0.673 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.069 * * * [progress]: [2/2] Setting up program.
0.073 * [progress]: [Phase 2 of 3] Improving.
0.112 * [simplify]: Simplifying:
  (/ (- (+ f n)) (- f n))
0.113 * * [simplify]: iteration 0: 6 enodes
0.117 * * [simplify]: iteration 1: 13 enodes
0.119 * * [simplify]: iteration 2: 16 enodes
0.122 * * [simplify]: iteration 3: 20 enodes
0.125 * * [simplify]: iteration 4: 24 enodes
0.128 * * [simplify]: iteration 5: 29 enodes
0.132 * * [simplify]: iteration 6: 31 enodes
0.135 * * [simplify]: iteration complete: 31 enodes
0.136 * * [simplify]: Extracting #0: cost 1 inf + 0
0.136 * * [simplify]: Extracting #1: cost 9 inf + 0
0.136 * * [simplify]: Extracting #2: cost 14 inf + 0
0.136 * * [simplify]: Extracting #3: cost 11 inf + 43
0.136 * * [simplify]: Extracting #4: cost 2 inf + 860
0.137 * * [simplify]: Extracting #5: cost 0 inf + 1104
0.137 * [simplify]: Simplified to:
  (/ (- (+ n f)) (- f n))
0.139 * * [progress]: iteration 1 / 4
0.139 * * * [progress]: picking best candidate
0.142 * * * * [pick]: Picked  #<alt (λ (f n) (/ (- (+ f n)) (- f n)))>
0.142 * * * [progress]: localizing error
0.153 * * * [progress]: generating rewritten candidates
0.153 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.219 * * * [progress]: generating series expansions
0.230 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.238 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n)))
0.238 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0
0.240 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n
0.240 * [taylor]: Taking taylor expansion of -1 in n
0.240 * [backup-simplify]: Simplify -1 into -1
0.240 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n
0.240 * [taylor]: Taking taylor expansion of (+ n f) in n
0.240 * [taylor]: Taking taylor expansion of n in n
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.240 * [taylor]: Taking taylor expansion of f in n
0.240 * [backup-simplify]: Simplify f into f
0.240 * [taylor]: Taking taylor expansion of (- f n) in n
0.240 * [taylor]: Taking taylor expansion of f in n
0.240 * [backup-simplify]: Simplify f into f
0.240 * [taylor]: Taking taylor expansion of n in n
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify (+ 0 f) into f
0.242 * [backup-simplify]: Simplify (- 0) into 0
0.242 * [backup-simplify]: Simplify (+ f 0) into f
0.242 * [backup-simplify]: Simplify (/ f f) into 1
0.242 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f
0.242 * [taylor]: Taking taylor expansion of -1 in f
0.242 * [backup-simplify]: Simplify -1 into -1
0.242 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f
0.242 * [taylor]: Taking taylor expansion of (+ n f) in f
0.242 * [taylor]: Taking taylor expansion of n in f
0.242 * [backup-simplify]: Simplify n into n
0.242 * [taylor]: Taking taylor expansion of f in f
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [taylor]: Taking taylor expansion of (- f n) in f
0.243 * [taylor]: Taking taylor expansion of f in f
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [taylor]: Taking taylor expansion of n in f
0.243 * [backup-simplify]: Simplify n into n
0.243 * [backup-simplify]: Simplify (+ n 0) into n
0.243 * [backup-simplify]: Simplify (- n) into (- n)
0.243 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
0.243 * [backup-simplify]: Simplify (/ n (- n)) into -1
0.243 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f
0.243 * [taylor]: Taking taylor expansion of -1 in f
0.243 * [backup-simplify]: Simplify -1 into -1
0.243 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f
0.243 * [taylor]: Taking taylor expansion of (+ n f) in f
0.243 * [taylor]: Taking taylor expansion of n in f
0.243 * [backup-simplify]: Simplify n into n
0.243 * [taylor]: Taking taylor expansion of f in f
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [taylor]: Taking taylor expansion of (- f n) in f
0.243 * [taylor]: Taking taylor expansion of f in f
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [taylor]: Taking taylor expansion of n in f
0.243 * [backup-simplify]: Simplify n into n
0.244 * [backup-simplify]: Simplify (+ n 0) into n
0.244 * [backup-simplify]: Simplify (- n) into (- n)
0.244 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
0.244 * [backup-simplify]: Simplify (/ n (- n)) into -1
0.245 * [backup-simplify]: Simplify (* -1 -1) into 1
0.245 * [taylor]: Taking taylor expansion of 1 in n
0.245 * [backup-simplify]: Simplify 1 into 1
0.245 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify (+ 0 1) into 1
0.247 * [backup-simplify]: Simplify (- 0) into 0
0.247 * [backup-simplify]: Simplify (+ 1 0) into 1
0.247 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n)))
0.248 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n))
0.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
0.248 * [taylor]: Taking taylor expansion of 2 in n
0.248 * [backup-simplify]: Simplify 2 into 2
0.248 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.248 * [taylor]: Taking taylor expansion of n in n
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.249 * [backup-simplify]: Simplify (/ 1 1) into 1
0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (- 0) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2))))
0.253 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2)))
0.254 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
0.254 * [taylor]: Taking taylor expansion of 2 in n
0.254 * [backup-simplify]: Simplify 2 into 2
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
0.254 * [taylor]: Taking taylor expansion of (pow n 2) in n
0.254 * [taylor]: Taking taylor expansion of n in n
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (* 1 1) into 1
0.255 * [backup-simplify]: Simplify (/ 1 1) into 1
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.259 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.259 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.261 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [backup-simplify]: Simplify (- 0) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.263 * [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))))
0.264 * [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)))
0.264 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
0.264 * [taylor]: Taking taylor expansion of 2 in n
0.264 * [backup-simplify]: Simplify 2 into 2
0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
0.264 * [taylor]: Taking taylor expansion of (pow n 3) in n
0.264 * [taylor]: Taking taylor expansion of n in n
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.265 * [backup-simplify]: Simplify (* 1 1) into 1
0.265 * [backup-simplify]: Simplify (* 1 1) into 1
0.266 * [backup-simplify]: Simplify (/ 1 1) into 1
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.275 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.276 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))
0.276 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0
0.276 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n
0.276 * [taylor]: Taking taylor expansion of -1 in n
0.276 * [backup-simplify]: Simplify -1 into -1
0.276 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n
0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
0.276 * [taylor]: Taking taylor expansion of (/ 1 f) in n
0.276 * [taylor]: Taking taylor expansion of f in n
0.276 * [backup-simplify]: Simplify f into f
0.276 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
0.276 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.276 * [taylor]: Taking taylor expansion of n in n
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.277 * [backup-simplify]: Simplify (/ 1 1) into 1
0.277 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n
0.277 * [taylor]: Taking taylor expansion of (/ 1 f) in n
0.277 * [taylor]: Taking taylor expansion of f in n
0.277 * [backup-simplify]: Simplify f into f
0.277 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
0.277 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.277 * [taylor]: Taking taylor expansion of n in n
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (/ 1 1) into 1
0.278 * [backup-simplify]: Simplify (+ 0 1) into 1
0.278 * [backup-simplify]: Simplify (- 1) into -1
0.279 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.279 * [backup-simplify]: Simplify (/ 1 -1) into -1
0.279 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f
0.279 * [taylor]: Taking taylor expansion of -1 in f
0.279 * [backup-simplify]: Simplify -1 into -1
0.279 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f
0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
0.279 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.279 * [taylor]: Taking taylor expansion of f in f
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (/ 1 1) into 1
0.280 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.280 * [taylor]: Taking taylor expansion of n in f
0.280 * [backup-simplify]: Simplify n into n
0.280 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.280 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
0.280 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.280 * [taylor]: Taking taylor expansion of f in f
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (/ 1 1) into 1
0.280 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.280 * [taylor]: Taking taylor expansion of n in f
0.280 * [backup-simplify]: Simplify n into n
0.280 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.280 * [backup-simplify]: Simplify (+ 1 0) into 1
0.281 * [backup-simplify]: Simplify (+ 1 0) into 1
0.281 * [backup-simplify]: Simplify (/ 1 1) into 1
0.281 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f
0.281 * [taylor]: Taking taylor expansion of -1 in f
0.281 * [backup-simplify]: Simplify -1 into -1
0.281 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f
0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
0.281 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.281 * [taylor]: Taking taylor expansion of f in f
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (/ 1 1) into 1
0.281 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.281 * [taylor]: Taking taylor expansion of n in f
