0.694 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.313 * * * [progress]: [2/2] Setting up program.
0.316 * [progress]: [Phase 2 of 3] Improving.
0.318 * [simplify]: Simplifying:
  (/ (- (+ f n)) (- f n))
0.318 * [simplify]: Sending expressions to egg_math:
 (/ (- (+ h1 h0)) (- h1 h0))
0.321 * * [simplify]: iteration  0 :  13  enodes  (cost  4 )
0.322 * * [simplify]: iteration  1 :  16  enodes  (cost  4 )
0.324 * * [simplify]: iteration  2 :  20  enodes  (cost  4 )
0.325 * * [simplify]: iteration  3 :  26  enodes  (cost  4 )
0.326 * * [simplify]: iteration  4 :  31  enodes  (cost  4 )
0.328 * * [simplify]: iteration  5 :  33  enodes  (cost  4 )
0.329 * * [simplify]: iteration  6 :  33  enodes  (cost  4 )
0.330 * * [progress]: iteration 1 / 4
0.331 * * * [progress]: picking best candidate
0.332 * * * * [pick]: Picked  #<alt (λ (f n) (/ (- (+ f n)) (- f n)))>
0.332 * * * [progress]: localizing error
0.340 * * * [progress]: generating rewritten candidates
0.340 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.405 * * * [progress]: generating series expansions
0.406 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.410 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n)))
0.411 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0
0.411 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n
0.411 * [taylor]: Taking taylor expansion of -1 in n
0.411 * [backup-simplify]: Simplify -1 into -1
0.411 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n
0.411 * [taylor]: Taking taylor expansion of (+ n f) in n
0.411 * [taylor]: Taking taylor expansion of n in n
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 1 into 1
0.412 * [taylor]: Taking taylor expansion of f in n
0.412 * [backup-simplify]: Simplify f into f
0.412 * [taylor]: Taking taylor expansion of (- f n) in n
0.412 * [taylor]: Taking taylor expansion of f in n
0.412 * [backup-simplify]: Simplify f into f
0.412 * [taylor]: Taking taylor expansion of n in n
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 1 into 1
0.412 * [backup-simplify]: Simplify (+ 0 f) into f
0.413 * [backup-simplify]: Simplify (- 0) into 0
0.413 * [backup-simplify]: Simplify (+ f 0) into f
0.413 * [backup-simplify]: Simplify (/ f f) into 1
0.413 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f
0.413 * [taylor]: Taking taylor expansion of -1 in f
0.413 * [backup-simplify]: Simplify -1 into -1
0.413 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f
0.413 * [taylor]: Taking taylor expansion of (+ n f) in f
0.413 * [taylor]: Taking taylor expansion of n in f
0.413 * [backup-simplify]: Simplify n into n
0.413 * [taylor]: Taking taylor expansion of f in f
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify 1 into 1
0.413 * [taylor]: Taking taylor expansion of (- f n) in f
0.413 * [taylor]: Taking taylor expansion of f in f
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify 1 into 1
0.413 * [taylor]: Taking taylor expansion of n in f
0.413 * [backup-simplify]: Simplify n into n
0.413 * [backup-simplify]: Simplify (+ n 0) into n
0.413 * [backup-simplify]: Simplify (- n) into (- n)
0.413 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
0.413 * [backup-simplify]: Simplify (/ n (- n)) into -1
0.413 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f
0.413 * [taylor]: Taking taylor expansion of -1 in f
0.413 * [backup-simplify]: Simplify -1 into -1
0.413 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f
0.413 * [taylor]: Taking taylor expansion of (+ n f) in f
0.413 * [taylor]: Taking taylor expansion of n in f
0.413 * [backup-simplify]: Simplify n into n
0.413 * [taylor]: Taking taylor expansion of f in f
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify 1 into 1
0.413 * [taylor]: Taking taylor expansion of (- f n) in f
0.413 * [taylor]: Taking taylor expansion of f in f
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify 1 into 1
0.413 * [taylor]: Taking taylor expansion of n in f
0.413 * [backup-simplify]: Simplify n into n
0.413 * [backup-simplify]: Simplify (+ n 0) into n
0.414 * [backup-simplify]: Simplify (- n) into (- n)
0.414 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
0.414 * [backup-simplify]: Simplify (/ n (- n)) into -1
0.414 * [backup-simplify]: Simplify (* -1 -1) into 1
0.414 * [taylor]: Taking taylor expansion of 1 in n
0.414 * [backup-simplify]: Simplify 1 into 1
0.414 * [backup-simplify]: Simplify 1 into 1
0.415 * [backup-simplify]: Simplify (+ 0 1) into 1
0.415 * [backup-simplify]: Simplify (- 0) into 0
0.416 * [backup-simplify]: Simplify (+ 1 0) into 1
0.416 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n)))
0.416 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n))
0.416 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
0.416 * [taylor]: Taking taylor expansion of 2 in n
0.416 * [backup-simplify]: Simplify 2 into 2
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
0.417 * [backup-simplify]: Simplify (/ 1 1) into 1
0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.417 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.418 * [backup-simplify]: Simplify 0 into 0
0.418 * [backup-simplify]: Simplify (+ 0 0) into 0
0.418 * [backup-simplify]: Simplify (- 0) into 0
0.418 * [backup-simplify]: Simplify (+ 0 0) into 0
0.419 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2))))
0.419 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2)))
0.419 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
0.419 * [taylor]: Taking taylor expansion of 2 in n
0.419 * [backup-simplify]: Simplify 2 into 2
0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
0.419 * [taylor]: Taking taylor expansion of (pow n 2) in n
0.419 * [taylor]: Taking taylor expansion of n in n
0.419 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (* 1 1) into 1
0.420 * [backup-simplify]: Simplify (/ 1 1) into 1
0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.422 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.422 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [backup-simplify]: Simplify (- 0) into 0
0.424 * [backup-simplify]: Simplify (+ 0 0) into 0
0.425 * [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))))
0.425 * [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)))
0.425 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
0.425 * [taylor]: Taking taylor expansion of 2 in n
0.425 * [backup-simplify]: Simplify 2 into 2
0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
0.425 * [taylor]: Taking taylor expansion of (pow n 3) in n
0.425 * [taylor]: Taking taylor expansion of n in n
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify 1 into 1
0.426 * [backup-simplify]: Simplify (* 1 1) into 1
0.426 * [backup-simplify]: Simplify (* 1 1) into 1
0.426 * [backup-simplify]: Simplify (/ 1 1) into 1
0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.431 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.431 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify 1 into 1
0.431 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))
0.431 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0
0.431 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n
0.431 * [taylor]: Taking taylor expansion of -1 in n
0.431 * [backup-simplify]: Simplify -1 into -1
0.431 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n
0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
0.431 * [taylor]: Taking taylor expansion of (/ 1 f) in n
0.431 * [taylor]: Taking taylor expansion of f in n
0.431 * [backup-simplify]: Simplify f into f
0.432 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
0.432 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.432 * [taylor]: Taking taylor expansion of n in n
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify 1 into 1
0.432 * [backup-simplify]: Simplify (/ 1 1) into 1
0.432 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n
0.432 * [taylor]: Taking taylor expansion of (/ 1 f) in n
0.432 * [taylor]: Taking taylor expansion of f in n
0.432 * [backup-simplify]: Simplify f into f
0.432 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
0.432 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.432 * [taylor]: Taking taylor expansion of n in n
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify 1 into 1
0.432 * [backup-simplify]: Simplify (/ 1 1) into 1
0.433 * [backup-simplify]: Simplify (+ 0 1) into 1
0.433 * [backup-simplify]: Simplify (- 1) into -1
0.433 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.433 * [backup-simplify]: Simplify (/ 1 -1) into -1
0.433 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f
0.433 * [taylor]: Taking taylor expansion of -1 in f
0.433 * [backup-simplify]: Simplify -1 into -1
0.433 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f
0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
0.434 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.434 * [taylor]: Taking taylor expansion of f in f
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 1 into 1
0.434 * [backup-simplify]: Simplify (/ 1 1) into 1
0.434 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.434 * [taylor]: Taking taylor expansion of n in f
0.434 * [backup-simplify]: Simplify n into n
0.434 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.434 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
0.434 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.434 * [taylor]: Taking taylor expansion of f in f
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 1 into 1
0.434 * [backup-simplify]: Simplify (/ 1 1) into 1
0.434 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.434 * [taylor]: Taking taylor expansion of n in f
0.434 * [backup-simplify]: Simplify n into n
0.434 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.434 * [backup-simplify]: Simplify (+ 1 0) into 1
0.435 * [backup-simplify]: Simplify (+ 1 0) into 1
0.435 * [backup-simplify]: Simplify (/ 1 1) into 1
0.435 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f
0.435 * [taylor]: Taking taylor expansion of -1 in f
0.435 * [backup-simplify]: Simplify -1 into -1
0.435 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f
0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
0.435 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.435 * [taylor]: Taking taylor expansion of f in f
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify 1 into 1
0.435 * [backup-simplify]: Simplify (/ 1 1) into 1
0.435 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.435 * [taylor]: Taking taylor expansion of n in f
0.435 * [backup-simplify]: Simplify n into n
0.435 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.435 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
0.435 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.435 * [taylor]: Taking taylor expansion of f in f
0.435 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify 1 into 1
