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.733 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.733 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.734 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 4.734 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 4.734 * [taylor]: Taking taylor expansion of -2 in n 4.734 * [backup-simplify]: Simplify -2 into -2 4.734 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 4.734 * [taylor]: Taking taylor expansion of (exp -1) in n 4.734 * [taylor]: Taking taylor expansion of -1 in n 4.734 * [backup-simplify]: Simplify -1 into -1 4.734 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.734 * [taylor]: Taking taylor expansion of n in n 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.735 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 4.736 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 4.738 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 4.738 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.739 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.741 * [backup-simplify]: Simplify (+ 0 0) into 0 4.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.742 * [backup-simplify]: Simplify (- 0) into 0 4.742 * [backup-simplify]: Simplify (+ 0 0) into 0 4.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.744 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.745 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 4.745 * [taylor]: Taking taylor expansion of 0 in n 4.745 * [backup-simplify]: Simplify 0 into 0 4.745 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.749 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 4.749 * [backup-simplify]: Simplify 0 into 0 4.751 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.751 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.753 * [backup-simplify]: Simplify (+ 0 0) into 0 4.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.754 * [backup-simplify]: Simplify (- 0) into 0 4.755 * [backup-simplify]: Simplify (+ 0 0) into 0 4.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 4.757 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.759 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 4.759 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 4.759 * [taylor]: Taking taylor expansion of 2/3 in n 4.759 * [backup-simplify]: Simplify 2/3 into 2/3 4.759 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 4.759 * [taylor]: Taking taylor expansion of (exp -1) in n 4.759 * [taylor]: Taking taylor expansion of -1 in n 4.759 * [backup-simplify]: Simplify -1 into -1 4.759 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.759 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.759 * [taylor]: Taking taylor expansion of n in n 4.759 * [backup-simplify]: Simplify 0 into 0 4.760 * [backup-simplify]: Simplify 1 into 1 4.760 * [backup-simplify]: Simplify (* 1 1) into 1 4.760 * [backup-simplify]: Simplify (* 1 1) into 1 4.761 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 4.764 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.767 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 4.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.769 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.771 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.771 * [backup-simplify]: Simplify (exp (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 4.771 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 4.771 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 4.771 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.771 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.771 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.771 * [taylor]: Taking taylor expansion of f in n 4.771 * [backup-simplify]: Simplify f into f 4.772 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.772 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.772 * [taylor]: Taking taylor expansion of n in n 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 1 into 1 4.772 * [backup-simplify]: Simplify (/ 1 1) into 1 4.772 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.772 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.772 * [taylor]: Taking taylor expansion of n in n 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 1 into 1 4.772 * [backup-simplify]: Simplify (/ 1 1) into 1 4.772 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.772 * [taylor]: Taking taylor expansion of f in n 4.772 * [backup-simplify]: Simplify f into f 4.772 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.772 * [backup-simplify]: Simplify (+ 0 1) into 1 4.773 * [backup-simplify]: Simplify (+ 1 0) into 1 4.773 * [backup-simplify]: Simplify (/ 1 1) into 1 4.773 * [backup-simplify]: Simplify (exp 1) into E 4.773 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 4.773 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.773 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.773 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.773 * [taylor]: Taking taylor expansion of f in f 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 1 into 1 4.773 * [backup-simplify]: Simplify (/ 1 1) into 1 4.773 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.773 * [taylor]: Taking taylor expansion of n in f 4.773 * [backup-simplify]: Simplify n into n 4.773 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.773 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.773 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.773 * [taylor]: Taking taylor expansion of n in f 4.773 * [backup-simplify]: Simplify n into n 4.774 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.774 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.774 * [taylor]: Taking taylor expansion of f in f 4.774 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify 1 into 1 4.774 * [backup-simplify]: Simplify (/ 1 1) into 1 4.774 * [backup-simplify]: Simplify (+ 1 0) into 1 4.774 * [backup-simplify]: Simplify (- 1) into -1 4.774 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.775 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.775 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.775 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 4.775 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.775 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.775 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.775 * [taylor]: Taking taylor expansion of f in f 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 1 into 1 4.775 * [backup-simplify]: Simplify (/ 1 1) into 1 4.775 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.775 * [taylor]: Taking taylor expansion of n in f 4.775 * [backup-simplify]: Simplify n into n 4.775 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.775 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.775 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.775 * [taylor]: Taking taylor expansion of n in f 4.776 * [backup-simplify]: Simplify n into n 4.776 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.776 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.776 * [taylor]: Taking taylor expansion of f in f 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify 1 into 1 4.776 * [backup-simplify]: Simplify (/ 1 1) into 1 4.776 * [backup-simplify]: Simplify (+ 1 0) into 1 4.776 * [backup-simplify]: Simplify (- 1) into -1 4.777 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.777 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.777 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.777 * [taylor]: Taking taylor expansion of (exp -1) in n 4.777 * [taylor]: Taking taylor expansion of -1 in n 4.777 * [backup-simplify]: Simplify -1 into -1 4.777 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.778 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.778 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.779 * [backup-simplify]: Simplify (- 0) into 0 4.779 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.779 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.779 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 4.779 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 4.779 * [taylor]: Taking taylor expansion of -2 in n 4.779 * [backup-simplify]: Simplify -2 into -2 4.779 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 4.779 * [taylor]: Taking taylor expansion of (exp -1) in n 4.779 * [taylor]: Taking taylor expansion of -1 in n 4.779 * [backup-simplify]: Simplify -1 into -1 4.780 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.780 * [taylor]: Taking taylor expansion of n in n 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify 1 into 1 4.780 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 4.781 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 4.782 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.782 * [backup-simplify]: Simplify 0 into 0 4.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.783 * [backup-simplify]: Simplify (+ 0 0) into 0 4.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.784 * [backup-simplify]: Simplify (- 0) into 0 4.784 * [backup-simplify]: Simplify (+ 0 0) into 0 4.785 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.786 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 4.786 * [taylor]: Taking taylor expansion of 0 in n 4.786 * [backup-simplify]: Simplify 0 into 0 4.786 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.788 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 4.788 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.790 * [backup-simplify]: Simplify (+ 0 0) into 0 4.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.790 * [backup-simplify]: Simplify (- 0) into 0 4.791 * [backup-simplify]: Simplify (+ 0 0) into 0 4.792 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.793 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 4.793 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 4.793 * [taylor]: Taking taylor expansion of 2/3 in n 4.793 * [backup-simplify]: Simplify 2/3 into 2/3 4.793 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 4.793 * [taylor]: Taking taylor expansion of (exp -1) in n 4.793 * [taylor]: Taking taylor expansion of -1 in n 4.793 * [backup-simplify]: Simplify -1 into -1 4.793 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.793 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.793 * [taylor]: Taking taylor expansion of n in n 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify 1 into 1 4.793 * [backup-simplify]: Simplify (* 1 1) into 1 4.794 * [backup-simplify]: Simplify (* 1 1) into 1 4.795 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 4.797 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.801 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 4.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.806 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.809 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 4.809 * [backup-simplify]: Simplify 0 into 0 4.810 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.810 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.810 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 4.810 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.810 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.810 * [taylor]: Taking taylor expansion of -1 in n 4.810 * [backup-simplify]: Simplify -1 into -1 4.810 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.810 * [taylor]: Taking taylor expansion of (+ n f) in n 4.810 * [taylor]: Taking taylor expansion of n in n 4.811 * [backup-simplify]: Simplify 0 into 0 4.811 * [backup-simplify]: Simplify 1 into 1 4.811 * [taylor]: Taking taylor expansion of f in n 4.811 * [backup-simplify]: Simplify f into f 4.811 * [taylor]: Taking taylor expansion of (- f n) in n 4.811 * [taylor]: Taking taylor expansion of f in n 4.811 * [backup-simplify]: Simplify f into f 4.811 * [taylor]: Taking taylor expansion of n in n 4.811 * [backup-simplify]: Simplify 0 into 0 4.811 * [backup-simplify]: Simplify 1 into 1 4.811 * [backup-simplify]: Simplify (+ 0 f) into f 4.811 * [backup-simplify]: Simplify (- 0) into 0 4.811 * [backup-simplify]: Simplify (+ f 0) into f 4.811 * [backup-simplify]: Simplify (/ f f) into 1 4.811 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.811 * [taylor]: Taking taylor expansion of -1 in f 4.811 * [backup-simplify]: Simplify -1 into -1 4.811 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.812 * [taylor]: Taking taylor expansion of (+ n f) in f 4.812 * [taylor]: Taking taylor expansion of n in f 4.812 * [backup-simplify]: Simplify n into n 4.812 * [taylor]: Taking taylor expansion of f in f 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify 1 into 1 4.812 * [taylor]: Taking taylor expansion of (- f n) in f 4.812 * [taylor]: Taking taylor expansion of f in f 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify 1 into 1 4.812 * [taylor]: Taking taylor expansion of n in f 4.812 * [backup-simplify]: Simplify n into n 4.812 * [backup-simplify]: Simplify (+ n 0) into n 4.812 * [backup-simplify]: Simplify (- n) into (- n) 4.812 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.812 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.812 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.812 * [taylor]: Taking taylor expansion of -1 in f 4.812 * [backup-simplify]: Simplify -1 into -1 4.812 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.812 * [taylor]: Taking taylor expansion of (+ n f) in f 4.812 * [taylor]: Taking taylor expansion of n in f 4.812 * [backup-simplify]: Simplify n into n 4.812 * [taylor]: Taking taylor expansion of f in f 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify 1 into 1 4.812 * [taylor]: Taking taylor expansion of (- f n) in f 4.812 * [taylor]: Taking taylor expansion of f in f 4.812 * [backup-simplify]: Simplify 0 into 0 4.813 * [backup-simplify]: Simplify 1 into 1 4.813 * [taylor]: Taking taylor expansion of n in f 4.813 * [backup-simplify]: Simplify n into n 4.813 * [backup-simplify]: Simplify (+ n 0) into n 4.813 * [backup-simplify]: Simplify (- n) into (- n) 4.813 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.813 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.813 * [backup-simplify]: Simplify (* -1 -1) into 1 4.813 * [taylor]: Taking taylor expansion of 1 in n 4.813 * [backup-simplify]: Simplify 1 into 1 4.813 * [backup-simplify]: Simplify 1 into 1 4.814 * [backup-simplify]: Simplify (+ 0 1) into 1 4.814 * [backup-simplify]: Simplify (- 0) into 0 4.815 * [backup-simplify]: Simplify (+ 1 0) into 1 4.815 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.815 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.815 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.815 * [taylor]: Taking taylor expansion of 2 in n 4.816 * [backup-simplify]: Simplify 2 into 2 4.816 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.816 * [taylor]: Taking taylor expansion of n in n 4.816 * [backup-simplify]: Simplify 0 into 0 4.816 * [backup-simplify]: Simplify 1 into 1 4.816 * [backup-simplify]: Simplify (/ 1 1) into 1 4.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.817 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify (+ 0 0) into 0 4.818 * [backup-simplify]: Simplify (- 0) into 0 4.819 * [backup-simplify]: Simplify (+ 0 0) into 0 4.819 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.820 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.820 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.820 * [taylor]: Taking taylor expansion of 2 in n 4.820 * [backup-simplify]: Simplify 2 into 2 4.820 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.820 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.820 * [taylor]: Taking taylor expansion of n in n 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify 1 into 1 4.821 * [backup-simplify]: Simplify (* 1 1) into 1 4.821 * [backup-simplify]: Simplify (/ 1 1) into 1 4.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.825 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.828 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify (+ 0 0) into 0 4.829 * [backup-simplify]: Simplify (- 0) into 0 4.829 * [backup-simplify]: Simplify (+ 0 0) into 0 4.830 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 4.831 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 4.831 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.831 * [taylor]: Taking taylor expansion of 2 in n 4.831 * [backup-simplify]: Simplify 2 into 2 4.832 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.832 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.832 * [taylor]: Taking taylor expansion of n in n 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify 1 into 1 4.832 * [backup-simplify]: Simplify (* 1 1) into 1 4.832 * [backup-simplify]: Simplify (* 1 1) into 1 4.833 * [backup-simplify]: Simplify (/ 1 1) into 1 4.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.848 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.848 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.849 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.849 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.849 * [taylor]: Taking taylor expansion of -1 in n 4.849 * [backup-simplify]: Simplify -1 into -1 4.849 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.849 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.849 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.849 * [taylor]: Taking taylor expansion of f in n 4.849 * [backup-simplify]: Simplify f into f 4.849 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.849 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.849 * [taylor]: Taking taylor expansion of n in n 4.849 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify 1 into 1 4.849 * [backup-simplify]: Simplify (/ 1 1) into 1 4.849 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.849 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.849 * [taylor]: Taking taylor expansion of f in n 4.849 * [backup-simplify]: Simplify f into f 4.850 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.850 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.850 * [taylor]: Taking taylor expansion of n in n 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 1 into 1 4.850 * [backup-simplify]: Simplify (/ 1 1) into 1 4.850 * [backup-simplify]: Simplify (+ 0 1) into 1 4.851 * [backup-simplify]: Simplify (- 1) into -1 4.851 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.852 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.852 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.852 * [taylor]: Taking taylor expansion of -1 in f 4.852 * [backup-simplify]: Simplify -1 into -1 4.852 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.852 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.852 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.852 * [taylor]: Taking taylor expansion of f in f 4.852 * [backup-simplify]: Simplify 0 into 0 4.852 * [backup-simplify]: Simplify 1 into 1 4.852 * [backup-simplify]: Simplify (/ 1 1) into 1 4.852 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.852 * [taylor]: Taking taylor expansion of n in f 4.852 * [backup-simplify]: Simplify n into n 4.853 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.853 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.853 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.853 * [taylor]: Taking taylor expansion of f in f 4.853 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify 1 into 1 4.853 * [backup-simplify]: Simplify (/ 1 1) into 1 4.853 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.853 * [taylor]: Taking taylor expansion of n in f 4.853 * [backup-simplify]: Simplify n into n 4.853 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.853 * [backup-simplify]: Simplify (+ 1 0) into 1 4.854 * [backup-simplify]: Simplify (+ 1 0) into 1 4.854 * [backup-simplify]: Simplify (/ 1 1) into 1 4.854 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.854 * [taylor]: Taking taylor expansion of -1 in f 4.854 * [backup-simplify]: Simplify -1 into -1 4.854 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.854 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.854 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.854 * [taylor]: Taking taylor expansion of f in f 4.854 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify 1 into 1 4.854 * [backup-simplify]: Simplify (/ 1 1) into 1 4.854 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.854 * [taylor]: Taking taylor expansion of n in f 4.854 * [backup-simplify]: Simplify n into n 4.854 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.854 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.854 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.854 * [taylor]: Taking taylor expansion of f in f 4.854 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify 1 into 1 4.855 * [backup-simplify]: Simplify (/ 1 1) into 1 4.855 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.855 * [taylor]: Taking taylor expansion of n in f 4.855 * [backup-simplify]: Simplify n into n 4.855 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.855 * [backup-simplify]: Simplify (+ 1 0) into 1 4.855 * [backup-simplify]: Simplify (+ 1 0) into 1 4.855 * [backup-simplify]: Simplify (/ 1 1) into 1 4.856 * [backup-simplify]: Simplify (* -1 1) into -1 4.856 * [taylor]: Taking taylor expansion of -1 in n 4.856 * [backup-simplify]: Simplify -1 into -1 4.856 * [backup-simplify]: Simplify -1 into -1 4.