0.281 * [backup-simplify]: Simplify n into n
0.281 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.281 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
0.281 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.281 * [taylor]: Taking taylor expansion of f in f
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify (/ 1 1) into 1
0.282 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.282 * [taylor]: Taking taylor expansion of n in f
0.282 * [backup-simplify]: Simplify n into n
0.282 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.282 * [backup-simplify]: Simplify (+ 1 0) into 1
0.282 * [backup-simplify]: Simplify (+ 1 0) into 1
0.283 * [backup-simplify]: Simplify (/ 1 1) into 1
0.283 * [backup-simplify]: Simplify (* -1 1) into -1
0.283 * [taylor]: Taking taylor expansion of -1 in n
0.283 * [backup-simplify]: Simplify -1 into -1
0.283 * [backup-simplify]: Simplify -1 into -1
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
0.284 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n))
0.284 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n))
0.284 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n)))
0.284 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n
0.285 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
0.285 * [taylor]: Taking taylor expansion of 2 in n
0.285 * [backup-simplify]: Simplify 2 into 2
0.285 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.285 * [taylor]: Taking taylor expansion of n in n
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (/ 1 1) into 1
0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.286 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.286 * [backup-simplify]: Simplify (- 0) into 0
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
0.288 * [backup-simplify]: Simplify (- 0) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2)))
0.289 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2))))
0.289 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n
0.289 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
0.289 * [taylor]: Taking taylor expansion of 2 in n
0.289 * [backup-simplify]: Simplify 2 into 2
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
0.289 * [taylor]: Taking taylor expansion of (pow n 2) in n
0.289 * [taylor]: Taking taylor expansion of n in n
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (* 1 1) into 1
0.290 * [backup-simplify]: Simplify (/ 1 1) into 1
0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.292 * [backup-simplify]: Simplify (- 0) into 0
0.292 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.293 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.294 * [backup-simplify]: Simplify (- 0) into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
0.294 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
0.295 * [backup-simplify]: Simplify (- 0) into 0
0.296 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [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)))
0.297 * [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))))
0.297 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n
0.297 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
0.297 * [taylor]: Taking taylor expansion of 2 in n
0.297 * [backup-simplify]: Simplify 2 into 2
0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
0.297 * [taylor]: Taking taylor expansion of (pow n 3) in n
0.297 * [taylor]: Taking taylor expansion of n in n
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (* 1 1) into 1
0.298 * [backup-simplify]: Simplify (* 1 1) into 1
0.298 * [backup-simplify]: Simplify (/ 1 1) into 1
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (- 0) into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify -1 into -1
0.304 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))
0.304 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0
0.304 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n
0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
0.304 * [taylor]: Taking taylor expansion of (/ 1 f) in n
0.304 * [taylor]: Taking taylor expansion of f in n
0.304 * [backup-simplify]: Simplify f into f
0.304 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
0.304 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.304 * [taylor]: Taking taylor expansion of n in n
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify (/ 1 1) into 1
0.304 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n
0.304 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.304 * [taylor]: Taking taylor expansion of n in n
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.305 * [backup-simplify]: Simplify (/ 1 1) into 1
0.305 * [taylor]: Taking taylor expansion of (/ 1 f) in n
0.305 * [taylor]: Taking taylor expansion of f in n
0.305 * [backup-simplify]: Simplify f into f
0.305 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
0.305 * [backup-simplify]: Simplify (+ 0 1) into 1
0.305 * [backup-simplify]: Simplify (+ 1 0) into 1
0.306 * [backup-simplify]: Simplify (/ 1 1) into 1
0.306 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f
0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
0.306 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.306 * [taylor]: Taking taylor expansion of f in f
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (/ 1 1) into 1
0.306 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.306 * [taylor]: Taking taylor expansion of n in f
0.306 * [backup-simplify]: Simplify n into n
0.306 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.306 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
0.306 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.306 * [taylor]: Taking taylor expansion of n in f
0.306 * [backup-simplify]: Simplify n into n
0.306 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.306 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.306 * [taylor]: Taking taylor expansion of f in f
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (/ 1 1) into 1
0.307 * [backup-simplify]: Simplify (+ 1 0) into 1
0.307 * [backup-simplify]: Simplify (- 1) into -1
0.307 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.307 * [backup-simplify]: Simplify (/ 1 -1) into -1
0.307 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f
0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
0.307 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.307 * [taylor]: Taking taylor expansion of f in f
0.307 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (/ 1 1) into 1
0.308 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.308 * [taylor]: Taking taylor expansion of n in f
0.308 * [backup-simplify]: Simplify n into n
0.308 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.308 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
0.308 * [taylor]: Taking taylor expansion of (/ 1 n) in f
0.308 * [taylor]: Taking taylor expansion of n in f
0.308 * [backup-simplify]: Simplify n into n
0.308 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
0.308 * [taylor]: Taking taylor expansion of (/ 1 f) in f
0.308 * [taylor]: Taking taylor expansion of f in f
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (/ 1 1) into 1
0.308 * [backup-simplify]: Simplify (+ 1 0) into 1
0.309 * [backup-simplify]: Simplify (- 1) into -1
0.309 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.309 * [backup-simplify]: Simplify (/ 1 -1) into -1
0.309 * [taylor]: Taking taylor expansion of -1 in n
0.309 * [backup-simplify]: Simplify -1 into -1
0.309 * [backup-simplify]: Simplify -1 into -1
0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.310 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.311 * [backup-simplify]: Simplify (- 0) into 0
0.311 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
0.311 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n)))
0.311 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n
0.311 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
0.311 * [taylor]: Taking taylor expansion of 2 in n
0.311 * [backup-simplify]: Simplify 2 into 2
0.311 * [taylor]: Taking taylor expansion of (/ 1 n) in n
0.311 * [taylor]: Taking taylor expansion of n in n
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify (/ 1 1) into 1
0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
0.312 * [backup-simplify]: Simplify (- 0) into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
0.313 * [backup-simplify]: Simplify (+ 0 0) into 0
0.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.314 * [backup-simplify]: Simplify (- 0) into 0
0.314 * [backup-simplify]: Simplify (+ 0 0) into 0
0.315 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2))))
0.315 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n
0.315 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
0.315 * [taylor]: Taking taylor expansion of 2 in n
0.315 * [backup-simplify]: Simplify 2 into 2
0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
0.315 * [taylor]: Taking taylor expansion of (pow n 2) in n
0.315 * [taylor]: Taking taylor expansion of n in n
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 1 into 1
0.315 * [backup-simplify]: Simplify (* 1 1) into 1
0.315 * [backup-simplify]: Simplify (/ 1 1) into 1
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.318 * [backup-simplify]: Simplify (- 0) into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.319 * [backup-simplify]: Simplify (- 0) into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
0.320 * [backup-simplify]: Simplify (+ 0 0) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (- 0) into 0
0.321 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [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))))
0.322 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n
0.322 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
0.322 * [taylor]: Taking taylor expansion of 2 in n
0.322 * [backup-simplify]: Simplify 2 into 2
0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
0.322 * [taylor]: Taking taylor expansion of (pow n 3) in n
0.322 * [taylor]: Taking taylor expansion of n in n
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [backup-simplify]: Simplify (* 1 1) into 1