0.436 * [backup-simplify]: Simplify (/ 1 1) into 1
0.436 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.436 * [taylor]: Taking taylor expansion of n in f
0.436 * [backup-simplify]: Simplify n into n
0.436 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.436 * [backup-simplify]: Simplify (+ 1 0) into 1
0.436 * [backup-simplify]: Simplify (+ 1 0) into 1
0.437 * [backup-simplify]: Simplify (/ 1 1) into 1
0.437 * [backup-simplify]: Simplify (* -1 1) into -1
0.437 * [taylor]: Taking taylor expansion of -1 in n
0.437 * [backup-simplify]: Simplify -1 into -1
0.437 * [backup-simplify]: Simplify -1 into -1
0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.437 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
0.438 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n))
0.438 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n))
0.438 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n)))
0.438 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n
0.438 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
0.438 * [taylor]: Taking taylor expansion of 2 in n
0.438 * [backup-simplify]: Simplify 2 into 2
0.438 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.438 * [taylor]: Taking taylor expansion of n in n
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 1 into 1
0.439 * [backup-simplify]: Simplify (/ 1 1) into 1
0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.439 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.440 * [backup-simplify]: Simplify (- 0) into 0
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
0.441 * [backup-simplify]: Simplify (+ 0 0) into 0
0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
0.441 * [backup-simplify]: Simplify (- 0) into 0
0.442 * [backup-simplify]: Simplify (+ 0 0) into 0
0.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2)))
0.443 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2))))
0.443 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n
0.443 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
0.443 * [taylor]: Taking taylor expansion of 2 in n
0.443 * [backup-simplify]: Simplify 2 into 2
0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
0.443 * [taylor]: Taking taylor expansion of (pow n 2) in n
0.443 * [taylor]: Taking taylor expansion of n in n
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 1 into 1
0.443 * [backup-simplify]: Simplify (* 1 1) into 1
0.443 * [backup-simplify]: Simplify (/ 1 1) into 1
0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.445 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.446 * [backup-simplify]: Simplify (- 0) into 0
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.447 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.447 * [backup-simplify]: Simplify (- 0) into 0
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 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
0.448 * [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
0.450 * [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)))
0.451 * [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))))
0.451 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n
0.451 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
0.451 * [taylor]: Taking taylor expansion of 2 in n
0.451 * [backup-simplify]: Simplify 2 into 2
0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
0.451 * [taylor]: Taking taylor expansion of (pow n 3) in n
0.451 * [taylor]: Taking taylor expansion of n in n
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify 1 into 1
0.451 * [backup-simplify]: Simplify (* 1 1) into 1
0.451 * [backup-simplify]: Simplify (* 1 1) into 1
0.452 * [backup-simplify]: Simplify (/ 1 1) into 1
0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.456 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.456 * [backup-simplify]: Simplify (- 0) into 0
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify -1 into -1
0.457 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))
0.457 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0
0.457 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n
0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
0.457 * [taylor]: Taking taylor expansion of (/ 1 f) in n
0.457 * [taylor]: Taking taylor expansion of f in n
0.457 * [backup-simplify]: Simplify f into f
0.457 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
0.457 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.457 * [taylor]: Taking taylor expansion of n in n
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify 1 into 1
0.457 * [backup-simplify]: Simplify (/ 1 1) into 1
0.457 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n
0.457 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.457 * [taylor]: Taking taylor expansion of n in n
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify 1 into 1
0.458 * [backup-simplify]: Simplify (/ 1 1) into 1
0.458 * [taylor]: Taking taylor expansion of (/ 1 f) in n
0.458 * [taylor]: Taking taylor expansion of f in n
0.458 * [backup-simplify]: Simplify f into f
0.458 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
0.458 * [backup-simplify]: Simplify (+ 0 1) into 1
0.458 * [backup-simplify]: Simplify (+ 1 0) into 1
0.458 * [backup-simplify]: Simplify (/ 1 1) into 1
0.458 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f
0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
0.459 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.459 * [taylor]: Taking taylor expansion of f in f
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 1 into 1
0.459 * [backup-simplify]: Simplify (/ 1 1) into 1
0.459 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.459 * [taylor]: Taking taylor expansion of n in f
0.459 * [backup-simplify]: Simplify n into n
0.459 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.459 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
0.459 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.459 * [taylor]: Taking taylor expansion of n in f
0.459 * [backup-simplify]: Simplify n into n
0.459 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.459 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.459 * [taylor]: Taking taylor expansion of f in f
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 1 into 1
0.459 * [backup-simplify]: Simplify (/ 1 1) into 1
0.460 * [backup-simplify]: Simplify (+ 1 0) into 1
0.460 * [backup-simplify]: Simplify (- 1) into -1
0.460 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.460 * [backup-simplify]: Simplify (/ 1 -1) into -1
0.460 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f
0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
0.460 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.460 * [taylor]: Taking taylor expansion of f in f
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify 1 into 1
0.461 * [backup-simplify]: Simplify (/ 1 1) into 1
0.461 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.461 * [taylor]: Taking taylor expansion of n in f
0.461 * [backup-simplify]: Simplify n into n
0.461 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.461 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
0.461 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.461 * [taylor]: Taking taylor expansion of n in f
0.461 * [backup-simplify]: Simplify n into n
0.461 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.461 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.461 * [taylor]: Taking taylor expansion of f in f
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 1 into 1
0.461 * [backup-simplify]: Simplify (/ 1 1) into 1
0.461 * [backup-simplify]: Simplify (+ 1 0) into 1
0.462 * [backup-simplify]: Simplify (- 1) into -1
0.462 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.462 * [backup-simplify]: Simplify (/ 1 -1) into -1
0.462 * [taylor]: Taking taylor expansion of -1 in n
0.462 * [backup-simplify]: Simplify -1 into -1
0.462 * [backup-simplify]: Simplify -1 into -1
0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.463 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.463 * [backup-simplify]: Simplify (- 0) into 0
0.463 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
0.464 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n)))
0.464 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n
0.464 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
0.464 * [taylor]: Taking taylor expansion of 2 in n
0.464 * [backup-simplify]: Simplify 2 into 2
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 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.465 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.471 * [backup-simplify]: Simplify (- 0) into 0
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
0.473 * [backup-simplify]: Simplify (+ 0 0) into 0
0.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.474 * [backup-simplify]: Simplify (- 0) into 0
0.474 * [backup-simplify]: Simplify (+ 0 0) into 0
0.474 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2))))
0.474 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n
0.475 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 (pow n 2)) in n
0.475 * [taylor]: Taking taylor expansion of (pow n 2) 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
0.475 * [backup-simplify]: Simplify (* 1 1) into 1
0.475 * [backup-simplify]: Simplify (/ 1 1) into 1
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.477 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.479 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.479 * [backup-simplify]: Simplify (- 0) into 0
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.480 * [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))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3))))
0.482 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n
0.482 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
0.482 * [taylor]: Taking taylor expansion of 2 in n
0.482 * [backup-simplify]: Simplify 2 into 2
0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
0.482 * [taylor]: Taking taylor expansion of (pow n 3) in n
0.482 * [taylor]: Taking taylor expansion of n in n
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify 1 into 1
0.482 * [backup-simplify]: Simplify (* 1 1) into 1
0.482 * [backup-simplify]: Simplify (* 1 1) into 1
0.483 * [backup-simplify]: Simplify (/ 1 1) into 1
0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (- 0) into 0
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify -1 into -1
0.488 * * * [progress]: simplifying candidates
0.489 * [simplify]: Simplifying:
  (expm1 (/ (- (+ f n)) (- f n)))
  (log1p (/ (- (+ f n)) (- f n)))
  (- (log (- (+ f n))) (log (- f n)))
  (log (/ (- (+ f n)) (- f n)))
  (exp (/ (- (+ f n)) (- f n)))
  (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
  (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
  (cbrt (/ (- (+ f n)) (- f n)))
