0.747 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.171 * * * [progress]: [2/2] Setting up program. 0.174 * [progress]: [Phase 2 of 3] Improving. 0.176 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.176 * [simplify]: Sending expressions to egg_math: (/ (- (+ h1 h0)) (- h1 h0)) 0.211 * * [progress]: iteration 1 / 4 0.211 * * * [progress]: picking best candidate 0.215 * * * * [pick]: Picked # 0.215 * * * [progress]: localizing error 0.235 * * * [progress]: generating rewritten candidates 0.235 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.361 * * * [progress]: generating series expansions 0.362 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.372 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.372 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.374 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.374 * [taylor]: Taking taylor expansion of -1 in n 0.374 * [backup-simplify]: Simplify -1 into -1 0.374 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.374 * [taylor]: Taking taylor expansion of (+ n f) in n 0.374 * [taylor]: Taking taylor expansion of n in n 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [taylor]: Taking taylor expansion of f in n 0.374 * [backup-simplify]: Simplify f into f 0.374 * [taylor]: Taking taylor expansion of (- f n) in n 0.374 * [taylor]: Taking taylor expansion of f in n 0.374 * [backup-simplify]: Simplify f into f 0.375 * [taylor]: Taking taylor expansion of n in n 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (+ 0 f) into f 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.376 * [backup-simplify]: Simplify (+ f 0) into f 0.376 * [backup-simplify]: Simplify (/ f f) into 1 0.376 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.376 * [taylor]: Taking taylor expansion of -1 in f 0.376 * [backup-simplify]: Simplify -1 into -1 0.376 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.376 * [taylor]: Taking taylor expansion of (+ n f) in f 0.377 * [taylor]: Taking taylor expansion of n in f 0.377 * [backup-simplify]: Simplify n into n 0.377 * [taylor]: Taking taylor expansion of f in f 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [taylor]: Taking taylor expansion of (- f n) in f 0.377 * [taylor]: Taking taylor expansion of f in f 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [taylor]: Taking taylor expansion of n in f 0.377 * [backup-simplify]: Simplify n into n 0.377 * [backup-simplify]: Simplify (+ n 0) into n 0.377 * [backup-simplify]: Simplify (- n) into (- n) 0.377 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.377 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.377 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.377 * [taylor]: Taking taylor expansion of -1 in f 0.377 * [backup-simplify]: Simplify -1 into -1 0.377 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.377 * [taylor]: Taking taylor expansion of (+ n f) in f 0.377 * [taylor]: Taking taylor expansion of n in f 0.377 * [backup-simplify]: Simplify n into n 0.377 * [taylor]: Taking taylor expansion of f in f 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [taylor]: Taking taylor expansion of (- f n) in f 0.377 * [taylor]: Taking taylor expansion of f in f 0.377 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [taylor]: Taking taylor expansion of n in f 0.378 * [backup-simplify]: Simplify n into n 0.378 * [backup-simplify]: Simplify (+ n 0) into n 0.378 * [backup-simplify]: Simplify (- n) into (- n) 0.378 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.378 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.379 * [backup-simplify]: Simplify (* -1 -1) into 1 0.379 * [taylor]: Taking taylor expansion of 1 in n 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (+ 0 1) into 1 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.381 * [backup-simplify]: Simplify (+ 1 0) into 1 0.383 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.384 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.384 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.384 * [taylor]: Taking taylor expansion of 2 in n 0.384 * [backup-simplify]: Simplify 2 into 2 0.384 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.384 * [taylor]: Taking taylor expansion of n in n 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.390 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.390 * [taylor]: Taking taylor expansion of 2 in n 0.390 * [backup-simplify]: Simplify 2 into 2 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.390 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.390 * [taylor]: Taking taylor expansion of n in n 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (* 1 1) into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [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 0.395 * [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 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [backup-simplify]: Simplify (- 0) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [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)))) 0.402 * [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))) 0.402 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.402 * [taylor]: Taking taylor expansion of 2 in n 0.402 * [backup-simplify]: Simplify 2 into 2 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.402 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.402 * [taylor]: Taking taylor expansion of n in n 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.414 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.414 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.414 * [taylor]: Taking taylor expansion of -1 in n 0.414 * [backup-simplify]: Simplify -1 into -1 0.414 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.414 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.414 * [taylor]: Taking taylor expansion of f in n 0.414 * [backup-simplify]: Simplify f into f 0.415 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 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 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.416 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.416 * [taylor]: Taking taylor expansion of f in n 0.416 * [backup-simplify]: Simplify f into f 0.416 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.416 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.416 * [taylor]: Taking taylor expansion of n in n 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [backup-simplify]: Simplify (+ 0 1) into 1 0.417 * [backup-simplify]: Simplify (- 1) into -1 0.418 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.418 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.418 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.418 * [taylor]: Taking taylor expansion of -1 in f 0.418 * [backup-simplify]: Simplify -1 into -1 0.418 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.419 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.419 * [taylor]: Taking taylor expansion of f in f 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.419 * [taylor]: Taking taylor expansion of n in f 0.419 * [backup-simplify]: Simplify n into n 0.419 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.419 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.419 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.419 * [taylor]: Taking taylor expansion of f in f 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.420 * [taylor]: Taking taylor expansion of n in f 0.420 * [backup-simplify]: Simplify n into n 0.420 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.420 * [backup-simplify]: Simplify (+ 1 0) into 1 0.421 * [backup-simplify]: Simplify (+ 1 0) into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.421 * [taylor]: Taking taylor expansion of -1 in f 0.422 * [backup-simplify]: Simplify -1 into -1 0.422 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.422 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.422 * [taylor]: Taking taylor expansion of f in f 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 0.422 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.422 * [taylor]: Taking taylor expansion of n in f 0.422 * [backup-simplify]: Simplify n into n 0.422 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.422 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.422 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.422 * [taylor]: Taking taylor expansion of f in f 0.422 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.423 * [taylor]: Taking taylor expansion of n in f 0.423 * [backup-simplify]: Simplify n into n 0.423 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.424 * [backup-simplify]: Simplify (+ 1 0) into 1 0.424 * [backup-simplify]: Simplify (+ 1 0) into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [backup-simplify]: Simplify (* -1 1) into -1 0.425 * [taylor]: Taking taylor expansion of -1 in n 0.425 * [backup-simplify]: Simplify -1 into -1 0.425 * [backup-simplify]: Simplify -1 into -1 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.428 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.428 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.429 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.429 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.429 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.429 * [taylor]: Taking taylor expansion of 2 in n 0.429 * [backup-simplify]: Simplify 2 into 2 0.429 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.429 * [taylor]: Taking taylor expansion of n in n 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (- 0) into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.434 * [backup-simplify]: Simplify (- 0) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.437 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.437 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.437 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.437 * [taylor]: Taking taylor expansion of 2 in n 0.437 * [backup-simplify]: Simplify 2 into 2 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.437 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.437 * [taylor]: Taking taylor expansion of n in n 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (* 1 1) into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [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))) 0.452 * [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)))) 0.452 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.452 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.452 * [taylor]: Taking taylor expansion of 2 in n 0.452 * [backup-simplify]: Simplify 2 into 2 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.452 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.452 * [taylor]: Taking taylor expansion of n in n 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 0.453 * [backup-simplify]: Simplify (* 1 1) into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify -1 into -1 0.463 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.463 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.463 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.463 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.463 * [taylor]: Taking taylor expansion of f in n 0.464 * [backup-simplify]: Simplify f into f 0.464 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.464 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.464 * [taylor]: Taking taylor expansion of n in n 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.464 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.464 * [taylor]: Taking taylor expansion of n in n 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.465 * [taylor]: Taking taylor expansion of f in n 0.465 * [backup-simplify]: Simplify f into f 0.465 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.465 * [backup-simplify]: Simplify (+ 0 1) into 1 0.466 * [backup-simplify]: Simplify (+ 1 0) into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.466 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.466 * [taylor]: Taking taylor expansion of f in f 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.467 * [taylor]: Taking taylor expansion of n in f 0.467 * [backup-simplify]: Simplify n into n 0.467 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.467 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.467 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.467 * [taylor]: Taking taylor expansion of n in f 0.467 * [backup-simplify]: Simplify n into n 0.467 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.467 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.467 * [taylor]: Taking taylor expansion of f in f 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [backup-simplify]: Simplify (+ 1 0) into 1 0.469 * [backup-simplify]: Simplify (- 1) into -1 0.469 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.469 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.469 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.470 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.470 * [taylor]: Taking taylor expansion of f in f 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.470 * [taylor]: Taking taylor expansion of n in f 0.470 * [backup-simplify]: Simplify n into n 0.470 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.470 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.470 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.470 * [taylor]: Taking taylor expansion of n in f 0.470 * [backup-simplify]: Simplify n into n 0.470 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.470 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.470 * [taylor]: Taking taylor expansion of f in f 0.470 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [backup-simplify]: Simplify (+ 1 0) into 1 0.472 * [backup-simplify]: Simplify (- 1) into -1 0.472 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.473 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.473 * [taylor]: Taking taylor expansion of -1 in n 0.473 * [backup-simplify]: Simplify -1 into -1 0.473 * [backup-simplify]: Simplify -1 into -1 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (- 0) into 0 0.475 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.475 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.475 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.475 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.475 * [taylor]: Taking taylor expansion of 2 in n 0.475 * [backup-simplify]: Simplify 2 into 2 0.475 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.475 * [taylor]: Taking taylor expansion of n in n 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.478 * [backup-simplify]: Simplify (- 0) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.483 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.483 * [taylor]: Taking taylor expansion of 2 in n 0.483 * [backup-simplify]: Simplify 2 into 2 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.483 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.483 * [taylor]: Taking taylor expansion of n in n 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (* 1 1) into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.490 * [backup-simplify]: Simplify (- 0) into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (- 0) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.495 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.495 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.495 * [taylor]: Taking taylor expansion of 2 in n 0.495 * [backup-simplify]: Simplify 2 into 2 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.495 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.495 * [taylor]: Taking taylor expansion of n in n 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (- 0) into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify -1 into -1 0.516 * * * [progress]: simplifying candidates 0.520 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.521 * [simplify]: Sending expressions to egg_math: (- (log (- (+ h1 h0))) (log (- h1 h0))) (log (/ (- (+ h1 h0)) (- h1 h0))) (exp (/ (- (+ h1 h0)) (- h1 h0))) (/ (* (* (- (+ h1 h0)) (- (+ h1 h0))) (- (+ h1 h0))) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (* (* (/ (- (+ h1 h0)) (- h1 h0)) (/ (- (+ h1 h0)) (- h1 h0))) (/ (- (+ h1 h0)) (- h1 h0))) (sqrt (/ (- (+ h1 h0)) (- h1 h0))) (sqrt (/ (- (+ h1 h0)) (- h1 h0))) (- (- (+ h1 h0))) (- (- h1 h0)) (/ 0 (- h1 h0)) (/ (+ h1 h0) (- h1 h0)) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (- (+ h1 h0))) (cbrt (- h1 h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (sqrt (- h1 h0))) (/ (cbrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) 1) (/ (cbrt (- (+ h1 h0))) (- h1 h0)) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (- (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) 1) (/ (cbrt (- (+ h1 h0))) (- h1 h0)) (/ (sqrt (- (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (- (+ h1 h0))) (cbrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) 1) (/ (sqrt (- (+ h1 h0))) (- h1 h0)) (/ (sqrt (- (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (- (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (sqrt (- (+ h1 h0))) 1) (/ (sqrt (- (+ h1 h0))) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ -1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ -1 (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ -1 1) (/ (+ h1 h0) (- h1 h0)) (/ -1 (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ -1 1) (/ (+ h1 h0) (- h1 h0)) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (+ h1 h0)) (cbrt (- h1 h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (sqrt (- h1 h0))) (/ (cbrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) 1) (/ (cbrt (+ h1 h0)) (- h1 h0)) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) 1) (/ (cbrt (+ h1 h0)) (- h1 h0)) (/ (- (sqrt (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (+ h1 h0)) (cbrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) 1) (/ (sqrt (+ h1 h0)) (- h1 h0)) (/ (- (sqrt (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ (- (sqrt (+ h1 h0))) 1) (/ (sqrt (+ h1 h0)) (- h1 h0)) (/ (- 1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ (- 1) (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ (- 1) (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (cbrt (+ h1 h0))) (cbrt (- h1 h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (- (cbrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (/ (- (cbrt (+ h1 h0))) (- h1 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (- (cbrt (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (/ (- (cbrt (+ h1 h0))) (- h1 h0)) (/ (sqrt (+ h1 h0)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (sqrt (+ h1 h0))) (cbrt (- h1 h0))) (/ (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (+ h1 h0)) 1) (/ (- (sqrt (+ h1 h0))) (- h1 h0)) (/ (sqrt (+ h1 h0)) (+ (sqrt h1) (sqrt h0))) (/ (- (sqrt (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (sqrt (+ h1 h0)) 1) (/ (- (sqrt (+ h1 h0))) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (- h1 h0)) (/ (- h1 h0) (- (+ h1 h0))) (/ (+ h1 h0) (- h1 h0)) (/ (- (+ h1 h0)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (+ h1 h0)) 1) (/ (- (+ h1 h0)) (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) 1) (/ (- h1 h0) (cbrt (- (+ h1 h0)))) (/ (- h1 h0) (sqrt (- (+ h1 h0)))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (cbrt (+ h1 h0))) (/ (- h1 h0) (sqrt (+ h1 h0))) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (- (cbrt (+ h1 h0)))) (/ (- h1 h0) (- (sqrt (+ h1 h0)))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- (+ h1 h0)) (- (pow h1 3) (pow h0 3))) (/ (- (+ h1 h0)) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- h1 h0) (- h1 h0)) 1 -1 -1 1.699 * * * [progress]: adding candidates to table 1.989 * * [progress]: iteration 2 / 4 1.989 * * * [progress]: picking best candidate 1.993 * * * * [pick]: Picked # 1.993 * * * [progress]: localizing error 2.008 * * * [progress]: generating rewritten candidates 2.008 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 2.061 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.168 * * * [progress]: generating series expansions 2.168 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 2.168 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 2.168 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 2.168 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 2.168 * [taylor]: Taking taylor expansion of (- f n) in n 2.168 * [taylor]: Taking taylor expansion of f in n 2.168 * [backup-simplify]: Simplify f into f 2.168 * [taylor]: Taking taylor expansion of n in n 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 1 into 1 2.168 * [taylor]: Taking taylor expansion of (+ n f) in n 2.168 * [taylor]: Taking taylor expansion of n in n 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 1 into 1 2.168 * [taylor]: Taking taylor expansion of f in n 2.168 * [backup-simplify]: Simplify f into f 2.169 * [backup-simplify]: Simplify (- 0) into 0 2.169 * [backup-simplify]: Simplify (+ f 0) into f 2.169 * [backup-simplify]: Simplify (+ 0 f) into f 2.169 * [backup-simplify]: Simplify (/ f f) into 1 2.169 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 2.169 * [taylor]: Taking taylor expansion of (- f n) 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 * [taylor]: Taking taylor expansion of n in f 2.169 * [backup-simplify]: Simplify n into n 2.169 * [taylor]: Taking taylor expansion of (+ n f) in f 2.169 * [taylor]: Taking taylor expansion of n in f 2.169 * [backup-simplify]: Simplify n into n 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 (- n) into (- n) 2.169 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.169 * [backup-simplify]: Simplify (+ n 0) into n 2.169 * [backup-simplify]: Simplify (/ (- n) n) into -1 2.169 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 2.169 * [taylor]: Taking taylor expansion of (- f n) 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 * [taylor]: Taking taylor expansion of n in f 2.169 * [backup-simplify]: Simplify n into n 2.169 * [taylor]: Taking taylor expansion of (+ n f) in f 2.169 * [taylor]: Taking taylor expansion of n in f 2.170 * [backup-simplify]: Simplify n into n 2.170 * [taylor]: Taking taylor expansion of f in f 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 1 into 1 2.170 * [backup-simplify]: Simplify (- n) into (- n) 2.170 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.170 * [backup-simplify]: Simplify (+ n 0) into n 2.170 * [backup-simplify]: Simplify (/ (- n) n) 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 2.170 * [backup-simplify]: Simplify (- 0) into 0 2.170 * [backup-simplify]: Simplify (+ 1 0) into 1 2.171 * [backup-simplify]: Simplify (+ 0 1) into 1 2.171 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 2.171 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.171 * [taylor]: Taking taylor expansion of 2 in n 2.171 * [backup-simplify]: Simplify 2 into 2 2.171 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.171 * [taylor]: Taking taylor expansion of n in n 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (/ 1 1) into 1 2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.172 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify (- 0) into 0 2.173 * [backup-simplify]: Simplify (+ 0 0) into 0 2.173 * [backup-simplify]: Simplify (+ 0 0) into 0 2.173 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 2.173 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.173 * [taylor]: Taking taylor expansion of 2 in n 2.173 * [backup-simplify]: Simplify 2 into 2 2.173 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.173 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.173 * [taylor]: Taking taylor expansion of n in n 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.174 * [backup-simplify]: Simplify (* 1 1) into 1 2.174 * [backup-simplify]: Simplify (/ 1 1) into 1 2.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.176 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.177 * [backup-simplify]: Simplify (- 0) into 0 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.178 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify (- 0) into 0 2.178 * [backup-simplify]: Simplify (+ 0 0) into 0 2.178 * [backup-simplify]: Simplify (+ 0 0) into 0 2.179 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 2.179 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.179 * [taylor]: Taking taylor expansion of 2 in n 2.179 * [backup-simplify]: Simplify 2 into 2 2.179 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.179 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.179 * [taylor]: Taking taylor expansion of n in n 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [backup-simplify]: Simplify (* 1 1) into 1 2.179 * [backup-simplify]: Simplify (* 1 1) into 1 2.180 * [backup-simplify]: Simplify (/ 1 1) into 1 2.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.186 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify -1 into -1 2.186 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 2.186 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 2.186 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 2.186 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.186 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.186 * [taylor]: Taking taylor expansion of f in n 2.186 * [backup-simplify]: Simplify f into f 2.186 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.186 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.186 * [taylor]: Taking taylor expansion of n in n 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify 1 into 1 2.186 * [backup-simplify]: Simplify (/ 1 1) into 1 2.186 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.186 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.186 * [taylor]: Taking taylor expansion of f in n 2.186 * [backup-simplify]: Simplify f into f 2.186 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.186 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.186 * [taylor]: Taking taylor expansion of n in n 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify 1 into 1 2.187 * [backup-simplify]: Simplify (/ 1 1) into 1 2.187 * [backup-simplify]: Simplify (- 1) into -1 2.187 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.187 * [backup-simplify]: Simplify (+ 0 1) into 1 2.188 * [backup-simplify]: Simplify (/ -1 1) into -1 2.188 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 2.188 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.188 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.188 * [taylor]: Taking taylor expansion of f in f 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [backup-simplify]: Simplify (/ 1 1) into 1 2.188 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.188 * [taylor]: Taking taylor expansion of n in f 2.188 * [backup-simplify]: Simplify n into n 2.188 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.188 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.188 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.188 * [taylor]: Taking taylor expansion of f in f 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [backup-simplify]: Simplify (/ 1 1) into 1 2.189 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.189 * [taylor]: Taking taylor expansion of n in f 2.189 * [backup-simplify]: Simplify n into n 2.189 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.189 * [backup-simplify]: Simplify (+ 1 0) into 1 2.189 * [backup-simplify]: Simplify (+ 1 0) into 1 2.189 * [backup-simplify]: Simplify (/ 1 1) into 1 2.190 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 2.190 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.190 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.190 * [taylor]: Taking taylor expansion of f in f 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify 1 into 1 2.190 * [backup-simplify]: Simplify (/ 1 1) into 1 2.190 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.190 * [taylor]: Taking taylor expansion of n in f 2.190 * [backup-simplify]: Simplify n into n 2.190 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.190 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.190 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.190 * [taylor]: Taking taylor expansion of f in f 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) in f 2.191 * [taylor]: Taking taylor expansion of n in f 2.191 * [backup-simplify]: Simplify n into n 2.191 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.191 * [backup-simplify]: Simplify (+ 1 0) 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 in n 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.193 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.193 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.194 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.195 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 2.195 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.195 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.195 * [taylor]: Taking taylor expansion of 2 in n 2.195 * [backup-simplify]: Simplify 2 into 2 2.195 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.195 * [taylor]: Taking taylor expansion of n in n 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [backup-simplify]: Simplify (/ 1 1) into 1 2.