0.323 * [backup-simplify]: Simplify (* 1 1) into 1
0.323 * [backup-simplify]: Simplify (/ 1 1) into 1
0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.329 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.329 * [backup-simplify]: Simplify (- 0) into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify -1 into -1
0.329 * * * [progress]: simplifying candidates
0.332 * [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
0.336 * * [simplify]: iteration 0: 135 enodes
0.402 * * [simplify]: iteration 1: 316 enodes
0.499 * * [simplify]: iteration 2: 708 enodes
0.771 * * [simplify]: iteration 3: 2249 enodes
2.020 * * [simplify]: iteration complete: 5005 enodes
2.020 * * [simplify]: Extracting #0: cost 88 inf + 0
2.023 * * [simplify]: Extracting #1: cost 479 inf + 3
2.031 * * [simplify]: Extracting #2: cost 829 inf + 8175
2.046 * * [simplify]: Extracting #3: cost 779 inf + 76041
2.115 * * [simplify]: Extracting #4: cost 260 inf + 196234
2.181 * * [simplify]: Extracting #5: cost 91 inf + 238474
2.249 * * [simplify]: Extracting #6: cost 8 inf + 251008
2.313 * * [simplify]: Extracting #7: cost 0 inf + 253031
2.394 * [simplify]: Simplified to:
  (expm1 (- (/ (+ n f) (- f n))))
  (log1p (- (/ (+ n f) (- f n))))
  (log (- (/ (+ n f) (- f n))))
  (log (- (/ (+ n f) (- f n))))
  (exp (- (/ (+ n f) (- f n))))
  (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (- (/ (+ n f) (- f n)))))
  (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n)))))
  (cbrt (- (/ (+ n f) (- f n))))
  (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (- (/ (+ n f) (- f n)))))
  (sqrt (- (/ (+ n f) (- f n))))
  (sqrt (- (/ (+ n f) (- f n))))
  (+ n f)
  (- (- f n))
  0
  (/ (+ n f) (- f n))
  (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n))))
  (/ (cbrt (- (+ n f))) (cbrt (- f n)))
  (/ (cbrt (- (+ n f))) (/ (sqrt (- f n)) (cbrt (- (+ n f)))))
  (/ (cbrt (- (+ n f))) (sqrt (- f n)))
  (* (cbrt (- (+ n f))) (cbrt (- (+ n f))))
  (/ (cbrt (- (+ n f))) (- f n))
  (/ (cbrt (- (+ n f))) (/ (+ (sqrt n) (sqrt f)) (cbrt (- (+ n f)))))
  (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n)))
  (* (cbrt (- (+ n f))) (cbrt (- (+ n f))))
  (/ (cbrt (- (+ n f))) (- f n))
  (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (sqrt (- (+ n f))) (cbrt (- f n)))
  (/ (sqrt (- (+ n f))) (sqrt (- f n)))
  (/ (sqrt (- (+ n f))) (sqrt (- f n)))
  (sqrt (- (+ n f)))
  (/ (sqrt (- (+ n f))) (- f n))
  (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f)))
  (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n)))
  (sqrt (- (+ n f)))
  (/ (sqrt (- (+ n f))) (- f n))
  (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))
  (- (/ (+ n f) (cbrt (- f n))))
  (/ 1 (sqrt (- f n)))
  (- (/ (+ n f) (sqrt (- f n))))
  1
  (- (/ (+ n f) (- f n)))
  (/ 1 (+ (sqrt n) (sqrt f)))
  (/ (- (+ n f)) (- (sqrt f) (sqrt n)))
  1
  (- (/ (+ n f) (- f n)))
  (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (+ n f) (cbrt (- f n)))
  (/ -1 (sqrt (- f n)))
  (/ (+ n f) (sqrt (- f n)))
  -1
  (/ (+ n f) (- f n))
  (/ -1 (+ (sqrt n) (sqrt f)))
  (/ (+ n f) (- (sqrt f) (sqrt n)))
  -1
  (/ (+ n f) (- f n))
  (* (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (- f n))))
  (/ (cbrt (+ n f)) (cbrt (- f n)))
  (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))))
  (/ (cbrt (+ n f)) (sqrt (- f n)))
  (- (* (cbrt (+ n f)) (cbrt (+ n f))))
  (/ (cbrt (+ n f)) (- f n))
  (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt n) (sqrt f)))
  (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))
  (- (* (cbrt (+ n f)) (cbrt (+ n f))))
  (/ (cbrt (+ n f)) (- f n))
  (/ (/ (- (sqrt (+ n f))) (cbrt (- f n))) (cbrt (- f n)))
  (/ (sqrt (+ n f)) (cbrt (- f n)))
  (/ (- (sqrt (+ n f))) (sqrt (- f n)))
  (/ (sqrt (+ n f)) (sqrt (- f n)))
  (- (sqrt (+ n f)))
  (/ (sqrt (+ n f)) (- f n))
  (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f)))
  (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n)))
  (- (sqrt (+ n f)))
  (/ (sqrt (+ n f)) (- f n))
  (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (+ n f) (cbrt (- f n)))
  (/ -1 (sqrt (- f n)))
  (/ (+ n f) (sqrt (- f n)))
  -1
  (/ (+ n f) (- f n))
  (/ -1 (+ (sqrt n) (sqrt f)))
  (/ (+ n f) (- (sqrt f) (sqrt n)))
  -1
  (/ (+ n f) (- f n))
  (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (+ n f) (cbrt (- f n)))
  (/ -1 (sqrt (- f n)))
  (/ (+ n f) (sqrt (- f n)))
  -1
  (/ (+ n f) (- f n))
  (/ -1 (+ (sqrt n) (sqrt f)))
  (/ (+ n f) (- (sqrt f) (sqrt n)))
  -1
  (/ (+ n f) (- f n))
  (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))
  (- (/ (cbrt (+ n f)) (cbrt (- f n))))
  (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n)))
  (- (/ (cbrt (+ n f)) (sqrt (- f n))))
  (* (cbrt (+ n f)) (cbrt (+ n f)))
  (- (/ (cbrt (+ n f)) (- f n)))
  (/ (cbrt (+ n f)) (/ (+ (sqrt n) (sqrt f)) (cbrt (+ n f))))
  (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n)))
  (* (cbrt (+ n f)) (cbrt (+ n f)))
  (- (/ (cbrt (+ n f)) (- f n)))
  (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (- (sqrt (+ n f))) (cbrt (- f n)))
  (/ (sqrt (+ n f)) (sqrt (- f n)))
  (/ (- (sqrt (+ n f))) (sqrt (- f n)))
  (sqrt (+ n f))
  (- (/ (sqrt (+ n f)) (- f n)))
  (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f)))
  (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n)))
  (sqrt (+ n f))
  (- (/ (sqrt (+ n f)) (- f n)))
  (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))
  (- (/ (+ n f) (cbrt (- f n))))
  (/ 1 (sqrt (- f n)))
  (- (/ (+ n f) (sqrt (- f n))))
  1
  (- (/ (+ n f) (- f n)))
  (/ 1 (+ (sqrt n) (sqrt f)))
  (/ (- (+ n f)) (- (sqrt f) (sqrt n)))
  1
  (- (/ (+ n f) (- f n)))
  (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))
  (- (/ (+ n f) (cbrt (- f n))))
  (/ 1 (sqrt (- f n)))
  (- (/ (+ n f) (sqrt (- f n))))
  1
  (- (/ (+ n f) (- f n)))
  (/ 1 (+ (sqrt n) (sqrt f)))
  (/ (- (+ n f)) (- (sqrt f) (sqrt n)))
  1
  (- (/ (+ n f) (- f n)))
  (/ 1 (- f n))
  (/ (- f n) (- (+ n f)))
  (/ (+ n f) (- f n))
  (/ (- (/ (+ n f) (cbrt (- f n)))) (cbrt (- f n)))
  (- (/ (+ n f) (sqrt (- f n))))
  (- (+ n f))
  (/ (- (+ n f)) (+ (sqrt n) (sqrt f)))
  (- (+ n f))
  (/ (- f n) (cbrt (- (+ n f))))
  (/ (- f n) (sqrt (- (+ n f))))
  (/ (- f n) (- (+ n f)))
  (/ (- f n) (+ n f))
  (/ (- f n) (cbrt (+ n f)))
  (/ (- f n) (sqrt (+ n f)))
  (/ (- f n) (+ n f))
  (/ (- f n) (+ n f))
  (/ (- f n) (- (cbrt (+ n f))))
  (/ (- f n) (- (sqrt (+ n f))))
  (/ (- f n) (- (+ n f)))
  (/ (- f n) (- (+ n f)))
  (/ (- (+ n f)) (- (* (* f f) f) (* (* n n) n)))
  (- (/ 1 (- f n)))
  (* (- f n) (fma n n (* f (- f n))))
  (* (- f n) (- f n))
  1
  -1
  -1
2.401 * * * [progress]: adding candidates to table
2.720 * * [progress]: iteration 2 / 4
2.720 * * * [progress]: picking best candidate
2.727 * * * * [pick]: Picked  #<alt (λ (f n) (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))))>
2.727 * * * [progress]: localizing error
2.765 * * * [progress]: generating rewritten candidates
2.765 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
2.933 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
3.136 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
3.368 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2)
3.431 * * * [progress]: generating series expansions
3.431 * * * * [progress]: [ 1 / 4 ] generating series at (2)
3.431 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) into (/ (* (cbrt -1) (+ n f)) (- f n))
3.431 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0
3.431 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n
3.431 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n
3.431 * [taylor]: Taking taylor expansion of (cbrt -1) in n
3.431 * [taylor]: Taking taylor expansion of -1 in n
3.431 * [backup-simplify]: Simplify -1 into -1
3.432 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.432 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.432 * [taylor]: Taking taylor expansion of (+ n f) in n
3.432 * [taylor]: Taking taylor expansion of n in n
3.432 * [backup-simplify]: Simplify 0 into 0
3.432 * [backup-simplify]: Simplify 1 into 1
3.432 * [taylor]: Taking taylor expansion of f in n
3.432 * [backup-simplify]: Simplify f into f
3.432 * [taylor]: Taking taylor expansion of (- f n) in n
3.433 * [taylor]: Taking taylor expansion of f in n
3.433 * [backup-simplify]: Simplify f into f
3.433 * [taylor]: Taking taylor expansion of n in n
3.433 * [backup-simplify]: Simplify 0 into 0
3.433 * [backup-simplify]: Simplify 1 into 1
3.433 * [backup-simplify]: Simplify (+ 0 f) into f
3.433 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f)
3.433 * [backup-simplify]: Simplify (- 0) into 0
3.433 * [backup-simplify]: Simplify (+ f 0) into f
3.434 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1)
3.434 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f
3.434 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f
3.434 * [taylor]: Taking taylor expansion of (cbrt -1) in f
3.434 * [taylor]: Taking taylor expansion of -1 in f
3.434 * [backup-simplify]: Simplify -1 into -1
3.434 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.434 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.434 * [taylor]: Taking taylor expansion of (+ n f) in f
3.434 * [taylor]: Taking taylor expansion of n in f
3.434 * [backup-simplify]: Simplify n into n
3.434 * [taylor]: Taking taylor expansion of f in f
3.434 * [backup-simplify]: Simplify 0 into 0
3.434 * [backup-simplify]: Simplify 1 into 1
3.434 * [taylor]: Taking taylor expansion of (- f n) in f
3.435 * [taylor]: Taking taylor expansion of f in f
3.435 * [backup-simplify]: Simplify 0 into 0
3.435 * [backup-simplify]: Simplify 1 into 1
3.435 * [taylor]: Taking taylor expansion of n in f
3.435 * [backup-simplify]: Simplify n into n
3.435 * [backup-simplify]: Simplify (+ n 0) into n
3.435 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n)
3.435 * [backup-simplify]: Simplify (- n) into (- n)
3.435 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
3.435 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1))
3.435 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f
3.435 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f
3.435 * [taylor]: Taking taylor expansion of (cbrt -1) in f