  (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))
  (sqrt (/ (- (+ f n)) (- f n)))
  (sqrt (/ (- (+ f n)) (- f n)))
  (- (- (+ f n)))
  (- (- f n))
  (/ 0 (- f n))
  (/ (+ f n) (- f n))
  (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (cbrt (- (+ f n))) (cbrt (- f n)))
  (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n)))
  (/ (cbrt (- (+ f n))) (sqrt (- f n)))
  (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1)
  (/ (cbrt (- (+ f n))) (- f n))
  (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n)))
  (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n)))
  (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1)
  (/ (cbrt (- (+ f n))) (- f n))
  (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (sqrt (- (+ f n))) (cbrt (- f n)))
  (/ (sqrt (- (+ f n))) (sqrt (- f n)))
  (/ (sqrt (- (+ f n))) (sqrt (- f n)))
  (/ (sqrt (- (+ f n))) 1)
  (/ (sqrt (- (+ f n))) (- f n))
  (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n)))
  (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n)))
  (/ (sqrt (- (+ f n))) 1)
  (/ (sqrt (- (+ f n))) (- f n))
  (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (- (+ f n)) (cbrt (- f n)))
  (/ 1 (sqrt (- f n)))
  (/ (- (+ f n)) (sqrt (- f n)))
  (/ 1 1)
  (/ (- (+ f n)) (- f n))
  (/ 1 (+ (sqrt f) (sqrt n)))
  (/ (- (+ f n)) (- (sqrt f) (sqrt n)))
  (/ 1 1)
  (/ (- (+ f n)) (- f n))
  (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (+ f n) (cbrt (- f n)))
  (/ -1 (sqrt (- f n)))
  (/ (+ f n) (sqrt (- f n)))
  (/ -1 1)
  (/ (+ f n) (- f n))
  (/ -1 (+ (sqrt f) (sqrt n)))
  (/ (+ f n) (- (sqrt f) (sqrt n)))
  (/ -1 1)
  (/ (+ f n) (- f n))
  (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (cbrt (+ f n)) (cbrt (- f n)))
  (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n)))
  (/ (cbrt (+ f n)) (sqrt (- f n)))
  (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)
  (/ (cbrt (+ f n)) (- f n))
  (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n)))
  (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n)))
  (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)
  (/ (cbrt (+ f n)) (- f n))
  (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (sqrt (+ f n)) (cbrt (- f n)))
  (/ (- (sqrt (+ f n))) (sqrt (- f n)))
  (/ (sqrt (+ f n)) (sqrt (- f n)))
  (/ (- (sqrt (+ f n))) 1)
  (/ (sqrt (+ f n)) (- f n))
  (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))
  (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n)))
  (/ (- (sqrt (+ f n))) 1)
  (/ (sqrt (+ f n)) (- f n))
  (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (+ f n) (cbrt (- f n)))
  (/ (- 1) (sqrt (- f n)))
  (/ (+ f n) (sqrt (- f n)))
  (/ (- 1) 1)
  (/ (+ f n) (- f n))
  (/ (- 1) (+ (sqrt f) (sqrt n)))
  (/ (+ f n) (- (sqrt f) (sqrt n)))
  (/ (- 1) 1)
  (/ (+ f n) (- f n))
  (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (+ f n) (cbrt (- f n)))
  (/ (- 1) (sqrt (- f n)))
  (/ (+ f n) (sqrt (- f n)))
  (/ (- 1) 1)
  (/ (+ f n) (- f n))
  (/ (- 1) (+ (sqrt f) (sqrt n)))
  (/ (+ f n) (- (sqrt f) (sqrt n)))
  (/ (- 1) 1)
  (/ (+ f n) (- f n))
  (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (- (cbrt (+ f n))) (cbrt (- f n)))
  (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))
  (/ (- (cbrt (+ f n))) (sqrt (- f n)))
  (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1)
  (/ (- (cbrt (+ f n))) (- f n))
  (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))
  (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n)))
  (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1)
  (/ (- (cbrt (+ f n))) (- f n))
  (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (- (sqrt (+ f n))) (cbrt (- f n)))
  (/ (sqrt (+ f n)) (sqrt (- f n)))
  (/ (- (sqrt (+ f n))) (sqrt (- f n)))
  (/ (sqrt (+ f n)) 1)
  (/ (- (sqrt (+ f n))) (- f n))
  (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))
  (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n)))
  (/ (sqrt (+ f n)) 1)
  (/ (- (sqrt (+ f n))) (- f n))
  (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (- (+ f n)) (cbrt (- f n)))
  (/ 1 (sqrt (- f n)))
  (/ (- (+ f n)) (sqrt (- f n)))
  (/ 1 1)
  (/ (- (+ f n)) (- f n))
  (/ 1 (+ (sqrt f) (sqrt n)))
  (/ (- (+ f n)) (- (sqrt f) (sqrt n)))
  (/ 1 1)
  (/ (- (+ f n)) (- f n))
  (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (- (+ f n)) (cbrt (- f n)))
  (/ 1 (sqrt (- f n)))
  (/ (- (+ f n)) (sqrt (- f n)))
  (/ 1 1)
  (/ (- (+ f n)) (- f n))
  (/ 1 (+ (sqrt f) (sqrt n)))
  (/ (- (+ f n)) (- (sqrt f) (sqrt n)))
  (/ 1 1)
  (/ (- (+ f n)) (- f n))
  (/ 1 (- f n))
  (/ (- f n) (- (+ f n)))
  (/ (+ f n) (- f n))
  (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (- (+ f n)) (sqrt (- f n)))
  (/ (- (+ f n)) 1)
  (/ (- (+ f n)) (+ (sqrt f) (sqrt n)))
  (/ (- (+ f n)) 1)
  (/ (- f n) (cbrt (- (+ f n))))
  (/ (- f n) (sqrt (- (+ f n))))
  (/ (- f n) (- (+ f n)))
  (/ (- f n) (+ f n))
  (/ (- f n) (cbrt (+ f n)))
  (/ (- f n) (sqrt (+ f n)))
  (/ (- f n) (+ f n))
  (/ (- f n) (+ f n))
  (/ (- f n) (- (cbrt (+ f n))))
  (/ (- f n) (- (sqrt (+ f n))))
  (/ (- f n) (- (+ f n)))
  (/ (- f n) (- (+ f n)))
  (/ (- (+ f n)) (- (pow f 3) (pow n 3)))
  (/ (- (+ f n)) (- (* f f) (* n n)))
  (* (- f n) (+ (* f f) (- (* n n) (* f n))))
  (* (- f n) (- f n))
  1
  -1
  -1
0.490 * [simplify]: Sending expressions to egg_math:
 (expm1 (/ (- (+ h1 h0)) (- h1 h0)))
 (log1p (/ (- (+ h1 h0)) (- h1 h0)))
 (- (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
0.494 * * [simplify]: iteration  0 :  293  enodes  (cost  774 )
0.499 * * [simplify]: iteration  1 :  927  enodes  (cost  758 )
0.512 * * [simplify]: iteration  2 :  3021  enodes  (cost  743 )
0.548 * * [simplify]: iteration  3 :  5001  enodes  (cost  743 )
0.552 * * * [progress]: adding candidates to table
0.702 * * [progress]: iteration 2 / 4
0.702 * * * [progress]: picking best candidate
0.709 * * * * [pick]: Picked  #<alt (λ (f n) (/ -1 (/ (- f n) (+ f n))))>
0.709 * * * [progress]: localizing error
0.715 * * * [progress]: generating rewritten candidates
0.715 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2)
0.737 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.771 * * * [progress]: generating series expansions
0.771 * * * * [progress]: [ 1 / 2 ] generating series at (2 2)
0.771 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f))
0.771 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0
0.771 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n
0.771 * [taylor]: Taking taylor expansion of (- f n) in n
0.771 * [taylor]: Taking taylor expansion of f in n
0.771 * [backup-simplify]: Simplify f into f
0.771 * [taylor]: Taking taylor expansion of n in n
0.771 * [backup-simplify]: Simplify 0 into 0
0.771 * [backup-simplify]: Simplify 1 into 1
0.771 * [taylor]: Taking taylor expansion of (+ n f) in n
0.771 * [taylor]: Taking taylor expansion of n in n
0.771 * [backup-simplify]: Simplify 0 into 0
0.771 * [backup-simplify]: Simplify 1 into 1
0.771 * [taylor]: Taking taylor expansion of f in n
0.771 * [backup-simplify]: Simplify f into f
0.771 * [backup-simplify]: Simplify (- 0) into 0
0.772 * [backup-simplify]: Simplify (+ f 0) into f
0.772 * [backup-simplify]: Simplify (+ 0 f) into f
0.772 * [backup-simplify]: Simplify (/ f f) into 1
0.772 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f
0.772 * [taylor]: Taking taylor expansion of (- f n) in f
0.772 * [taylor]: Taking taylor expansion of f in f
0.772 * [backup-simplify]: Simplify 0 into 0
0.772 * [backup-simplify]: Simplify 1 into 1
0.772 * [taylor]: Taking taylor expansion of n in f
0.772 * [backup-simplify]: Simplify n into n
0.772 * [taylor]: Taking taylor expansion of (+ n f) in f
0.772 * [taylor]: Taking taylor expansion of n in f
0.772 * [backup-simplify]: Simplify n into n
0.772 * [taylor]: Taking taylor expansion of f in f
0.772 * [backup-simplify]: Simplify 0 into 0
0.772 * [backup-simplify]: Simplify 1 into 1
0.772 * [backup-simplify]: Simplify (- n) into (- n)
0.772 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
0.772 * [backup-simplify]: Simplify (+ n 0) into n
0.772 * [backup-simplify]: Simplify (/ (- n) n) into -1
0.772 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f
0.772 * [taylor]: Taking taylor expansion of (- f n) in f
0.772 * [taylor]: Taking taylor expansion of f in f
0.772 * [backup-simplify]: Simplify 0 into 0
0.772 * [backup-simplify]: Simplify 1 into 1
0.772 * [taylor]: Taking taylor expansion of n in f
0.772 * [backup-simplify]: Simplify n into n
0.772 * [taylor]: Taking taylor expansion of (+ n f) in f
0.772 * [taylor]: Taking taylor expansion of n in f
0.772 * [backup-simplify]: Simplify n into n
0.772 * [taylor]: Taking taylor expansion of f in f
0.772 * [backup-simplify]: Simplify 0 into 0
0.772 * [backup-simplify]: Simplify 1 into 1
0.772 * [backup-simplify]: Simplify (- n) into (- n)
0.772 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
0.772 * [backup-simplify]: Simplify (+ n 0) into n
0.772 * [backup-simplify]: Simplify (/ (- n) n) into -1
0.772 * [taylor]: Taking taylor expansion of -1 in n
0.772 * [backup-simplify]: Simplify -1 into -1
0.772 * [backup-simplify]: Simplify -1 into -1
0.773 * [backup-simplify]: Simplify (- 0) into 0
0.773 * [backup-simplify]: Simplify (+ 1 0) into 1
0.773 * [backup-simplify]: Simplify (+ 0 1) into 1
0.773 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n))
0.773 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
0.773 * [taylor]: Taking taylor expansion of 2 in n
0.773 * [backup-simplify]: Simplify 2 into 2
0.773 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.773 * [taylor]: Taking taylor expansion of n in n
0.773 * [backup-simplify]: Simplify 0 into 0
0.773 * [backup-simplify]: Simplify 1 into 1
0.774 * [backup-simplify]: Simplify (/ 1 1) into 1
0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.774 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.774 * [backup-simplify]: Simplify 0 into 0
0.774 * [backup-simplify]: Simplify 0 into 0
0.775 * [backup-simplify]: Simplify (- 0) into 0
0.775 * [backup-simplify]: Simplify (+ 0 0) into 0
0.775 * [backup-simplify]: Simplify (+ 0 0) into 0
0.775 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2))))
0.775 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n
0.775 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
0.775 * [taylor]: Taking taylor expansion of 2 in n
0.775 * [backup-simplify]: Simplify 2 into 2
0.775 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
0.775 * [taylor]: Taking taylor expansion of (pow n 2) in n
0.775 * [taylor]: Taking taylor expansion of n in n
0.775 * [backup-simplify]: Simplify 0 into 0
0.775 * [backup-simplify]: Simplify 1 into 1
0.776 * [backup-simplify]: Simplify (* 1 1) into 1
0.776 * [backup-simplify]: Simplify (/ 1 1) into 1