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.856 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.857 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.857 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.857 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.857 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.857 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.857 * [taylor]: Taking taylor expansion of 2 in n 4.857 * [backup-simplify]: Simplify 2 into 2 4.857 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.857 * [taylor]: Taking taylor expansion of n in n 4.857 * [backup-simplify]: Simplify 0 into 0 4.857 * [backup-simplify]: Simplify 1 into 1 4.858 * [backup-simplify]: Simplify (/ 1 1) into 1 4.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.858 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.859 * [backup-simplify]: Simplify (- 0) into 0 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.859 * [backup-simplify]: Simplify (+ 0 0) into 0 4.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.860 * [backup-simplify]: Simplify (- 0) into 0 4.860 * [backup-simplify]: Simplify (+ 0 0) into 0 4.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.862 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.862 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.862 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.862 * [taylor]: Taking taylor expansion of 2 in n 4.862 * [backup-simplify]: Simplify 2 into 2 4.862 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.862 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.862 * [taylor]: Taking taylor expansion of n in n 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 1 into 1 4.862 * [backup-simplify]: Simplify (* 1 1) into 1 4.862 * [backup-simplify]: Simplify (/ 1 1) into 1 4.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.864 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.865 * [backup-simplify]: Simplify (- 0) into 0 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.866 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.866 * [backup-simplify]: Simplify (- 0) into 0 4.866 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.867 * [backup-simplify]: Simplify (+ 0 0) into 0 4.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.868 * [backup-simplify]: Simplify (- 0) into 0 4.868 * [backup-simplify]: Simplify (+ 0 0) into 0 4.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 4.869 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.869 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.869 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.869 * [taylor]: Taking taylor expansion of 2 in n 4.869 * [backup-simplify]: Simplify 2 into 2 4.869 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.869 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.870 * [taylor]: Taking taylor expansion of n in n 4.870 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify 1 into 1 4.870 * [backup-simplify]: Simplify (* 1 1) into 1 4.870 * [backup-simplify]: Simplify (* 1 1) into 1 4.870 * [backup-simplify]: Simplify (/ 1 1) into 1 4.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.875 * [backup-simplify]: Simplify (- 0) into 0 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify -1 into -1 4.876 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.876 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.876 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.876 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.876 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.876 * [taylor]: Taking taylor expansion of f in n 4.876 * [backup-simplify]: Simplify f into f 4.876 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.876 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.876 * [taylor]: Taking taylor expansion of n in n 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 1 into 1 4.876 * [backup-simplify]: Simplify (/ 1 1) into 1 4.876 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.876 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.876 * [taylor]: Taking taylor expansion of n in n 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 1 into 1 4.876 * [backup-simplify]: Simplify (/ 1 1) into 1 4.876 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.876 * [taylor]: Taking taylor expansion of f in n 4.876 * [backup-simplify]: Simplify f into f 4.877 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.877 * [backup-simplify]: Simplify (+ 0 1) into 1 4.877 * [backup-simplify]: Simplify (+ 1 0) into 1 4.877 * [backup-simplify]: Simplify (/ 1 1) into 1 4.877 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.877 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.877 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.877 * [taylor]: Taking taylor expansion of f in f 4.877 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify 1 into 1 4.878 * [backup-simplify]: Simplify (/ 1 1) into 1 4.878 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.878 * [taylor]: Taking taylor expansion of n in f 4.878 * [backup-simplify]: Simplify n into n 4.878 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.878 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.878 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.878 * [taylor]: Taking taylor expansion of n in f 4.878 * [backup-simplify]: Simplify n into n 4.878 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.878 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.878 * [taylor]: Taking taylor expansion of f in f 4.878 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify 1 into 1 4.878 * [backup-simplify]: Simplify (/ 1 1) into 1 4.878 * [backup-simplify]: Simplify (+ 1 0) into 1 4.879 * [backup-simplify]: Simplify (- 1) into -1 4.879 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.879 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.879 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.879 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.879 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.879 * [taylor]: Taking taylor expansion of f in f 4.879 * [backup-simplify]: Simplify 0 into 0 4.879 * [backup-simplify]: Simplify 1 into 1 4.879 * [backup-simplify]: Simplify (/ 1 1) into 1 4.879 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.879 * [taylor]: Taking taylor expansion of n in f 4.879 * [backup-simplify]: Simplify n into n 4.879 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.879 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.879 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.879 * [taylor]: Taking taylor expansion of n in f 4.880 * [backup-simplify]: Simplify n into n 4.880 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.880 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.880 * [taylor]: Taking taylor expansion of f in f 4.880 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify 1 into 1 4.880 * [backup-simplify]: Simplify (/ 1 1) into 1 4.880 * [backup-simplify]: Simplify (+ 1 0) into 1 4.880 * [backup-simplify]: Simplify (- 1) into -1 4.881 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.881 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.881 * [taylor]: Taking taylor expansion of -1 in n 4.881 * [backup-simplify]: Simplify -1 into -1 4.881 * [backup-simplify]: Simplify -1 into -1 4.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.881 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.882 * [backup-simplify]: Simplify (- 0) into 0 4.882 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.882 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.882 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.882 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.882 * [taylor]: Taking taylor expansion of 2 in n 4.882 * [backup-simplify]: Simplify 2 into 2 4.882 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.882 * [taylor]: Taking taylor expansion of n in n 4.882 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify 1 into 1 4.883 * [backup-simplify]: Simplify (/ 1 1) into 1 4.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.883 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.884 * [backup-simplify]: Simplify (- 0) into 0 4.884 * [backup-simplify]: Simplify 0 into 0 4.884 * [backup-simplify]: Simplify 0 into 0 4.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.884 * [backup-simplify]: Simplify (+ 0 0) into 0 4.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.885 * [backup-simplify]: Simplify (- 0) into 0 4.885 * [backup-simplify]: Simplify (+ 0 0) into 0 4.886 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.886 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.886 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.886 * [taylor]: Taking taylor expansion of 2 in n 4.886 * [backup-simplify]: Simplify 2 into 2 4.886 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.886 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.886 * [taylor]: Taking taylor expansion of n in n 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 1 into 1 4.886 * [backup-simplify]: Simplify (* 1 1) into 1 4.887 * [backup-simplify]: Simplify (/ 1 1) into 1 4.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.889 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.889 * [backup-simplify]: Simplify (- 0) into 0 4.889 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.890 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.890 * [backup-simplify]: Simplify (- 0) into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.891 * [backup-simplify]: Simplify (+ 0 0) into 0 4.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.892 * [backup-simplify]: Simplify (- 0) into 0 4.892 * [backup-simplify]: Simplify (+ 0 0) into 0 4.893 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.893 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.893 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.893 * [taylor]: Taking taylor expansion of 2 in n 4.893 * [backup-simplify]: Simplify 2 into 2 4.893 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.893 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.893 * [taylor]: Taking taylor expansion of n in n 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 1 into 1 4.894 * [backup-simplify]: Simplify (* 1 1) into 1 4.894 * [backup-simplify]: Simplify (* 1 1) into 1 4.894 * [backup-simplify]: Simplify (/ 1 1) into 1 4.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.899 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.899 * [backup-simplify]: Simplify (- 0) into 0 4.899 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify -1 into -1 4.899 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.899 * [backup-simplify]: Simplify (log (exp (/ -1 (/ (- f n) (+ f n))))) into (* -1 (/ (+ n f) (- f n))) 4.900 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.900 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.900 * [taylor]: Taking taylor expansion of -1 in n 4.900 * [backup-simplify]: Simplify -1 into -1 4.900 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.900 * [taylor]: Taking taylor expansion of (+ n f) in n 4.900 * [taylor]: Taking taylor expansion of n in n 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify 1 into 1 4.900 * [taylor]: Taking taylor expansion of f in n 4.900 * [backup-simplify]: Simplify f into f 4.900 * [taylor]: Taking taylor expansion of (- f n) in n 4.900 * [taylor]: Taking taylor expansion of f in n 4.900 * [backup-simplify]: Simplify f into f 4.900 * [taylor]: Taking taylor expansion of n in n 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify 1 into 1 4.900 * [backup-simplify]: Simplify (+ 0 f) into f 4.900 * [backup-simplify]: Simplify (- 0) into 0 4.900 * [backup-simplify]: Simplify (+ f 0) into f 4.900 * [backup-simplify]: Simplify (/ f f) into 1 4.900 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.900 * [taylor]: Taking taylor expansion of -1 in f 4.900 * [backup-simplify]: Simplify -1 into -1 4.900 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.900 * [taylor]: Taking taylor expansion of (+ n f) in f 4.900 * [taylor]: Taking taylor expansion of n in f 4.900 * [backup-simplify]: Simplify n into n 4.900 * [taylor]: Taking taylor expansion of f in f 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify 1 into 1 4.900 * [taylor]: Taking taylor expansion of (- f n) in f 4.900 * [taylor]: Taking taylor expansion of f in f 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify 1 into 1 4.900 * [taylor]: Taking taylor expansion of n in f 4.900 * [backup-simplify]: Simplify n into n 4.900 * [backup-simplify]: Simplify (+ n 0) into n 4.900 * [backup-simplify]: Simplify (- n) into (- n) 4.900 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.900 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.901 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.901 * [taylor]: Taking taylor expansion of -1 in f 4.901 * [backup-simplify]: Simplify -1 into -1 4.901 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.901 * [taylor]: Taking taylor expansion of (+ n f) in f 4.901 * [taylor]: Taking taylor expansion of n in f 4.901 * [backup-simplify]: Simplify n into n 4.901 * [taylor]: Taking taylor expansion of f in f 4.901 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify 1 into 1 4.901 * [taylor]: Taking taylor expansion of (- f n) in f 4.901 * [taylor]: Taking taylor expansion of f in f 4.901 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify 1 into 1 4.901 * [taylor]: Taking taylor expansion of n in f 4.901 * [backup-simplify]: Simplify n into n 4.901 * [backup-simplify]: Simplify (+ n 0) into n 4.901 * [backup-simplify]: Simplify (- n) into (- n) 4.901 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.901 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.901 * [backup-simplify]: Simplify (* -1 -1) into 1 4.901 * [taylor]: Taking taylor expansion of 1 in n 4.901 * [backup-simplify]: Simplify 1 into 1 4.901 * [backup-simplify]: Simplify 1 into 1 4.902 * [backup-simplify]: Simplify (+ 0 1) into 1 4.902 * [backup-simplify]: Simplify (- 0) into 0 4.903 * [backup-simplify]: Simplify (+ 1 0) into 1 4.903 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.903 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.903 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.904 * [taylor]: Taking taylor expansion of 2 in n 4.904 * [backup-simplify]: Simplify 2 into 2 4.904 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.904 * [taylor]: Taking taylor expansion of n in n 4.904 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify 1 into 1 4.904 * [backup-simplify]: Simplify (/ 1 1) into 1 4.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.905 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.905 * [backup-simplify]: Simplify 0 into 0 4.906 * [backup-simplify]: Simplify 0 into 0 4.906 * [backup-simplify]: Simplify (+ 0 0) into 0 4.906 * [backup-simplify]: Simplify (- 0) into 0 4.907 * [backup-simplify]: Simplify (+ 0 0) into 0 4.907 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.908 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.908 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.908 * [taylor]: Taking taylor expansion of 2 in n 4.908 * [backup-simplify]: Simplify 2 into 2 4.908 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.908 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.908 * [taylor]: Taking taylor expansion of n in n 4.908 * [backup-simplify]: Simplify 0 into 0 4.908 * [backup-simplify]: Simplify 1 into 1 4.908 * [backup-simplify]: Simplify (* 1 1) into 1 4.909 * [backup-simplify]: Simplify (/ 1 1) into 1 4.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.913 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.915 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify (+ 0 0) into 0 4.916 * [backup-simplify]: Simplify (- 0) into 0 4.916 * [backup-simplify]: Simplify (+ 0 0) into 0 4.917 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 4.918 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 4.918 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.918 * [taylor]: Taking taylor expansion of 2 in n 4.918 * [backup-simplify]: Simplify 2 into 2 4.918 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.918 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.918 * [taylor]: Taking taylor expansion of n in n 4.918 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify 1 into 1 4.918 * [backup-simplify]: Simplify (* 1 1) into 1 4.919 * [backup-simplify]: Simplify (* 1 1) into 1 4.919 * [backup-simplify]: Simplify (/ 1 1) into 1 4.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 1 into 1 4.928 * [backup-simplify]: Simplify (log (exp (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.928 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.929 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.929 * [taylor]: Taking taylor expansion of -1 in n 4.929 * [backup-simplify]: Simplify -1 into -1 4.929 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.929 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.929 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.929 * [taylor]: Taking taylor expansion of f in n 4.929 * [backup-simplify]: Simplify f into f 4.929 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.929 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.929 * [taylor]: Taking taylor expansion of n in n 4.929 * [backup-simplify]: Simplify 0 into 0 4.929 * [backup-simplify]: Simplify 1 into 1 4.929 * [backup-simplify]: Simplify (/ 1 1) into 1 4.929 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.929 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.929 * [taylor]: Taking taylor expansion of f in n 4.929 * [backup-simplify]: Simplify f into f 4.930 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.930 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.930 * [taylor]: Taking taylor expansion of n in n 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (/ 1 1) into 1 4.930 * [backup-simplify]: Simplify (+ 0 1) into 1 4.931 * [backup-simplify]: Simplify (- 1) into -1 4.931 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.932 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.932 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.932 * [taylor]: Taking taylor expansion of -1 in f 4.932 * [backup-simplify]: Simplify -1 into -1 4.932 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.932 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.932 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.932 * [taylor]: Taking taylor expansion of f in f 4.932 * [backup-simplify]: Simplify 0 into 0 4.932 * [backup-simplify]: Simplify 1 into 1 4.932 * [backup-simplify]: Simplify (/ 1 1) into 1 4.932 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.932 * [taylor]: Taking taylor expansion of n in f 4.932 * [backup-simplify]: Simplify n into n 4.932 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.933 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.933 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.933 * [taylor]: Taking taylor expansion of f in f 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 1 into 1 4.933 * [backup-simplify]: Simplify (/ 1 1) into 1 4.933 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.933 * [taylor]: Taking taylor expansion of n in f 4.933 * [backup-simplify]: Simplify n into n 4.933 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.934 * [backup-simplify]: Simplify (+ 1 0) into 1 4.934 * [backup-simplify]: Simplify (+ 1 0) into 1 4.934 * [backup-simplify]: Simplify (/ 1 1) into 1 4.934 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.934 * [taylor]: Taking taylor expansion of -1 in f 4.935 * [backup-simplify]: Simplify -1 into -1 4.935 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.935 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.935 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.935 * [taylor]: Taking taylor expansion of f in f 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify 1 into 1 4.935 * [backup-simplify]: Simplify (/ 1 1) into 1 4.935 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.935 * [taylor]: Taking taylor expansion of n in f 4.935 * [backup-simplify]: Simplify n into n 4.935 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.935 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.935 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.935 * [taylor]: Taking taylor expansion of f in f 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify 1 into 1 4.936 * [backup-simplify]: Simplify (/ 1 1) into 1 4.936 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.936 * [taylor]: Taking taylor expansion of n in f 4.936 * [backup-simplify]: Simplify n into n 4.936 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.936 * [backup-simplify]: Simplify (+ 1 0) into 1 4.937 * [backup-simplify]: Simplify (+ 1 0) into 1 4.937 * [backup-simplify]: Simplify (/ 1 1) into 1 4.938 * [backup-simplify]: Simplify (* -1 1) into -1 4.938 * [taylor]: Taking taylor expansion of -1 in n 4.938 * [backup-simplify]: Simplify -1 into -1 4.938 * [backup-simplify]: Simplify -1 into -1 4.