3.435 * [taylor]: Taking taylor expansion of -1 in f
3.435 * [backup-simplify]: Simplify -1 into -1
3.436 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.436 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.436 * [taylor]: Taking taylor expansion of (+ n f) in f
3.436 * [taylor]: Taking taylor expansion of n in f
3.436 * [backup-simplify]: Simplify n into n
3.436 * [taylor]: Taking taylor expansion of f in f
3.436 * [backup-simplify]: Simplify 0 into 0
3.436 * [backup-simplify]: Simplify 1 into 1
3.436 * [taylor]: Taking taylor expansion of (- f n) in f
3.436 * [taylor]: Taking taylor expansion of f in f
3.436 * [backup-simplify]: Simplify 0 into 0
3.436 * [backup-simplify]: Simplify 1 into 1
3.436 * [taylor]: Taking taylor expansion of n in f
3.436 * [backup-simplify]: Simplify n into n
3.436 * [backup-simplify]: Simplify (+ n 0) into n
3.437 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n)
3.437 * [backup-simplify]: Simplify (- n) into (- n)
3.437 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
3.437 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1))
3.437 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n
3.437 * [taylor]: Taking taylor expansion of -1 in n
3.437 * [backup-simplify]: Simplify -1 into -1
3.437 * [taylor]: Taking taylor expansion of (cbrt -1) in n
3.437 * [taylor]: Taking taylor expansion of -1 in n
3.437 * [backup-simplify]: Simplify -1 into -1
3.438 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.438 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.439 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1))
3.439 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1))
3.439 * [backup-simplify]: Simplify (+ 0 1) into 1
3.440 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 n)) into (cbrt -1)
3.440 * [backup-simplify]: Simplify (- 0) into 0
3.440 * [backup-simplify]: Simplify (+ 1 0) into 1
3.441 * [backup-simplify]: Simplify (- (/ (cbrt -1) (- n)) (+ (* (* -1 (cbrt -1)) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) n)))
3.441 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n
3.441 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n
3.441 * [taylor]: Taking taylor expansion of 2 in n
3.442 * [backup-simplify]: Simplify 2 into 2
3.442 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n
3.442 * [taylor]: Taking taylor expansion of (cbrt -1) in n
3.442 * [taylor]: Taking taylor expansion of -1 in n
3.442 * [backup-simplify]: Simplify -1 into -1
3.442 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.442 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.442 * [taylor]: Taking taylor expansion of n in n
3.442 * [backup-simplify]: Simplify 0 into 0
3.442 * [backup-simplify]: Simplify 1 into 1
3.443 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
3.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0
3.444 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0
3.444 * [backup-simplify]: Simplify (- 0) into 0
3.444 * [backup-simplify]: Simplify 0 into 0
3.445 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0
3.445 * [backup-simplify]: Simplify 0 into 0
3.445 * [backup-simplify]: Simplify (+ 0 0) into 0
3.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.447 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 n))) into 0
3.447 * [backup-simplify]: Simplify (- 0) into 0
3.447 * [backup-simplify]: Simplify (+ 0 0) into 0
3.448 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 2))))
3.448 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n
3.448 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n
3.448 * [taylor]: Taking taylor expansion of 2 in n
3.448 * [backup-simplify]: Simplify 2 into 2
3.448 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n
3.448 * [taylor]: Taking taylor expansion of (cbrt -1) in n
3.448 * [taylor]: Taking taylor expansion of -1 in n
3.448 * [backup-simplify]: Simplify -1 into -1
3.449 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.449 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.449 * [taylor]: Taking taylor expansion of (pow n 2) in n
3.449 * [taylor]: Taking taylor expansion of n in n
3.449 * [backup-simplify]: Simplify 0 into 0
3.449 * [backup-simplify]: Simplify 1 into 1
3.449 * [backup-simplify]: Simplify (* 1 1) into 1
3.450 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
3.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0
3.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
3.463 * [backup-simplify]: Simplify (- 0) into 0
3.463 * [backup-simplify]: Simplify 0 into 0
3.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
3.468 * [backup-simplify]: Simplify (- 0) into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.470 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
3.470 * [backup-simplify]: Simplify 0 into 0
3.471 * [backup-simplify]: Simplify (+ 0 0) into 0
3.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
3.474 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0
3.474 * [backup-simplify]: Simplify (- 0) into 0
3.475 * [backup-simplify]: Simplify (+ 0 0) into 0
3.478 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 3))))
3.478 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n
3.478 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n
3.478 * [taylor]: Taking taylor expansion of 2 in n
3.478 * [backup-simplify]: Simplify 2 into 2
3.478 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n
3.478 * [taylor]: Taking taylor expansion of (cbrt -1) in n
3.478 * [taylor]: Taking taylor expansion of -1 in n
3.478 * [backup-simplify]: Simplify -1 into -1
3.479 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.479 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.479 * [taylor]: Taking taylor expansion of (pow n 3) in n
3.479 * [taylor]: Taking taylor expansion of n in n
3.479 * [backup-simplify]: Simplify 0 into 0
3.479 * [backup-simplify]: Simplify 1 into 1
3.480 * [backup-simplify]: Simplify (* 1 1) into 1
3.480 * [backup-simplify]: Simplify (* 1 1) into 1
3.481 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
3.482 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
3.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0
3.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.494 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
3.495 * [backup-simplify]: Simplify (- 0) into 0
3.495 * [backup-simplify]: Simplify 0 into 0
3.496 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1))
3.497 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n)))
3.497 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in (f n) around 0
3.497 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in n
3.497 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in n
3.497 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
3.497 * [taylor]: Taking taylor expansion of (/ 1 f) in n
3.497 * [taylor]: Taking taylor expansion of f in n
3.497 * [backup-simplify]: Simplify f into f
3.497 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
3.497 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.497 * [taylor]: Taking taylor expansion of n in n
3.497 * [backup-simplify]: Simplify 0 into 0
3.497 * [backup-simplify]: Simplify 1 into 1
3.498 * [backup-simplify]: Simplify (/ 1 1) into 1
3.498 * [taylor]: Taking taylor expansion of (cbrt -1) in n
3.498 * [taylor]: Taking taylor expansion of -1 in n
3.498 * [backup-simplify]: Simplify -1 into -1
3.498 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.499 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.499 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n
3.499 * [taylor]: Taking taylor expansion of (/ 1 f) in n
3.499 * [taylor]: Taking taylor expansion of f in n
3.499 * [backup-simplify]: Simplify f into f
3.499 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
3.499 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.499 * [taylor]: Taking taylor expansion of n in n
3.499 * [backup-simplify]: Simplify 0 into 0
3.499 * [backup-simplify]: Simplify 1 into 1
3.500 * [backup-simplify]: Simplify (/ 1 1) into 1
3.500 * [backup-simplify]: Simplify (+ 0 1) into 1
3.501 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1)
3.501 * [backup-simplify]: Simplify (- 1) into -1
3.502 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.503 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1))
3.503 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in f
3.503 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in f
3.503 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
3.503 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.503 * [taylor]: Taking taylor expansion of f in f
3.503 * [backup-simplify]: Simplify 0 into 0
3.503 * [backup-simplify]: Simplify 1 into 1
3.503 * [backup-simplify]: Simplify (/ 1 1) into 1
3.503 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.503 * [taylor]: Taking taylor expansion of n in f
3.503 * [backup-simplify]: Simplify n into n
3.503 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.504 * [taylor]: Taking taylor expansion of (cbrt -1) in f
3.504 * [taylor]: Taking taylor expansion of -1 in f
3.504 * [backup-simplify]: Simplify -1 into -1
3.504 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.505 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.505 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
3.505 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.505 * [taylor]: Taking taylor expansion of f in f
3.505 * [backup-simplify]: Simplify 0 into 0
3.505 * [backup-simplify]: Simplify 1 into 1
3.505 * [backup-simplify]: Simplify (/ 1 1) into 1
3.505 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.505 * [taylor]: Taking taylor expansion of n in f
3.505 * [backup-simplify]: Simplify n into n
3.505 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.506 * [backup-simplify]: Simplify (+ 1 0) into 1
3.507 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1)
3.507 * [backup-simplify]: Simplify (+ 1 0) into 1
3.508 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
3.508 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in f
3.508 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in f