0.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.778 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.778 * [backup-simplify]: Simplify (- 0) into 0
0.778 * [backup-simplify]: Simplify 0 into 0
0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.779 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.779 * [backup-simplify]: Simplify 0 into 0
0.779 * [backup-simplify]: Simplify 0 into 0
0.780 * [backup-simplify]: Simplify (- 0) into 0
0.780 * [backup-simplify]: Simplify (+ 0 0) into 0
0.780 * [backup-simplify]: Simplify (+ 0 0) into 0
0.780 * [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)))
0.781 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
0.781 * [taylor]: Taking taylor expansion of 2 in n
0.781 * [backup-simplify]: Simplify 2 into 2
0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
0.781 * [taylor]: Taking taylor expansion of (pow n 3) in n
0.781 * [taylor]: Taking taylor expansion of n in n
0.781 * [backup-simplify]: Simplify 0 into 0
0.781 * [backup-simplify]: Simplify 1 into 1
0.781 * [backup-simplify]: Simplify (* 1 1) into 1
0.781 * [backup-simplify]: Simplify (* 1 1) into 1
0.781 * [backup-simplify]: Simplify (/ 1 1) into 1
0.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.786 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.786 * [backup-simplify]: Simplify 0 into 0
0.786 * [backup-simplify]: Simplify -1 into -1
0.786 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))
0.786 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0
0.786 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n
0.787 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n
0.787 * [taylor]: Taking taylor expansion of (/ 1 f) in n
0.787 * [taylor]: Taking taylor expansion of f in n
0.787 * [backup-simplify]: Simplify f into f
0.787 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
0.787 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.787 * [taylor]: Taking taylor expansion of n in n
0.787 * [backup-simplify]: Simplify 0 into 0
0.787 * [backup-simplify]: Simplify 1 into 1
0.787 * [backup-simplify]: Simplify (/ 1 1) into 1
0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
0.787 * [taylor]: Taking taylor expansion of (/ 1 f) in n
0.787 * [taylor]: Taking taylor expansion of f in n
0.787 * [backup-simplify]: Simplify f into f
0.787 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
0.787 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.787 * [taylor]: Taking taylor expansion of n in n
0.787 * [backup-simplify]: Simplify 0 into 0
0.787 * [backup-simplify]: Simplify 1 into 1
0.787 * [backup-simplify]: Simplify (/ 1 1) into 1
0.788 * [backup-simplify]: Simplify (- 1) into -1
0.788 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.788 * [backup-simplify]: Simplify (+ 0 1) into 1
0.788 * [backup-simplify]: Simplify (/ -1 1) into -1
0.788 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f
0.788 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
0.788 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.788 * [taylor]: Taking taylor expansion of f in f
0.788 * [backup-simplify]: Simplify 0 into 0
0.788 * [backup-simplify]: Simplify 1 into 1
0.789 * [backup-simplify]: Simplify (/ 1 1) into 1
0.789 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.789 * [taylor]: Taking taylor expansion of n in f
0.789 * [backup-simplify]: Simplify n into n
0.789 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
0.789 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.789 * [taylor]: Taking taylor expansion of f in f
0.789 * [backup-simplify]: Simplify 0 into 0
0.789 * [backup-simplify]: Simplify 1 into 1
0.789 * [backup-simplify]: Simplify (/ 1 1) into 1
0.789 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.789 * [taylor]: Taking taylor expansion of n in f
0.789 * [backup-simplify]: Simplify n into n
0.789 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.789 * [backup-simplify]: Simplify (+ 1 0) into 1
0.790 * [backup-simplify]: Simplify (+ 1 0) into 1
0.790 * [backup-simplify]: Simplify (/ 1 1) into 1
0.790 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f
0.790 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
0.790 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.790 * [taylor]: Taking taylor expansion of f in f
0.790 * [backup-simplify]: Simplify 0 into 0
0.790 * [backup-simplify]: Simplify 1 into 1
0.790 * [backup-simplify]: Simplify (/ 1 1) into 1
0.790 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.790 * [taylor]: Taking taylor expansion of n in f
0.790 * [backup-simplify]: Simplify n into n
0.790 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
0.790 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.790 * [taylor]: Taking taylor expansion of f in f
0.790 * [backup-simplify]: Simplify 0 into 0
0.790 * [backup-simplify]: Simplify 1 into 1
0.791 * [backup-simplify]: Simplify (/ 1 1) into 1
0.791 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.791 * [taylor]: Taking taylor expansion of n in f
0.791 * [backup-simplify]: Simplify n into n
0.791 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.791 * [backup-simplify]: Simplify (+ 1 0) into 1
0.791 * [backup-simplify]: Simplify (+ 1 0) into 1
0.791 * [backup-simplify]: Simplify (/ 1 1) into 1
0.791 * [taylor]: Taking taylor expansion of 1 in n
0.791 * [backup-simplify]: Simplify 1 into 1
0.791 * [backup-simplify]: Simplify 1 into 1
0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.792 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
0.792 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n))
0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.792 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
0.793 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n)))
0.793 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n
0.793 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
0.793 * [taylor]: Taking taylor expansion of 2 in n
0.793 * [backup-simplify]: Simplify 2 into 2
0.793 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.793 * [taylor]: Taking taylor expansion of n in n
0.793 * [backup-simplify]: Simplify 0 into 0
0.793 * [backup-simplify]: Simplify 1 into 1
0.793 * [backup-simplify]: Simplify (/ 1 1) into 1
0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.794 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.794 * [backup-simplify]: Simplify (- 0) into 0
0.794 * [backup-simplify]: Simplify 0 into 0
0.794 * [backup-simplify]: Simplify 0 into 0
0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
0.795 * [backup-simplify]: Simplify (- 0) into 0
0.795 * [backup-simplify]: Simplify (+ 0 0) into 0
0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
0.796 * [backup-simplify]: Simplify (+ 0 0) into 0
0.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2)))
0.797 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
0.797 * [taylor]: Taking taylor expansion of 2 in n
0.797 * [backup-simplify]: Simplify 2 into 2
0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
0.797 * [taylor]: Taking taylor expansion of (pow n 2) in n
0.797 * [taylor]: Taking taylor expansion of n in n
0.797 * [backup-simplify]: Simplify 0 into 0
0.797 * [backup-simplify]: Simplify 1 into 1
0.797 * [backup-simplify]: Simplify (* 1 1) into 1
0.797 * [backup-simplify]: Simplify (/ 1 1) into 1
0.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.799 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.799 * [backup-simplify]: Simplify 0 into 0
0.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.801 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.801 * [backup-simplify]: Simplify (- 0) into 0
0.801 * [backup-simplify]: Simplify 0 into 0
0.801 * [backup-simplify]: Simplify 0 into 0
0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
0.802 * [backup-simplify]: Simplify (- 0) into 0
0.802 * [backup-simplify]: Simplify (+ 0 0) into 0
0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
0.803 * [backup-simplify]: Simplify (+ 0 0) into 0
0.804 * [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))))
0.804 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n
0.804 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
0.804 * [taylor]: Taking taylor expansion of 2 in n
0.804 * [backup-simplify]: Simplify 2 into 2
0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
0.804 * [taylor]: Taking taylor expansion of (pow n 3) in n
0.804 * [taylor]: Taking taylor expansion of n in n
0.804 * [backup-simplify]: Simplify 0 into 0
0.804 * [backup-simplify]: Simplify 1 into 1
0.804 * [backup-simplify]: Simplify (* 1 1) into 1
0.804 * [backup-simplify]: Simplify (* 1 1) into 1
0.805 * [backup-simplify]: Simplify (/ 1 1) into 1
0.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.809 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.810 * [backup-simplify]: Simplify (- 0) into 0
0.810 * [backup-simplify]: Simplify 0 into 0
0.810 * [backup-simplify]: Simplify 1 into 1
0.810 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))
0.810 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0
0.810 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n
0.810 * [taylor]: Taking taylor expansion of -1 in n
0.810 * [backup-simplify]: Simplify -1 into -1
0.810 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n
0.810 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n
0.810 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.810 * [taylor]: Taking taylor expansion of n in n
0.810 * [backup-simplify]: Simplify 0 into 0
0.810 * [backup-simplify]: Simplify 1 into 1
0.810 * [backup-simplify]: Simplify (/ 1 1) into 1
0.810 * [taylor]: Taking taylor expansion of (/ 1 f) in n
0.810 * [taylor]: Taking taylor expansion of f in n
0.810 * [backup-simplify]: Simplify f into f
0.810 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
0.810 * [taylor]: Taking taylor expansion of (/ 1 f) in n
0.810 * [taylor]: Taking taylor expansion of f in n
0.810 * [backup-simplify]: Simplify f into f
0.810 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
0.810 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.811 * [taylor]: Taking taylor expansion of n in n
0.811 * [backup-simplify]: Simplify 0 into 0
0.811 * [backup-simplify]: Simplify 1 into 1
0.811 * [backup-simplify]: Simplify (/ 1 1) into 1
0.811 * [backup-simplify]: Simplify (+ 1 0) into 1
0.811 * [backup-simplify]: Simplify (+ 0 1) into 1
0.811 * [backup-simplify]: Simplify (/ 1 1) into 1
0.811 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f
0.812 * [taylor]: Taking taylor expansion of -1 in f
0.812 * [backup-simplify]: Simplify -1 into -1
0.812 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f
0.812 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
0.812 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.812 * [taylor]: Taking taylor expansion of n in f
0.812 * [backup-simplify]: Simplify n into n