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.197 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.197 * [backup-simplify]: Simplify (- 0) into 0 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.199 * [backup-simplify]: Simplify (- 0) into 0 2.199 * [backup-simplify]: Simplify (+ 0 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 2.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 2.202 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.202 * [taylor]: Taking taylor expansion of 2 in n 2.202 * [backup-simplify]: Simplify 2 into 2 2.202 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.202 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.202 * [taylor]: Taking taylor expansion of n in n 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.203 * [backup-simplify]: Simplify (* 1 1) into 1 2.203 * [backup-simplify]: Simplify (/ 1 1) into 1 2.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.207 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.207 * [backup-simplify]: Simplify 0 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 2.210 * [backup-simplify]: Simplify (- 0) into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.212 * [backup-simplify]: Simplify (- 0) into 0 2.212 * [backup-simplify]: Simplify (+ 0 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 2.215 * [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)))) 2.215 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.215 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.215 * [taylor]: Taking taylor expansion of 2 in n 2.215 * [backup-simplify]: Simplify 2 into 2 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.216 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.216 * [taylor]: Taking taylor expansion of n in n 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 1 into 1 2.216 * [backup-simplify]: Simplify (* 1 1) into 1 2.216 * [backup-simplify]: Simplify (* 1 1) into 1 2.217 * [backup-simplify]: Simplify (/ 1 1) into 1 2.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.221 * [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 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.226 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.226 * [backup-simplify]: Simplify (- 0) into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 1 into 1 2.227 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 2.227 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 2.227 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 2.227 * [taylor]: Taking taylor expansion of -1 in n 2.227 * [backup-simplify]: Simplify -1 into -1 2.227 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 2.227 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.227 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.227 * [taylor]: Taking taylor expansion of n in n 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 1 into 1 2.228 * [backup-simplify]: Simplify (/ 1 1) into 1 2.228 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.228 * [taylor]: Taking taylor expansion of f in n 2.228 * [backup-simplify]: Simplify f into f 2.228 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.228 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.228 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.228 * [taylor]: Taking taylor expansion of f in n 2.228 * [backup-simplify]: Simplify f into f 2.228 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.228 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.228 * [taylor]: Taking taylor expansion of n in n 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify 1 into 1 2.228 * [backup-simplify]: Simplify (/ 1 1) into 1 2.229 * [backup-simplify]: Simplify (+ 1 0) into 1 2.229 * [backup-simplify]: Simplify (+ 0 1) into 1 2.230 * [backup-simplify]: Simplify (/ 1 1) into 1 2.230 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 2.230 * [taylor]: Taking taylor expansion of -1 in f 2.230 * [backup-simplify]: Simplify -1 into -1 2.230 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 2.230 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.230 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.230 * [taylor]: Taking taylor expansion of n in f 2.230 * [backup-simplify]: Simplify n into n 2.230 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.230 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.230 * [taylor]: Taking taylor expansion of f in f 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.231 * [backup-simplify]: Simplify (/ 1 1) into 1 2.231 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.231 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.231 * [taylor]: Taking taylor expansion of f in f 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [backup-simplify]: Simplify (/ 1 1) into 1 2.231 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.231 * [taylor]: Taking taylor expansion of n in f 2.231 * [backup-simplify]: Simplify n into n 2.231 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.232 * [backup-simplify]: Simplify (- 1) into -1 2.232 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.233 * [backup-simplify]: Simplify (+ 1 0) into 1 2.233 * [backup-simplify]: Simplify (/ -1 1) into -1 2.233 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 2.233 * [taylor]: Taking taylor expansion of -1 in f 2.233 * [backup-simplify]: Simplify -1 into -1 2.233 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 2.233 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.233 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.233 * [taylor]: Taking taylor expansion of n in f 2.233 * [backup-simplify]: Simplify n into n 2.233 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.233 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.233 * [taylor]: Taking taylor expansion of f in f 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 1 into 1 2.234 * [backup-simplify]: Simplify (/ 1 1) into 1 2.234 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.234 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.234 * [taylor]: Taking taylor expansion of f in f 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 1 into 1 2.234 * [backup-simplify]: Simplify (/ 1 1) into 1 2.234 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.234 * [taylor]: Taking taylor expansion of n in f 2.234 * [backup-simplify]: Simplify n into n 2.235 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.235 * [backup-simplify]: Simplify (- 1) into -1 2.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.236 * [backup-simplify]: Simplify (+ 1 0) into 1 2.236 * [backup-simplify]: Simplify (/ -1 1) into -1 2.237 * [backup-simplify]: Simplify (* -1 -1) into 1 2.237 * [taylor]: Taking taylor expansion of 1 in n 2.237 * [backup-simplify]: Simplify 1 into 1 2.237 * [backup-simplify]: Simplify 1 into 1 2.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (- 0) into 0 2.238 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.239 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 2.240 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 2.240 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.240 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.240 * [taylor]: Taking taylor expansion of 2 in n 2.240 * [backup-simplify]: Simplify 2 into 2 2.240 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.240 * [taylor]: Taking taylor expansion of n in n 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 1 into 1 2.240 * [backup-simplify]: Simplify (/ 1 1) into 1 2.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.242 * [backup-simplify]: Simplify (- 0) into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.244 * [backup-simplify]: Simplify (- 0) into 0 2.244 * [backup-simplify]: Simplify (+ 0 0) into 0 2.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.246 * [backup-simplify]: Simplify (+ 0 0) into 0 2.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.248 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.248 * [taylor]: Taking taylor expansion of 2 in n 2.248 * [backup-simplify]: Simplify 2 into 2 2.248 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.248 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.248 * [taylor]: Taking taylor expansion of n in n 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 1 into 1 2.249 * [backup-simplify]: Simplify (* 1 1) into 1 2.249 * [backup-simplify]: Simplify (/ 1 1) into 1 2.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.254 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.256 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.257 * [backup-simplify]: Simplify (- 0) into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.258 * [backup-simplify]: Simplify (- 0) into 0 2.259 * [backup-simplify]: Simplify (+ 0 0) into 0 2.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.260 * [backup-simplify]: Simplify (+ 0 0) into 0 2.262 * [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))) 2.263 * [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)))) 2.263 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.263 * [taylor]: Taking taylor expansion of 2 in n 2.263 * [backup-simplify]: Simplify 2 into 2 2.263 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.263 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.263 * [taylor]: Taking taylor expansion of n in n 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.264 * [backup-simplify]: Simplify (* 1 1) into 1 2.264 * [backup-simplify]: Simplify (* 1 1) into 1 2.265 * [backup-simplify]: Simplify (/ 1 1) into 1 2.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.274 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.274 * [backup-simplify]: Simplify (- 0) into 0 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.275 * [backup-simplify]: Simplify (/ (- 1) (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 2.275 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.275 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.275 * [taylor]: Taking taylor expansion of -1 in n 2.275 * [backup-simplify]: Simplify -1 into -1 2.275 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.275 * [taylor]: Taking taylor expansion of (+ n f) in n 2.275 * [taylor]: Taking taylor expansion of n in n 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [taylor]: Taking taylor expansion of f in n 2.275 * [backup-simplify]: Simplify f into f 2.275 * [taylor]: Taking taylor expansion of (- f n) in n 2.275 * [taylor]: Taking taylor expansion of f in n 2.275 * [backup-simplify]: Simplify f into f 2.275 * [taylor]: Taking taylor expansion of n in n 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [backup-simplify]: Simplify (+ 0 f) into f 2.283 * [backup-simplify]: Simplify (- 0) into 0 2.283 * [backup-simplify]: Simplify (+ f 0) into f 2.283 * [backup-simplify]: Simplify (/ f f) into 1 2.283 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.283 * [taylor]: Taking taylor expansion of -1 in f 2.283 * [backup-simplify]: Simplify -1 into -1 2.283 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.283 * [taylor]: Taking taylor expansion of (+ n f) in f 2.283 * [taylor]: Taking taylor expansion of n in f 2.283 * [backup-simplify]: Simplify n into n 2.283 * [taylor]: Taking taylor expansion of f in f 2.283 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify 1 into 1 2.283 * [taylor]: Taking taylor expansion of (- f n) in f 2.283 * [taylor]: Taking taylor expansion of f in f 2.283 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify 1 into 1 2.283 * [taylor]: Taking taylor expansion of n in f 2.284 * [backup-simplify]: Simplify n into n 2.284 * [backup-simplify]: Simplify (+ n 0) into n 2.284 * [backup-simplify]: Simplify (- n) into (- n) 2.284 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.284 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.284 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.284 * [taylor]: Taking taylor expansion of -1 in f 2.284 * [backup-simplify]: Simplify -1 into -1 2.284 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.284 * [taylor]: Taking taylor expansion of (+ n f) in f 2.284 * [taylor]: Taking taylor expansion of n in f 2.284 * [backup-simplify]: Simplify n into n 2.284 * [taylor]: Taking taylor expansion of f in f 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 1 into 1 2.284 * [taylor]: Taking taylor expansion of (- f n) in f 2.284 * [taylor]: Taking taylor expansion of f in f 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 1 into 1 2.284 * [taylor]: Taking taylor expansion of n in f 2.284 * [backup-simplify]: Simplify n into n 2.284 * [backup-simplify]: Simplify (+ n 0) into n 2.284 * [backup-simplify]: Simplify (- n) into (- n) 2.284 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.285 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.285 * [backup-simplify]: Simplify (* -1 -1) into 1 2.285 * [taylor]: Taking taylor expansion of 1 in n 2.285 * [backup-simplify]: Simplify 1 into 1 2.285 * [backup-simplify]: Simplify 1 into 1 2.286 * [backup-simplify]: Simplify (+ 0 1) into 1 2.286 * [backup-simplify]: Simplify (- 0) into 0 2.287 * [backup-simplify]: Simplify (+ 1 0) into 1 2.287 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.288 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.288 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.288 * [taylor]: Taking taylor expansion of 2 in n 2.288 * [backup-simplify]: Simplify 2 into 2 2.288 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.288 * [taylor]: Taking taylor expansion of n in n 2.288 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify 1 into 1 2.288 * [backup-simplify]: Simplify (/ 1 1) into 1 2.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.290 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify (+ 0 0) into 0 2.291 * [backup-simplify]: Simplify (- 0) into 0 2.291 * [backup-simplify]: Simplify (+ 0 0) into 0 2.291 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.292 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.292 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.292 * [taylor]: Taking taylor expansion of 2 in n 2.292 * [backup-simplify]: Simplify 2 into 2 2.292 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.292 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.292 * [taylor]: Taking taylor expansion of n in n 2.292 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (* 1 1) into 1 2.293 * [backup-simplify]: Simplify (/ 1 1) into 1 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.298 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.300 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify (+ 0 0) into 0 2.300 * [backup-simplify]: Simplify (- 0) into 0 2.301 * [backup-simplify]: Simplify (+ 0 0) into 0 2.302 * [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)))) 2.303 * [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))) 2.303 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) 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 (/ 1 (pow n 3)) in n 2.303 * [taylor]: Taking taylor expansion of (pow n 3) in n 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 2.303 * [backup-simplify]: Simplify (* 1 1) into 1 2.304 * [backup-simplify]: Simplify (* 1 1) into 1 2.304 * [backup-simplify]: Simplify (/ 1 1) into 1 2.