3.508 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
3.508 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.508 * [taylor]: Taking taylor expansion of f in f
3.508 * [backup-simplify]: Simplify 0 into 0
3.508 * [backup-simplify]: Simplify 1 into 1
3.509 * [backup-simplify]: Simplify (/ 1 1) into 1
3.509 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.509 * [taylor]: Taking taylor expansion of n in f
3.509 * [backup-simplify]: Simplify n into n
3.509 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.509 * [taylor]: Taking taylor expansion of (cbrt -1) in f
3.509 * [taylor]: Taking taylor expansion of -1 in f
3.509 * [backup-simplify]: Simplify -1 into -1
3.509 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.510 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.510 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
3.510 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.510 * [taylor]: Taking taylor expansion of f in f
3.510 * [backup-simplify]: Simplify 0 into 0
3.510 * [backup-simplify]: Simplify 1 into 1
3.511 * [backup-simplify]: Simplify (/ 1 1) into 1
3.511 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.511 * [taylor]: Taking taylor expansion of n in f
3.511 * [backup-simplify]: Simplify n into n
3.511 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.511 * [backup-simplify]: Simplify (+ 1 0) into 1
3.512 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1)
3.512 * [backup-simplify]: Simplify (+ 1 0) into 1
3.513 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
3.514 * [taylor]: Taking taylor expansion of (cbrt -1) in n
3.514 * [taylor]: Taking taylor expansion of -1 in n
3.514 * [backup-simplify]: Simplify -1 into -1
3.514 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.515 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.515 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.516 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
3.517 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) (cbrt -1))) into (/ (cbrt -1) n)
3.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.518 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
3.518 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n))
3.519 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) n) 1) (+ (* (cbrt -1) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) n))
3.519 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n
3.519 * [taylor]: Taking taylor expansion of 2 in n
3.519 * [backup-simplify]: Simplify 2 into 2
3.519 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n
3.519 * [taylor]: Taking taylor expansion of (cbrt -1) in n
3.519 * [taylor]: Taking taylor expansion of -1 in n
3.519 * [backup-simplify]: Simplify -1 into -1
3.520 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.520 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.520 * [taylor]: Taking taylor expansion of n in n
3.521 * [backup-simplify]: Simplify 0 into 0
3.521 * [backup-simplify]: Simplify 1 into 1
3.522 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
3.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0
3.524 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0
3.524 * [backup-simplify]: Simplify 0 into 0
3.524 * [backup-simplify]: Simplify 0 into 0
3.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
3.527 * [backup-simplify]: Simplify (+ 0 0) into 0
3.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 (cbrt -1)))) into 0
3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
3.530 * [backup-simplify]: Simplify (- 0) into 0
3.530 * [backup-simplify]: Simplify (+ 0 0) into 0
3.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 2)))
3.533 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n
3.533 * [taylor]: Taking taylor expansion of 2 in n
3.533 * [backup-simplify]: Simplify 2 into 2
3.533 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n
3.533 * [taylor]: Taking taylor expansion of (cbrt -1) in n
3.533 * [taylor]: Taking taylor expansion of -1 in n
3.533 * [backup-simplify]: Simplify -1 into -1
3.533 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.534 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.534 * [taylor]: Taking taylor expansion of (pow n 2) in n
3.534 * [taylor]: Taking taylor expansion of n in n
3.534 * [backup-simplify]: Simplify 0 into 0
3.534 * [backup-simplify]: Simplify 1 into 1
3.535 * [backup-simplify]: Simplify (* 1 1) into 1
3.536 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
3.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0
3.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.541 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
3.541 * [backup-simplify]: Simplify 0 into 0
3.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.543 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
3.543 * [backup-simplify]: Simplify 0 into 0
3.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.544 * [backup-simplify]: Simplify 0 into 0
3.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
3.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
3.546 * [backup-simplify]: Simplify (+ 0 0) into 0
3.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
3.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
3.548 * [backup-simplify]: Simplify (- 0) into 0
3.548 * [backup-simplify]: Simplify (+ 0 0) into 0
3.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ 0 1)) (* (* 2 (/ (cbrt -1) (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 3)))
3.550 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n
3.550 * [taylor]: Taking taylor expansion of 2 in n
3.550 * [backup-simplify]: Simplify 2 into 2
3.550 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n
3.550 * [taylor]: Taking taylor expansion of (cbrt -1) in n
3.550 * [taylor]: Taking taylor expansion of -1 in n
3.550 * [backup-simplify]: Simplify -1 into -1
3.550 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.551 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
3.551 * [taylor]: Taking taylor expansion of (pow n 3) in n
3.551 * [taylor]: Taking taylor expansion of n in n
3.551 * [backup-simplify]: Simplify 0 into 0
3.551 * [backup-simplify]: Simplify 1 into 1
3.551 * [backup-simplify]: Simplify (* 1 1) into 1
3.551 * [backup-simplify]: Simplify (* 1 1) into 1
3.552 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
3.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
3.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0
3.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
3.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.559 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
3.559 * [backup-simplify]: Simplify 0 into 0
3.560 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
3.560 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))
3.560 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0
3.560 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n
3.560 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
3.560 * [taylor]: Taking taylor expansion of (/ 1 f) in n
3.560 * [taylor]: Taking taylor expansion of f in n
3.560 * [backup-simplify]: Simplify f into f
3.560 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
3.560 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.561 * [taylor]: Taking taylor expansion of n in n
3.561 * [backup-simplify]: Simplify 0 into 0
3.561 * [backup-simplify]: Simplify 1 into 1
3.561 * [backup-simplify]: Simplify (/ 1 1) into 1
3.561 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n
3.561 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.561 * [taylor]: Taking taylor expansion of n in n
3.561 * [backup-simplify]: Simplify 0 into 0
3.561 * [backup-simplify]: Simplify 1 into 1
3.561 * [backup-simplify]: Simplify (/ 1 1) into 1
3.561 * [taylor]: Taking taylor expansion of (/ 1 f) in n
3.561 * [taylor]: Taking taylor expansion of f in n
3.561 * [backup-simplify]: Simplify f into f
3.561 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
3.561 * [backup-simplify]: Simplify (+ 0 1) into 1
3.562 * [backup-simplify]: Simplify (+ 1 0) into 1
3.562 * [backup-simplify]: Simplify (/ 1 1) into 1
3.562 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f
3.562 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
3.562 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.562 * [taylor]: Taking taylor expansion of f in f
3.562 * [backup-simplify]: Simplify 0 into 0
3.562 * [backup-simplify]: Simplify 1 into 1
3.562 * [backup-simplify]: Simplify (/ 1 1) into 1
3.562 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.562 * [taylor]: Taking taylor expansion of n in f
3.562 * [backup-simplify]: Simplify n into n
3.562 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.562 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
3.562 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.563 * [taylor]: Taking taylor expansion of n in f
3.563 * [backup-simplify]: Simplify n into n
3.563 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.563 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.563 * [taylor]: Taking taylor expansion of f in f
3.563 * [backup-simplify]: Simplify 0 into 0
3.563 * [backup-simplify]: Simplify 1 into 1
3.563 * [backup-simplify]: Simplify (/ 1 1) into 1
3.563 * [backup-simplify]: Simplify (+ 1 0) into 1
3.563 * [backup-simplify]: Simplify (- 1) into -1
3.564 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.564 * [backup-simplify]: Simplify (/ 1 -1) into -1
3.564 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f
3.564 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
3.564 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.564 * [taylor]: Taking taylor expansion of f in f
3.564 * [backup-simplify]: Simplify 0 into 0
3.564 * [backup-simplify]: Simplify 1 into 1
3.564 * [backup-simplify]: Simplify (/ 1 1) into 1
3.564 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.564 * [taylor]: Taking taylor expansion of n in f
3.564 * [backup-simplify]: Simplify n into n
3.564 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.564 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
3.564 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.564 * [taylor]: Taking taylor expansion of n in f