0.812 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.812 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.812 * [taylor]: Taking taylor expansion of f in f
0.812 * [backup-simplify]: Simplify 0 into 0
0.812 * [backup-simplify]: Simplify 1 into 1
0.812 * [backup-simplify]: Simplify (/ 1 1) into 1
0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
0.812 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.812 * [taylor]: Taking taylor expansion of f in f
0.812 * [backup-simplify]: Simplify 0 into 0
0.812 * [backup-simplify]: Simplify 1 into 1
0.812 * [backup-simplify]: Simplify (/ 1 1) into 1
0.812 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.812 * [taylor]: Taking taylor expansion of n in f
0.812 * [backup-simplify]: Simplify n into n
0.812 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.813 * [backup-simplify]: Simplify (- 1) into -1
0.813 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.813 * [backup-simplify]: Simplify (+ 1 0) into 1
0.813 * [backup-simplify]: Simplify (/ -1 1) into -1
0.813 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f
0.813 * [taylor]: Taking taylor expansion of -1 in f
0.813 * [backup-simplify]: Simplify -1 into -1
0.813 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f
0.813 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
0.813 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.813 * [taylor]: Taking taylor expansion of n in f
0.813 * [backup-simplify]: Simplify n into n
0.813 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.813 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.814 * [taylor]: Taking taylor expansion of f in f
0.814 * [backup-simplify]: Simplify 0 into 0
0.814 * [backup-simplify]: Simplify 1 into 1
0.814 * [backup-simplify]: Simplify (/ 1 1) into 1
0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
0.814 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.814 * [taylor]: Taking taylor expansion of f in f
0.814 * [backup-simplify]: Simplify 0 into 0
0.814 * [backup-simplify]: Simplify 1 into 1
0.814 * [backup-simplify]: Simplify (/ 1 1) into 1
0.814 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.814 * [taylor]: Taking taylor expansion of n in f
0.814 * [backup-simplify]: Simplify n into n
0.814 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.814 * [backup-simplify]: Simplify (- 1) into -1
0.815 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.815 * [backup-simplify]: Simplify (+ 1 0) into 1
0.815 * [backup-simplify]: Simplify (/ -1 1) into -1
0.815 * [backup-simplify]: Simplify (* -1 -1) into 1
0.815 * [taylor]: Taking taylor expansion of 1 in n
0.815 * [backup-simplify]: Simplify 1 into 1
0.815 * [backup-simplify]: Simplify 1 into 1
0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.816 * [backup-simplify]: Simplify (- 0) into 0
0.816 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.817 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
0.817 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n))
0.817 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n)))
0.817 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n
0.817 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
0.817 * [taylor]: Taking taylor expansion of 2 in n
0.817 * [backup-simplify]: Simplify 2 into 2
0.817 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.817 * [taylor]: Taking taylor expansion of n in n
0.817 * [backup-simplify]: Simplify 0 into 0
0.817 * [backup-simplify]: Simplify 1 into 1
0.817 * [backup-simplify]: Simplify (/ 1 1) into 1
0.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.818 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.818 * [backup-simplify]: Simplify (- 0) into 0
0.818 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify 0 into 0
0.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.819 * [backup-simplify]: Simplify (- 0) into 0
0.819 * [backup-simplify]: Simplify (+ 0 0) into 0
0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
0.820 * [backup-simplify]: Simplify (+ 0 0) into 0
0.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2))))
0.822 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2)))
0.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
0.822 * [taylor]: Taking taylor expansion of 2 in n
0.822 * [backup-simplify]: Simplify 2 into 2
0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
0.822 * [taylor]: Taking taylor expansion of (pow n 2) in n
0.822 * [taylor]: Taking taylor expansion of n in n
0.822 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify 1 into 1
0.822 * [backup-simplify]: Simplify (* 1 1) into 1
0.822 * [backup-simplify]: Simplify (/ 1 1) into 1
0.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.824 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.824 * [backup-simplify]: Simplify 0 into 0
0.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.825 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.826 * [backup-simplify]: Simplify (- 0) into 0
0.826 * [backup-simplify]: Simplify 0 into 0
0.826 * [backup-simplify]: Simplify 0 into 0
0.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
0.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.827 * [backup-simplify]: Simplify (- 0) into 0
0.827 * [backup-simplify]: Simplify (+ 0 0) into 0
0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
0.828 * [backup-simplify]: Simplify (+ 0 0) into 0
0.829 * [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)))
0.829 * [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))))
0.829 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n
0.829 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
0.829 * [taylor]: Taking taylor expansion of 2 in n
0.829 * [backup-simplify]: Simplify 2 into 2
0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
0.829 * [taylor]: Taking taylor expansion of (pow n 3) in n
0.829 * [taylor]: Taking taylor expansion of n in n
0.829 * [backup-simplify]: Simplify 0 into 0
0.829 * [backup-simplify]: Simplify 1 into 1
0.830 * [backup-simplify]: Simplify (* 1 1) into 1
0.830 * [backup-simplify]: Simplify (* 1 1) into 1
0.830 * [backup-simplify]: Simplify (/ 1 1) into 1
0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.835 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.835 * [backup-simplify]: Simplify (- 0) into 0
0.835 * [backup-simplify]: Simplify 0 into 0
0.835 * [backup-simplify]: Simplify 1 into 1
0.835 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.835 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n)))
0.835 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0
0.835 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n
0.835 * [taylor]: Taking taylor expansion of -1 in n
0.835 * [backup-simplify]: Simplify -1 into -1
0.835 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n
0.835 * [taylor]: Taking taylor expansion of (+ n f) in n
0.835 * [taylor]: Taking taylor expansion of n in n
0.835 * [backup-simplify]: Simplify 0 into 0
0.835 * [backup-simplify]: Simplify 1 into 1
0.835 * [taylor]: Taking taylor expansion of f in n
0.835 * [backup-simplify]: Simplify f into f
0.835 * [taylor]: Taking taylor expansion of (- f n) in n
0.835 * [taylor]: Taking taylor expansion of f in n
0.835 * [backup-simplify]: Simplify f into f
0.835 * [taylor]: Taking taylor expansion of n in n
0.835 * [backup-simplify]: Simplify 0 into 0
0.835 * [backup-simplify]: Simplify 1 into 1
0.836 * [backup-simplify]: Simplify (+ 0 f) into f
0.836 * [backup-simplify]: Simplify (- 0) into 0
0.836 * [backup-simplify]: Simplify (+ f 0) into f
0.836 * [backup-simplify]: Simplify (/ f f) into 1
0.836 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f
0.836 * [taylor]: Taking taylor expansion of -1 in f
0.836 * [backup-simplify]: Simplify -1 into -1
0.836 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f
0.836 * [taylor]: Taking taylor expansion of (+ n f) in f
0.836 * [taylor]: Taking taylor expansion of n in f
0.836 * [backup-simplify]: Simplify n into n
0.836 * [taylor]: Taking taylor expansion of f in f
0.836 * [backup-simplify]: Simplify 0 into 0
0.836 * [backup-simplify]: Simplify 1 into 1
0.836 * [taylor]: Taking taylor expansion of (- f n) in f
0.836 * [taylor]: Taking taylor expansion of f in f
0.836 * [backup-simplify]: Simplify 0 into 0
0.836 * [backup-simplify]: Simplify 1 into 1
0.836 * [taylor]: Taking taylor expansion of n in f
0.836 * [backup-simplify]: Simplify n into n
0.836 * [backup-simplify]: Simplify (+ n 0) into n
0.836 * [backup-simplify]: Simplify (- n) into (- n)
0.836 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
0.836 * [backup-simplify]: Simplify (/ n (- n)) into -1
0.836 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f
0.836 * [taylor]: Taking taylor expansion of -1 in f
0.836 * [backup-simplify]: Simplify -1 into -1
0.836 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f
0.836 * [taylor]: Taking taylor expansion of (+ n f) in f
0.836 * [taylor]: Taking taylor expansion of n in f
0.836 * [backup-simplify]: Simplify n into n
0.836 * [taylor]: Taking taylor expansion of f in f
0.836 * [backup-simplify]: Simplify 0 into 0
0.836 * [backup-simplify]: Simplify 1 into 1
0.836 * [taylor]: Taking taylor expansion of (- f n) in f
0.836 * [taylor]: Taking taylor expansion of f in f
0.836 * [backup-simplify]: Simplify 0 into 0
0.836 * [backup-simplify]: Simplify 1 into 1
0.836 * [taylor]: Taking taylor expansion of n in f
0.836 * [backup-simplify]: Simplify n into n
0.836 * [backup-simplify]: Simplify (+ n 0) into n
0.836 * [backup-simplify]: Simplify (- n) into (- n)
0.837 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
0.837 * [backup-simplify]: Simplify (/ n (- n)) into -1
0.837 * [backup-simplify]: Simplify (* -1 -1) into 1
0.837 * [taylor]: Taking taylor expansion of 1 in n
0.837 * [backup-simplify]: Simplify 1 into 1
0.837 * [backup-simplify]: Simplify 1 into 1
0.837 * [backup-simplify]: Simplify (+ 0 1) into 1
0.837 * [backup-simplify]: Simplify (- 0) into 0
0.838 * [backup-simplify]: Simplify (+ 1 0) into 1
0.838 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n)))
0.838 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n))
0.838 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
0.838 * [taylor]: Taking taylor expansion of 2 in n
0.838 * [backup-simplify]: Simplify 2 into 2
0.838 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.838 * [taylor]: Taking taylor expansion of n in n
0.838 * [backup-simplify]: Simplify 0 into 0
0.838 * [backup-simplify]: Simplify 1 into 1
0.838 * [backup-simplify]: Simplify (/ 1 1) into 1
0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.839 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.839 * [backup-simplify]: Simplify 0 into 0
0.839 * [backup-simplify]: Simplify 0 into 0
0.839 * [backup-simplify]: Simplify (+ 0 0) into 0
0.840 * [backup-simplify]: Simplify (- 0) into 0
0.845 * [backup-simplify]: Simplify (+ 0 0) into 0