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.313 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify 1 into 1 2.314 * [backup-simplify]: Simplify (/ (- 1) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.314 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.314 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.314 * [taylor]: Taking taylor expansion of -1 in n 2.314 * [backup-simplify]: Simplify -1 into -1 2.314 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.314 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.314 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.314 * [taylor]: Taking taylor expansion of f in n 2.314 * [backup-simplify]: Simplify f into f 2.314 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.314 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.314 * [taylor]: Taking taylor expansion of n in n 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 1 into 1 2.315 * [backup-simplify]: Simplify (/ 1 1) into 1 2.315 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.315 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.315 * [taylor]: Taking taylor expansion of f in n 2.315 * [backup-simplify]: Simplify f into f 2.315 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.315 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.315 * [taylor]: Taking taylor expansion of n in n 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.315 * [backup-simplify]: Simplify (/ 1 1) into 1 2.316 * [backup-simplify]: Simplify (+ 0 1) into 1 2.316 * [backup-simplify]: Simplify (- 1) into -1 2.317 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.317 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.318 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.318 * [taylor]: Taking taylor expansion of -1 in f 2.318 * [backup-simplify]: Simplify -1 into -1 2.318 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.318 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.318 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.318 * [taylor]: Taking taylor expansion of f in f 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (/ 1 1) into 1 2.318 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.318 * [taylor]: Taking taylor expansion of n in f 2.318 * [backup-simplify]: Simplify n into n 2.318 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.318 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.318 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.318 * [taylor]: Taking taylor expansion of f in f 2.318 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 1 into 1 2.319 * [backup-simplify]: Simplify (/ 1 1) into 1 2.319 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.319 * [taylor]: Taking taylor expansion of n in f 2.319 * [backup-simplify]: Simplify n into n 2.319 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.320 * [backup-simplify]: Simplify (+ 1 0) into 1 2.320 * [backup-simplify]: Simplify (+ 1 0) into 1 2.320 * [backup-simplify]: Simplify (/ 1 1) into 1 2.320 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.320 * [taylor]: Taking taylor expansion of -1 in f 2.320 * [backup-simplify]: Simplify -1 into -1 2.320 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.321 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.321 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.321 * [taylor]: Taking taylor expansion of f in f 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 1 into 1 2.321 * [backup-simplify]: Simplify (/ 1 1) into 1 2.321 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.321 * [taylor]: Taking taylor expansion of n in f 2.321 * [backup-simplify]: Simplify n into n 2.321 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.321 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.321 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.321 * [taylor]: Taking taylor expansion of f in f 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 1 into 1 2.322 * [backup-simplify]: Simplify (/ 1 1) into 1 2.322 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.322 * [taylor]: Taking taylor expansion of n in f 2.322 * [backup-simplify]: Simplify n into n 2.322 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.322 * [backup-simplify]: Simplify (+ 1 0) into 1 2.323 * [backup-simplify]: Simplify (+ 1 0) into 1 2.323 * [backup-simplify]: Simplify (/ 1 1) into 1 2.324 * [backup-simplify]: Simplify (* -1 1) into -1 2.324 * [taylor]: Taking taylor expansion of -1 in n 2.324 * [backup-simplify]: Simplify -1 into -1 2.324 * [backup-simplify]: Simplify -1 into -1 2.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.325 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.326 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.326 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.327 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.327 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.327 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.327 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.327 * [taylor]: Taking taylor expansion of 2 in n 2.327 * [backup-simplify]: Simplify 2 into 2 2.327 * [taylor]: Taking taylor expansion of (/ 1 n) 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 2.328 * [backup-simplify]: Simplify (/ 1 1) into 1 2.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.329 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.329 * [backup-simplify]: Simplify (- 0) into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.331 * [backup-simplify]: Simplify (+ 0 0) into 0 2.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.332 * [backup-simplify]: Simplify (- 0) into 0 2.333 * [backup-simplify]: Simplify (+ 0 0) into 0 2.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.335 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.335 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.335 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.335 * [taylor]: Taking taylor expansion of 2 in n 2.335 * [backup-simplify]: Simplify 2 into 2 2.335 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.335 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.335 * [taylor]: Taking taylor expansion of n in n 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify 1 into 1 2.335 * [backup-simplify]: Simplify (* 1 1) into 1 2.336 * [backup-simplify]: Simplify (/ 1 1) into 1 2.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.341 * [backup-simplify]: Simplify (- 0) into 0 2.341 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.342 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.343 * [backup-simplify]: Simplify (- 0) into 0 2.343 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.344 * [backup-simplify]: Simplify (+ 0 0) into 0 2.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.346 * [backup-simplify]: Simplify (- 0) into 0 2.346 * [backup-simplify]: Simplify (+ 0 0) into 0 2.348 * [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))) 2.348 * [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)))) 2.348 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.349 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.349 * [taylor]: Taking taylor expansion of 2 in n 2.349 * [backup-simplify]: Simplify 2 into 2 2.349 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.349 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.349 * [taylor]: Taking taylor expansion of n in n 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify 1 into 1 2.349 * [backup-simplify]: Simplify (* 1 1) into 1 2.349 * [backup-simplify]: Simplify (* 1 1) into 1 2.350 * [backup-simplify]: Simplify (/ 1 1) into 1 2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.358 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.358 * [backup-simplify]: Simplify (- 0) into 0 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify -1 into -1 2.359 * [backup-simplify]: Simplify (/ (- 1) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.359 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.359 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.359 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.359 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.359 * [taylor]: Taking taylor expansion of f in n 2.359 * [backup-simplify]: Simplify f into f 2.359 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 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 2.360 * [backup-simplify]: Simplify (/ 1 1) into 1 2.360 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.360 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.360 * [taylor]: Taking taylor expansion of n in n 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [backup-simplify]: Simplify (/ 1 1) into 1 2.360 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.360 * [taylor]: Taking taylor expansion of f in n 2.360 * [backup-simplify]: Simplify f into f 2.360 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.361 * [backup-simplify]: Simplify (+ 0 1) into 1 2.361 * [backup-simplify]: Simplify (+ 1 0) into 1 2.361 * [backup-simplify]: Simplify (/ 1 1) into 1 2.362 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.362 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.362 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.362 * [taylor]: Taking taylor expansion of f in f 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 1 into 1 2.362 * [backup-simplify]: Simplify (/ 1 1) into 1 2.362 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.362 * [taylor]: Taking taylor expansion of n in f 2.362 * [backup-simplify]: Simplify n into n 2.362 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.362 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.362 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.362 * [taylor]: Taking taylor expansion of n in f 2.362 * [backup-simplify]: Simplify n into n 2.362 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.362 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.362 * [taylor]: Taking taylor expansion of f in f 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 0) into 1 2.364 * [backup-simplify]: Simplify (- 1) into -1 2.364 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.365 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.365 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.365 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.365 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.365 * [taylor]: Taking taylor expansion of f in f 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 1 into 1 2.365 * [backup-simplify]: Simplify (/ 1 1) into 1 2.365 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.365 * [taylor]: Taking taylor expansion of n in f 2.365 * [backup-simplify]: Simplify n into n 2.365 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.365 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.365 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.365 * [taylor]: Taking taylor expansion of n in f 2.365 * [backup-simplify]: Simplify n into n 2.365 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.365 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.366 * [taylor]: Taking taylor expansion of f in f 2.366 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify 1 into 1 2.366 * [backup-simplify]: Simplify (/ 1 1) into 1 2.366 * [backup-simplify]: Simplify (+ 1 0) into 1 2.367 * [backup-simplify]: Simplify (- 1) into -1 2.367 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.367 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.368 * [taylor]: Taking taylor expansion of -1 in n 2.368 * [backup-simplify]: Simplify -1 into -1 2.368 * [backup-simplify]: Simplify -1 into -1 2.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.369 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.370 * [backup-simplify]: Simplify (- 0) into 0 2.370 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.370 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.370 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.370 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.370 * [taylor]: Taking taylor expansion of 2 in n 2.370 * [backup-simplify]: Simplify 2 into 2 2.370 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.370 * [taylor]: Taking taylor expansion of n in n 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify 1 into 1 2.370 * [backup-simplify]: Simplify (/ 1 1) into 1 2.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.372 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.372 * [backup-simplify]: Simplify (- 0) into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.374 * [backup-simplify]: Simplify (+ 0 0) into 0 2.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.375 * [backup-simplify]: Simplify (- 0) into 0 2.375 * [backup-simplify]: Simplify (+ 0 0) into 0 2.377 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.377 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.377 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.377 * [taylor]: Taking taylor expansion of 2 in n 2.377 * [backup-simplify]: Simplify 2 into 2 2.377 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.377 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.377 * [taylor]: Taking taylor expansion of n in n 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.378 * [backup-simplify]: Simplify (* 1 1) into 1 2.378 * [backup-simplify]: Simplify (/ 1 1) into 1 2.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.382 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.382 * [backup-simplify]: Simplify (- 0) into 0 2.382 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.385 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.385 * [backup-simplify]: Simplify (- 0) into 0 2.385 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.387 * [backup-simplify]: Simplify (+ 0 0) into 0 2.