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.939 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.939 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.940 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.940 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.940 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.940 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.940 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.940 * [taylor]: Taking taylor expansion of 2 in n 4.940 * [backup-simplify]: Simplify 2 into 2 4.941 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.941 * [taylor]: Taking taylor expansion of n in n 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify 1 into 1 4.941 * [backup-simplify]: Simplify (/ 1 1) into 1 4.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.942 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.943 * [backup-simplify]: Simplify (- 0) into 0 4.943 * [backup-simplify]: Simplify 0 into 0 4.943 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.944 * [backup-simplify]: Simplify (+ 0 0) into 0 4.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.946 * [backup-simplify]: Simplify (- 0) into 0 4.946 * [backup-simplify]: Simplify (+ 0 0) into 0 4.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.948 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.948 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.948 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.948 * [taylor]: Taking taylor expansion of 2 in n 4.948 * [backup-simplify]: Simplify 2 into 2 4.948 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.948 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.948 * [taylor]: Taking taylor expansion of n in n 4.948 * [backup-simplify]: Simplify 0 into 0 4.948 * [backup-simplify]: Simplify 1 into 1 4.949 * [backup-simplify]: Simplify (* 1 1) into 1 4.949 * [backup-simplify]: Simplify (/ 1 1) into 1 4.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.953 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.954 * [backup-simplify]: Simplify (- 0) into 0 4.954 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.962 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.962 * [backup-simplify]: Simplify (- 0) into 0 4.963 * [backup-simplify]: Simplify 0 into 0 4.963 * [backup-simplify]: Simplify 0 into 0 4.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.964 * [backup-simplify]: Simplify (+ 0 0) into 0 4.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.966 * [backup-simplify]: Simplify (- 0) into 0 4.966 * [backup-simplify]: Simplify (+ 0 0) into 0 4.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 4.969 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.969 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.969 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.969 * [taylor]: Taking taylor expansion of 2 in n 4.969 * [backup-simplify]: Simplify 2 into 2 4.969 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.969 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.969 * [taylor]: Taking taylor expansion of n in n 4.969 * [backup-simplify]: Simplify 0 into 0 4.969 * [backup-simplify]: Simplify 1 into 1 4.970 * [backup-simplify]: Simplify (* 1 1) into 1 4.970 * [backup-simplify]: Simplify (* 1 1) into 1 4.970 * [backup-simplify]: Simplify (/ 1 1) into 1 4.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.980 * [backup-simplify]: Simplify (- 0) into 0 4.980 * [backup-simplify]: Simplify 0 into 0 4.980 * [backup-simplify]: Simplify -1 into -1 4.980 * [backup-simplify]: Simplify (log (exp (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.980 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.981 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.981 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.981 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.981 * [taylor]: Taking taylor expansion of f in n 4.981 * [backup-simplify]: Simplify f into f 4.981 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.981 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.981 * [taylor]: Taking taylor expansion of n in n 4.981 * [backup-simplify]: Simplify 0 into 0 4.981 * [backup-simplify]: Simplify 1 into 1 4.981 * [backup-simplify]: Simplify (/ 1 1) into 1 4.981 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.981 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.981 * [taylor]: Taking taylor expansion of n in n 4.981 * [backup-simplify]: Simplify 0 into 0 4.981 * [backup-simplify]: Simplify 1 into 1 4.982 * [backup-simplify]: Simplify (/ 1 1) into 1 4.982 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.982 * [taylor]: Taking taylor expansion of f in n 4.982 * [backup-simplify]: Simplify f into f 4.982 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.982 * [backup-simplify]: Simplify (+ 0 1) into 1 4.983 * [backup-simplify]: Simplify (+ 1 0) into 1 4.983 * [backup-simplify]: Simplify (/ 1 1) into 1 4.983 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.983 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.983 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.983 * [taylor]: Taking taylor expansion of f in f 4.983 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify 1 into 1 4.984 * [backup-simplify]: Simplify (/ 1 1) into 1 4.984 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.984 * [taylor]: Taking taylor expansion of n in f 4.984 * [backup-simplify]: Simplify n into n 4.984 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.984 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.984 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.984 * [taylor]: Taking taylor expansion of n in f 4.984 * [backup-simplify]: Simplify n into n 4.984 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.984 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.984 * [taylor]: Taking taylor expansion of f in f 4.984 * [backup-simplify]: Simplify 0 into 0 4.984 * [backup-simplify]: Simplify 1 into 1 4.985 * [backup-simplify]: Simplify (/ 1 1) into 1 4.985 * [backup-simplify]: Simplify (+ 1 0) into 1 4.986 * [backup-simplify]: Simplify (- 1) into -1 4.986 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.987 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.987 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.987 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.987 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.987 * [taylor]: Taking taylor expansion of f in f 4.987 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify 1 into 1 4.987 * [backup-simplify]: Simplify (/ 1 1) into 1 4.987 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.987 * [taylor]: Taking taylor expansion of n in f 4.987 * [backup-simplify]: Simplify n into n 4.987 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.987 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.987 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.987 * [taylor]: Taking taylor expansion of n in f 4.988 * [backup-simplify]: Simplify n into n 4.988 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.988 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.988 * [taylor]: Taking taylor expansion of f in f 4.988 * [backup-simplify]: Simplify 0 into 0 4.988 * [backup-simplify]: Simplify 1 into 1 4.988 * [backup-simplify]: Simplify (/ 1 1) into 1 4.989 * [backup-simplify]: Simplify (+ 1 0) into 1 4.989 * [backup-simplify]: Simplify (- 1) into -1 4.989 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.990 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.990 * [taylor]: Taking taylor expansion of -1 in n 4.990 * [backup-simplify]: Simplify -1 into -1 4.990 * [backup-simplify]: Simplify -1 into -1 4.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.991 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.992 * [backup-simplify]: Simplify (- 0) into 0 4.992 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.992 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.992 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.992 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.992 * [taylor]: Taking taylor expansion of 2 in n 4.992 * [backup-simplify]: Simplify 2 into 2 4.993 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.993 * [taylor]: Taking taylor expansion of n in n 4.993 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify 1 into 1 4.993 * [backup-simplify]: Simplify (/ 1 1) into 1 4.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.995 * [backup-simplify]: Simplify (- 0) into 0 4.995 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify 0 into 0 4.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.996 * [backup-simplify]: Simplify (+ 0 0) into 0 4.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.998 * [backup-simplify]: Simplify (- 0) into 0 4.998 * [backup-simplify]: Simplify (+ 0 0) into 0 4.999 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.999 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.000 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.000 * [taylor]: Taking taylor expansion of 2 in n 5.000 * [backup-simplify]: Simplify 2 into 2 5.000 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.000 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.000 * [taylor]: Taking taylor expansion of n in n 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify 1 into 1 5.000 * [backup-simplify]: Simplify (* 1 1) into 1 5.001 * [backup-simplify]: Simplify (/ 1 1) into 1 5.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.005 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.005 * [backup-simplify]: Simplify (- 0) into 0 5.005 * [backup-simplify]: Simplify 0 into 0 5.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.007 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.008 * [backup-simplify]: Simplify (- 0) into 0 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.010 * [backup-simplify]: Simplify (+ 0 0) into 0 5.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.011 * [backup-simplify]: Simplify (- 0) into 0 5.012 * [backup-simplify]: Simplify (+ 0 0) into 0 5.014 * [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)))) 5.014 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.014 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.014 * [taylor]: Taking taylor expansion of 2 in n 5.014 * [backup-simplify]: Simplify 2 into 2 5.014 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.014 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.014 * [taylor]: Taking taylor expansion of n in n 5.014 * [backup-simplify]: Simplify 0 into 0 5.014 * [backup-simplify]: Simplify 1 into 1 5.014 * [backup-simplify]: Simplify (* 1 1) into 1 5.015 * [backup-simplify]: Simplify (* 1 1) into 1 5.015 * [backup-simplify]: Simplify (/ 1 1) into 1 5.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.024 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.024 * [backup-simplify]: Simplify (- 0) into 0 5.024 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify -1 into -1 5.024 * * * [progress]: simplifying candidates 5.035 * [simplify]: Simplifying: (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ 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)) (exp (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n)))))) (exp (sqrt (/ -1 (/ (- f n) (+ f n))))) (exp (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))))) (exp (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n))))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (sqrt (+ f n))))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n))))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ 1 1))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ 1 1))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n))))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ 1 1))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ 1 1))) (exp (/ (* (cbrt -1) (cbrt -1)) 1)) (exp (/ (* (cbrt -1) (cbrt -1)) (- f n))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (+ (pow f 3) (pow n 3))))) (exp (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n))))) (exp (/ (sqrt -1) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))))) (exp (/ (sqrt -1) (sqrt (/ (- f n) (+ f n))))) (exp (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (exp (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))))) (exp (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1))) (exp (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1))) (exp (/ (sqrt -1) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (exp (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n))))) (exp (/ (sqrt -1) (/ (sqrt (- f n)) 1))) (exp (/ (sqrt -1) (/ (sqrt (- f n)) 1))) (exp (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))) (exp (/ (sqrt -1) (/ 1 (sqrt (+ f n))))) (exp (/ (sqrt -1) (/ 1 1))) (exp (/ (sqrt -1) (/ 1 1))) (exp (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (exp (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))))) (exp (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1))) (exp (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1))) (exp (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))) (exp (/ (sqrt -1) (/ 1 (sqrt (+ f n))))) (exp (/ (sqrt -1) (/ 1 1))) (exp (/ (sqrt -1) (/ 1 1))) (exp (/ (sqrt -1) 1)) (exp (/ (sqrt -1) (- f n))) (exp (/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3))))) (exp (/ (sqrt -1) (/ (- f n) (- (* f f) (* n n))))) (exp (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))))) (exp (/ 1 (sqrt (/ (- f n) (+ f n))))) (exp (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (exp (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))))) (exp (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1))) (exp (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1))) (exp (/ 1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (exp (/ 1 (/ (sqrt (- f n)) (sqrt (+ f n))))) (exp (/ 1 (/ (sqrt (- f n)) 1))) (exp (/ 1 (/ (sqrt (- f n)) 1))) (exp (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))) (exp (/ 1 (/ 1 (sqrt (+ f n))))) (exp (/ 1 (/ 1 1))) (exp (/ 1 (/ 1 1))) (exp (/ 1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (exp (/ 1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))))) (exp (/ 1 (/ (+ (sqrt f) (sqrt n)) 1))) (exp (/ 1 (/ (+ (sqrt f) (sqrt n)) 1))) (exp (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))) (exp (/ 1 (/ 1 (sqrt (+ f n))))) (exp (/ 1 (/ 1 1))) (exp (/ 1 (/ 1 1))) (exp (/ 1 1)) (exp (/ 1 (- f n))) (exp (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3))))) (exp (/ 1 (/ (- f n) (- (* f f) (* n n))))) (exp 1) (exp -1) (exp (/ -1 (- f n))) (log (exp (/ -1 (/ (- f 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(- f n) (+ f n)))))) (exp (log (exp (/ -1 (/ (- f n) (+ f n)))))) (* (cbrt (log (exp (/ -1 (/ (- f n) (+ f n)))))) (cbrt (log (exp (/ -1 (/ (- f n) (+ f n))))))) (cbrt (log (exp (/ -1 (/ (- f n) (+ f n)))))) (* (* (log (exp (/ -1 (/ (- f n) (+ f n))))) (log (exp (/ -1 (/ (- f n) (+ f n)))))) (log (exp (/ -1 (/ (- f n) (+ f n)))))) (sqrt (log (exp (/ -1 (/ (- f n) (+ f n)))))) (sqrt (log (exp (/ -1 (/ (- f n) (+ f n)))))) -1 1 1 E (exp -1) (exp -1) 1 -1 -1 1 -1 -1 6.159 * * * [progress]: adding candidates to table 7.245 * * [progress]: iteration 4 / 4 7.245 * * * [progress]: picking best candidate 7.254 * * * * [pick]: Picked # 7.254 * * * [progress]: localizing error 7.267 * * * [progress]: generating rewritten candidates 7.267 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 7.362 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 7.384 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.556 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 7.900 * * * [progress]: generating series expansions 7.900 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 7.901 * [backup-simplify]: Simplify (- (/ f (+ f n)) (/ n (+ f n))) into (- (/ f (+ n f)) (/ n (+ n f))) 7.901 * [approximate]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 7.901 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 7.901 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 7.901 * [taylor]: Taking taylor expansion of f in n 7.901 * [backup-simplify]: Simplify f into f 7.901 * [taylor]: Taking taylor expansion of (+ n f) in n 7.901 * [taylor]: Taking taylor expansion of n in n 7.901 * [backup-simplify]: Simplify 0 into 0 7.901 * [backup-simplify]: Simplify 1 into 1 7.901 * [taylor]: Taking taylor expansion of f in n 7.901 * [backup-simplify]: Simplify f into f 7.901 * [backup-simplify]: Simplify (+ 0 f) into f 7.901 * [backup-simplify]: Simplify (/ f f) into 1 7.901 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 7.901 * [taylor]: Taking taylor expansion of n in n 7.901 * [backup-simplify]: Simplify 0 into 0 7.901 * [backup-simplify]: Simplify 1 into 1 7.901 * [taylor]: Taking taylor expansion of (+ n f) in n 7.901 * [taylor]: Taking taylor expansion of n in n 7.901 * [backup-simplify]: Simplify 0 into 0 7.901 * [backup-simplify]: Simplify 1 into 1 7.901 * [taylor]: Taking taylor expansion of f in n 7.901 * [backup-simplify]: Simplify f into f 7.901 * [backup-simplify]: Simplify (+ 0 f) into f 7.901 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.901 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 7.901 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 7.901 * [taylor]: Taking taylor expansion of f in f 7.901 * [backup-simplify]: Simplify 0 into 0 7.901 * [backup-simplify]: Simplify 1 into 1 7.901 * [taylor]: Taking taylor expansion of (+ n f) in f 7.901 * [taylor]: Taking taylor expansion of n in f 7.901 * [backup-simplify]: Simplify n into n 7.901 * [taylor]: Taking taylor expansion of f in f 7.901 * [backup-simplify]: Simplify 0 into 0 7.901 * [backup-simplify]: Simplify 1 into 1 7.901 * [backup-simplify]: Simplify (+ n 0) into n 7.901 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.901 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 7.901 * [taylor]: Taking taylor expansion of n in f 7.901 * [backup-simplify]: Simplify n into n 7.901 * [taylor]: Taking taylor expansion of (+ n f) in f 7.901 * [taylor]: Taking taylor expansion of n in f 7.901 * [backup-simplify]: Simplify n into n 7.902 * [taylor]: Taking taylor expansion of f in f 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify 1 into 1 7.902 * [backup-simplify]: Simplify (+ n 0) into n 7.902 * [backup-simplify]: Simplify (/ n n) into 1 7.902 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 7.902 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 7.902 * [taylor]: Taking taylor expansion of f in f 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify 1 into 1 7.902 * [taylor]: Taking taylor expansion of (+ n f) in f 7.902 * [taylor]: Taking taylor expansion of n in f 7.902 * [backup-simplify]: Simplify n into n 7.902 * [taylor]: Taking taylor expansion of f in f 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify 1 into 1 7.902 * [backup-simplify]: Simplify (+ n 0) into n 7.902 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.902 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 7.902 * [taylor]: Taking taylor expansion of n in f 7.902 * [backup-simplify]: Simplify n into n 7.902 * [taylor]: Taking taylor expansion of (+ n f) in f 7.902 * [taylor]: Taking taylor expansion of n in f 7.902 * [backup-simplify]: Simplify n into n 7.902 * [taylor]: Taking taylor expansion of f in f 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify 1 into 1 7.902 * [backup-simplify]: Simplify (+ n 0) into n 7.902 * [backup-simplify]: Simplify (/ n n) into 1 7.903 * [backup-simplify]: Simplify (- 1) into -1 7.904 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.904 * [taylor]: Taking taylor expansion of -1 in n 7.904 * [backup-simplify]: Simplify -1 into -1 7.904 * [backup-simplify]: Simplify -1 into -1 7.904 * [backup-simplify]: Simplify (+ 0 1) into 1 7.904 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 7.904 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 7.904 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 7.904 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.904 * [taylor]: Taking taylor expansion of 2 in n 7.904 * [backup-simplify]: Simplify 2 into 2 7.904 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.904 * [taylor]: Taking taylor expansion of n in n 7.904 * [backup-simplify]: Simplify 0 into 0 7.904 * [backup-simplify]: Simplify 1 into 1 7.904 * [backup-simplify]: Simplify (/ 1 1) into 1 7.