0.845 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2))))
0.846 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2)))
0.846 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
0.846 * [taylor]: Taking taylor expansion of 2 in n
0.846 * [backup-simplify]: Simplify 2 into 2
0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
0.846 * [taylor]: Taking taylor expansion of (pow n 2) in n
0.846 * [taylor]: Taking taylor expansion of n in n
0.846 * [backup-simplify]: Simplify 0 into 0
0.846 * [backup-simplify]: Simplify 1 into 1
0.847 * [backup-simplify]: Simplify (* 1 1) into 1
0.847 * [backup-simplify]: Simplify (/ 1 1) into 1
0.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.849 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.849 * [backup-simplify]: Simplify 0 into 0
0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.851 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.851 * [backup-simplify]: Simplify 0 into 0
0.851 * [backup-simplify]: Simplify 0 into 0
0.851 * [backup-simplify]: Simplify (+ 0 0) into 0
0.851 * [backup-simplify]: Simplify (- 0) into 0
0.852 * [backup-simplify]: Simplify (+ 0 0) into 0
0.852 * [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))))
0.853 * [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)))
0.853 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
0.853 * [taylor]: Taking taylor expansion of 2 in n
0.853 * [backup-simplify]: Simplify 2 into 2
0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
0.853 * [taylor]: Taking taylor expansion of (pow n 3) in n
0.853 * [taylor]: Taking taylor expansion of n in n
0.853 * [backup-simplify]: Simplify 0 into 0
0.853 * [backup-simplify]: Simplify 1 into 1
0.853 * [backup-simplify]: Simplify (* 1 1) into 1
0.853 * [backup-simplify]: Simplify (* 1 1) into 1
0.854 * [backup-simplify]: Simplify (/ 1 1) into 1
0.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.858 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.858 * [backup-simplify]: Simplify 0 into 0
0.858 * [backup-simplify]: Simplify 1 into 1
0.859 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))
0.859 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0
0.859 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n
0.859 * [taylor]: Taking taylor expansion of -1 in n
0.859 * [backup-simplify]: Simplify -1 into -1
0.859 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n
0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
0.859 * [taylor]: Taking taylor expansion of (/ 1 f) in n
0.859 * [taylor]: Taking taylor expansion of f in n
0.859 * [backup-simplify]: Simplify f into f
0.859 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
0.859 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.859 * [taylor]: Taking taylor expansion of n in n
0.859 * [backup-simplify]: Simplify 0 into 0
0.859 * [backup-simplify]: Simplify 1 into 1
0.859 * [backup-simplify]: Simplify (/ 1 1) into 1
0.859 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n
0.859 * [taylor]: Taking taylor expansion of (/ 1 f) in n
0.859 * [taylor]: Taking taylor expansion of f in n
0.859 * [backup-simplify]: Simplify f into f
0.859 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
0.859 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.859 * [taylor]: Taking taylor expansion of n in n
0.859 * [backup-simplify]: Simplify 0 into 0
0.859 * [backup-simplify]: Simplify 1 into 1
0.860 * [backup-simplify]: Simplify (/ 1 1) into 1
0.860 * [backup-simplify]: Simplify (+ 0 1) into 1
0.860 * [backup-simplify]: Simplify (- 1) into -1
0.860 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.861 * [backup-simplify]: Simplify (/ 1 -1) into -1
0.861 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f
0.861 * [taylor]: Taking taylor expansion of -1 in f
0.861 * [backup-simplify]: Simplify -1 into -1
0.861 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f
0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
0.861 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.861 * [taylor]: Taking taylor expansion of f in f
0.861 * [backup-simplify]: Simplify 0 into 0
0.861 * [backup-simplify]: Simplify 1 into 1
0.861 * [backup-simplify]: Simplify (/ 1 1) into 1
0.861 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.861 * [taylor]: Taking taylor expansion of n in f
0.861 * [backup-simplify]: Simplify n into n
0.861 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.861 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
0.861 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.861 * [taylor]: Taking taylor expansion of f in f
0.861 * [backup-simplify]: Simplify 0 into 0
0.861 * [backup-simplify]: Simplify 1 into 1
0.861 * [backup-simplify]: Simplify (/ 1 1) into 1
0.861 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.861 * [taylor]: Taking taylor expansion of n in f
0.861 * [backup-simplify]: Simplify n into n
0.861 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.862 * [backup-simplify]: Simplify (+ 1 0) into 1
0.862 * [backup-simplify]: Simplify (+ 1 0) into 1
0.862 * [backup-simplify]: Simplify (/ 1 1) into 1
0.862 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f
0.862 * [taylor]: Taking taylor expansion of -1 in f
0.862 * [backup-simplify]: Simplify -1 into -1
0.862 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f
0.862 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
0.862 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.862 * [taylor]: Taking taylor expansion of f in f
0.862 * [backup-simplify]: Simplify 0 into 0
0.862 * [backup-simplify]: Simplify 1 into 1
0.863 * [backup-simplify]: Simplify (/ 1 1) into 1
0.863 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.863 * [taylor]: Taking taylor expansion of n in f
0.863 * [backup-simplify]: Simplify n into n
0.863 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.863 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
0.863 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.863 * [taylor]: Taking taylor expansion of f in f
0.863 * [backup-simplify]: Simplify 0 into 0
0.863 * [backup-simplify]: Simplify 1 into 1
0.863 * [backup-simplify]: Simplify (/ 1 1) into 1
0.863 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.863 * [taylor]: Taking taylor expansion of n in f
0.863 * [backup-simplify]: Simplify n into n
0.863 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.863 * [backup-simplify]: Simplify (+ 1 0) into 1
0.864 * [backup-simplify]: Simplify (+ 1 0) into 1
0.864 * [backup-simplify]: Simplify (/ 1 1) into 1
0.864 * [backup-simplify]: Simplify (* -1 1) into -1
0.864 * [taylor]: Taking taylor expansion of -1 in n
0.864 * [backup-simplify]: Simplify -1 into -1
0.864 * [backup-simplify]: Simplify -1 into -1
0.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.865 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
0.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.865 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
0.865 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n))
0.865 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n))
0.866 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n)))
0.866 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n
0.866 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
0.866 * [taylor]: Taking taylor expansion of 2 in n
0.866 * [backup-simplify]: Simplify 2 into 2
0.866 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.866 * [taylor]: Taking taylor expansion of n in n
0.866 * [backup-simplify]: Simplify 0 into 0
0.866 * [backup-simplify]: Simplify 1 into 1
0.866 * [backup-simplify]: Simplify (/ 1 1) into 1
0.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.867 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.867 * [backup-simplify]: Simplify (- 0) into 0
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify 0 into 0
0.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
0.868 * [backup-simplify]: Simplify (+ 0 0) into 0
0.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
0.869 * [backup-simplify]: Simplify (- 0) into 0
0.869 * [backup-simplify]: Simplify (+ 0 0) into 0
0.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2)))
0.870 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2))))
0.870 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n
0.870 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
0.870 * [taylor]: Taking taylor expansion of 2 in n
0.870 * [backup-simplify]: Simplify 2 into 2
0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
0.870 * [taylor]: Taking taylor expansion of (pow n 2) in n
0.870 * [taylor]: Taking taylor expansion of n in n
0.870 * [backup-simplify]: Simplify 0 into 0
0.870 * [backup-simplify]: Simplify 1 into 1
0.871 * [backup-simplify]: Simplify (* 1 1) into 1
0.871 * [backup-simplify]: Simplify (/ 1 1) into 1
0.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.873 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.873 * [backup-simplify]: Simplify (- 0) into 0
0.873 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.874 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.875 * [backup-simplify]: Simplify (- 0) into 0
0.875 * [backup-simplify]: Simplify 0 into 0
0.875 * [backup-simplify]: Simplify 0 into 0
0.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
0.875 * [backup-simplify]: Simplify (+ 0 0) into 0
0.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
0.876 * [backup-simplify]: Simplify (- 0) into 0
0.876 * [backup-simplify]: Simplify (+ 0 0) into 0
0.878 * [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)))
0.878 * [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))))
0.878 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n
0.878 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
0.878 * [taylor]: Taking taylor expansion of 2 in n
0.878 * [backup-simplify]: Simplify 2 into 2
0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
0.878 * [taylor]: Taking taylor expansion of (pow n 3) in n
0.878 * [taylor]: Taking taylor expansion of n in n
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify 1 into 1
0.878 * [backup-simplify]: Simplify (* 1 1) into 1
0.879 * [backup-simplify]: Simplify (* 1 1) into 1
0.879 * [backup-simplify]: Simplify (/ 1 1) into 1
0.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.884 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.884 * [backup-simplify]: Simplify (- 0) into 0
0.884 * [backup-simplify]: Simplify 0 into 0
0.884 * [backup-simplify]: Simplify -1 into -1
0.884 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))
0.884 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0
0.884 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n
0.884 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
0.884 * [taylor]: Taking taylor expansion of (/ 1 f) in n
0.884 * [taylor]: Taking taylor expansion of f in n
0.884 * [backup-simplify]: Simplify f into f