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.388 * [backup-simplify]: Simplify (- 0) into 0 2.388 * [backup-simplify]: Simplify (+ 0 0) into 0 2.390 * [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)))) 2.390 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.390 * [taylor]: Taking taylor expansion of 2 in n 2.390 * [backup-simplify]: Simplify 2 into 2 2.390 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.390 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.390 * [taylor]: Taking taylor expansion of n in n 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 1 into 1 2.391 * [backup-simplify]: Simplify (* 1 1) into 1 2.391 * [backup-simplify]: Simplify (* 1 1) into 1 2.391 * [backup-simplify]: Simplify (/ 1 1) into 1 2.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.400 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.400 * [backup-simplify]: Simplify (- 0) into 0 2.400 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify -1 into -1 2.401 * * * [progress]: simplifying candidates 2.412 * [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) 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(cbrt 1)) (/ (sqrt (- h1 h0)) 1)) (/ (- (cbrt 1)) (/ (sqrt (- h1 h0)) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- h1 h0)) 1)) (/ (- (cbrt 1)) (/ (sqrt (- h1 h0)) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (cbrt 1)) (/ (- h1 h0) (cbrt (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (+ h1 h0)))) (/ (- (cbrt 1)) (/ (- h1 h0) (sqrt (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (- (cbrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (- (cbrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (sqrt h1) (sqrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (cbrt 1)) (/ (- (sqrt h1) (sqrt h0)) (cbrt (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ (- (cbrt 1)) (/ (- (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- (cbrt 1)) (/ (- (sqrt h1) (sqrt h0)) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- (cbrt 1)) (/ (- (sqrt h1) (sqrt h0)) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (cbrt 1)) (/ (- h1 h0) (cbrt (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (+ h1 h0)))) (/ (- (cbrt 1)) (/ (- h1 h0) (sqrt (+ h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (- (cbrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (- (cbrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (- (cbrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (- h1 h0)) (/ (- (cbrt 1)) (/ 1 (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (/ (- h1 h0) (+ (pow h1 3) (pow h0 3)))) (/ (- (cbrt 1)) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (- h1 h0) (- (* h1 h1) (* h0 h0)))) (/ (- (cbrt 1)) (- h1 h0)) (/ (sqrt 1) (* (cbrt (/ (- h1 h0) (+ h1 h0))) (cbrt (/ (- h1 h0) (+ h1 h0))))) (/ (- (sqrt 1)) (cbrt (/ (- h1 h0) (+ h1 h0)))) (/ (sqrt 1) (sqrt (/ (- h1 h0) (+ h1 h0)))) (/ (- (sqrt 1)) (sqrt (/ (- h1 h0) (+ h1 h0)))) (/ (sqrt 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (sqrt 1)) (/ (cbrt (- h1 h0)) (cbrt (+ h1 h0)))) (/ (sqrt 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (sqrt (+ h1 h0)))) (/ (- (sqrt 1)) (/ (cbrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ (- (sqrt 1)) (/ (cbrt (- h1 h0)) (+ h1 h0))) (/ (sqrt 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ (- (sqrt 1)) (/ (cbrt (- h1 h0)) (+ h1 h0))) (/ (sqrt 1) (/ (sqrt (- h1 h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (sqrt 1)) (/ (sqrt (- h1 h0)) (cbrt (+ h1 h0)))) (/ (sqrt 1) (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ (- (sqrt 1)) (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ (sqrt (- h1 h0)) 1)) (/ (- (sqrt 1)) (/ (sqrt (- h1 h0)) (+ h1 h0))) (/ (sqrt 1) (/ (sqrt (- h1 h0)) 1)) (/ (- (sqrt 1)) (/ (sqrt (- h1 h0)) (+ h1 h0))) (/ (sqrt 1) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (sqrt 1)) (/ (- h1 h0) (cbrt (+ h1 h0)))) (/ (sqrt 1) (/ 1 (sqrt (+ h1 h0)))) (/ (- (sqrt 1)) (/ (- h1 h0) (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ 1 1)) (/ (- (sqrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (sqrt 1) (/ 1 1)) (/ (- (sqrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (sqrt 1) (/ (+ (sqrt h1) (sqrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (sqrt 1)) (/ (- (sqrt h1) (sqrt h0)) (cbrt (+ h1 h0)))) (/ (sqrt 1) (/ (+ (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ (- (sqrt 1)) (/ (- (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- (sqrt 1)) (/ (- (sqrt h1) (sqrt h0)) (+ h1 h0))) (/ (sqrt 1) (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- (sqrt 1)) (/ (- (sqrt h1) (sqrt h0)) (+ h1 h0))) (/ (sqrt 1) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- (sqrt 1)) (/ (- h1 h0) (cbrt (+ h1 h0)))) (/ (sqrt 1) (/ 1 (sqrt (+ h1 h0)))) (/ (- (sqrt 1)) (/ (- h1 h0) (sqrt (+ h1 h0)))) (/ (sqrt 1) (/ 1 1)) (/ (- (sqrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (sqrt 1) (/ 1 1)) (/ (- (sqrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (sqrt 1) 1) (/ (- (sqrt 1)) (/ (- h1 h0) (+ h1 h0))) (/ (sqrt 1) (- h1 h0)) (/ (- (sqrt 1)) (/ 1 (+ h1 h0))) (/ (sqrt 1) (/ (- h1 h0) (+ (pow h1 3) (pow h0 3)))) (/ (- (sqrt 1)) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (/ (sqrt 1) (/ (- h1 h0) (- (* h1 h1) (* h0 h0)))) (/ (- (sqrt 1)) (- h1 h0)) (/ 1 (* (cbrt (/ (- h1 h0) (+ h1 h0))) (cbrt (/ (- h1 h0) (+ h1 h0))))) (/ (- 1) (cbrt (/ (- h1 h0) (+ h1 h0)))) (/ 1 (sqrt (/ (- h1 h0) (+ h1 h0)))) (/ (- 1) (sqrt (/ (- h1 h0) (+ h1 h0)))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (cbrt (- h1 h0)) (cbrt (+ h1 h0)))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (sqrt (+ h1 h0)))) (/ (- 1) (/ (cbrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ (- 1) (/ (cbrt (- h1 h0)) (+ h1 h0))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ (- 1) (/ (cbrt (- h1 h0)) (+ h1 h0))) (/ 1 (/ (sqrt (- h1 h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (sqrt (- h1 h0)) (cbrt (+ h1 h0)))) (/ 1 (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ (- 1) (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ 1 (/ (sqrt (- h1 h0)) 1)) (/ (- 1) (/ (sqrt (- h1 h0)) (+ h1 h0))) (/ 1 (/ (sqrt (- h1 h0)) 1)) (/ (- 1) (/ (sqrt (- h1 h0)) (+ h1 h0))) (/ 1 (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (- h1 h0) (cbrt (+ h1 h0)))) (/ 1 (/ 1 (sqrt (+ h1 h0)))) (/ (- 1) (/ (- h1 h0) (sqrt (+ h1 h0)))) (/ 1 (/ 1 1)) (/ (- 1) (/ (- h1 h0) (+ h1 h0))) (/ 1 (/ 1 1)) (/ (- 1) (/ (- h1 h0) (+ h1 h0))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (- (sqrt h1) (sqrt h0)) (cbrt (+ h1 h0)))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ (- 1) (/ (- (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- 1) (/ (- (sqrt h1) (sqrt h0)) (+ h1 h0))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- 1) (/ (- (sqrt h1) (sqrt h0)) (+ h1 h0))) (/ 1 (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (- h1 h0) (cbrt (+ h1 h0)))) (/ 1 (/ 1 (sqrt (+ h1 h0)))) (/ (- 1) (/ (- h1 h0) (sqrt (+ h1 h0)))) (/ 1 (/ 1 1)) (/ (- 1) (/ (- h1 h0) (+ h1 h0))) (/ 1 (/ 1 1)) (/ (- 1) (/ (- h1 h0) (+ h1 h0))) (/ 1 1) (/ (- 1) (/ (- h1 h0) (+ h1 h0))) (/ 1 (- h1 h0)) (/ (- 1) (/ 1 (+ h1 h0))) (/ 1 (/ (- h1 h0) (+ (pow h1 3) (pow h0 3)))) (/ (- 1) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (/ 1 (/ (- h1 h0) (- (* h1 h1) (* h0 h0)))) (/ (- 1) (- h1 h0)) (/ 1 (/ (- h1 h0) (+ h1 h0))) (/ (/ (- h1 h0) (+ h1 h0)) (- 1)) (/ 1 (/ (- h1 h0) (+ h1 h0))) (/ (- 1) (* (cbrt (/ (- h1 h0) (+ h1 h0))) (cbrt (/ (- h1 h0) (+ h1 h0))))) (/ (- 1) (sqrt (/ (- h1 h0) (+ h1 h0)))) (/ (- 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (sqrt (+ h1 h0)))) (/ (- 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ (- 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ (- 1) (/ (sqrt (- h1 h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ (- 1) (/ (sqrt (- h1 h0)) 1)) (/ (- 1) (/ (sqrt (- h1 h0)) 1)) (/ (- 1) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ 1 (sqrt (+ h1 h0)))) (/ (- 1) (/ 1 1)) (/ (- 1) (/ 1 1)) (/ (- 1) (/ (+ (sqrt h1) (sqrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (+ (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ (- 1) (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- 1) (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- 1) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ 1 (sqrt (+ h1 h0)))) (/ (- 1) (/ 1 1)) (/ (- 1) (/ 1 1)) (/ (- 1) 1) (/ (- 1) (- h1 h0)) (/ (- 1) (/ (- h1 h0) (+ (pow h1 3) (pow h0 3)))) (/ (- 1) (/ (- h1 h0) (- (* h1 h1) (* h0 h0)))) (/ (/ (- h1 h0) (+ h1 h0)) (cbrt (- 1))) (/ (/ (- h1 h0) (+ h1 h0)) (sqrt (- 1))) (/ (/ (- h1 h0) (+ h1 h0)) (- 1)) (/ (/ (- h1 h0) (+ h1 h0)) 1) (/ (/ (- h1 h0) (+ h1 h0)) (cbrt 1)) (/ (/ (- h1 h0) (+ h1 h0)) (sqrt 1)) (/ (/ (- h1 h0) (+ h1 h0)) 1) (/ (/ (- h1 h0) (+ h1 h0)) (- (cbrt 1))) (/ (/ (- h1 h0) (+ h1 h0)) (- (sqrt 1))) (/ (/ (- h1 h0) (+ h1 h0)) (- 1)) (/ (- 1) (- h1 h0)) -1 1 1 1 -1 -1 3.142 * * * [progress]: adding candidates to table 4.007 * * [progress]: iteration 3 / 4 4.007 * * * [progress]: picking best candidate 4.008 * * * * [pick]: Picked # 4.008 * * * [progress]: localizing error 4.021 * * * [progress]: generating rewritten candidates 4.021 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 4.054 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 4.138 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 4.214 * * * [progress]: generating series expansions 4.214 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 4.214 * [backup-simplify]: Simplify (/ -1 (- f n)) into (/ -1 (- f n)) 4.214 * [approximate]: Taking taylor expansion of (/ -1 (- f n)) in (f n) around 0 4.214 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in n 4.214 * [taylor]: Taking taylor expansion of -1 in n 4.214 * [backup-simplify]: Simplify -1 into -1 4.214 * [taylor]: Taking taylor expansion of (- f n) in n 4.214 * [taylor]: Taking taylor expansion of f in n 4.214 * [backup-simplify]: Simplify f into f 4.214 * [taylor]: Taking taylor expansion of n in n 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 1 into 1 4.215 * [backup-simplify]: Simplify (- 0) into 0 4.215 * [backup-simplify]: Simplify (+ f 0) into f 4.215 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 4.215 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 4.215 * [taylor]: Taking taylor expansion of -1 in f 4.215 * [backup-simplify]: Simplify -1 into -1 4.215 * [taylor]: Taking taylor expansion of (- f n) in f 4.215 * [taylor]: Taking taylor expansion of f in f 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 1 into 1 4.215 * [taylor]: Taking taylor expansion of n in f 4.215 * [backup-simplify]: Simplify n into n 4.215 * [backup-simplify]: Simplify (- n) into (- n) 4.215 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.215 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 4.215 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 4.215 * [taylor]: Taking taylor expansion of -1 in f 4.215 * [backup-simplify]: Simplify -1 into -1 4.215 * [taylor]: Taking taylor expansion of (- f n) in f 4.215 * [taylor]: Taking taylor expansion of f in f 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 1 into 1 4.215 * [taylor]: Taking taylor expansion of n in f 4.215 * [backup-simplify]: Simplify n into n 4.215 * [backup-simplify]: Simplify (- n) into (- n) 4.215 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.215 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 4.215 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.215 * [taylor]: Taking taylor expansion of n in n 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 1 into 1 4.216 * [backup-simplify]: Simplify (/ 1 1) into 1 4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify (- 0) into 0 4.217 * [backup-simplify]: Simplify (+ 1 0) into 1 4.217 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 1 (- n))))) into (/ 1 (pow n 2)) 4.217 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.217 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.217 * [taylor]: Taking taylor expansion of n in n 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 1 into 1 4.217 * [backup-simplify]: Simplify (* 1 1) into 1 4.217 * [backup-simplify]: Simplify (/ 1 1) into 1 4.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.219 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify (- 0) into 0 4.220 * [backup-simplify]: Simplify (+ 0 0) into 0 4.220 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 0 (- n))) (* (/ 1 (pow n 2)) (/ 1 (- n))))) into (/ 1 (pow n 3)) 4.220 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.220 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.220 * [taylor]: Taking taylor expansion of n in n 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.221 * [backup-simplify]: Simplify (* 1 1) into 1 4.221 * [backup-simplify]: Simplify (* 1 1) into 1 4.221 * [backup-simplify]: Simplify (/ 1 1) into 1 4.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.226 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify (/ -1 (- (/ 1 f) (/ 1 n))) into (/ -1 (- (/ 1 f) (/ 1 n))) 4.229 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 4.229 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in n 4.229 * [taylor]: Taking taylor expansion of -1 in n 4.229 * [backup-simplify]: Simplify -1 into -1 4.229 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.229 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.229 * [taylor]: Taking taylor expansion of f in n 4.229 * [backup-simplify]: Simplify f into f 4.229 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.229 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.229 * [taylor]: Taking taylor expansion of n in n 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 1 into 1 4.230 * [backup-simplify]: Simplify (/ 1 1) into 1 4.230 * [backup-simplify]: Simplify (- 1) into -1 4.230 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.231 * [backup-simplify]: Simplify (/ -1 -1) into 1 4.231 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 4.231 * [taylor]: Taking taylor expansion of -1 in f 4.231 * [backup-simplify]: Simplify -1 into -1 4.231 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.231 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.231 * [taylor]: Taking taylor expansion of f in f 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.231 * [backup-simplify]: Simplify (/ 1 1) into 1 4.231 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.231 * [taylor]: Taking taylor expansion of n in f 4.231 * [backup-simplify]: Simplify n into n 4.231 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.232 * [backup-simplify]: Simplify (+ 1 0) into 1 4.232 * [backup-simplify]: Simplify (/ -1 1) into -1 4.232 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 4.232 * [taylor]: Taking taylor expansion of -1 in f 4.232 * [backup-simplify]: Simplify -1 into -1 4.232 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.233 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.233 * [taylor]: Taking taylor expansion of f in f 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify 1 into 1 4.233 * [backup-simplify]: Simplify (/ 1 1) into 1 4.233 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.233 * [taylor]: Taking taylor expansion of n in f 4.233 * [backup-simplify]: Simplify n into n 4.233 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.234 * [backup-simplify]: Simplify (+ 1 0) into 1 4.234 * [backup-simplify]: Simplify (/ -1 1) into -1 4.234 * [taylor]: Taking taylor expansion of -1 in n 4.234 * [backup-simplify]: Simplify -1 into -1 4.234 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.235 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.235 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (/ 1 n)) 4.236 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 4.236 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.236 * [taylor]: Taking taylor expansion of n in n 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify 1 into 1 4.236 * [backup-simplify]: Simplify (/ 1 1) into 1 4.