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.905 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.905 * [backup-simplify]: Simplify 0 into 0 7.905 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify (+ 0 1) into 1 7.906 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.906 * [backup-simplify]: Simplify (+ 0 0) into 0 7.906 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 7.906 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 7.907 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 7.907 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.907 * [taylor]: Taking taylor expansion of 2 in n 7.907 * [backup-simplify]: Simplify 2 into 2 7.907 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.907 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.907 * [taylor]: Taking taylor expansion of n in n 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify 1 into 1 7.907 * [backup-simplify]: Simplify (* 1 1) into 1 7.907 * [backup-simplify]: Simplify (/ 1 1) into 1 7.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.910 * [backup-simplify]: Simplify (- 0) into 0 7.910 * [backup-simplify]: Simplify 0 into 0 7.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.911 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.911 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify (+ 0 0) into 0 7.911 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.912 * [backup-simplify]: Simplify (+ 0 0) into 0 7.912 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 7.912 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 7.912 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 7.912 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.912 * [taylor]: Taking taylor expansion of 2 in n 7.912 * [backup-simplify]: Simplify 2 into 2 7.912 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.912 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.912 * [taylor]: Taking taylor expansion of n in n 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 1 into 1 7.913 * [backup-simplify]: Simplify (* 1 1) into 1 7.913 * [backup-simplify]: Simplify (* 1 1) into 1 7.913 * [backup-simplify]: Simplify (/ 1 1) into 1 7.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.918 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.918 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify -1 into -1 7.918 * [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))) 7.918 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 7.918 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 7.919 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 7.919 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 7.919 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.919 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.919 * [taylor]: Taking taylor expansion of f in n 7.919 * [backup-simplify]: Simplify f into f 7.919 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.919 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.919 * [taylor]: Taking taylor expansion of n in n 7.919 * [backup-simplify]: Simplify 0 into 0 7.919 * [backup-simplify]: Simplify 1 into 1 7.919 * [backup-simplify]: Simplify (/ 1 1) into 1 7.919 * [taylor]: Taking taylor expansion of f in n 7.919 * [backup-simplify]: Simplify f into f 7.919 * [backup-simplify]: Simplify (+ 0 1) into 1 7.919 * [backup-simplify]: Simplify (* 1 f) into f 7.919 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.919 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 7.919 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 7.919 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.919 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.919 * [taylor]: Taking taylor expansion of f in n 7.919 * [backup-simplify]: Simplify f into f 7.920 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.920 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.920 * [taylor]: Taking taylor expansion of n in n 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify 1 into 1 7.920 * [backup-simplify]: Simplify (/ 1 1) into 1 7.920 * [taylor]: Taking taylor expansion of n in n 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify 1 into 1 7.920 * [backup-simplify]: Simplify (+ 0 1) into 1 7.920 * [backup-simplify]: Simplify (* 1 0) into 0 7.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.921 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.921 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 7.921 * [backup-simplify]: Simplify (/ 1 1) into 1 7.921 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.921 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.921 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.921 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.921 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.921 * [taylor]: Taking taylor expansion of f in f 7.922 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify 1 into 1 7.922 * [backup-simplify]: Simplify (/ 1 1) into 1 7.922 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.922 * [taylor]: Taking taylor expansion of n in f 7.922 * [backup-simplify]: Simplify n into n 7.922 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.922 * [taylor]: Taking taylor expansion of f in f 7.922 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify 1 into 1 7.922 * [backup-simplify]: Simplify (+ 1 0) into 1 7.922 * [backup-simplify]: Simplify (* 1 0) into 0 7.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.923 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.923 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.923 * [backup-simplify]: Simplify (/ 1 1) into 1 7.923 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.923 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.923 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.923 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.923 * [taylor]: Taking taylor expansion of f in f 7.923 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify 1 into 1 7.924 * [backup-simplify]: Simplify (/ 1 1) into 1 7.924 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.924 * [taylor]: Taking taylor expansion of n in f 7.924 * [backup-simplify]: Simplify n into n 7.924 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.924 * [taylor]: Taking taylor expansion of n in f 7.924 * [backup-simplify]: Simplify n into n 7.924 * [backup-simplify]: Simplify (+ 1 0) into 1 7.924 * [backup-simplify]: Simplify (* 1 n) into n 7.924 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.924 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.924 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.924 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.924 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.924 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.924 * [taylor]: Taking taylor expansion of f in f 7.924 * [backup-simplify]: Simplify 0 into 0 7.924 * [backup-simplify]: Simplify 1 into 1 7.925 * [backup-simplify]: Simplify (/ 1 1) into 1 7.925 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.925 * [taylor]: Taking taylor expansion of n in f 7.925 * [backup-simplify]: Simplify n into n 7.925 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.925 * [taylor]: Taking taylor expansion of f in f 7.925 * [backup-simplify]: Simplify 0 into 0 7.925 * [backup-simplify]: Simplify 1 into 1 7.925 * [backup-simplify]: Simplify (+ 1 0) into 1 7.925 * [backup-simplify]: Simplify (* 1 0) into 0 7.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.926 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.927 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.927 * [backup-simplify]: Simplify (/ 1 1) into 1 7.927 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.927 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.927 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.927 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.927 * [taylor]: Taking taylor expansion of f in f 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify 1 into 1 7.928 * [backup-simplify]: Simplify (/ 1 1) into 1 7.928 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.928 * [taylor]: Taking taylor expansion of n in f 7.928 * [backup-simplify]: Simplify n into n 7.928 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.928 * [taylor]: Taking taylor expansion of n in f 7.928 * [backup-simplify]: Simplify n into n 7.928 * [backup-simplify]: Simplify (+ 1 0) into 1 7.928 * [backup-simplify]: Simplify (* 1 n) into n 7.928 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.929 * [backup-simplify]: Simplify (+ 1 0) into 1 7.929 * [taylor]: Taking taylor expansion of 1 in n 7.929 * [backup-simplify]: Simplify 1 into 1 7.929 * [backup-simplify]: Simplify 1 into 1 7.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.931 * [backup-simplify]: Simplify (+ 0 0) into 0 7.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 7.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.932 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.932 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 7.932 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.932 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.932 * [taylor]: Taking taylor expansion of 2 in n 7.932 * [backup-simplify]: Simplify 2 into 2 7.932 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.932 * [taylor]: Taking taylor expansion of n in n 7.932 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify 1 into 1 7.932 * [backup-simplify]: Simplify (/ 1 1) into 1 7.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.933 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.934 * [backup-simplify]: Simplify (- 0) into 0 7.934 * [backup-simplify]: Simplify 0 into 0 7.934 * [backup-simplify]: Simplify 0 into 0 7.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.935 * [backup-simplify]: Simplify (+ 0 0) into 0 7.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 7.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.936 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.937 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 7.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.937 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 7.937 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 7.937 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.937 * [taylor]: Taking taylor expansion of 2 in n 7.937 * [backup-simplify]: Simplify 2 into 2 7.937 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.937 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.937 * [taylor]: Taking taylor expansion of n in n 7.937 * [backup-simplify]: Simplify 0 into 0 7.937 * [backup-simplify]: Simplify 1 into 1 7.937 * [backup-simplify]: Simplify (* 1 1) into 1 7.938 * [backup-simplify]: Simplify (/ 1 1) into 1 7.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.940 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.940 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.941 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.941 * [backup-simplify]: Simplify (- 0) into 0 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.942 * [backup-simplify]: Simplify (+ 0 0) into 0 7.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 7.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.945 * [backup-simplify]: Simplify (+ 0 0) into 0 7.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 7.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.945 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 7.946 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 7.946 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.946 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.946 * [taylor]: Taking taylor expansion of 2 in n 7.946 * [backup-simplify]: Simplify 2 into 2 7.946 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.946 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.946 * [taylor]: Taking taylor expansion of n in n 7.946 * [backup-simplify]: Simplify 0 into 0 7.946 * [backup-simplify]: Simplify 1 into 1 7.946 * [backup-simplify]: Simplify (* 1 1) into 1 7.946 * [backup-simplify]: Simplify (* 1 1) into 1 7.946 * [backup-simplify]: Simplify (/ 1 1) into 1 7.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.957 * [backup-simplify]: Simplify (- 0) into 0 7.957 * [backup-simplify]: Simplify 0 into 0 7.957 * [backup-simplify]: Simplify 1 into 1 7.958 * [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))) 7.958 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 7.958 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 7.958 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 7.958 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 7.958 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.958 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.958 * [taylor]: Taking taylor expansion of f in n 7.958 * [backup-simplify]: Simplify f into f 7.958 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.958 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.958 * [taylor]: Taking taylor expansion of n in n 7.958 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify 1 into 1 7.958 * [backup-simplify]: Simplify (/ 1 1) into 1 7.959 * [taylor]: Taking taylor expansion of f in n 7.959 * [backup-simplify]: Simplify f into f 7.959 * [backup-simplify]: Simplify (+ 0 1) into 1 7.959 * [backup-simplify]: Simplify (* 1 f) into f 7.959 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.959 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 7.959 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 7.959 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.959 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.959 * [taylor]: Taking taylor expansion of f in n 7.959 * [backup-simplify]: Simplify f into f 7.959 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.959 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.959 * [taylor]: Taking taylor expansion of n in n 7.959 * [backup-simplify]: Simplify 0 into 0 7.959 * [backup-simplify]: Simplify 1 into 1 7.959 * [backup-simplify]: Simplify (/ 1 1) into 1 7.959 * [taylor]: Taking taylor expansion of n in n 7.959 * [backup-simplify]: Simplify 0 into 0 7.959 * [backup-simplify]: Simplify 1 into 1 7.960 * [backup-simplify]: Simplify (+ 0 1) into 1 7.960 * [backup-simplify]: Simplify (* 1 0) into 0 7.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.960 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.961 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 7.961 * [backup-simplify]: Simplify (/ 1 1) into 1 7.961 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.961 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.961 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.961 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.961 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.961 * [taylor]: Taking taylor expansion of f in f 7.961 * [backup-simplify]: Simplify 0 into 0 7.961 * [backup-simplify]: Simplify 1 into 1 7.962 * [backup-simplify]: Simplify (/ 1 1) into 1 7.962 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.962 * [taylor]: Taking taylor expansion of n in f 7.962 * [backup-simplify]: Simplify n into n 7.962 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.962 * [taylor]: Taking taylor expansion of f in f 7.962 * [backup-simplify]: Simplify 0 into 0 7.962 * [backup-simplify]: Simplify 1 into 1 7.962 * [backup-simplify]: Simplify (+ 1 0) into 1 7.963 * [backup-simplify]: Simplify (* 1 0) into 0 7.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.964 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.964 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.964 * [backup-simplify]: Simplify (/ 1 1) into 1 7.964 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.964 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.964 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.964 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.965 * [taylor]: Taking taylor expansion of f in f 7.965 * [backup-simplify]: Simplify 0 into 0 7.965 * [backup-simplify]: Simplify 1 into 1 7.965 * [backup-simplify]: Simplify (/ 1 1) into 1 7.965 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.965 * [taylor]: Taking taylor expansion of n in f 7.965 * [backup-simplify]: Simplify n into n 7.965 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.965 * [taylor]: Taking taylor expansion of n in f 7.965 * [backup-simplify]: Simplify n into n 7.966 * [backup-simplify]: Simplify (+ 1 0) into 1 7.966 * [backup-simplify]: Simplify (* 1 n) into n 7.966 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.966 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.966 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.966 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.966 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.966 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.966 * [taylor]: Taking taylor expansion of f in f 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 1 into 1 7.967 * [backup-simplify]: Simplify (/ 1 1) into 1 7.967 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.967 * [taylor]: Taking taylor expansion of n in f 7.967 * [backup-simplify]: Simplify n into n 7.967 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.967 * [taylor]: Taking taylor expansion of f in f 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 1 into 1 7.967 * [backup-simplify]: Simplify (+ 1 0) into 1 7.968 * [backup-simplify]: Simplify (* 1 0) into 0 7.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.968 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.969 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.969 * [backup-simplify]: Simplify (/ 1 1) into 1 7.969 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.969 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.969 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.969 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.969 * [taylor]: Taking taylor expansion of f in f 7.969 * [backup-simplify]: Simplify 0 into 0 7.969 * [backup-simplify]: Simplify 1 into 1 7.970 * [backup-simplify]: Simplify (/ 1 1) into 1 7.970 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.970 * [taylor]: Taking taylor expansion of n in f 7.970 * [backup-simplify]: Simplify n into n 7.970 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.970 * [taylor]: Taking taylor expansion of n in f 7.970 * [backup-simplify]: Simplify n into n 7.970 * [backup-simplify]: Simplify (+ 1 0) into 1 7.970 * [backup-simplify]: Simplify (* 1 n) into n 7.970 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.971 * [backup-simplify]: Simplify (+ 1 0) into 1 7.971 * [taylor]: Taking taylor expansion of 1 in n 7.971 * [backup-simplify]: Simplify 1 into 1 7.971 * [backup-simplify]: Simplify 1 into 1 7.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.972 * [backup-simplify]: Simplify (+ 0 0) into 0 7.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 7.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.974 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.974 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 7.974 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.974 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.974 * [taylor]: Taking taylor expansion of 2 in n 7.974 * [backup-simplify]: Simplify 2 into 2 7.974 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.974 * [taylor]: Taking taylor expansion of n in n 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify 1 into 1 7.974 * [backup-simplify]: Simplify (/ 1 1) into 1 7.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.976 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.976 * [backup-simplify]: Simplify (- 0) into 0 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.978 * [backup-simplify]: Simplify (+ 0 0) into 0 7.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 7.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.980 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.981 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 7.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.981 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 7.982 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 7.982 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.982 * [taylor]: Taking taylor expansion of 2 in n 7.982 * [backup-simplify]: Simplify 2 into 2 7.982 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.982 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.982 * [taylor]: Taking taylor expansion of n in n 7.982 * [backup-simplify]: Simplify 0 into 0 7.982 * [backup-simplify]: Simplify 1 into 1 7.983 * [backup-simplify]: Simplify (* 1 1) into 1 7.983 * [backup-simplify]: Simplify (/ 1 1) into 1 7.