0.884 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
0.884 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.884 * [taylor]: Taking taylor expansion of n in n
0.884 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 1 into 1
0.885 * [backup-simplify]: Simplify (/ 1 1) into 1
0.885 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n
0.885 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.885 * [taylor]: Taking taylor expansion of n in n
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 1 into 1
0.885 * [backup-simplify]: Simplify (/ 1 1) into 1
0.885 * [taylor]: Taking taylor expansion of (/ 1 f) in n
0.885 * [taylor]: Taking taylor expansion of f in n
0.885 * [backup-simplify]: Simplify f into f
0.885 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
0.885 * [backup-simplify]: Simplify (+ 0 1) into 1
0.886 * [backup-simplify]: Simplify (+ 1 0) into 1
0.886 * [backup-simplify]: Simplify (/ 1 1) into 1
0.886 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f
0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
0.886 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.886 * [taylor]: Taking taylor expansion of f in f
0.886 * [backup-simplify]: Simplify 0 into 0
0.886 * [backup-simplify]: Simplify 1 into 1
0.886 * [backup-simplify]: Simplify (/ 1 1) into 1
0.886 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.886 * [taylor]: Taking taylor expansion of n in f
0.886 * [backup-simplify]: Simplify n into n
0.886 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.886 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
0.886 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.886 * [taylor]: Taking taylor expansion of n in f
0.886 * [backup-simplify]: Simplify n into n
0.886 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.886 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.886 * [taylor]: Taking taylor expansion of f in f
0.886 * [backup-simplify]: Simplify 0 into 0
0.886 * [backup-simplify]: Simplify 1 into 1
0.887 * [backup-simplify]: Simplify (/ 1 1) into 1
0.887 * [backup-simplify]: Simplify (+ 1 0) into 1
0.887 * [backup-simplify]: Simplify (- 1) into -1
0.887 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.888 * [backup-simplify]: Simplify (/ 1 -1) into -1
0.888 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f
0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
0.888 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.888 * [taylor]: Taking taylor expansion of f in f
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [backup-simplify]: Simplify 1 into 1
0.888 * [backup-simplify]: Simplify (/ 1 1) into 1
0.888 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.888 * [taylor]: Taking taylor expansion of n in f
0.888 * [backup-simplify]: Simplify n into n
0.888 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.888 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
0.888 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.888 * [taylor]: Taking taylor expansion of n in f
0.888 * [backup-simplify]: Simplify n into n
0.888 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.888 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.888 * [taylor]: Taking taylor expansion of f in f
0.888 * [backup-simplify]: Simplify 0 into 0
0.888 * [backup-simplify]: Simplify 1 into 1
0.888 * [backup-simplify]: Simplify (/ 1 1) into 1
0.889 * [backup-simplify]: Simplify (+ 1 0) into 1
0.889 * [backup-simplify]: Simplify (- 1) into -1
0.889 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.889 * [backup-simplify]: Simplify (/ 1 -1) into -1
0.889 * [taylor]: Taking taylor expansion of -1 in n
0.890 * [backup-simplify]: Simplify -1 into -1
0.890 * [backup-simplify]: Simplify -1 into -1
0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.890 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.891 * [backup-simplify]: Simplify (- 0) into 0
0.891 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
0.891 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n)))
0.891 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n
0.891 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
0.891 * [taylor]: Taking taylor expansion of 2 in n
0.891 * [backup-simplify]: Simplify 2 into 2
0.891 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.891 * [taylor]: Taking taylor expansion of n in n
0.891 * [backup-simplify]: Simplify 0 into 0
0.891 * [backup-simplify]: Simplify 1 into 1
0.891 * [backup-simplify]: Simplify (/ 1 1) into 1
0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.892 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.892 * [backup-simplify]: Simplify (- 0) into 0
0.892 * [backup-simplify]: Simplify 0 into 0
0.892 * [backup-simplify]: Simplify 0 into 0
0.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
0.893 * [backup-simplify]: Simplify (+ 0 0) into 0
0.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.894 * [backup-simplify]: Simplify (- 0) into 0
0.894 * [backup-simplify]: Simplify (+ 0 0) into 0
0.895 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2))))
0.895 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n
0.895 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
0.895 * [taylor]: Taking taylor expansion of 2 in n
0.895 * [backup-simplify]: Simplify 2 into 2
0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
0.895 * [taylor]: Taking taylor expansion of (pow n 2) in n
0.895 * [taylor]: Taking taylor expansion of n in n
0.895 * [backup-simplify]: Simplify 0 into 0
0.895 * [backup-simplify]: Simplify 1 into 1
0.895 * [backup-simplify]: Simplify (* 1 1) into 1
0.895 * [backup-simplify]: Simplify (/ 1 1) into 1
0.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.898 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.898 * [backup-simplify]: Simplify (- 0) into 0
0.898 * [backup-simplify]: Simplify 0 into 0
0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.899 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.899 * [backup-simplify]: Simplify (- 0) into 0
0.899 * [backup-simplify]: Simplify 0 into 0
0.899 * [backup-simplify]: Simplify 0 into 0
0.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
0.900 * [backup-simplify]: Simplify (+ 0 0) into 0
0.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.901 * [backup-simplify]: Simplify (- 0) into 0
0.901 * [backup-simplify]: Simplify (+ 0 0) into 0
0.902 * [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))))
0.902 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n
0.902 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
0.902 * [taylor]: Taking taylor expansion of 2 in n
0.903 * [backup-simplify]: Simplify 2 into 2
0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
0.903 * [taylor]: Taking taylor expansion of (pow n 3) in n
0.903 * [taylor]: Taking taylor expansion of n in n
0.903 * [backup-simplify]: Simplify 0 into 0
0.903 * [backup-simplify]: Simplify 1 into 1
0.903 * [backup-simplify]: Simplify (* 1 1) into 1
0.903 * [backup-simplify]: Simplify (* 1 1) into 1
0.903 * [backup-simplify]: Simplify (/ 1 1) into 1
0.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.908 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.908 * [backup-simplify]: Simplify (- 0) into 0
0.908 * [backup-simplify]: Simplify 0 into 0
0.908 * [backup-simplify]: Simplify -1 into -1
0.908 * * * [progress]: simplifying candidates
0.911 * [simplify]: Simplifying:
  (expm1 (/ (- f n) (+ f n)))
  (log1p (/ (- f n) (+ f n)))
  (- (log (- f n)) (log (+ f n)))
  (log (/ (- f n) (+ f n)))
  (exp (/ (- f n) (+ f n)))
  (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))
  (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))
  (cbrt (/ (- f n) (+ f n)))
  (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))
  (sqrt (/ (- f n) (+ f n)))
  (sqrt (/ (- f n) (+ f n)))
  (- (- f n))
  (- (+ f n))
  (/ f (+ f n))
  (/ n (+ f n))
  (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))
  (/ (cbrt (- f n)) (cbrt (+ f n)))
  (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))
  (/ (cbrt (- f n)) (sqrt (+ f n)))
  (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)
  (/ (cbrt (- f n)) (+ f n))
  (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)
  (/ (cbrt (- f n)) (+ f n))
  (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))
  (/ (sqrt (- f n)) (cbrt (+ f n)))
  (/ (sqrt (- f n)) (sqrt (+ f n)))
  (/ (sqrt (- f n)) (sqrt (+ f n)))
  (/ (sqrt (- f n)) 1)
  (/ (sqrt (- f n)) (+ f n))
  (/ (sqrt (- f n)) 1)
  (/ (sqrt (- f n)) (+ f n))
  (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))
  (/ (- f n) (cbrt (+ f n)))
  (/ 1 (sqrt (+ f n)))
  (/ (- f n) (sqrt (+ f n)))
  (/ 1 1)
  (/ (- f n) (+ f n))
  (/ 1 1)
  (/ (- f n) (+ f n))
  (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))
  (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))
  (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))
  (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))
  (/ (+ (sqrt f) (sqrt n)) 1)
  (/ (- (sqrt f) (sqrt n)) (+ f n))
  (/ (+ (sqrt f) (sqrt n)) 1)
  (/ (- (sqrt f) (sqrt n)) (+ f n))
  (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))
  (/ (- f n) (cbrt (+ f n)))
  (/ 1 (sqrt (+ f n)))
  (/ (- f n) (sqrt (+ f n)))
  (/ 1 1)
  (/ (- f n) (+ f n))
  (/ 1 1)
  (/ (- f n) (+ f n))
  (/ 1 (+ f n))
  (/ (+ f n) (- f n))
  (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n))))
  (/ (- f n) (sqrt (+ f n)))
  (/ (- f n) 1)
  (/ (- f n) 1)
  (/ (+ f n) (cbrt (- f n)))
  (/ (+ f n) (sqrt (- f n)))
  (/ (+ f n) (- f n))
  (/ (+ f n) (- (sqrt f) (sqrt n)))
  (/ (+ f n) (- f n))
  (/ (- f n) (+ (pow f 3) (pow n 3)))
  (/ (- f n) (- (* f f) (* n n)))
  (* (+ f n) (+ (* f f) (+ (* n n) (* f n))))
  (* (+ f n) (+ f n))
  (expm1 (/ -1 (/ (- f n) (+ f n))))
  (log1p (/ -1 (/ (- f n) (+ f n))))
  (- (log -1) (- (log (- f n)) (log (+ f n))))
  (- (log -1) (log (/ (- f n) (+ f n))))
  (log (/ -1 (/ (- f n) (+ f n))))
  (exp (/ -1 (/ (- f n) (+ f n))))
  (/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))))
  (/ (* (* -1 -1) -1) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))))
  (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n)))))
  (cbrt (/ -1 (/ (- f n) (+ f n))))
  (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n))))
  (sqrt (/ -1 (/ (- f n) (+ f n))))
  (sqrt (/ -1 (/ (- f n) (+ f n))))
  (- -1)
  (- (/ (- f n) (+ f n)))
  (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))))
  (/ (cbrt -1) (cbrt (/ (- f n) (+ f n))))
  (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n))))
  (/ (cbrt -1) (sqrt (/ (- f n) (+ f n))))
  (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ (cbrt -1) (/ (cbrt (- f n)) (cbrt (+ f n))))
  (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))))
  (/ (cbrt -1) (/ (cbrt (- f n)) (sqrt (+ f n))))
  (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1))