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.238 * [backup-simplify]: Simplify (- 0) into 0 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.240 * [backup-simplify]: Simplify (- 0) into 0 4.240 * [backup-simplify]: Simplify (+ 0 0) into 0 4.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (- (/ 1 (pow n 2))) 4.241 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 4.241 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.241 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.241 * [taylor]: Taking taylor expansion of n in n 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 1 into 1 4.242 * [backup-simplify]: Simplify (* 1 1) into 1 4.242 * [backup-simplify]: Simplify (/ 1 1) into 1 4.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.245 * [backup-simplify]: Simplify (- 0) into 0 4.245 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.246 * [backup-simplify]: Simplify (- 0) into 0 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (- (/ 1 n) (/ 1 f))) 4.246 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.246 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in n 4.246 * [taylor]: Taking taylor expansion of -1 in n 4.246 * [backup-simplify]: Simplify -1 into -1 4.246 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.246 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.246 * [taylor]: Taking taylor expansion of n in n 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify 1 into 1 4.246 * [backup-simplify]: Simplify (/ 1 1) into 1 4.246 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.246 * [taylor]: Taking taylor expansion of f in n 4.247 * [backup-simplify]: Simplify f into f 4.247 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.247 * [backup-simplify]: Simplify (+ 1 0) into 1 4.247 * [backup-simplify]: Simplify (/ -1 1) into -1 4.247 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 4.247 * [taylor]: Taking taylor expansion of -1 in f 4.247 * [backup-simplify]: Simplify -1 into -1 4.247 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.247 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.247 * [taylor]: Taking taylor expansion of n in f 4.247 * [backup-simplify]: Simplify n into n 4.247 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.247 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.247 * [taylor]: Taking taylor expansion of f in f 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 1 into 1 4.248 * [backup-simplify]: Simplify (/ 1 1) into 1 4.248 * [backup-simplify]: Simplify (- 1) into -1 4.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.248 * [backup-simplify]: Simplify (/ -1 -1) into 1 4.248 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 4.248 * [taylor]: Taking taylor expansion of -1 in f 4.248 * [backup-simplify]: Simplify -1 into -1 4.248 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.248 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.248 * [taylor]: Taking taylor expansion of n in f 4.248 * [backup-simplify]: Simplify n into n 4.248 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.248 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.248 * [taylor]: Taking taylor expansion of f in f 4.248 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 1 into 1 4.249 * [backup-simplify]: Simplify (/ 1 1) into 1 4.249 * [backup-simplify]: Simplify (- 1) into -1 4.249 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.249 * [backup-simplify]: Simplify (/ -1 -1) into 1 4.250 * [taylor]: Taking taylor expansion of 1 in n 4.250 * [backup-simplify]: Simplify 1 into 1 4.250 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (- 0) into 0 4.258 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.258 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 n) -1)))) into (/ 1 n) 4.258 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.258 * [taylor]: Taking taylor expansion of n in n 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 1 into 1 4.259 * [backup-simplify]: Simplify (/ 1 1) into 1 4.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.261 * [backup-simplify]: Simplify (- 0) into 0 4.261 * [backup-simplify]: Simplify (+ 0 0) into 0 4.261 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (/ 1 n) (/ (/ 1 n) -1)))) into (/ 1 (pow n 2)) 4.262 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.262 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.262 * [taylor]: Taking taylor expansion of n in n 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify 1 into 1 4.262 * [backup-simplify]: Simplify (* 1 1) into 1 4.262 * [backup-simplify]: Simplify (/ 1 1) into 1 4.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * * * * [progress]: [ 2 / 3 ] generating series at (2) 4.266 * [backup-simplify]: Simplify (/ (/ -1 (- f n)) (/ 1 (+ f n))) into (* -1 (/ (+ n f) (- f n))) 4.266 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.266 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.266 * [taylor]: Taking taylor expansion of -1 in n 4.266 * [backup-simplify]: Simplify -1 into -1 4.266 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.266 * [taylor]: Taking taylor expansion of (+ n f) in n 4.266 * [taylor]: Taking taylor expansion of n in n 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 1 into 1 4.266 * [taylor]: Taking taylor expansion of f in n 4.266 * [backup-simplify]: Simplify f into f 4.266 * [taylor]: Taking taylor expansion of (- f n) in n 4.266 * [taylor]: Taking taylor expansion of f in n 4.266 * [backup-simplify]: Simplify f into f 4.266 * [taylor]: Taking taylor expansion of n in n 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 1 into 1 4.266 * [backup-simplify]: Simplify (+ 0 f) into f 4.266 * [backup-simplify]: Simplify (- 0) into 0 4.266 * [backup-simplify]: Simplify (+ f 0) into f 4.266 * [backup-simplify]: Simplify (/ f f) into 1 4.266 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.266 * [taylor]: Taking taylor expansion of -1 in f 4.266 * [backup-simplify]: Simplify -1 into -1 4.266 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.266 * [taylor]: Taking taylor expansion of (+ n f) in f 4.267 * [taylor]: Taking taylor expansion of n in f 4.267 * [backup-simplify]: Simplify n into n 4.267 * [taylor]: Taking taylor expansion of f in f 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 1 into 1 4.267 * [taylor]: Taking taylor expansion of (- f n) in f 4.267 * [taylor]: Taking taylor expansion of f in f 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 1 into 1 4.267 * [taylor]: Taking taylor expansion of n in f 4.267 * [backup-simplify]: Simplify n into n 4.267 * [backup-simplify]: Simplify (+ n 0) into n 4.267 * [backup-simplify]: Simplify (- n) into (- n) 4.267 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.267 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.267 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.267 * [taylor]: Taking taylor expansion of -1 in f 4.267 * [backup-simplify]: Simplify -1 into -1 4.267 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.267 * [taylor]: Taking taylor expansion of (+ n f) in f 4.267 * [taylor]: Taking taylor expansion of n in f 4.267 * [backup-simplify]: Simplify n into n 4.267 * [taylor]: Taking taylor expansion of f in f 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 1 into 1 4.267 * [taylor]: Taking taylor expansion of (- f n) in f 4.267 * [taylor]: Taking taylor expansion of f in f 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 1 into 1 4.267 * [taylor]: Taking taylor expansion of n in f 4.267 * [backup-simplify]: Simplify n into n 4.267 * [backup-simplify]: Simplify (+ n 0) into n 4.267 * [backup-simplify]: Simplify (- n) into (- n) 4.267 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.267 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.267 * [backup-simplify]: Simplify (* -1 -1) into 1 4.267 * [taylor]: Taking taylor expansion of 1 in n 4.268 * [backup-simplify]: Simplify 1 into 1 4.268 * [backup-simplify]: Simplify 1 into 1 4.268 * [backup-simplify]: Simplify (+ 0 1) into 1 4.268 * [backup-simplify]: Simplify (- 0) into 0 4.268 * [backup-simplify]: Simplify (+ 1 0) into 1 4.268 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.269 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.269 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.269 * [taylor]: Taking taylor expansion of 2 in n 4.269 * [backup-simplify]: Simplify 2 into 2 4.269 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.269 * [taylor]: Taking taylor expansion of n in n 4.269 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify 1 into 1 4.269 * [backup-simplify]: Simplify (/ 1 1) into 1 4.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.270 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify (+ 0 0) into 0 4.270 * [backup-simplify]: Simplify (- 0) into 0 4.271 * [backup-simplify]: Simplify (+ 0 0) into 0 4.271 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.271 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.271 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.271 * [taylor]: Taking taylor expansion of 2 in n 4.271 * [backup-simplify]: Simplify 2 into 2 4.271 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.272 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.272 * [taylor]: Taking taylor expansion of n in n 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify 1 into 1 4.272 * [backup-simplify]: Simplify (* 1 1) into 1 4.272 * [backup-simplify]: Simplify (/ 1 1) into 1 4.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.274 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.274 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.275 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.275 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify (+ 0 0) into 0 4.276 * [backup-simplify]: Simplify (- 0) into 0 4.276 * [backup-simplify]: Simplify (+ 0 0) into 0 4.277 * [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)))) 4.277 * [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))) 4.277 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.277 * [taylor]: Taking taylor expansion of 2 in n 4.277 * [backup-simplify]: Simplify 2 into 2 4.277 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.277 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.277 * [taylor]: Taking taylor expansion of n in n 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 1 into 1 4.278 * [backup-simplify]: Simplify (* 1 1) into 1 4.278 * [backup-simplify]: Simplify (* 1 1) into 1 4.278 * [backup-simplify]: Simplify (/ 1 1) into 1 4.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.284 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.284 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify 1 into 1 4.284 * [backup-simplify]: Simplify (/ (/ -1 (- (/ 1 f) (/ 1 n))) (/ 1 (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.284 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.284 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.284 * [taylor]: Taking taylor expansion of -1 in n 4.284 * [backup-simplify]: Simplify -1 into -1 4.284 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.284 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.284 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.284 * [taylor]: Taking taylor expansion of f in n 4.284 * [backup-simplify]: Simplify f into f 4.284 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.284 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.284 * [taylor]: Taking taylor expansion of n in n 4.284 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify 1 into 1 4.284 * [backup-simplify]: Simplify (/ 1 1) into 1 4.284 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.284 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.284 * [taylor]: Taking taylor expansion of f in n 4.284 * [backup-simplify]: Simplify f into f 4.285 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.285 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.285 * [taylor]: Taking taylor expansion of n in n 4.285 * [backup-simplify]: Simplify 0 into 0 4.285 * [backup-simplify]: Simplify 1 into 1 4.285 * [backup-simplify]: Simplify (/ 1 1) into 1 4.285 * [backup-simplify]: Simplify (+ 0 1) into 1 4.285 * [backup-simplify]: Simplify (- 1) into -1 4.286 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.286 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.286 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.286 * [taylor]: Taking taylor expansion of -1 in f 4.286 * [backup-simplify]: Simplify -1 into -1 4.286 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.286 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.286 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.286 * [taylor]: Taking taylor expansion of f in f 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 1 into 1 4.286 * [backup-simplify]: Simplify (/ 1 1) into 1 4.286 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.286 * [taylor]: Taking taylor expansion of n in f 4.286 * [backup-simplify]: Simplify n into n 4.286 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.286 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.286 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.286 * [taylor]: Taking taylor expansion of f in f 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 1 into 1 4.287 * [backup-simplify]: Simplify (/ 1 1) into 1 4.287 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.287 * [taylor]: Taking taylor expansion of n in f 4.287 * [backup-simplify]: Simplify n into n 4.287 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.287 * [backup-simplify]: Simplify (+ 1 0) into 1 4.287 * [backup-simplify]: Simplify (+ 1 0) into 1 4.287 * [backup-simplify]: Simplify (/ 1 1) into 1 4.288 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.288 * [taylor]: Taking taylor expansion of -1 in f 4.288 * [backup-simplify]: Simplify -1 into -1 4.288 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.288 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.288 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.288 * [taylor]: Taking taylor expansion of f in f 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 1 into 1 4.288 * [backup-simplify]: Simplify (/ 1 1) into 1 4.288 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.288 * [taylor]: Taking taylor expansion of n in f 4.288 * [backup-simplify]: Simplify n into n 4.288 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.288 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.288 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.288 * [taylor]: Taking taylor expansion of f in f 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 1 into 1 4.288 * [backup-simplify]: Simplify (/ 1 1) into 1 4.288 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.288 * [taylor]: Taking taylor expansion of n in f 4.288 * [backup-simplify]: Simplify n into n 4.288 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.289 * [backup-simplify]: Simplify (+ 1 0) into 1 4.289 * [backup-simplify]: Simplify (+ 1 0) into 1 4.289 * [backup-simplify]: Simplify (/ 1 1) into 1 4.290 * [backup-simplify]: Simplify (* -1 1) into -1 4.290 * [taylor]: Taking taylor expansion of -1 in n 4.290 * [backup-simplify]: Simplify -1 into -1 4.290 * [backup-simplify]: Simplify -1 into -1 4.