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.986 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.986 * [backup-simplify]: Simplify 0 into 0 7.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.987 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.987 * [backup-simplify]: Simplify (- 0) into 0 7.987 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.988 * [backup-simplify]: Simplify (+ 0 0) into 0 7.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 7.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.992 * [backup-simplify]: Simplify (+ 0 0) into 0 7.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 7.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.993 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 7.993 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 7.993 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.993 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.993 * [taylor]: Taking taylor expansion of 2 in n 7.993 * [backup-simplify]: Simplify 2 into 2 7.993 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.993 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.993 * [taylor]: Taking taylor expansion of n in n 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify 1 into 1 7.993 * [backup-simplify]: Simplify (* 1 1) into 1 7.994 * [backup-simplify]: Simplify (* 1 1) into 1 7.994 * [backup-simplify]: Simplify (/ 1 1) into 1 7.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.999 * [backup-simplify]: Simplify (- 0) into 0 7.999 * [backup-simplify]: Simplify 0 into 0 7.999 * [backup-simplify]: Simplify 1 into 1 7.999 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 7.999 * [backup-simplify]: Simplify (/ n (+ f n)) into (/ n (+ n f)) 7.999 * [approximate]: Taking taylor expansion of (/ n (+ n f)) in (n f) around 0 7.999 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 7.999 * [taylor]: Taking taylor expansion of n in f 7.999 * [backup-simplify]: Simplify n into n 7.999 * [taylor]: Taking taylor expansion of (+ n f) in f 7.999 * [taylor]: Taking taylor expansion of n in f 7.999 * [backup-simplify]: Simplify n into n 7.999 * [taylor]: Taking taylor expansion of f in f 7.999 * [backup-simplify]: Simplify 0 into 0 7.999 * [backup-simplify]: Simplify 1 into 1 7.999 * [backup-simplify]: Simplify (+ n 0) into n 7.999 * [backup-simplify]: Simplify (/ n n) into 1 7.999 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 7.999 * [taylor]: Taking taylor expansion of n in n 7.999 * [backup-simplify]: Simplify 0 into 0 7.999 * [backup-simplify]: Simplify 1 into 1 7.999 * [taylor]: Taking taylor expansion of (+ n f) in n 8.000 * [taylor]: Taking taylor expansion of n in n 8.000 * [backup-simplify]: Simplify 0 into 0 8.000 * [backup-simplify]: Simplify 1 into 1 8.000 * [taylor]: Taking taylor expansion of f in n 8.000 * [backup-simplify]: Simplify f into f 8.000 * [backup-simplify]: Simplify (+ 0 f) into f 8.000 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.000 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 8.000 * [taylor]: Taking taylor expansion of n in n 8.000 * [backup-simplify]: Simplify 0 into 0 8.000 * [backup-simplify]: Simplify 1 into 1 8.000 * [taylor]: Taking taylor expansion of (+ n f) in n 8.000 * [taylor]: Taking taylor expansion of n in n 8.000 * [backup-simplify]: Simplify 0 into 0 8.000 * [backup-simplify]: Simplify 1 into 1 8.000 * [taylor]: Taking taylor expansion of f in n 8.000 * [backup-simplify]: Simplify f into f 8.000 * [backup-simplify]: Simplify (+ 0 f) into f 8.000 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.000 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.000 * [taylor]: Taking taylor expansion of f in f 8.000 * [backup-simplify]: Simplify 0 into 0 8.000 * [backup-simplify]: Simplify 1 into 1 8.000 * [backup-simplify]: Simplify (/ 1 1) into 1 8.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.001 * [backup-simplify]: Simplify 0 into 0 8.001 * [backup-simplify]: Simplify (+ 1 0) into 1 8.001 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 1 f)))) into (- (/ 1 (pow f 2))) 8.001 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 8.001 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 8.001 * [taylor]: Taking taylor expansion of (pow f 2) in f 8.001 * [taylor]: Taking taylor expansion of f in f 8.001 * [backup-simplify]: Simplify 0 into 0 8.001 * [backup-simplify]: Simplify 1 into 1 8.001 * [backup-simplify]: Simplify (* 1 1) into 1 8.002 * [backup-simplify]: Simplify (/ 1 1) into 1 8.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.004 * [backup-simplify]: Simplify (- 0) into 0 8.004 * [backup-simplify]: Simplify 0 into 0 8.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.004 * [backup-simplify]: Simplify 0 into 0 8.004 * [backup-simplify]: Simplify (+ 0 0) into 0 8.005 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (- (/ 1 (pow f 2))) (/ 1 f)))) into (/ 1 (pow f 3)) 8.005 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 8.005 * [taylor]: Taking taylor expansion of (pow f 3) in f 8.005 * [taylor]: Taking taylor expansion of f in f 8.005 * [backup-simplify]: Simplify 0 into 0 8.005 * [backup-simplify]: Simplify 1 into 1 8.005 * [backup-simplify]: Simplify (* 1 1) into 1 8.005 * [backup-simplify]: Simplify (* 1 1) into 1 8.005 * [backup-simplify]: Simplify (/ 1 1) into 1 8.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.010 * [backup-simplify]: Simplify 0 into 0 8.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.011 * [backup-simplify]: Simplify (- 0) into 0 8.011 * [backup-simplify]: Simplify 0 into 0 8.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.012 * [backup-simplify]: Simplify 0 into 0 8.012 * [backup-simplify]: Simplify 0 into 0 8.012 * [backup-simplify]: Simplify (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 8.012 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 8.012 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.012 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.012 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.012 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.012 * [taylor]: Taking taylor expansion of f in f 8.012 * [backup-simplify]: Simplify 0 into 0 8.012 * [backup-simplify]: Simplify 1 into 1 8.012 * [backup-simplify]: Simplify (/ 1 1) into 1 8.012 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.012 * [taylor]: Taking taylor expansion of n in f 8.012 * [backup-simplify]: Simplify n into n 8.012 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.012 * [taylor]: Taking taylor expansion of n in f 8.012 * [backup-simplify]: Simplify n into n 8.012 * [backup-simplify]: Simplify (+ 1 0) into 1 8.013 * [backup-simplify]: Simplify (* 1 n) into n 8.013 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.013 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 8.013 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 8.013 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.013 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.013 * [taylor]: Taking taylor expansion of f in n 8.013 * [backup-simplify]: Simplify f into f 8.013 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.013 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.013 * [taylor]: Taking taylor expansion of n in n 8.013 * [backup-simplify]: Simplify 0 into 0 8.013 * [backup-simplify]: Simplify 1 into 1 8.013 * [backup-simplify]: Simplify (/ 1 1) into 1 8.013 * [taylor]: Taking taylor expansion of n in n 8.013 * [backup-simplify]: Simplify 0 into 0 8.013 * [backup-simplify]: Simplify 1 into 1 8.014 * [backup-simplify]: Simplify (+ 0 1) into 1 8.014 * [backup-simplify]: Simplify (* 1 0) into 0 8.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.015 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.015 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 8.016 * [backup-simplify]: Simplify (/ 1 1) into 1 8.016 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 8.016 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 8.016 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.016 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.016 * [taylor]: Taking taylor expansion of f in n 8.016 * [backup-simplify]: Simplify f into f 8.016 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.016 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.016 * [taylor]: Taking taylor expansion of n in n 8.016 * [backup-simplify]: Simplify 0 into 0 8.016 * [backup-simplify]: Simplify 1 into 1 8.017 * [backup-simplify]: Simplify (/ 1 1) into 1 8.017 * [taylor]: Taking taylor expansion of n in n 8.017 * [backup-simplify]: Simplify 0 into 0 8.017 * [backup-simplify]: Simplify 1 into 1 8.017 * [backup-simplify]: Simplify (+ 0 1) into 1 8.017 * [backup-simplify]: Simplify (* 1 0) into 0 8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.018 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.019 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 8.019 * [backup-simplify]: Simplify (/ 1 1) into 1 8.019 * [taylor]: Taking taylor expansion of 1 in f 8.019 * [backup-simplify]: Simplify 1 into 1 8.019 * [backup-simplify]: Simplify 0 into 0 8.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 8.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.021 * [backup-simplify]: Simplify (+ 0 0) into 0 8.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 8.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 8.022 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 8.022 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.022 * [taylor]: Taking taylor expansion of f in f 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 1 into 1 8.022 * [backup-simplify]: Simplify (/ 1 1) into 1 8.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.024 * [backup-simplify]: Simplify (- 0) into 0 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 8.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.026 * [backup-simplify]: Simplify (+ 0 0) into 0 8.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 8.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 8.028 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 8.028 * [taylor]: Taking taylor expansion of (pow f 2) in f 8.028 * [taylor]: Taking taylor expansion of f in f 8.028 * [backup-simplify]: Simplify 0 into 0 8.028 * [backup-simplify]: Simplify 1 into 1 8.028 * [backup-simplify]: Simplify (* 1 1) into 1 8.028 * [backup-simplify]: Simplify (/ 1 1) into 1 8.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.033 * [backup-simplify]: Simplify 0 into 0 8.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.035 * [backup-simplify]: Simplify (- 0) into 0 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 8.035 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 8.035 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.035 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.035 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.035 * [taylor]: Taking taylor expansion of f in f 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 1 into 1 8.036 * [backup-simplify]: Simplify (/ 1 1) into 1 8.036 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.036 * [taylor]: Taking taylor expansion of n in f 8.036 * [backup-simplify]: Simplify n into n 8.036 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.036 * [taylor]: Taking taylor expansion of n in f 8.036 * [backup-simplify]: Simplify n into n 8.036 * [backup-simplify]: Simplify (+ 1 0) into 1 8.036 * [backup-simplify]: Simplify (* 1 n) into n 8.037 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.037 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 8.037 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 8.037 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.037 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.037 * [taylor]: Taking taylor expansion of f in n 8.037 * [backup-simplify]: Simplify f into f 8.037 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.037 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.037 * [taylor]: Taking taylor expansion of n in n 8.037 * [backup-simplify]: Simplify 0 into 0 8.037 * [backup-simplify]: Simplify 1 into 1 8.037 * [backup-simplify]: Simplify (/ 1 1) into 1 8.037 * [taylor]: Taking taylor expansion of n in n 8.037 * [backup-simplify]: Simplify 0 into 0 8.037 * [backup-simplify]: Simplify 1 into 1 8.038 * [backup-simplify]: Simplify (+ 0 1) into 1 8.038 * [backup-simplify]: Simplify (* 1 0) into 0 8.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.039 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.040 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 8.040 * [backup-simplify]: Simplify (/ 1 1) into 1 8.040 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 8.040 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 8.040 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.040 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.040 * [taylor]: Taking taylor expansion of f in n 8.040 * [backup-simplify]: Simplify f into f 8.040 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.040 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.040 * [taylor]: Taking taylor expansion of n in n 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [backup-simplify]: Simplify 1 into 1 8.041 * [backup-simplify]: Simplify (/ 1 1) into 1 8.041 * [taylor]: Taking taylor expansion of n in n 8.041 * [backup-simplify]: Simplify 0 into 0 8.041 * [backup-simplify]: Simplify 1 into 1 8.041 * [backup-simplify]: Simplify (+ 0 1) into 1 8.042 * [backup-simplify]: Simplify (* 1 0) into 0 8.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.043 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.043 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 8.043 * [backup-simplify]: Simplify (/ 1 1) into 1 8.044 * [taylor]: Taking taylor expansion of 1 in f 8.044 * [backup-simplify]: Simplify 1 into 1 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 8.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.045 * [backup-simplify]: Simplify (+ 0 0) into 0 8.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 8.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 8.046 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 8.046 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.046 * [taylor]: Taking taylor expansion of f in f 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 1 into 1 8.047 * [backup-simplify]: Simplify (/ 1 1) into 1 8.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.049 * [backup-simplify]: Simplify (- 0) into 0 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 8.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.050 * [backup-simplify]: Simplify (+ 0 0) into 0 8.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 8.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 8.052 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 8.052 * [taylor]: Taking taylor expansion of (pow f 2) in f 8.052 * [taylor]: Taking taylor expansion of f in f 8.052 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify 1 into 1 8.053 * [backup-simplify]: Simplify (* 1 1) into 1 8.053 * [backup-simplify]: Simplify (/ 1 1) into 1 8.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.058 * [backup-simplify]: Simplify 0 into 0 8.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.060 * [backup-simplify]: Simplify (- 0) into 0 8.060 * [backup-simplify]: Simplify 0 into 0 8.060 * [backup-simplify]: Simplify 0 into 0 8.060 * [backup-simplify]: Simplify 0 into 0 8.060 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 8.060 * [backup-simplify]: Simplify (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) into (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 8.060 * [approximate]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in (f n) around 0 8.060 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 8.060 * [taylor]: Taking taylor expansion of -1 in n 8.060 * [backup-simplify]: Simplify -1 into -1 8.061 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 8.061 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 8.061 * [taylor]: Taking taylor expansion of f in n 8.061 * [backup-simplify]: Simplify f into f 8.061 * [taylor]: Taking taylor expansion of (+ n f) in n 8.061 * [taylor]: Taking taylor expansion of n in n 8.061 * [backup-simplify]: Simplify 0 into 0 8.061 * [backup-simplify]: Simplify 1 into 1 8.061 * [taylor]: Taking taylor expansion of f in n 8.061 * [backup-simplify]: Simplify f into f 8.061 * [backup-simplify]: Simplify (+ 0 f) into f 8.061 * [backup-simplify]: Simplify (/ f f) into 1 8.061 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 8.061 * [taylor]: Taking taylor expansion of n in n 8.061 * [backup-simplify]: Simplify 0 into 0 8.061 * [backup-simplify]: Simplify 1 into 1 8.061 * [taylor]: Taking taylor expansion of (+ n f) in n 8.061 * [taylor]: Taking taylor expansion of n in n 8.061 * [backup-simplify]: Simplify 0 into 0 8.061 * [backup-simplify]: Simplify 1 into 1 8.061 * [taylor]: Taking taylor expansion of f in n 8.061 * [backup-simplify]: Simplify f into f 8.061 * [backup-simplify]: Simplify (+ 0 f) into f 8.061 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.062 * [backup-simplify]: Simplify (+ 1 0) into 1 8.062 * [backup-simplify]: Simplify (/ -1 1) into -1 8.062 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 8.062 * [taylor]: Taking taylor expansion of -1 in f 8.062 * [backup-simplify]: Simplify -1 into -1 8.062 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 8.063 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 8.063 * [taylor]: Taking taylor expansion of f in f 8.063 * [backup-simplify]: Simplify 0 into 0 8.063 * [backup-simplify]: Simplify 1 into 1 8.063 * [taylor]: Taking taylor expansion of (+ n f) in f 8.063 * [taylor]: Taking taylor expansion of n in f 8.063 * [backup-simplify]: Simplify n into n 8.063 * [taylor]: Taking taylor expansion of f in f 8.063 * [backup-simplify]: Simplify 0 into 0 8.063 * [backup-simplify]: Simplify 1 into 1 8.063 * [backup-simplify]: Simplify (+ n 0) into n 8.063 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.063 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 8.063 * [taylor]: Taking taylor expansion of n in f 8.063 * [backup-simplify]: Simplify n into n 8.063 * [taylor]: Taking taylor expansion of (+ n f) in f 8.063 * [taylor]: Taking taylor expansion of n in f 8.063 * [backup-simplify]: Simplify n into n 8.063 * [taylor]: Taking taylor expansion of f in f 8.063 * [backup-simplify]: Simplify 0 into 0 8.063 * [backup-simplify]: Simplify 1 into 1 8.063 * [backup-simplify]: Simplify (+ n 0) into n 8.063 * [backup-simplify]: Simplify (/ n n) into 1 8.064 * [backup-simplify]: Simplify (- 1) into -1 8.064 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.065 * [backup-simplify]: Simplify (/ -1 -1) into 1 8.065 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 8.065 * [taylor]: Taking taylor expansion of -1 in f 8.065 * [backup-simplify]: Simplify -1 into -1 8.065 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 8.065 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 8.065 * [taylor]: Taking taylor expansion of f in f 8.065 * [backup-simplify]: Simplify 0 into 0 8.065 * [backup-simplify]: Simplify 1 into 1 8.065 * [taylor]: Taking taylor expansion of (+ n f) in f 8.065 * [taylor]: Taking taylor expansion of n in f 8.065 * [backup-simplify]: Simplify n into n 8.065 * [taylor]: Taking taylor expansion of f in f 8.065 * [backup-simplify]: Simplify 0 into 0 8.065 * [backup-simplify]: Simplify 1 into 1 8.065 * [backup-simplify]: Simplify (+ n 0) into n 8.065 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.065 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 8.065 * [taylor]: Taking taylor expansion of n in f 8.065 * [backup-simplify]: Simplify n into n 8.065 * [taylor]: Taking taylor expansion of (+ n f) in f 8.065 * [taylor]: Taking taylor expansion of n in f 8.065 * [backup-simplify]: Simplify n into n 8.065 * [taylor]: Taking taylor expansion of f in f 8.065 * [backup-simplify]: Simplify 0 into 0 8.065 * [backup-simplify]: Simplify 1 into 1 8.065 * [backup-simplify]: Simplify (+ n 0) into n 8.065 * [backup-simplify]: Simplify (/ n n) into 1 8.066 * [backup-simplify]: Simplify (- 1) into -1 8.066 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.066 * [backup-simplify]: Simplify (/ -1 -1) into 1 8.066 * [taylor]: Taking taylor expansion of 1 in n 8.066 * [backup-simplify]: Simplify 1 into 1 8.067 * [backup-simplify]: Simplify 1 into 1 8.067 * [backup-simplify]: Simplify (+ 0 1) into 1 8.067 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 8.067 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 8.067 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 8.068 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) 8.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.068 * [taylor]: Taking taylor expansion of 2 in n 8.068 * [backup-simplify]: Simplify 2 into 2 8.068 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.068 * [taylor]: Taking taylor expansion of n in n 8.068 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify 1 into 1 8.068 * [backup-simplify]: Simplify (/ 1 1) into 1 8.