3.564 * [backup-simplify]: Simplify n into n
3.564 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.564 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.564 * [taylor]: Taking taylor expansion of f in f
3.564 * [backup-simplify]: Simplify 0 into 0
3.564 * [backup-simplify]: Simplify 1 into 1
3.565 * [backup-simplify]: Simplify (/ 1 1) into 1
3.565 * [backup-simplify]: Simplify (+ 1 0) into 1
3.565 * [backup-simplify]: Simplify (- 1) into -1
3.565 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.566 * [backup-simplify]: Simplify (/ 1 -1) into -1
3.566 * [taylor]: Taking taylor expansion of -1 in n
3.566 * [backup-simplify]: Simplify -1 into -1
3.566 * [backup-simplify]: Simplify -1 into -1
3.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.566 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
3.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.567 * [backup-simplify]: Simplify (- 0) into 0
3.567 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
3.567 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n)))
3.567 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n
3.567 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
3.567 * [taylor]: Taking taylor expansion of 2 in n
3.568 * [backup-simplify]: Simplify 2 into 2
3.568 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.568 * [taylor]: Taking taylor expansion of n in n
3.568 * [backup-simplify]: Simplify 0 into 0
3.568 * [backup-simplify]: Simplify 1 into 1
3.568 * [backup-simplify]: Simplify (/ 1 1) into 1
3.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.570 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.570 * [backup-simplify]: Simplify (- 0) into 0
3.570 * [backup-simplify]: Simplify 0 into 0
3.570 * [backup-simplify]: Simplify 0 into 0
3.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
3.572 * [backup-simplify]: Simplify (+ 0 0) into 0
3.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
3.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.573 * [backup-simplify]: Simplify (- 0) into 0
3.574 * [backup-simplify]: Simplify (+ 0 0) into 0
3.575 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2))))
3.575 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n
3.575 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
3.575 * [taylor]: Taking taylor expansion of 2 in n
3.575 * [backup-simplify]: Simplify 2 into 2
3.575 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
3.575 * [taylor]: Taking taylor expansion of (pow n 2) in n
3.575 * [taylor]: Taking taylor expansion of n in n
3.575 * [backup-simplify]: Simplify 0 into 0
3.575 * [backup-simplify]: Simplify 1 into 1
3.576 * [backup-simplify]: Simplify (* 1 1) into 1
3.576 * [backup-simplify]: Simplify (/ 1 1) into 1
3.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.580 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.581 * [backup-simplify]: Simplify (- 0) into 0
3.581 * [backup-simplify]: Simplify 0 into 0
3.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.583 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.583 * [backup-simplify]: Simplify (- 0) into 0
3.583 * [backup-simplify]: Simplify 0 into 0
3.583 * [backup-simplify]: Simplify 0 into 0
3.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
3.585 * [backup-simplify]: Simplify (+ 0 0) into 0
3.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
3.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.586 * [backup-simplify]: Simplify (- 0) into 0
3.587 * [backup-simplify]: Simplify (+ 0 0) into 0
3.593 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3))))
3.594 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n
3.594 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
3.594 * [taylor]: Taking taylor expansion of 2 in n
3.594 * [backup-simplify]: Simplify 2 into 2
3.594 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
3.594 * [taylor]: Taking taylor expansion of (pow n 3) in n
3.594 * [taylor]: Taking taylor expansion of n in n
3.594 * [backup-simplify]: Simplify 0 into 0
3.594 * [backup-simplify]: Simplify 1 into 1
3.594 * [backup-simplify]: Simplify (* 1 1) into 1
3.595 * [backup-simplify]: Simplify (* 1 1) into 1
3.595 * [backup-simplify]: Simplify (/ 1 1) into 1
3.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.605 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.605 * [backup-simplify]: Simplify (- 0) into 0
3.605 * [backup-simplify]: Simplify 0 into 0
3.605 * [backup-simplify]: Simplify -1 into -1
3.605 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
3.606 * [backup-simplify]: Simplify (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) into (/ (pow (+ n f) 2) (pow (- f n) 2))
3.606 * [approximate]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in (f n) around 0
3.606 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n
3.606 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n
3.606 * [taylor]: Taking taylor expansion of (+ n f) in n
3.606 * [taylor]: Taking taylor expansion of n in n
3.606 * [backup-simplify]: Simplify 0 into 0
3.606 * [backup-simplify]: Simplify 1 into 1
3.606 * [taylor]: Taking taylor expansion of f in n
3.606 * [backup-simplify]: Simplify f into f
3.606 * [backup-simplify]: Simplify (+ 0 f) into f
3.606 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n
3.606 * [taylor]: Taking taylor expansion of (- f n) in n
3.606 * [taylor]: Taking taylor expansion of f in n
3.606 * [backup-simplify]: Simplify f into f
3.606 * [taylor]: Taking taylor expansion of n in n
3.606 * [backup-simplify]: Simplify 0 into 0
3.607 * [backup-simplify]: Simplify 1 into 1
3.607 * [backup-simplify]: Simplify (- 0) into 0
3.607 * [backup-simplify]: Simplify (+ f 0) into f
3.607 * [backup-simplify]: Simplify (* f f) into (pow f 2)
3.607 * [backup-simplify]: Simplify (* f f) into (pow f 2)
3.607 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1
3.608 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f
3.608 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f
3.608 * [taylor]: Taking taylor expansion of (+ n f) in f
3.608 * [taylor]: Taking taylor expansion of n in f
3.608 * [backup-simplify]: Simplify n into n
3.608 * [taylor]: Taking taylor expansion of f in f
3.608 * [backup-simplify]: Simplify 0 into 0
3.608 * [backup-simplify]: Simplify 1 into 1
3.608 * [backup-simplify]: Simplify (+ n 0) into n
3.608 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f
3.608 * [taylor]: Taking taylor expansion of (- f n) in f
3.608 * [taylor]: Taking taylor expansion of f in f
3.608 * [backup-simplify]: Simplify 0 into 0
3.608 * [backup-simplify]: Simplify 1 into 1
3.608 * [taylor]: Taking taylor expansion of n in f
3.608 * [backup-simplify]: Simplify n into n
3.608 * [backup-simplify]: Simplify (- n) into (- n)
3.608 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
3.608 * [backup-simplify]: Simplify (* n n) into (pow n 2)
3.608 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2)
3.608 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1
3.609 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f
3.609 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f
3.609 * [taylor]: Taking taylor expansion of (+ n f) in f
3.609 * [taylor]: Taking taylor expansion of n in f
3.609 * [backup-simplify]: Simplify n into n
3.609 * [taylor]: Taking taylor expansion of f in f
3.609 * [backup-simplify]: Simplify 0 into 0
3.609 * [backup-simplify]: Simplify 1 into 1
3.609 * [backup-simplify]: Simplify (+ n 0) into n
3.609 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f
3.609 * [taylor]: Taking taylor expansion of (- f n) in f
3.609 * [taylor]: Taking taylor expansion of f in f
3.609 * [backup-simplify]: Simplify 0 into 0
3.609 * [backup-simplify]: Simplify 1 into 1
3.609 * [taylor]: Taking taylor expansion of n in f
3.609 * [backup-simplify]: Simplify n into n
3.609 * [backup-simplify]: Simplify (- n) into (- n)
3.609 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
3.609 * [backup-simplify]: Simplify (* n n) into (pow n 2)
3.609 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2)
3.610 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1
3.610 * [taylor]: Taking taylor expansion of 1 in n
3.610 * [backup-simplify]: Simplify 1 into 1
3.610 * [backup-simplify]: Simplify 1 into 1
3.610 * [backup-simplify]: Simplify (+ 0 1) into 1
3.610 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n)
3.611 * [backup-simplify]: Simplify (- 0) into 0
3.611 * [backup-simplify]: Simplify (+ 1 0) into 1
3.611 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n))
3.612 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n))
3.612 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n
3.612 * [taylor]: Taking taylor expansion of 4 in n
3.612 * [backup-simplify]: Simplify 4 into 4
3.612 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.612 * [taylor]: Taking taylor expansion of n in n
3.612 * [backup-simplify]: Simplify 0 into 0
3.612 * [backup-simplify]: Simplify 1 into 1
3.613 * [backup-simplify]: Simplify (/ 1 1) into 1
3.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.614 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.614 * [backup-simplify]: Simplify 0 into 0
3.614 * [backup-simplify]: Simplify 0 into 0
3.615 * [backup-simplify]: Simplify (+ 0 0) into 0
3.615 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1
3.615 * [backup-simplify]: Simplify (- 0) into 0
3.616 * [backup-simplify]: Simplify (+ 0 0) into 0
3.616 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1
3.617 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2)))
3.617 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n
3.617 * [taylor]: Taking taylor expansion of 8 in n
3.617 * [backup-simplify]: Simplify 8 into 8
3.617 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
3.617 * [taylor]: Taking taylor expansion of (pow n 2) in n
3.617 * [taylor]: Taking taylor expansion of n in n
3.617 * [backup-simplify]: Simplify 0 into 0
3.617 * [backup-simplify]: Simplify 1 into 1
3.618 * [backup-simplify]: Simplify (* 1 1) into 1
3.618 * [backup-simplify]: Simplify (/ 1 1) into 1
3.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.623 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0