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.290 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.291 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.291 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.291 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.291 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.291 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.291 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.291 * [taylor]: Taking taylor expansion of 2 in n 4.291 * [backup-simplify]: Simplify 2 into 2 4.291 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.291 * [taylor]: Taking taylor expansion of n in n 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify (/ 1 1) into 1 4.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.292 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.293 * [backup-simplify]: Simplify (- 0) into 0 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.293 * [backup-simplify]: Simplify (+ 0 0) into 0 4.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.294 * [backup-simplify]: Simplify (- 0) into 0 4.294 * [backup-simplify]: Simplify (+ 0 0) into 0 4.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.296 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.296 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.296 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.296 * [taylor]: Taking taylor expansion of 2 in n 4.296 * [backup-simplify]: Simplify 2 into 2 4.296 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.296 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.296 * [taylor]: Taking taylor expansion of n in n 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 1 into 1 4.296 * [backup-simplify]: Simplify (* 1 1) into 1 4.296 * [backup-simplify]: Simplify (/ 1 1) into 1 4.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.300 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.300 * [backup-simplify]: Simplify (- 0) into 0 4.300 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.302 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.302 * [backup-simplify]: Simplify (- 0) into 0 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.304 * [backup-simplify]: Simplify (+ 0 0) into 0 4.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.305 * [backup-simplify]: Simplify (- 0) into 0 4.306 * [backup-simplify]: Simplify (+ 0 0) into 0 4.308 * [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))) 4.309 * [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)))) 4.309 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.309 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.309 * [taylor]: Taking taylor expansion of 2 in n 4.309 * [backup-simplify]: Simplify 2 into 2 4.309 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.309 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.309 * [taylor]: Taking taylor expansion of n in n 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify 1 into 1 4.309 * [backup-simplify]: Simplify (* 1 1) into 1 4.310 * [backup-simplify]: Simplify (* 1 1) into 1 4.310 * [backup-simplify]: Simplify (/ 1 1) into 1 4.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.319 * [backup-simplify]: Simplify (- 0) into 0 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify -1 into -1 4.320 * [backup-simplify]: Simplify (/ (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) (/ 1 (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.320 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.320 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.320 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.320 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.320 * [taylor]: Taking taylor expansion of f in n 4.320 * [backup-simplify]: Simplify f into f 4.320 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.320 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.320 * [taylor]: Taking taylor expansion of n in n 4.320 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify 1 into 1 4.321 * [backup-simplify]: Simplify (/ 1 1) into 1 4.321 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.321 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.321 * [taylor]: Taking taylor expansion of n in n 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 1 into 1 4.321 * [backup-simplify]: Simplify (/ 1 1) into 1 4.321 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.321 * [taylor]: Taking taylor expansion of f in n 4.321 * [backup-simplify]: Simplify f into f 4.321 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.322 * [backup-simplify]: Simplify (+ 0 1) into 1 4.322 * [backup-simplify]: Simplify (+ 1 0) into 1 4.323 * [backup-simplify]: Simplify (/ 1 1) into 1 4.323 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.323 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.323 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.323 * [taylor]: Taking taylor expansion of f in f 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 1 into 1 4.323 * [backup-simplify]: Simplify (/ 1 1) into 1 4.323 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.323 * [taylor]: Taking taylor expansion of n in f 4.323 * [backup-simplify]: Simplify n into n 4.323 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.323 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.323 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.323 * [taylor]: Taking taylor expansion of n in f 4.324 * [backup-simplify]: Simplify n into n 4.324 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.324 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.324 * [taylor]: Taking taylor expansion of f in f 4.324 * [backup-simplify]: Simplify 0 into 0 4.324 * [backup-simplify]: Simplify 1 into 1 4.324 * [backup-simplify]: Simplify (/ 1 1) into 1 4.324 * [backup-simplify]: Simplify (+ 1 0) into 1 4.325 * [backup-simplify]: Simplify (- 1) into -1 4.325 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.326 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.326 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.326 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.326 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.326 * [taylor]: Taking taylor expansion of f in f 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 1 into 1 4.326 * [backup-simplify]: Simplify (/ 1 1) into 1 4.326 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.326 * [taylor]: Taking taylor expansion of n in f 4.326 * [backup-simplify]: Simplify n into n 4.327 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.327 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.327 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.327 * [taylor]: Taking taylor expansion of n in f 4.327 * [backup-simplify]: Simplify n into n 4.327 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.327 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.327 * [taylor]: Taking taylor expansion of f in f 4.327 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify 1 into 1 4.327 * [backup-simplify]: Simplify (/ 1 1) into 1 4.328 * [backup-simplify]: Simplify (+ 1 0) into 1 4.328 * [backup-simplify]: Simplify (- 1) into -1 4.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.329 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.329 * [taylor]: Taking taylor expansion of -1 in n 4.329 * [backup-simplify]: Simplify -1 into -1 4.329 * [backup-simplify]: Simplify -1 into -1 4.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.330 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.331 * [backup-simplify]: Simplify (- 0) into 0 4.331 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.331 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.331 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.331 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.331 * [taylor]: Taking taylor expansion of 2 in n 4.331 * [backup-simplify]: Simplify 2 into 2 4.332 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.332 * [taylor]: Taking taylor expansion of n in n 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify 1 into 1 4.332 * [backup-simplify]: Simplify (/ 1 1) into 1 4.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.334 * [backup-simplify]: Simplify (- 0) into 0 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.335 * [backup-simplify]: Simplify (+ 0 0) into 0 4.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.337 * [backup-simplify]: Simplify (- 0) into 0 4.337 * [backup-simplify]: Simplify (+ 0 0) into 0 4.338 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.338 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.338 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.338 * [taylor]: Taking taylor expansion of 2 in n 4.338 * [backup-simplify]: Simplify 2 into 2 4.338 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.338 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.338 * [taylor]: Taking taylor expansion of n in n 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (* 1 1) into 1 4.339 * [backup-simplify]: Simplify (/ 1 1) into 1 4.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.344 * [backup-simplify]: Simplify (- 0) into 0 4.344 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.346 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.346 * [backup-simplify]: Simplify (- 0) into 0 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.348 * [backup-simplify]: Simplify (+ 0 0) into 0 4.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (- 0) into 0 4.350 * [backup-simplify]: Simplify (+ 0 0) into 0 4.351 * [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)))) 4.351 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.351 * [taylor]: Taking taylor expansion of 2 in n 4.352 * [backup-simplify]: Simplify 2 into 2 4.352 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.352 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.352 * [taylor]: Taking taylor expansion of n in n 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 1 into 1 4.352 * [backup-simplify]: Simplify (* 1 1) into 1 4.352 * [backup-simplify]: Simplify (* 1 1) into 1 4.353 * [backup-simplify]: Simplify (/ 1 1) into 1 4.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.360 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.360 * [backup-simplify]: Simplify (- 0) into 0 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify -1 into -1 4.360 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 4.360 * [backup-simplify]: Simplify (/ 1 (+ f n)) into (/ 1 (+ n f)) 4.360 * [approximate]: Taking taylor expansion of (/ 1 (+ n f)) in (f n) around 0 4.360 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in n 4.360 * [taylor]: Taking taylor expansion of (+ n f) in n 4.360 * [taylor]: Taking taylor expansion of n in n 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 1 into 1 4.360 * [taylor]: Taking taylor expansion of f in n 4.360 * [backup-simplify]: Simplify f into f 4.360 * [backup-simplify]: Simplify (+ 0 f) into f 4.360 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.360 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in f 4.360 * [taylor]: Taking taylor expansion of (+ n f) in f 4.360 * [taylor]: Taking taylor expansion of n in f 4.360 * [backup-simplify]: Simplify n into n 4.360 * [taylor]: Taking taylor expansion of f in f 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 1 into 1 4.360 * [backup-simplify]: Simplify (+ n 0) into n 4.360 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.360 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in f 4.360 * [taylor]: Taking taylor expansion of (+ n f) in f 4.360 * [taylor]: Taking taylor expansion of n in f 4.360 * [backup-simplify]: Simplify n into n 4.361 * [taylor]: Taking taylor expansion of f in f 4.361 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify 1 into 1 4.361 * [backup-simplify]: Simplify (+ n 0) into n 4.361 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.361 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.361 * [taylor]: Taking taylor expansion of n in n 4.361 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify 1 into 1 4.361 * [backup-simplify]: Simplify (/ 1 1) into 1 4.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.361 * [backup-simplify]: Simplify 0 into 0 4.362 * [backup-simplify]: Simplify (+ 0 1) into 1 4.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 4.362 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 4.362 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.362 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.362 * [taylor]: Taking taylor expansion of n in n 4.362 * [backup-simplify]: Simplify 0 into 0 4.362 * [backup-simplify]: Simplify 1 into 1 4.362 * [backup-simplify]: Simplify (* 1 1) into 1 4.362 * [backup-simplify]: Simplify (/ 1 1) into 1 4.