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.070 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.070 * [backup-simplify]: Simplify 0 into 0 8.070 * [backup-simplify]: Simplify 0 into 0 8.070 * [backup-simplify]: Simplify (+ 0 1) into 1 8.070 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 8.071 * [backup-simplify]: Simplify (+ 0 0) into 0 8.071 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 8.071 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 8.071 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 8.072 * [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))) 8.072 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.072 * [taylor]: Taking taylor expansion of 2 in n 8.072 * [backup-simplify]: Simplify 2 into 2 8.072 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.072 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.072 * [taylor]: Taking taylor expansion of n in n 8.073 * [backup-simplify]: Simplify 0 into 0 8.073 * [backup-simplify]: Simplify 1 into 1 8.073 * [backup-simplify]: Simplify (* 1 1) into 1 8.073 * [backup-simplify]: Simplify (/ 1 1) into 1 8.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.077 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.077 * [backup-simplify]: Simplify 0 into 0 8.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.078 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [backup-simplify]: Simplify (+ 0 0) into 0 8.079 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 8.079 * [backup-simplify]: Simplify (+ 0 0) into 0 8.079 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 8.079 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 8.079 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 8.080 * [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))) 8.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.080 * [taylor]: Taking taylor expansion of 2 in n 8.080 * [backup-simplify]: Simplify 2 into 2 8.080 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.080 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.080 * [taylor]: Taking taylor expansion of n in n 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify 1 into 1 8.080 * [backup-simplify]: Simplify (* 1 1) into 1 8.081 * [backup-simplify]: Simplify (* 1 1) into 1 8.085 * [backup-simplify]: Simplify (/ 1 1) into 1 8.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.090 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.090 * [backup-simplify]: Simplify 0 into 0 8.090 * [backup-simplify]: Simplify 1 into 1 8.091 * [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)))) 8.091 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 8.091 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 8.091 * [taylor]: Taking taylor expansion of -1 in n 8.091 * [backup-simplify]: Simplify -1 into -1 8.091 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 8.091 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 8.091 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 8.091 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.091 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.091 * [taylor]: Taking taylor expansion of f in n 8.091 * [backup-simplify]: Simplify f into f 8.091 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.091 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.091 * [taylor]: Taking taylor expansion of n in n 8.091 * [backup-simplify]: Simplify 0 into 0 8.091 * [backup-simplify]: Simplify 1 into 1 8.092 * [backup-simplify]: Simplify (/ 1 1) into 1 8.092 * [taylor]: Taking taylor expansion of f in n 8.092 * [backup-simplify]: Simplify f into f 8.092 * [backup-simplify]: Simplify (+ 0 1) into 1 8.092 * [backup-simplify]: Simplify (* 1 f) into f 8.092 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.092 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 8.092 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 8.092 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.092 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.092 * [taylor]: Taking taylor expansion of f in n 8.092 * [backup-simplify]: Simplify f into f 8.092 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.092 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.092 * [taylor]: Taking taylor expansion of n in n 8.092 * [backup-simplify]: Simplify 0 into 0 8.092 * [backup-simplify]: Simplify 1 into 1 8.092 * [backup-simplify]: Simplify (/ 1 1) into 1 8.092 * [taylor]: Taking taylor expansion of n in n 8.092 * [backup-simplify]: Simplify 0 into 0 8.092 * [backup-simplify]: Simplify 1 into 1 8.093 * [backup-simplify]: Simplify (+ 0 1) into 1 8.093 * [backup-simplify]: Simplify (* 1 0) into 0 8.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.093 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.094 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 8.094 * [backup-simplify]: Simplify (/ 1 1) into 1 8.094 * [backup-simplify]: Simplify (- 1) into -1 8.094 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.095 * [backup-simplify]: Simplify (/ -1 -1) into 1 8.095 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 8.095 * [taylor]: Taking taylor expansion of -1 in f 8.095 * [backup-simplify]: Simplify -1 into -1 8.095 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 8.095 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.095 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.095 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.095 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.095 * [taylor]: Taking taylor expansion of f in f 8.095 * [backup-simplify]: Simplify 0 into 0 8.095 * [backup-simplify]: Simplify 1 into 1 8.095 * [backup-simplify]: Simplify (/ 1 1) into 1 8.095 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.095 * [taylor]: Taking taylor expansion of n in f 8.095 * [backup-simplify]: Simplify n into n 8.095 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.095 * [taylor]: Taking taylor expansion of f in f 8.095 * [backup-simplify]: Simplify 0 into 0 8.095 * [backup-simplify]: Simplify 1 into 1 8.096 * [backup-simplify]: Simplify (+ 1 0) into 1 8.096 * [backup-simplify]: Simplify (* 1 0) into 0 8.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.096 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.097 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.097 * [backup-simplify]: Simplify (/ 1 1) into 1 8.097 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.097 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.097 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.097 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.097 * [taylor]: Taking taylor expansion of f in f 8.097 * [backup-simplify]: Simplify 0 into 0 8.097 * [backup-simplify]: Simplify 1 into 1 8.097 * [backup-simplify]: Simplify (/ 1 1) into 1 8.097 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.097 * [taylor]: Taking taylor expansion of n in f 8.097 * [backup-simplify]: Simplify n into n 8.097 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.097 * [taylor]: Taking taylor expansion of n in f 8.097 * [backup-simplify]: Simplify n into n 8.098 * [backup-simplify]: Simplify (+ 1 0) into 1 8.098 * [backup-simplify]: Simplify (* 1 n) into n 8.098 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.098 * [backup-simplify]: Simplify (+ 1 0) into 1 8.098 * [backup-simplify]: Simplify (/ -1 1) into -1 8.098 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 8.098 * [taylor]: Taking taylor expansion of -1 in f 8.098 * [backup-simplify]: Simplify -1 into -1 8.098 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 8.098 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.098 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.098 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.098 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.098 * [taylor]: Taking taylor expansion of f in f 8.098 * [backup-simplify]: Simplify 0 into 0 8.098 * [backup-simplify]: Simplify 1 into 1 8.099 * [backup-simplify]: Simplify (/ 1 1) into 1 8.099 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.099 * [taylor]: Taking taylor expansion of n in f 8.099 * [backup-simplify]: Simplify n into n 8.099 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.099 * [taylor]: Taking taylor expansion of f in f 8.099 * [backup-simplify]: Simplify 0 into 0 8.099 * [backup-simplify]: Simplify 1 into 1 8.099 * [backup-simplify]: Simplify (+ 1 0) into 1 8.099 * [backup-simplify]: Simplify (* 1 0) into 0 8.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.100 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.100 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.100 * [backup-simplify]: Simplify (/ 1 1) into 1 8.100 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.100 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.100 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.100 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.100 * [taylor]: Taking taylor expansion of f in f 8.100 * [backup-simplify]: Simplify 0 into 0 8.101 * [backup-simplify]: Simplify 1 into 1 8.101 * [backup-simplify]: Simplify (/ 1 1) into 1 8.101 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.101 * [taylor]: Taking taylor expansion of n in f 8.101 * [backup-simplify]: Simplify n into n 8.101 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.101 * [taylor]: Taking taylor expansion of n in f 8.101 * [backup-simplify]: Simplify n into n 8.101 * [backup-simplify]: Simplify (+ 1 0) into 1 8.101 * [backup-simplify]: Simplify (* 1 n) into n 8.101 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.101 * [backup-simplify]: Simplify (+ 1 0) into 1 8.102 * [backup-simplify]: Simplify (/ -1 1) into -1 8.102 * [taylor]: Taking taylor expansion of -1 in n 8.102 * [backup-simplify]: Simplify -1 into -1 8.102 * [backup-simplify]: Simplify -1 into -1 8.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.103 * [backup-simplify]: Simplify (+ 0 0) into 0 8.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 8.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 8.103 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.103 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 8.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 8.104 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.104 * [taylor]: Taking taylor expansion of 2 in n 8.104 * [backup-simplify]: Simplify 2 into 2 8.104 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.104 * [taylor]: Taking taylor expansion of n in n 8.104 * [backup-simplify]: Simplify 0 into 0 8.104 * [backup-simplify]: Simplify 1 into 1 8.104 * [backup-simplify]: Simplify (/ 1 1) into 1 8.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.105 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.105 * [backup-simplify]: Simplify (- 0) into 0 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify 0 into 0 8.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.106 * [backup-simplify]: Simplify (+ 0 0) into 0 8.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 8.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 8.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.108 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.108 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 8.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 8.108 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 8.109 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 8.109 * [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)))) 8.109 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.109 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.109 * [taylor]: Taking taylor expansion of 2 in n 8.110 * [backup-simplify]: Simplify 2 into 2 8.110 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.110 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.110 * [taylor]: Taking taylor expansion of n in n 8.110 * [backup-simplify]: Simplify 0 into 0 8.110 * [backup-simplify]: Simplify 1 into 1 8.110 * [backup-simplify]: Simplify (* 1 1) into 1 8.110 * [backup-simplify]: Simplify (/ 1 1) into 1 8.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.115 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.115 * [backup-simplify]: Simplify (- 0) into 0 8.115 * [backup-simplify]: Simplify 0 into 0 8.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.117 * [backup-simplify]: Simplify (- 0) into 0 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 0 into 0 8.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.119 * [backup-simplify]: Simplify (+ 0 0) into 0 8.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 8.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.123 * [backup-simplify]: Simplify (+ 0 0) into 0 8.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 8.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 8.125 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 8.125 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 8.126 * [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)))) 8.126 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.127 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.127 * [taylor]: Taking taylor expansion of 2 in n 8.127 * [backup-simplify]: Simplify 2 into 2 8.127 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.127 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.127 * [taylor]: Taking taylor expansion of n in n 8.127 * [backup-simplify]: Simplify 0 into 0 8.127 * [backup-simplify]: Simplify 1 into 1 8.127 * [backup-simplify]: Simplify (* 1 1) into 1 8.128 * [backup-simplify]: Simplify (* 1 1) into 1 8.128 * [backup-simplify]: Simplify (/ 1 1) into 1 8.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.137 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.138 * [backup-simplify]: Simplify (- 0) into 0 8.138 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify -1 into -1 8.138 * [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)))) 8.138 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 8.138 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 8.139 * [taylor]: Taking taylor expansion of -1 in n 8.139 * [backup-simplify]: Simplify -1 into -1 8.139 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 8.139 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 8.139 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 8.139 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.139 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.139 * [taylor]: Taking taylor expansion of f in n 8.139 * [backup-simplify]: Simplify f into f 8.139 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.139 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.139 * [taylor]: Taking taylor expansion of n in n 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 1 into 1 8.139 * [backup-simplify]: Simplify (/ 1 1) into 1 8.139 * [taylor]: Taking taylor expansion of f in n 8.139 * [backup-simplify]: Simplify f into f 8.140 * [backup-simplify]: Simplify (+ 0 1) into 1 8.140 * [backup-simplify]: Simplify (* 1 f) into f 8.140 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.140 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 8.140 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 8.140 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.140 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.140 * [taylor]: Taking taylor expansion of f in n 8.140 * [backup-simplify]: Simplify f into f 8.140 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.140 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.140 * [taylor]: Taking taylor expansion of n in n 8.140 * [backup-simplify]: Simplify 0 into 0 8.140 * [backup-simplify]: Simplify 1 into 1 8.141 * [backup-simplify]: Simplify (/ 1 1) into 1 8.141 * [taylor]: Taking taylor expansion of n in n 8.141 * [backup-simplify]: Simplify 0 into 0 8.141 * [backup-simplify]: Simplify 1 into 1 8.141 * [backup-simplify]: Simplify (+ 0 1) into 1 8.142 * [backup-simplify]: Simplify (* 1 0) into 0 8.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.143 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.143 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 8.144 * [backup-simplify]: Simplify (/ 1 1) into 1 8.144 * [backup-simplify]: Simplify (- 1) into -1 8.144 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.145 * [backup-simplify]: Simplify (/ -1 -1) into 1 8.145 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 8.145 * [taylor]: Taking taylor expansion of -1 in f 8.145 * [backup-simplify]: Simplify -1 into -1 8.145 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 8.145 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.145 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.145 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.145 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.145 * [taylor]: Taking taylor expansion of f in f 8.145 * [backup-simplify]: Simplify 0 into 0 8.145 * [backup-simplify]: Simplify 1 into 1 8.145 * [backup-simplify]: Simplify (/ 1 1) into 1 8.146 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.146 * [taylor]: Taking taylor expansion of n in f 8.146 * [backup-simplify]: Simplify n into n 8.146 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.146 * [taylor]: Taking taylor expansion of f in f 8.146 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify 1 into 1 8.146 * [backup-simplify]: Simplify (+ 1 0) into 1 8.147 * [backup-simplify]: Simplify (* 1 0) into 0 8.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.147 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.148 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.148 * [backup-simplify]: Simplify (/ 1 1) into 1 8.148 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.148 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.148 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.148 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.148 * [taylor]: Taking taylor expansion of f in f 8.148 * [backup-simplify]: Simplify 0 into 0 8.148 * [backup-simplify]: Simplify 1 into 1 8.149 * [backup-simplify]: Simplify (/ 1 1) into 1 8.149 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.149 * [taylor]: Taking taylor expansion of n in f 8.149 * [backup-simplify]: Simplify n into n 8.149 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.149 * [taylor]: Taking taylor expansion of n in f 8.149 * [backup-simplify]: Simplify n into n 8.149 * [backup-simplify]: Simplify (+ 1 0) into 1 8.149 * [backup-simplify]: Simplify (* 1 n) into n 8.150 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.150 * [backup-simplify]: Simplify (+ 1 0) into 1 8.150 * [backup-simplify]: Simplify (/ -1 1) into -1 8.150 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 8.150 * [taylor]: Taking taylor expansion of -1 in f 8.151 * [backup-simplify]: Simplify -1 into -1 8.151 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 8.151 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.151 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.151 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.151 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.151 * [taylor]: Taking taylor expansion of f in f 8.151 * [backup-simplify]: Simplify 0 into 0 8.151 * [backup-simplify]: Simplify 1 into 1 8.151 * [backup-simplify]: Simplify (/ 1 1) into 1 8.151 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.151 * [taylor]: Taking taylor expansion of n in f 8.151 * [backup-simplify]: Simplify n into n 8.151 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.151 * [taylor]: Taking taylor expansion of f in f 8.151 * [backup-simplify]: Simplify 0 into 0 8.151 * [backup-simplify]: Simplify 1 into 1 8.152 * [backup-simplify]: Simplify (+ 1 0) into 1 8.152 * [backup-simplify]: Simplify (* 1 0) into 0 8.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.153 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.154 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.154 * [backup-simplify]: Simplify (/ 1 1) into 1 8.154 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.154 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.154 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.154 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.154 * [taylor]: Taking taylor expansion of f in f 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify 1 into 1 8.155 * [backup-simplify]: Simplify (/ 1 1) into 1 8.155 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.155 * [taylor]: Taking taylor expansion of n in f 8.155 * [backup-simplify]: Simplify n into n 8.155 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.155 * [taylor]: Taking taylor expansion of n in f 8.155 * [backup-simplify]: Simplify n into n 8.155 * [backup-simplify]: Simplify (+ 1 0) into 1 8.155 * [backup-simplify]: Simplify (* 1 n) into n 8.155 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.156 * [backup-simplify]: Simplify (+ 1 0) into 1 8.156 * [backup-simplify]: Simplify (/ -1 1) into -1 8.156 * [taylor]: Taking taylor expansion of -1 in n 8.156 * [backup-simplify]: Simplify -1 into -1 8.156 * [backup-simplify]: Simplify -1 into -1 8.