  (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n)))
  (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1))
  (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n)))
  (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt (+ f n))))
  (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (sqrt (+ f n))))
  (/ (cbrt -1) (/ (sqrt (- f n)) (sqrt (+ f n))))
  (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1))
  (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n)))
  (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1))
  (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n)))
  (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ (cbrt -1) (/ (- f n) (cbrt (+ f n))))
  (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n))))
  (/ (cbrt -1) (/ (- f n) (sqrt (+ f n))))
  (/ (* (cbrt -1) (cbrt -1)) (/ 1 1))
  (/ (cbrt -1) (/ (- f n) (+ f n)))
  (/ (* (cbrt -1) (cbrt -1)) (/ 1 1))
  (/ (cbrt -1) (/ (- f n) (+ f n)))
  (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))))
  (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))))
  (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))))
  (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1))
  (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n)))
  (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1))
  (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n)))
  (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ (cbrt -1) (/ (- f n) (cbrt (+ f n))))
  (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n))))
  (/ (cbrt -1) (/ (- f n) (sqrt (+ f n))))
  (/ (* (cbrt -1) (cbrt -1)) (/ 1 1))
  (/ (cbrt -1) (/ (- f n) (+ f n)))
  (/ (* (cbrt -1) (cbrt -1)) (/ 1 1))
  (/ (cbrt -1) (/ (- f n) (+ f n)))
  (/ (* (cbrt -1) (cbrt -1)) 1)
  (/ (cbrt -1) (/ (- f n) (+ f n)))
  (/ (* (cbrt -1) (cbrt -1)) (- f n))
  (/ (cbrt -1) (/ 1 (+ f n)))
  (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (+ (pow f 3) (pow n 3))))
  (/ (cbrt -1) (+ (* f f) (- (* n n) (* f n))))
  (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n))))
  (/ (cbrt -1) (- f n))
  (/ (sqrt -1) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))))
  (/ (sqrt -1) (cbrt (/ (- f n) (+ f n))))
  (/ (sqrt -1) (sqrt (/ (- f n) (+ f n))))
  (/ (sqrt -1) (sqrt (/ (- f n) (+ f n))))
  (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ (sqrt -1) (/ (cbrt (- f n)) (cbrt (+ f n))))
  (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))))
  (/ (sqrt -1) (/ (cbrt (- f n)) (sqrt (+ f n))))
  (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1))
  (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n)))
  (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1))
  (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n)))
  (/ (sqrt -1) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ (sqrt -1) (/ (sqrt (- f n)) (cbrt (+ f n))))
  (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n))))
  (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n))))
  (/ (sqrt -1) (/ (sqrt (- f n)) 1))
  (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n)))
  (/ (sqrt -1) (/ (sqrt (- f n)) 1))
  (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n)))
  (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ (sqrt -1) (/ (- f n) (cbrt (+ f n))))
  (/ (sqrt -1) (/ 1 (sqrt (+ f n))))
  (/ (sqrt -1) (/ (- f n) (sqrt (+ f n))))
  (/ (sqrt -1) (/ 1 1))
  (/ (sqrt -1) (/ (- f n) (+ f n)))
  (/ (sqrt -1) (/ 1 1))
  (/ (sqrt -1) (/ (- f n) (+ f n)))
  (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))))
  (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))))
  (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))))
  (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1))
  (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n)))
  (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1))
  (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n)))
  (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ (sqrt -1) (/ (- f n) (cbrt (+ f n))))
  (/ (sqrt -1) (/ 1 (sqrt (+ f n))))
  (/ (sqrt -1) (/ (- f n) (sqrt (+ f n))))
  (/ (sqrt -1) (/ 1 1))
  (/ (sqrt -1) (/ (- f n) (+ f n)))
  (/ (sqrt -1) (/ 1 1))
  (/ (sqrt -1) (/ (- f n) (+ f n)))
  (/ (sqrt -1) 1)
  (/ (sqrt -1) (/ (- f n) (+ f n)))
  (/ (sqrt -1) (- f n))
  (/ (sqrt -1) (/ 1 (+ f n)))
  (/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3))))
  (/ (sqrt -1) (+ (* f f) (- (* n n) (* f n))))
  (/ (sqrt -1) (/ (- f n) (- (* f f) (* n n))))
  (/ (sqrt -1) (- f n))
  (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))))
  (/ -1 (cbrt (/ (- f n) (+ f n))))
  (/ 1 (sqrt (/ (- f n) (+ f n))))
  (/ -1 (sqrt (/ (- f n) (+ f n))))
  (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ -1 (/ (cbrt (- f n)) (cbrt (+ f n))))
  (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))))
  (/ -1 (/ (cbrt (- f n)) (sqrt (+ f n))))
  (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1))
  (/ -1 (/ (cbrt (- f n)) (+ f n)))
  (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1))
  (/ -1 (/ (cbrt (- f n)) (+ f n)))
  (/ 1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ -1 (/ (sqrt (- f n)) (cbrt (+ f n))))
  (/ 1 (/ (sqrt (- f n)) (sqrt (+ f n))))
  (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n))))
  (/ 1 (/ (sqrt (- f n)) 1))
  (/ -1 (/ (sqrt (- f n)) (+ f n)))
  (/ 1 (/ (sqrt (- f n)) 1))
  (/ -1 (/ (sqrt (- f n)) (+ f n)))
  (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ -1 (/ (- f n) (cbrt (+ f n))))
  (/ 1 (/ 1 (sqrt (+ f n))))
  (/ -1 (/ (- f n) (sqrt (+ f n))))
  (/ 1 (/ 1 1))
  (/ -1 (/ (- f n) (+ f n)))
  (/ 1 (/ 1 1))
  (/ -1 (/ (- f n) (+ f n)))
  (/ 1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ -1 (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))))
  (/ 1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))))
  (/ -1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))))
  (/ 1 (/ (+ (sqrt f) (sqrt n)) 1))
  (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n)))
  (/ 1 (/ (+ (sqrt f) (sqrt n)) 1))
  (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n)))
  (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ -1 (/ (- f n) (cbrt (+ f n))))
  (/ 1 (/ 1 (sqrt (+ f n))))
  (/ -1 (/ (- f n) (sqrt (+ f n))))
  (/ 1 (/ 1 1))
  (/ -1 (/ (- f n) (+ f n)))
  (/ 1 (/ 1 1))
  (/ -1 (/ (- f n) (+ f n)))
  (/ 1 1)
  (/ -1 (/ (- f n) (+ f n)))
  (/ 1 (- f n))
  (/ -1 (/ 1 (+ f n)))
  (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3))))
  (/ -1 (+ (* f f) (- (* n n) (* f n))))
  (/ 1 (/ (- f n) (- (* f f) (* n n))))
  (/ -1 (- f n))
  (/ 1 (/ (- f n) (+ f n)))
  (/ (/ (- f n) (+ f n)) -1)
  (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))))
  (/ -1 (sqrt (/ (- f n) (+ f n))))
  (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))))
  (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1))
  (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1))
  (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n))))
  (/ -1 (/ (sqrt (- f n)) 1))
  (/ -1 (/ (sqrt (- f n)) 1))
  (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ -1 (/ 1 (sqrt (+ f n))))
  (/ -1 (/ 1 1))
  (/ -1 (/ 1 1))
  (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))))
  (/ -1 (/ (+ (sqrt f) (sqrt n)) 1))
  (/ -1 (/ (+ (sqrt f) (sqrt n)) 1))
  (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))
  (/ -1 (/ 1 (sqrt (+ f n))))
  (/ -1 (/ 1 1))
  (/ -1 (/ 1 1))
  (/ -1 1)
  (/ -1 (- f n))
  (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3))))
  (/ -1 (/ (- f n) (- (* f f) (* n n))))
  (/ (/ (- f n) (+ f n)) (cbrt -1))
  (/ (/ (- f n) (+ f n)) (sqrt -1))
  (/ (/ (- f n) (+ f n)) -1)
  (/ -1 (- f n))
  -1
  1
  1
  1
  -1
  -1
0.912 * [simplify]: Sending expressions to egg_math:
 (expm1 (/ (- h1 h0) (+ h1 h0)))
 (log1p (/ (- h1 h0) (+ h1 h0)))
 (- (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))
 (/ h1 (+ h1 h0))
 (/ 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))) 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)) 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 1)
 (/ (- h1 h0) (+ h1 h0))
 (/ (+ (sqrt h1) (sqrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))
 (/ (- (sqrt h1) (sqrt h0)) (cbrt (+ h1 h0)))
 (/ (+ (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))
 (/ (- (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))
 (/ (+ (sqrt h1) (sqrt h0)) 1)
 (/ (- (sqrt h1) (sqrt h0)) (+ h1 h0))
 (/ (+ (sqrt h1) (sqrt h0)) 1)
 (/ (- (sqrt h1) (sqrt 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 1)
 (/ (- h1 h0) (+ h1 h0))
 (/ 1 (+ h1 h0))
 (/ (+ h1 h0) (- h1 h0))
 (/ (- h1 h0) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))
 (/ (- h1 h0) (sqrt (+ h1 h0)))
 (/ (- h1 h0) 1)
 (/ (- h1 h0) 1)
 (/ (+ h1 h0) (cbrt (- h1 h0)))
 (/ (+ h1 h0) (sqrt (- h1 h0)))
 (/ (+ h1 h0) (- h1 h0))
 (/ (+ h1 h0) (- (sqrt h1) (sqrt 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))
 (expm1 (/ -1 (/ (- h1 h0) (+ h1 h0))))
 (log1p (/ -1 (/ (- h1 h0) (+ h1 h0))))
 (- (log -1) (- (log (- h1 h0)) (log (+ h1 h0))))
 (- (log -1) (log (/ (- h1 h0) (+ h1 h0))))
 (log (/ -1 (/ (- h1 h0) (+ h1 h0))))
 (exp (/ -1 (/ (- h1 h0) (+ h1 h0))))
 (/ (* (* -1 -1) -1) (/ (* (* (- h1 h0) (- h1 h0)) (- h1 h0)) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))))
 (/ (* (* -1 -1) -1) (* (* (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (+ h1 h0))) (/ (- h1 h0) (+ h1 h0))))
 (* (cbrt (/ -1 (/ (- h1 h0) (+ h1 h0)))) (cbrt (/ -1 (/ (- h1 h0) (+ h1 h0)))))
 (cbrt (/ -1 (/ (- h1 h0) (+ h1 h0))))
 (* (* (/ -1 (/ (- h1 h0) (+ h1 h0))) (/ -1 (/ (- h1 h0) (+ h1 h0)))) (/ -1 (/ (- h1 h0) (+ h1 h0))))
 (sqrt (/ -1 (/ (- h1 h0) (+ h1 h0))))
 (sqrt (/ -1 (/ (- h1 h0) (+ h1 h0))))
 (- -1)
 (- (/ (- h1 h0) (+ h1 h0)))
 (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- h1 h0) (+ h1 h0))) (cbrt (/ (- h1 h0) (+ h1 h0)))))
 (/ (cbrt -1) (cbrt (/ (- h1 h0) (+ h1 h0))))
 (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- h1 h0) (+ h1 h0))))
 (/ (cbrt -1) (sqrt (/ (- h1 h0) (+ h1 h0))))
 (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))))
 (/ (cbrt -1) (/ (cbrt (- h1 h0)) (cbrt (+ h1 h0))))
 (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (sqrt (+ h1 h0))))
 (/ (cbrt -1) (/ (cbrt (- h1 h0)) (sqrt (+ h1 h0))))
 (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1))
 (/ (cbrt -1) (/ (cbrt (- h1 h0)) (+ h1 h0)))
 (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1))
 (/ (cbrt -1) (/ (cbrt (- h1 h0)) (+ h1 h0)))
 (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- h1 h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))))
 (/ (cbrt -1) (/ (sqrt (- h1 h0)) (cbrt (+ h1 h0))))
 (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0))))
 (/ (cbrt -1) (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0))))
 (/ (* (cbrt -1) (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)))
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