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.364 * [backup-simplify]: Simplify (- 0) into 0 4.364 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify (+ 0 0) into 0 4.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 4.366 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.366 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.366 * [taylor]: Taking taylor expansion of n in n 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify 1 into 1 4.366 * [backup-simplify]: Simplify (* 1 1) into 1 4.366 * [backup-simplify]: Simplify (* 1 1) into 1 4.366 * [backup-simplify]: Simplify (/ 1 1) into 1 4.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.376 * [backup-simplify]: Simplify (- 0) into 0 4.376 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.377 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 f) (/ 1 n))) into (/ 1 (+ (/ 1 f) (/ 1 n))) 4.377 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in (f n) around 0 4.377 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in n 4.377 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.377 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.377 * [taylor]: Taking taylor expansion of f in n 4.377 * [backup-simplify]: Simplify f into f 4.377 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.377 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.377 * [taylor]: Taking taylor expansion of n in n 4.377 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify 1 into 1 4.378 * [backup-simplify]: Simplify (/ 1 1) into 1 4.378 * [backup-simplify]: Simplify (+ 0 1) into 1 4.378 * [backup-simplify]: Simplify (/ 1 1) into 1 4.378 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 4.378 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.378 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.378 * [taylor]: Taking taylor expansion of f in f 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify 1 into 1 4.379 * [backup-simplify]: Simplify (/ 1 1) into 1 4.379 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.379 * [taylor]: Taking taylor expansion of n in f 4.379 * [backup-simplify]: Simplify n into n 4.379 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.379 * [backup-simplify]: Simplify (+ 1 0) into 1 4.379 * [backup-simplify]: Simplify (/ 1 1) into 1 4.379 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 4.379 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.379 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.379 * [taylor]: Taking taylor expansion of f in f 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 1 into 1 4.379 * [backup-simplify]: Simplify (/ 1 1) into 1 4.379 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.379 * [taylor]: Taking taylor expansion of n in f 4.380 * [backup-simplify]: Simplify n into n 4.380 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.380 * [backup-simplify]: Simplify (+ 1 0) into 1 4.380 * [backup-simplify]: Simplify (/ 1 1) into 1 4.380 * [taylor]: Taking taylor expansion of 1 in n 4.380 * [backup-simplify]: Simplify 1 into 1 4.380 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.381 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 4.381 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 4.381 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.381 * [taylor]: Taking taylor expansion of n in n 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify 1 into 1 4.381 * [backup-simplify]: Simplify (/ 1 1) into 1 4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.382 * [backup-simplify]: Simplify (- 0) into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.383 * [backup-simplify]: Simplify (+ 0 0) into 0 4.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 4.384 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.384 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.384 * [taylor]: Taking taylor expansion of n in n 4.384 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify 1 into 1 4.384 * [backup-simplify]: Simplify (* 1 1) into 1 4.384 * [backup-simplify]: Simplify (/ 1 1) into 1 4.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.387 * [backup-simplify]: Simplify 0 into 0 4.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.388 * [backup-simplify]: Simplify (- 0) into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (+ (/ 1 f) (/ 1 n))) 4.388 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in (f n) around 0 4.388 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in n 4.388 * [taylor]: Taking taylor expansion of -1 in n 4.388 * [backup-simplify]: Simplify -1 into -1 4.388 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.388 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.388 * [taylor]: Taking taylor expansion of f in n 4.388 * [backup-simplify]: Simplify f into f 4.388 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.388 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.388 * [taylor]: Taking taylor expansion of n in n 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 1 into 1 4.388 * [backup-simplify]: Simplify (/ 1 1) into 1 4.389 * [backup-simplify]: Simplify (+ 0 1) into 1 4.389 * [backup-simplify]: Simplify (/ -1 1) into -1 4.389 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in f 4.389 * [taylor]: Taking taylor expansion of -1 in f 4.389 * [backup-simplify]: Simplify -1 into -1 4.389 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.389 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.389 * [taylor]: Taking taylor expansion of f in f 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 1 into 1 4.389 * [backup-simplify]: Simplify (/ 1 1) into 1 4.389 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.389 * [taylor]: Taking taylor expansion of n in f 4.389 * [backup-simplify]: Simplify n into n 4.389 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.390 * [backup-simplify]: Simplify (+ 1 0) into 1 4.390 * [backup-simplify]: Simplify (/ -1 1) into -1 4.390 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in f 4.390 * [taylor]: Taking taylor expansion of -1 in f 4.390 * [backup-simplify]: Simplify -1 into -1 4.390 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.390 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.390 * [taylor]: Taking taylor expansion of f in f 4.390 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify 1 into 1 4.390 * [backup-simplify]: Simplify (/ 1 1) into 1 4.390 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.390 * [taylor]: Taking taylor expansion of n in f 4.390 * [backup-simplify]: Simplify n into n 4.390 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.391 * [backup-simplify]: Simplify (+ 1 0) into 1 4.391 * [backup-simplify]: Simplify (/ -1 1) into -1 4.391 * [taylor]: Taking taylor expansion of -1 in n 4.391 * [backup-simplify]: Simplify -1 into -1 4.391 * [backup-simplify]: Simplify 0 into 0 4.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.392 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 n) 1)))) into (/ 1 n) 4.392 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.392 * [taylor]: Taking taylor expansion of n in n 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.392 * [backup-simplify]: Simplify (/ 1 1) into 1 4.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.394 * [backup-simplify]: Simplify (+ 0 0) into 0 4.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 n) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 2))) 4.396 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 4.396 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.396 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.396 * [taylor]: Taking taylor expansion of n in n 4.396 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify 1 into 1 4.396 * [backup-simplify]: Simplify (* 1 1) into 1 4.397 * [backup-simplify]: Simplify (/ 1 1) into 1 4.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.402 * [backup-simplify]: Simplify (- 0) into 0 4.402 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * * * [progress]: simplifying candidates 4.422 * [simplify]: Simplifying: (- (log -1) (log (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (- -1) (- (- f n)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (- (sqrt f) (sqrt n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) (/ -1 1) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 1) (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (pow f 3) (pow n 3))) (/ -1 (- (* f f) (* n n))) (- (- (log -1) (log (- f n))) (- (log (+ f n)))) (- (- (log -1) (log (- f n))) (- 0 (log (+ f n)))) (- (- (log -1) (log (- f n))) (- (log 1) (log (+ f n)))) (- (- (log -1) (log (- f n))) (log (/ 1 (+ f n)))) (- (log (/ -1 (- f n))) (- (log (+ f n)))) (- (log (/ -1 (- f n))) (- 0 (log (+ f n)))) (- (log (/ -1 (- f n))) (- (log 1) (log (+ f n)))) (- (log (/ -1 (- f n))) (log (/ 1 (+ f n)))) (log (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (exp (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (/ (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (/ (* (* 1 1) 1) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (* (/ 1 (+ f n)) (/ 1 (+ f n))) (/ 1 (+ f n)))) (/ (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (/ (* (* 1 1) 1) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (* (* (/ 1 (+ f n)) (/ 1 (+ f n))) (/ 1 (+ f n)))) (* (cbrt (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (cbrt (/ (/ -1 (- f n)) (/ 1 (+ f n))))) (cbrt (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (* (* (/ (/ -1 (- f n)) (/ 1 (+ f n))) (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (sqrt (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (sqrt (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (- (/ -1 (- f n))) (- (/ 1 (+ f n))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (* (cbrt (/ 1 (+ f n))) (cbrt (/ 1 (+ f n))))) (/ (cbrt (/ -1 (- f n))) (cbrt (/ 1 (+ f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (sqrt (/ 1 (+ f n)))) (/ (cbrt (/ -1 (- f n))) (sqrt (/ 1 (+ f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (/ -1 (- f n))) (/ (cbrt 1) (cbrt (+ f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ f n)))) (/ (cbrt (/ -1 (- f n))) (/ (cbrt 1) (sqrt (+ f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ -1 (- f n))) (/ (cbrt 1) (+ f n))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ -1 (- f n))) (/ (cbrt 1) (+ f n))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ (sqrt 1) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (/ -1 (- f n))) (/ (sqrt 1) (cbrt (+ f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ (sqrt 1) (sqrt (+ f n)))) (/ (cbrt (/ -1 (- f n))) (/ (sqrt 1) (sqrt (+ f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ (sqrt 1) 1)) (/ (cbrt (/ -1 (- f n))) (/ (sqrt 1) (+ f n))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ (sqrt 1) 1)) (/ (cbrt (/ -1 (- f n))) (/ (sqrt 1) (+ f n))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (/ -1 (- f n))) (/ 1 (cbrt (+ f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ 1 (sqrt (+ f n)))) (/ (cbrt (/ -1 (- f n))) (/ 1 (sqrt (+ f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ 1 1)) (/ (cbrt (/ -1 (- f n))) (/ 1 (+ f n))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ 1 1)) (/ (cbrt (/ -1 (- f n))) (/ 1 (+ f n))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) 1) (/ (cbrt (/ -1 (- f n))) (/ 1 (+ f n))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) 1) (/ (cbrt (/ -1 (- f n))) (/ 1 (+ f n))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ 1 (+ (pow f 3) (pow n 3)))) (/ (cbrt (/ -1 (- f n))) (+ (* f f) (- (* n n) (* f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ 1 (- (* f f) (* n n)))) (/ (cbrt (/ -1 (- f n))) (- f n)) (/ (sqrt (/ -1 (- f n))) (* (cbrt (/ 1 (+ f n))) (cbrt (/ 1 (+ f n))))) (/ (sqrt (/ -1 (- f n))) (cbrt (/ 1 (+ f n)))) (/ (sqrt (/ -1 (- f n))) (sqrt (/ 1 (+ f n)))) (/ (sqrt (/ -1 (- f n))) (sqrt (/ 1 (+ f n)))) (/ (sqrt (/ -1 (- f n))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt (/ -1 (- f n))) (/ (cbrt 1) (cbrt (+ f n)))) (/ (sqrt (/ -1 (- f n))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ f n)))) (/ (sqrt (/ -1 (- f n))) (/ (cbrt 1) (sqrt (+ f n)))) (/ (sqrt (/ -1 (- f n))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (sqrt (/ -1 (- f n))) (/ (cbrt 1) (+ f n))) (/ (sqrt (/ -1 (- f n))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (sqrt (/ -1 (- f n))) (/ (cbrt 1) (+ f n))) (/ (sqrt (/ -1 (- f n))) (/ (sqrt 1) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt (/ -1 (- f n))) (/ (sqrt 1) (cbrt (+ f n)))) (/ (sqrt (/ -1 (- f n))) (/ (sqrt 1) (sqrt (+ f n)))) (/ (sqrt (/ -1 (- f n))) (/ (sqrt 1) (sqrt (+ f n)))) (/ (sqrt (/ -1 (- f n))) (/ (sqrt 1) 1)) (/ (sqrt (/ -1 (- f n))) (/ (sqrt 1) (+ f n))) (/ (sqrt (/ -1 (- f n))) (/ (sqrt 1) 1)) (/ (sqrt (/ -1 (- f n))) (/ (sqrt 1) (+ f n))) (/ (sqrt (/ -1 (- f n))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt (/ -1 (- f n))) (/ 1 (cbrt (+ f n)))) (/ (sqrt (/ -1 (- f n))) (/ 1 (sqrt (+ f n)))) (/ (sqrt (/ -1 (- f n))) (/ 1 (sqrt (+ f n)))) (/ (sqrt (/ -1 (- f n))) (/ 1 1)) (/ (sqrt (/ -1 (- f n))) (/ 1 (+ f n))) (/ (sqrt (/ -1 (- f n))) (/ 1 1)) (/ (sqrt (/ -1 (- f n))) (/ 1 (+ f n))) (/ (sqrt (/ -1 (- f n))) 1) (/ (sqrt (/ -1 (- f n))) (/ 1 (+ f n))) (/ (sqrt (/ -1 (- f n))) 1) (/ (sqrt (/ -1 (- f n))) (/ 1 (+ f n))) (/ (sqrt (/ -1 (- f n))) (/ 1 (+ (pow f 3) (pow n 3)))) (/ (sqrt (/ -1 (- f n))) (+ (* f f) (- (* n n) (* f n)))) (/ (sqrt (/ -1 (- f n))) (/ 1 (- (* f f) (* n n)))) (/ (sqrt (/ -1 (- f n))) (- f n)) (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (/ 1 (+ f n))) (cbrt (/ 1 (+ f n))))) (/ (/ (cbrt -1) (cbrt (- f n))) (cbrt (/ 1 (+ f n)))) (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (/ 1 (+ f n)))) (/ (/ (cbrt -1) (cbrt (- f n))) (sqrt (/ 1 (+ f n)))) (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 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(sqrt (+ h1 h0))) (/ 1 (sqrt (+ h1 h0))) (/ 1 1) (/ 1 (+ h1 h0)) (/ 1 1) (/ 1 (+ h1 h0)) (/ 1 (+ h1 h0)) (/ (+ h1 h0) 1) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ 1 (sqrt (+ h1 h0))) (/ 1 1) (/ 1 1) (/ (+ h1 h0) (cbrt 1)) (/ (+ h1 h0) (sqrt 1)) (/ (+ h1 h0) 1) (/ 1 (+ (pow h1 3) (pow h0 3))) (/ 1 (- (* h1 h1) (* h0 h0))) 0 0 0 1 -1 -1 0 0 0 5.391 * * * [progress]: adding candidates to table 6.948 * [progress]: [Phase 3 of 3] Extracting. 6.948 * * [regime]: Finding splitpoints for: (# # #) 6.950 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 6.950 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 6.965 * * * * [regimes]: Trying to branch on n from (# # #) 6.977 * * * * [regimes]: Trying to branch on f from (# # #) 7.001 * * * [regime]: Found split indices: #