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.158 * [backup-simplify]: Simplify (+ 0 0) into 0 8.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 8.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 8.159 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.159 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 8.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 8.160 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.160 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.160 * [taylor]: Taking taylor expansion of 2 in n 8.160 * [backup-simplify]: Simplify 2 into 2 8.160 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.160 * [taylor]: Taking taylor expansion of n in n 8.160 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify 1 into 1 8.161 * [backup-simplify]: Simplify (/ 1 1) into 1 8.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.162 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.163 * [backup-simplify]: Simplify (- 0) into 0 8.163 * [backup-simplify]: Simplify 0 into 0 8.163 * [backup-simplify]: Simplify 0 into 0 8.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.164 * [backup-simplify]: Simplify (+ 0 0) into 0 8.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 8.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 8.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.167 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.168 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 8.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 8.168 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 8.168 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 8.169 * [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)))) 8.169 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.169 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.169 * [taylor]: Taking taylor expansion of 2 in n 8.169 * [backup-simplify]: Simplify 2 into 2 8.170 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.170 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.170 * [taylor]: Taking taylor expansion of n in n 8.170 * [backup-simplify]: Simplify 0 into 0 8.170 * [backup-simplify]: Simplify 1 into 1 8.170 * [backup-simplify]: Simplify (* 1 1) into 1 8.170 * [backup-simplify]: Simplify (/ 1 1) into 1 8.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.176 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.177 * [backup-simplify]: Simplify (- 0) into 0 8.177 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.179 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.179 * [backup-simplify]: Simplify (- 0) into 0 8.179 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.181 * [backup-simplify]: Simplify (+ 0 0) into 0 8.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 8.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.185 * [backup-simplify]: Simplify (+ 0 0) into 0 8.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 8.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 8.186 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 8.187 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 8.188 * [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)))) 8.188 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.188 * [taylor]: Taking taylor expansion of 2 in n 8.188 * [backup-simplify]: Simplify 2 into 2 8.188 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.188 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.188 * [taylor]: Taking taylor expansion of n in n 8.188 * [backup-simplify]: Simplify 0 into 0 8.189 * [backup-simplify]: Simplify 1 into 1 8.189 * [backup-simplify]: Simplify (* 1 1) into 1 8.189 * [backup-simplify]: Simplify (* 1 1) into 1 8.190 * [backup-simplify]: Simplify (/ 1 1) into 1 8.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.199 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.199 * [backup-simplify]: Simplify (- 0) into 0 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify -1 into -1 8.200 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 8.200 * [backup-simplify]: Simplify (exp (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) into (exp (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) 8.200 * [approximate]: Taking taylor expansion of (exp (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) in (f n) around 0 8.200 * [taylor]: Taking taylor expansion of (exp (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) in n 8.200 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 8.200 * [taylor]: Taking taylor expansion of -1 in n 8.200 * [backup-simplify]: Simplify -1 into -1 8.200 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 8.200 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 8.200 * [taylor]: Taking taylor expansion of f in n 8.200 * [backup-simplify]: Simplify f into f 8.200 * [taylor]: Taking taylor expansion of (+ n f) in n 8.200 * [taylor]: Taking taylor expansion of n in n 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 1 into 1 8.200 * [taylor]: Taking taylor expansion of f in n 8.200 * [backup-simplify]: Simplify f into f 8.201 * [backup-simplify]: Simplify (+ 0 f) into f 8.201 * [backup-simplify]: Simplify (/ f f) into 1 8.201 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 8.201 * [taylor]: Taking taylor expansion of n in n 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 1 into 1 8.201 * [taylor]: Taking taylor expansion of (+ n f) in n 8.201 * [taylor]: Taking taylor expansion of n in n 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 1 into 1 8.201 * [taylor]: Taking taylor expansion of f in n 8.201 * [backup-simplify]: Simplify f into f 8.201 * [backup-simplify]: Simplify (+ 0 f) into f 8.201 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.201 * [backup-simplify]: Simplify (+ 1 0) into 1 8.202 * [backup-simplify]: Simplify (/ -1 1) into -1 8.202 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.202 * [taylor]: Taking taylor expansion of (exp (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) in f 8.202 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 8.202 * [taylor]: Taking taylor expansion of -1 in f 8.202 * [backup-simplify]: Simplify -1 into -1 8.203 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 8.203 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 8.203 * [taylor]: Taking taylor expansion of f in f 8.203 * [backup-simplify]: Simplify 0 into 0 8.203 * [backup-simplify]: Simplify 1 into 1 8.203 * [taylor]: Taking taylor expansion of (+ n f) in f 8.203 * [taylor]: Taking taylor expansion of n in f 8.203 * [backup-simplify]: Simplify n into n 8.203 * [taylor]: Taking taylor expansion of f in f 8.203 * [backup-simplify]: Simplify 0 into 0 8.203 * [backup-simplify]: Simplify 1 into 1 8.203 * [backup-simplify]: Simplify (+ n 0) into n 8.203 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.203 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 8.203 * [taylor]: Taking taylor expansion of n in f 8.203 * [backup-simplify]: Simplify n into n 8.203 * [taylor]: Taking taylor expansion of (+ n f) in f 8.203 * [taylor]: Taking taylor expansion of n in f 8.203 * [backup-simplify]: Simplify n into n 8.203 * [taylor]: Taking taylor expansion of f in f 8.203 * [backup-simplify]: Simplify 0 into 0 8.203 * [backup-simplify]: Simplify 1 into 1 8.203 * [backup-simplify]: Simplify (+ n 0) into n 8.203 * [backup-simplify]: Simplify (/ n n) into 1 8.204 * [backup-simplify]: Simplify (- 1) into -1 8.204 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.205 * [backup-simplify]: Simplify (/ -1 -1) into 1 8.205 * [backup-simplify]: Simplify (exp 1) into E 8.205 * [taylor]: Taking taylor expansion of (exp (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) in f 8.205 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 8.205 * [taylor]: Taking taylor expansion of -1 in f 8.205 * [backup-simplify]: Simplify -1 into -1 8.205 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 8.205 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 8.205 * [taylor]: Taking taylor expansion of f in f 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 1 into 1 8.205 * [taylor]: Taking taylor expansion of (+ n f) in f 8.205 * [taylor]: Taking taylor expansion of n in f 8.205 * [backup-simplify]: Simplify n into n 8.205 * [taylor]: Taking taylor expansion of f in f 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 1 into 1 8.205 * [backup-simplify]: Simplify (+ n 0) into n 8.205 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.205 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 8.205 * [taylor]: Taking taylor expansion of n in f 8.205 * [backup-simplify]: Simplify n into n 8.205 * [taylor]: Taking taylor expansion of (+ n f) in f 8.205 * [taylor]: Taking taylor expansion of n in f 8.205 * [backup-simplify]: Simplify n into n 8.205 * [taylor]: Taking taylor expansion of f in f 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 1 into 1 8.205 * [backup-simplify]: Simplify (+ n 0) into n 8.206 * [backup-simplify]: Simplify (/ n n) into 1 8.206 * [backup-simplify]: Simplify (- 1) into -1 8.206 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.207 * [backup-simplify]: Simplify (/ -1 -1) into 1 8.207 * [backup-simplify]: Simplify (exp 1) into E 8.207 * [taylor]: Taking taylor expansion of E in n 8.207 * [backup-simplify]: Simplify E into E 8.207 * [backup-simplify]: Simplify E into E 8.207 * [backup-simplify]: Simplify (+ 0 1) into 1 8.208 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 8.208 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 8.208 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 8.208 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) 8.209 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 8.209 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 8.209 * [taylor]: Taking taylor expansion of 2 in n 8.209 * [backup-simplify]: Simplify 2 into 2 8.209 * [taylor]: Taking taylor expansion of (/ E n) in n 8.209 * [taylor]: Taking taylor expansion of E in n 8.209 * [backup-simplify]: Simplify E into E 8.209 * [taylor]: Taking taylor expansion of n in n 8.209 * [backup-simplify]: Simplify 0 into 0 8.209 * [backup-simplify]: Simplify 1 into 1 8.210 * [backup-simplify]: Simplify (/ E 1) into E 8.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 8.211 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 8.211 * [backup-simplify]: Simplify 0 into 0 8.211 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify (+ 0 1) into 1 8.212 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 8.213 * [backup-simplify]: Simplify (+ 0 0) into 0 8.213 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 8.213 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 8.214 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 8.215 * [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))) 8.215 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 8.215 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 8.215 * [taylor]: Taking taylor expansion of 4 in n 8.215 * [backup-simplify]: Simplify 4 into 4 8.215 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 8.215 * [taylor]: Taking taylor expansion of E in n 8.215 * [backup-simplify]: Simplify E into E 8.215 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.215 * [taylor]: Taking taylor expansion of n in n 8.215 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify 1 into 1 8.216 * [backup-simplify]: Simplify (* 1 1) into 1 8.216 * [backup-simplify]: Simplify (/ E 1) into E 8.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 8.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.221 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 8.221 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.229 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 8.229 * [backup-simplify]: Simplify 0 into 0 8.229 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify (+ 0 0) into 0 8.231 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 8.231 * [backup-simplify]: Simplify (+ 0 0) into 0 8.231 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 8.232 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 8.232 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 8.233 * [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))) 8.234 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 8.234 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 8.234 * [taylor]: Taking taylor expansion of 22/3 in n 8.234 * [backup-simplify]: Simplify 22/3 into 22/3 8.235 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 8.235 * [taylor]: Taking taylor expansion of E in n 8.235 * [backup-simplify]: Simplify E into E 8.235 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.235 * [taylor]: Taking taylor expansion of n in n 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify 1 into 1 8.235 * [backup-simplify]: Simplify (* 1 1) into 1 8.235 * [backup-simplify]: Simplify (* 1 1) into 1 8.236 * [backup-simplify]: Simplify (/ E 1) into E 8.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 8.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.246 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify E into E 8.247 * [backup-simplify]: Simplify (exp (/ -1 (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n)))))) into (exp (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))))) 8.247 * [approximate]: Taking taylor expansion of (exp (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))))) in (f n) around 0 8.247 * [taylor]: Taking taylor expansion of (exp (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))))) in n 8.247 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 8.247 * [taylor]: Taking taylor expansion of -1 in n 8.247 * [backup-simplify]: Simplify -1 into -1 8.247 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 8.247 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 8.247 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 8.247 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.247 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.247 * [taylor]: Taking taylor expansion of f in n 8.247 * [backup-simplify]: Simplify f into f 8.247 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.247 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.248 * [taylor]: Taking taylor expansion of n in n 8.248 * [backup-simplify]: Simplify 0 into 0 8.248 * [backup-simplify]: Simplify 1 into 1 8.248 * [backup-simplify]: Simplify (/ 1 1) into 1 8.248 * [taylor]: Taking taylor expansion of f in n 8.248 * [backup-simplify]: Simplify f into f 8.249 * [backup-simplify]: Simplify (+ 0 1) into 1 8.249 * [backup-simplify]: Simplify (* 1 f) into f 8.249 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.249 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 8.249 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 8.249 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.249 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.249 * [taylor]: Taking taylor expansion of f in n 8.249 * [backup-simplify]: Simplify f into f 8.249 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.249 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.249 * [taylor]: Taking taylor expansion of n in n 8.249 * [backup-simplify]: Simplify 0 into 0 8.249 * [backup-simplify]: Simplify 1 into 1 8.250 * [backup-simplify]: Simplify (/ 1 1) into 1 8.250 * [taylor]: Taking taylor expansion of n in n 8.250 * [backup-simplify]: Simplify 0 into 0 8.250 * [backup-simplify]: Simplify 1 into 1 8.250 * [backup-simplify]: Simplify (+ 0 1) into 1 8.251 * [backup-simplify]: Simplify (* 1 0) into 0 8.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.252 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.252 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 8.252 * [backup-simplify]: Simplify (/ 1 1) into 1 8.253 * [backup-simplify]: Simplify (- 1) into -1 8.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.254 * [backup-simplify]: Simplify (/ -1 -1) into 1 8.254 * [backup-simplify]: Simplify (exp 1) into E 8.254 * [taylor]: Taking taylor expansion of (exp (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))))) in f 8.254 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 8.254 * [taylor]: Taking taylor expansion of -1 in f 8.254 * [backup-simplify]: Simplify -1 into -1 8.254 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 8.254 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.254 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.254 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.254 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.254 * [taylor]: Taking taylor expansion of f in f 8.254 * [backup-simplify]: Simplify 0 into 0 8.254 * [backup-simplify]: Simplify 1 into 1 8.254 * [backup-simplify]: Simplify (/ 1 1) into 1 8.255 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.255 * [taylor]: Taking taylor expansion of n in f 8.255 * [backup-simplify]: Simplify n into n 8.255 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.255 * [taylor]: Taking taylor expansion of f in f 8.255 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify 1 into 1 8.255 * [backup-simplify]: Simplify (+ 1 0) into 1 8.256 * [backup-simplify]: Simplify (* 1 0) into 0 8.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.257 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.257 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.257 * [backup-simplify]: Simplify (/ 1 1) into 1 8.257 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.257 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.258 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.258 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.258 * [taylor]: Taking taylor expansion of f in f 8.258 * [backup-simplify]: Simplify 0 into 0 8.258 * [backup-simplify]: Simplify 1 into 1 8.258 * [backup-simplify]: Simplify (/ 1 1) into 1 8.258 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.258 * [taylor]: Taking taylor expansion of n in f 8.258 * [backup-simplify]: Simplify n into n 8.258 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.258 * [taylor]: Taking taylor expansion of n in f 8.258 * [backup-simplify]: Simplify n into n 8.259 * [backup-simplify]: Simplify (+ 1 0) into 1 8.259 * [backup-simplify]: Simplify (* 1 n) into n 8.259 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.259 * [backup-simplify]: Simplify (+ 1 0) into 1 8.260 * [backup-simplify]: Simplify (/ -1 1) into -1 8.260 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.260 * [taylor]: Taking taylor expansion of (exp (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))))) in f 8.260 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 8.260 * [taylor]: Taking taylor expansion of -1 in f 8.260 * [backup-simplify]: Simplify -1 into -1 8.260 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 8.260 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.260 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.260 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.260 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.260 * [taylor]: Taking taylor expansion of f in f 8.260 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify 1 into 1 8.261 * [backup-simplify]: Simplify (/ 1 1) into 1 8.261 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.261 * [taylor]: Taking taylor expansion of n in f 8.261 * [backup-simplify]: Simplify n into n 8.261 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.261 * [taylor]: Taking taylor expansion of f in f 8.261 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify 1 into 1 8.261 * [backup-simplify]: Simplify (+ 1 0) into 1 8.262 * [backup-simplify]: Simplify (* 1 0) into 0 8.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.262 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.262 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.263 * [backup-simplify]: Simplify (/ 1 1) into 1 8.263 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.263 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.263 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.263 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.263 * [taylor]: Taking taylor expansion of f in f 8.263 * [backup-simplify]: Simplify 0 into 0 8.263 * [backup-simplify]: Simplify 1 into 1 8.263 * [backup-simplify]: Simplify (/ 1 1) into 1 8.263 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.263 * [taylor]: Taking taylor expansion of n in f 8.263 * [backup-simplify]: Simplify n into n 8.263 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.263 * [taylor]: Taking taylor expansion of n in f 8.263 * [backup-simplify]: Simplify n into n 8.263 * [backup-simplify]: Simplify (+ 1 0) into 1 8.263 * [backup-simplify]: Simplify (* 1 n) into n 8.263 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.264 * [backup-simplify]: Simplify (+ 1 0) into 1 8.264 * [backup-simplify]: Simplify (/ -1 1) into -1 8.264 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.264 * [taylor]: Taking taylor expansion of (exp -1) in n 8.264 * [taylor]: Taking taylor expansion of -1 in n 8.264 * [backup-simplify]: Simplify -1 into -1 8.264 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.265 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.266 * [backup-simplify]: Simplify (+ 0 0) into 0 8.