3.623 * [backup-simplify]: Simplify 0 into 0
3.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.625 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
3.625 * [backup-simplify]: Simplify 0 into 0
3.625 * [backup-simplify]: Simplify 0 into 0
3.625 * [backup-simplify]: Simplify (+ 0 0) into 0
3.627 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0
3.627 * [backup-simplify]: Simplify (- 0) into 0
3.627 * [backup-simplify]: Simplify (+ 0 0) into 0
3.628 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0
3.628 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3)))
3.628 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n
3.628 * [taylor]: Taking taylor expansion of 12 in n
3.628 * [backup-simplify]: Simplify 12 into 12
3.628 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
3.628 * [taylor]: Taking taylor expansion of (pow n 3) in n
3.628 * [taylor]: Taking taylor expansion of n in n
3.628 * [backup-simplify]: Simplify 0 into 0
3.628 * [backup-simplify]: Simplify 1 into 1
3.629 * [backup-simplify]: Simplify (* 1 1) into 1
3.629 * [backup-simplify]: Simplify (* 1 1) into 1
3.629 * [backup-simplify]: Simplify (/ 1 1) into 1
3.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.634 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [backup-simplify]: Simplify 1 into 1
3.634 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))
3.634 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0
3.635 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n
3.635 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n
3.635 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
3.635 * [taylor]: Taking taylor expansion of (/ 1 f) in n
3.635 * [taylor]: Taking taylor expansion of f in n
3.635 * [backup-simplify]: Simplify f into f
3.635 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
3.635 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.635 * [taylor]: Taking taylor expansion of n in n
3.635 * [backup-simplify]: Simplify 0 into 0
3.635 * [backup-simplify]: Simplify 1 into 1
3.635 * [backup-simplify]: Simplify (/ 1 1) into 1
3.635 * [backup-simplify]: Simplify (+ 0 1) into 1
3.635 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n
3.635 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n
3.635 * [taylor]: Taking taylor expansion of (/ 1 f) in n
3.635 * [taylor]: Taking taylor expansion of f in n
3.635 * [backup-simplify]: Simplify f into f
3.635 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
3.635 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.635 * [taylor]: Taking taylor expansion of n in n
3.635 * [backup-simplify]: Simplify 0 into 0
3.635 * [backup-simplify]: Simplify 1 into 1
3.636 * [backup-simplify]: Simplify (/ 1 1) into 1
3.636 * [backup-simplify]: Simplify (- 1) into -1
3.636 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.636 * [backup-simplify]: Simplify (* 1 1) into 1
3.637 * [backup-simplify]: Simplify (* -1 -1) into 1
3.637 * [backup-simplify]: Simplify (/ 1 1) into 1
3.637 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f
3.637 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f
3.637 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
3.637 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.637 * [taylor]: Taking taylor expansion of f in f
3.637 * [backup-simplify]: Simplify 0 into 0
3.637 * [backup-simplify]: Simplify 1 into 1
3.637 * [backup-simplify]: Simplify (/ 1 1) into 1
3.637 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.637 * [taylor]: Taking taylor expansion of n in f
3.637 * [backup-simplify]: Simplify n into n
3.637 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.637 * [backup-simplify]: Simplify (+ 1 0) into 1
3.637 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f
3.638 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
3.638 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.638 * [taylor]: Taking taylor expansion of f in f
3.638 * [backup-simplify]: Simplify 0 into 0
3.638 * [backup-simplify]: Simplify 1 into 1
3.638 * [backup-simplify]: Simplify (/ 1 1) into 1
3.638 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.638 * [taylor]: Taking taylor expansion of n in f
3.638 * [backup-simplify]: Simplify n into n
3.638 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.638 * [backup-simplify]: Simplify (+ 1 0) into 1
3.638 * [backup-simplify]: Simplify (* 1 1) into 1
3.639 * [backup-simplify]: Simplify (* 1 1) into 1
3.639 * [backup-simplify]: Simplify (/ 1 1) into 1
3.639 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f
3.639 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f
3.639 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
3.639 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.639 * [taylor]: Taking taylor expansion of f in f
3.639 * [backup-simplify]: Simplify 0 into 0
3.639 * [backup-simplify]: Simplify 1 into 1
3.639 * [backup-simplify]: Simplify (/ 1 1) into 1
3.639 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.639 * [taylor]: Taking taylor expansion of n in f
3.639 * [backup-simplify]: Simplify n into n
3.639 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.640 * [backup-simplify]: Simplify (+ 1 0) into 1
3.640 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f
3.640 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
3.640 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.640 * [taylor]: Taking taylor expansion of f in f
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 1 into 1
3.640 * [backup-simplify]: Simplify (/ 1 1) into 1
3.640 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.640 * [taylor]: Taking taylor expansion of n in f
3.640 * [backup-simplify]: Simplify n into n
3.640 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.640 * [backup-simplify]: Simplify (+ 1 0) into 1
3.640 * [backup-simplify]: Simplify (* 1 1) into 1
3.641 * [backup-simplify]: Simplify (* 1 1) into 1
3.641 * [backup-simplify]: Simplify (/ 1 1) into 1
3.641 * [taylor]: Taking taylor expansion of 1 in n
3.641 * [backup-simplify]: Simplify 1 into 1
3.641 * [backup-simplify]: Simplify 1 into 1
3.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.642 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
3.642 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n))
3.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.642 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
3.642 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n))
3.642 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n)))
3.643 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n))
3.643 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n
3.643 * [taylor]: Taking taylor expansion of 4 in n
3.643 * [backup-simplify]: Simplify 4 into 4
3.643 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.643 * [taylor]: Taking taylor expansion of n in n
3.643 * [backup-simplify]: Simplify 0 into 0
3.643 * [backup-simplify]: Simplify 1 into 1
3.643 * [backup-simplify]: Simplify (/ 1 1) into 1
3.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.644 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
3.645 * [backup-simplify]: Simplify (+ 0 0) into 0
3.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2))
3.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
3.646 * [backup-simplify]: Simplify (- 0) into 0
3.646 * [backup-simplify]: Simplify (+ 0 0) into 0
3.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2))
3.647 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2)))
3.647 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n
3.647 * [taylor]: Taking taylor expansion of 8 in n
3.647 * [backup-simplify]: Simplify 8 into 8
3.647 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
3.647 * [taylor]: Taking taylor expansion of (pow n 2) in n
3.647 * [taylor]: Taking taylor expansion of n in n
3.647 * [backup-simplify]: Simplify 0 into 0
3.647 * [backup-simplify]: Simplify 1 into 1
3.648 * [backup-simplify]: Simplify (* 1 1) into 1
3.648 * [backup-simplify]: Simplify (/ 1 1) into 1
3.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.650 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0
3.650 * [backup-simplify]: Simplify 0 into 0
3.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.651 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
3.651 * [backup-simplify]: Simplify 0 into 0
3.651 * [backup-simplify]: Simplify 0 into 0
3.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
3.652 * [backup-simplify]: Simplify (+ 0 0) into 0
3.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0
3.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
3.654 * [backup-simplify]: Simplify (- 0) into 0
3.654 * [backup-simplify]: Simplify (+ 0 0) into 0
3.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0
3.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3)))
3.655 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n
3.655 * [taylor]: Taking taylor expansion of 12 in n
3.656 * [backup-simplify]: Simplify 12 into 12
3.656 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
3.656 * [taylor]: Taking taylor expansion of (pow n 3) in n
3.656 * [taylor]: Taking taylor expansion of n in n
3.656 * [backup-simplify]: Simplify 0 into 0
3.656 * [backup-simplify]: Simplify 1 into 1
3.656 * [backup-simplify]: Simplify (* 1 1) into 1
3.656 * [backup-simplify]: Simplify (* 1 1) into 1
3.656 * [backup-simplify]: Simplify (/ 1 1) into 1
3.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.663 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.663 * [backup-simplify]: Simplify 0 into 0
3.663 * [backup-simplify]: Simplify 1 into 1
3.664 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))
3.664 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0
3.664 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n
3.664 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n
3.664 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
3.664 * [taylor]: Taking taylor expansion of (/ 1 f) in n
3.664 * [taylor]: Taking taylor expansion of f in n
3.664 * [backup-simplify]: Simplify f into f
3.664 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