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 8.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 8.266 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.266 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 8.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 8.267 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 8.267 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 8.267 * [taylor]: Taking taylor expansion of -2 in n 8.267 * [backup-simplify]: Simplify -2 into -2 8.267 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 8.267 * [taylor]: Taking taylor expansion of (exp -1) in n 8.267 * [taylor]: Taking taylor expansion of -1 in n 8.267 * [backup-simplify]: Simplify -1 into -1 8.267 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.268 * [taylor]: Taking taylor expansion of n in n 8.268 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify 1 into 1 8.268 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 8.269 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 8.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 8.270 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 8.270 * [backup-simplify]: Simplify 0 into 0 8.270 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 8.270 * [backup-simplify]: Simplify 0 into 0 8.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.271 * [backup-simplify]: Simplify (+ 0 0) into 0 8.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 8.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 8.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.273 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.273 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 8.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 8.274 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 8.274 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 8.274 * [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)))) 8.275 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 8.275 * [taylor]: Taking taylor expansion of 0 in n 8.275 * [backup-simplify]: Simplify 0 into 0 8.275 * [backup-simplify]: Simplify 0 into 0 8.276 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.277 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 8.277 * [backup-simplify]: Simplify 0 into 0 8.278 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.278 * [backup-simplify]: Simplify 0 into 0 8.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.279 * [backup-simplify]: Simplify (+ 0 0) into 0 8.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 8.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.282 * [backup-simplify]: Simplify (+ 0 0) into 0 8.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 8.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 8.282 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 8.282 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 8.283 * [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)))) 8.284 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 8.284 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 8.284 * [taylor]: Taking taylor expansion of 2/3 in n 8.284 * [backup-simplify]: Simplify 2/3 into 2/3 8.284 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 8.284 * [taylor]: Taking taylor expansion of (exp -1) in n 8.284 * [taylor]: Taking taylor expansion of -1 in n 8.284 * [backup-simplify]: Simplify -1 into -1 8.284 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.284 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.284 * [taylor]: Taking taylor expansion of n in n 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify 1 into 1 8.285 * [backup-simplify]: Simplify (* 1 1) into 1 8.285 * [backup-simplify]: Simplify (* 1 1) into 1 8.286 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 8.287 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.290 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 8.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 8.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.294 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.298 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 8.298 * [backup-simplify]: Simplify 0 into 0 8.298 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.299 * [backup-simplify]: Simplify (exp (/ -1 (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))))))) into (exp (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))))) 8.299 * [approximate]: Taking taylor expansion of (exp (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))))) in (f n) around 0 8.299 * [taylor]: Taking taylor expansion of (exp (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))))) in n 8.299 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 8.299 * [taylor]: Taking taylor expansion of -1 in n 8.299 * [backup-simplify]: Simplify -1 into -1 8.299 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 8.299 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 8.299 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 8.299 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.299 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.299 * [taylor]: Taking taylor expansion of f in n 8.299 * [backup-simplify]: Simplify f into f 8.299 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.300 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.300 * [taylor]: Taking taylor expansion of n in n 8.300 * [backup-simplify]: Simplify 0 into 0 8.300 * [backup-simplify]: Simplify 1 into 1 8.300 * [backup-simplify]: Simplify (/ 1 1) into 1 8.300 * [taylor]: Taking taylor expansion of f in n 8.300 * [backup-simplify]: Simplify f into f 8.300 * [backup-simplify]: Simplify (+ 0 1) into 1 8.301 * [backup-simplify]: Simplify (* 1 f) into f 8.301 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.301 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 8.301 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 8.301 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.301 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.301 * [taylor]: Taking taylor expansion of f in n 8.301 * [backup-simplify]: Simplify f into f 8.301 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.301 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.301 * [taylor]: Taking taylor expansion of n in n 8.301 * [backup-simplify]: Simplify 0 into 0 8.301 * [backup-simplify]: Simplify 1 into 1 8.301 * [backup-simplify]: Simplify (/ 1 1) into 1 8.301 * [taylor]: Taking taylor expansion of n in n 8.301 * [backup-simplify]: Simplify 0 into 0 8.302 * [backup-simplify]: Simplify 1 into 1 8.302 * [backup-simplify]: Simplify (+ 0 1) into 1 8.303 * [backup-simplify]: Simplify (* 1 0) into 0 8.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.304 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.304 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 8.304 * [backup-simplify]: Simplify (/ 1 1) into 1 8.305 * [backup-simplify]: Simplify (- 1) into -1 8.305 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.306 * [backup-simplify]: Simplify (/ -1 -1) into 1 8.306 * [backup-simplify]: Simplify (exp 1) into E 8.306 * [taylor]: Taking taylor expansion of (exp (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))))) in f 8.306 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 8.306 * [taylor]: Taking taylor expansion of -1 in f 8.306 * [backup-simplify]: Simplify -1 into -1 8.306 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 8.306 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.306 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.306 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.306 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.306 * [taylor]: Taking taylor expansion of f in f 8.306 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify 1 into 1 8.306 * [backup-simplify]: Simplify (/ 1 1) into 1 8.306 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.306 * [taylor]: Taking taylor expansion of n in f 8.306 * [backup-simplify]: Simplify n into n 8.307 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.307 * [taylor]: Taking taylor expansion of f in f 8.307 * [backup-simplify]: Simplify 0 into 0 8.307 * [backup-simplify]: Simplify 1 into 1 8.307 * [backup-simplify]: Simplify (+ 1 0) into 1 8.307 * [backup-simplify]: Simplify (* 1 0) into 0 8.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.308 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.309 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.309 * [backup-simplify]: Simplify (/ 1 1) into 1 8.309 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.309 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.309 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.309 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.309 * [taylor]: Taking taylor expansion of f in f 8.309 * [backup-simplify]: Simplify 0 into 0 8.309 * [backup-simplify]: Simplify 1 into 1 8.310 * [backup-simplify]: Simplify (/ 1 1) into 1 8.310 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.310 * [taylor]: Taking taylor expansion of n in f 8.310 * [backup-simplify]: Simplify n into n 8.310 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.310 * [taylor]: Taking taylor expansion of n in f 8.310 * [backup-simplify]: Simplify n into n 8.310 * [backup-simplify]: Simplify (+ 1 0) into 1 8.310 * [backup-simplify]: Simplify (* 1 n) into n 8.311 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.311 * [backup-simplify]: Simplify (+ 1 0) into 1 8.311 * [backup-simplify]: Simplify (/ -1 1) into -1 8.312 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.312 * [taylor]: Taking taylor expansion of (exp (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))))) in f 8.312 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 8.312 * [taylor]: Taking taylor expansion of -1 in f 8.312 * [backup-simplify]: Simplify -1 into -1 8.312 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 8.312 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.312 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.312 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.312 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.312 * [taylor]: Taking taylor expansion of f in f 8.312 * [backup-simplify]: Simplify 0 into 0 8.312 * [backup-simplify]: Simplify 1 into 1 8.312 * [backup-simplify]: Simplify (/ 1 1) into 1 8.312 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.313 * [taylor]: Taking taylor expansion of n in f 8.313 * [backup-simplify]: Simplify n into n 8.313 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.313 * [taylor]: Taking taylor expansion of f in f 8.313 * [backup-simplify]: Simplify 0 into 0 8.313 * [backup-simplify]: Simplify 1 into 1 8.313 * [backup-simplify]: Simplify (+ 1 0) into 1 8.314 * [backup-simplify]: Simplify (* 1 0) into 0 8.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.314 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.315 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.315 * [backup-simplify]: Simplify (/ 1 1) into 1 8.315 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.315 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.315 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.315 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.315 * [taylor]: Taking taylor expansion of f in f 8.315 * [backup-simplify]: Simplify 0 into 0 8.315 * [backup-simplify]: Simplify 1 into 1 8.316 * [backup-simplify]: Simplify (/ 1 1) into 1 8.316 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.316 * [taylor]: Taking taylor expansion of n in f 8.316 * [backup-simplify]: Simplify n into n 8.316 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.316 * [taylor]: Taking taylor expansion of n in f 8.316 * [backup-simplify]: Simplify n into n 8.317 * [backup-simplify]: Simplify (+ 1 0) into 1 8.317 * [backup-simplify]: Simplify (* 1 n) into n 8.317 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.317 * [backup-simplify]: Simplify (+ 1 0) into 1 8.318 * [backup-simplify]: Simplify (/ -1 1) into -1 8.318 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.318 * [taylor]: Taking taylor expansion of (exp -1) in n 8.318 * [taylor]: Taking taylor expansion of -1 in n 8.318 * [backup-simplify]: Simplify -1 into -1 8.319 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.319 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.320 * [backup-simplify]: Simplify (+ 0 0) into 0 8.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 8.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 8.322 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.322 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 8.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 8.323 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 8.323 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 8.323 * [taylor]: Taking taylor expansion of -2 in n 8.323 * [backup-simplify]: Simplify -2 into -2 8.323 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 8.323 * [taylor]: Taking taylor expansion of (exp -1) in n 8.323 * [taylor]: Taking taylor expansion of -1 in n 8.323 * [backup-simplify]: Simplify -1 into -1 8.324 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.324 * [taylor]: Taking taylor expansion of n in n 8.324 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify 1 into 1 8.325 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 8.326 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 8.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 8.327 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 8.327 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 8.329 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.330 * [backup-simplify]: Simplify (+ 0 0) into 0 8.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 8.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 8.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.333 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.334 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 8.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 8.334 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 8.334 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 8.335 * [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)))) 8.336 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 8.336 * [taylor]: Taking taylor expansion of 0 in n 8.337 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify 0 into 0 8.338 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.341 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 8.341 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.343 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.344 * [backup-simplify]: Simplify (+ 0 0) into 0 8.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 8.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.348 * [backup-simplify]: Simplify (+ 0 0) into 0 8.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 8.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 8.349 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 8.349 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 8.350 * [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)))) 8.351 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 8.351 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 8.351 * [taylor]: Taking taylor expansion of 2/3 in n 8.351 * [backup-simplify]: Simplify 2/3 into 2/3 8.351 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 8.351 * [taylor]: Taking taylor expansion of (exp -1) in n 8.351 * [taylor]: Taking taylor expansion of -1 in n 8.351 * [backup-simplify]: Simplify -1 into -1 8.352 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.352 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.352 * [taylor]: Taking taylor expansion of n in n 8.352 * [backup-simplify]: Simplify 0 into 0 8.352 * [backup-simplify]: Simplify 1 into 1 8.352 * [backup-simplify]: Simplify (* 1 1) into 1 8.352 * [backup-simplify]: Simplify (* 1 1) into 1 8.353 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 8.354 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.363 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 8.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 8.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.366 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.369 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.369 * * * [progress]: simplifying candidates 8.374 * [simplify]: Simplifying: (/ (exp (/ f (+ f n))) (exp (/ n (+ f n)))) (log (- (/ f (+ f n)) (/ n (+ f n)))) (exp (- (/ f (+ f n)) (/ n (+ f n)))) (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n))))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (* (* (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n)))) (sqrt (- (/ f (+ f n)) (/ n (+ f n)))) (sqrt (- (/ f (+ f n)) (/ n (+ f n)))) (- f n) (- (* f (+ f n)) (* (+ f n) n)) (* (+ f n) (+ f n)) (- (pow (/ f (+ f n)) 3) (pow (/ n (+ f n)) 3)) (+ (* (/ f (+ f n)) (/ f (+ f n))) (+ (* (/ n (+ f n)) (/ n (+ f n))) (* (/ f (+ f n)) (/ n (+ f n))))) (- (/ n (+ f n))) (- (* (/ f (+ f n)) (/ f (+ f n))) (* (/ n (+ f n)) (/ n (+ f n)))) (+ (/ f (+ f n)) (/ n (+ f n))) (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n)))) (- (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n)))) (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n)))) (- (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n)))) (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (/ f (cbrt (+ f n))) (/ n (cbrt (+ f n)))) (- (/ f (sqrt (+ f n))) (/ n (sqrt (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- f n) (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3)))) (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n)))) (- (/ n (+ f n))) (- (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))) (- (log -1) (log (- (/ f (+ f n)) (/ n (+ f n))))) (log (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (exp (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (/ (* (* -1 -1) -1) (* (* (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n))))) (* (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))))) (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (* (* (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (sqrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (sqrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (- -1) (- (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))))) (/ (cbrt -1) (cbrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (cbrt -1) (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ (cbrt -1) (- (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (cbrt -1) (- (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ (cbrt -1) (- (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (cbrt -1) (- (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (- (/ f (cbrt (+ f n))) (/ n (cbrt (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) (/ (cbrt -1) (- (/ f (sqrt (+ f n))) (/ n (sqrt (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (+ f n))) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (* f f) (- (* n n) (* f n)))) (/ (cbrt -1) (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3))))) (/ (* (cbrt -1) (cbrt -1)) (- f n)) (/ (cbrt -1) (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n))))) (/ (sqrt -1) (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))))) (/ (sqrt -1) (cbrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (sqrt -1) (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (sqrt -1) (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (sqrt -1) 1) (/ (sqrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (sqrt -1) (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ (sqrt -1) (- (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ (sqrt -1) (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (sqrt -1) (- (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (sqrt -1) (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ (sqrt -1) (- (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ (sqrt 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# #) 10.111 * * * [regime-changes]: Trying 2 branch expressions: (n f) 10.111 * * * * [regimes]: Trying to branch on n from (# # #) 10.132 * * * * [regimes]: Trying to branch on f from (# # #) 10.148 * * * [regime]: Found split indices: #