3.664 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.664 * [taylor]: Taking taylor expansion of n in n
3.664 * [backup-simplify]: Simplify 0 into 0
3.664 * [backup-simplify]: Simplify 1 into 1
3.665 * [backup-simplify]: Simplify (/ 1 1) into 1
3.665 * [backup-simplify]: Simplify (+ 0 1) into 1
3.665 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n
3.665 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n
3.665 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.665 * [taylor]: Taking taylor expansion of n in n
3.665 * [backup-simplify]: Simplify 0 into 0
3.665 * [backup-simplify]: Simplify 1 into 1
3.666 * [backup-simplify]: Simplify (/ 1 1) into 1
3.666 * [taylor]: Taking taylor expansion of (/ 1 f) in n
3.666 * [taylor]: Taking taylor expansion of f in n
3.666 * [backup-simplify]: Simplify f into f
3.666 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
3.666 * [backup-simplify]: Simplify (+ 1 0) into 1
3.667 * [backup-simplify]: Simplify (* 1 1) into 1
3.667 * [backup-simplify]: Simplify (* 1 1) into 1
3.667 * [backup-simplify]: Simplify (/ 1 1) into 1
3.667 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f
3.667 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f
3.668 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
3.668 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.668 * [taylor]: Taking taylor expansion of f in f
3.668 * [backup-simplify]: Simplify 0 into 0
3.668 * [backup-simplify]: Simplify 1 into 1
3.668 * [backup-simplify]: Simplify (/ 1 1) into 1
3.668 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.668 * [taylor]: Taking taylor expansion of n in f
3.668 * [backup-simplify]: Simplify n into n
3.668 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.669 * [backup-simplify]: Simplify (+ 1 0) into 1
3.669 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f
3.669 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
3.669 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.669 * [taylor]: Taking taylor expansion of n in f
3.669 * [backup-simplify]: Simplify n into n
3.669 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.669 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.669 * [taylor]: Taking taylor expansion of f in f
3.669 * [backup-simplify]: Simplify 0 into 0
3.669 * [backup-simplify]: Simplify 1 into 1
3.669 * [backup-simplify]: Simplify (/ 1 1) into 1
3.670 * [backup-simplify]: Simplify (- 1) into -1
3.670 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.670 * [backup-simplify]: Simplify (* 1 1) into 1
3.671 * [backup-simplify]: Simplify (* -1 -1) into 1
3.671 * [backup-simplify]: Simplify (/ 1 1) into 1
3.671 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f
3.671 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f
3.671 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
3.671 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.671 * [taylor]: Taking taylor expansion of f in f
3.671 * [backup-simplify]: Simplify 0 into 0
3.671 * [backup-simplify]: Simplify 1 into 1
3.672 * [backup-simplify]: Simplify (/ 1 1) into 1
3.672 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.672 * [taylor]: Taking taylor expansion of n in f
3.672 * [backup-simplify]: Simplify n into n
3.672 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.673 * [backup-simplify]: Simplify (+ 1 0) into 1
3.673 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f
3.673 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
3.673 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.673 * [taylor]: Taking taylor expansion of n in f
3.673 * [backup-simplify]: Simplify n into n
3.673 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.673 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.673 * [taylor]: Taking taylor expansion of f in f
3.673 * [backup-simplify]: Simplify 0 into 0
3.673 * [backup-simplify]: Simplify 1 into 1
3.673 * [backup-simplify]: Simplify (/ 1 1) into 1
3.674 * [backup-simplify]: Simplify (- 1) into -1
3.674 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.675 * [backup-simplify]: Simplify (* 1 1) into 1
3.675 * [backup-simplify]: Simplify (* -1 -1) into 1
3.675 * [backup-simplify]: Simplify (/ 1 1) into 1
3.675 * [taylor]: Taking taylor expansion of 1 in n
3.675 * [backup-simplify]: Simplify 1 into 1
3.675 * [backup-simplify]: Simplify 1 into 1
3.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.676 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
3.677 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n))
3.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.678 * [backup-simplify]: Simplify (- 0) into 0
3.678 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
3.678 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n)))
3.678 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n))
3.678 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n
3.678 * [taylor]: Taking taylor expansion of 4 in n
3.678 * [backup-simplify]: Simplify 4 into 4
3.679 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.679 * [taylor]: Taking taylor expansion of n in n
3.679 * [backup-simplify]: Simplify 0 into 0
3.679 * [backup-simplify]: Simplify 1 into 1
3.679 * [backup-simplify]: Simplify (/ 1 1) into 1
3.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.680 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.681 * [backup-simplify]: Simplify 0 into 0
3.681 * [backup-simplify]: Simplify 0 into 0
3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
3.682 * [backup-simplify]: Simplify (+ 0 0) into 0
3.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2))
3.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
3.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.684 * [backup-simplify]: Simplify (- 0) into 0
3.685 * [backup-simplify]: Simplify (+ 0 0) into 0
3.686 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2))
3.686 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2)))
3.687 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n
3.687 * [taylor]: Taking taylor expansion of 8 in n
3.687 * [backup-simplify]: Simplify 8 into 8
3.687 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
3.687 * [taylor]: Taking taylor expansion of (pow n 2) in n
3.687 * [taylor]: Taking taylor expansion of n in n
3.687 * [backup-simplify]: Simplify 0 into 0
3.687 * [backup-simplify]: Simplify 1 into 1
3.687 * [backup-simplify]: Simplify (* 1 1) into 1
3.688 * [backup-simplify]: Simplify (/ 1 1) into 1
3.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.692 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0
3.692 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.693 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
3.693 * [backup-simplify]: Simplify 0 into 0
3.694 * [backup-simplify]: Simplify 0 into 0
3.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
3.695 * [backup-simplify]: Simplify (+ 0 0) into 0
3.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0
3.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
3.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.698 * [backup-simplify]: Simplify (- 0) into 0
3.698 * [backup-simplify]: Simplify (+ 0 0) into 0
3.699 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0
3.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3)))
3.701 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n
3.701 * [taylor]: Taking taylor expansion of 12 in n
3.701 * [backup-simplify]: Simplify 12 into 12
3.701 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
3.701 * [taylor]: Taking taylor expansion of (pow n 3) in n
3.701 * [taylor]: Taking taylor expansion of n in n
3.701 * [backup-simplify]: Simplify 0 into 0
3.701 * [backup-simplify]: Simplify 1 into 1
3.701 * [backup-simplify]: Simplify (* 1 1) into 1
3.701 * [backup-simplify]: Simplify (* 1 1) into 1
3.702 * [backup-simplify]: Simplify (/ 1 1) into 1
3.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.711 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.711 * [backup-simplify]: Simplify 0 into 0
3.711 * [backup-simplify]: Simplify 1 into 1
3.711 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
3.712 * [backup-simplify]: Simplify (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) into (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3)))
3.712 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in (f n) around 0
3.712 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in n
3.712 * [taylor]: Taking taylor expansion of -1 in n
3.712 * [backup-simplify]: Simplify -1 into -1
3.712 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in n
3.712 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in n
3.712 * [taylor]: Taking taylor expansion of (+ n f) in n
3.712 * [taylor]: Taking taylor expansion of n in n
3.712 * [backup-simplify]: Simplify 0 into 0
3.712 * [backup-simplify]: Simplify 1 into 1
3.712 * [taylor]: Taking taylor expansion of f in n
3.712 * [backup-simplify]: Simplify f into f
3.712 * [backup-simplify]: Simplify (+ 0 f) into f
3.712 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in n
3.712 * [taylor]: Taking taylor expansion of (- f n) in n
3.712 * [taylor]: Taking taylor expansion of f in n
3.712 * [backup-simplify]: Simplify f into f
3.712 * [taylor]: Taking taylor expansion of n in n
3.712 * [backup-simplify]: Simplify 0 into 0
3.712 * [backup-simplify]: Simplify 1 into 1
3.713 * [backup-simplify]: Simplify (- 0) into 0
3.713 * [backup-simplify]: Simplify (+ f 0) into f
3.713 * [backup-simplify]: Simplify (* f f) into (pow f 2)
3.713 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3)
3.713 * [backup-simplify]: Simplify (* f f) into (pow f 2)
3.713 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3)
3.713 * [backup-simplify]: Simplify (/ (pow f 3) (pow f 3)) into 1
3.713 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in f
3.713 * [taylor]: Taking taylor expansion of -1 in f
3.713 * [backup-simplify]: Simplify -1 into -1
3.713 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in f
3.713 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in f
3.713 * [taylor]: Taking taylor expansion of (+ n f) in f
3.713 * [taylor]: Taking taylor expansion of n in f
3.714 * [backup-simplify]: Simplify n into n
3.714 * [taylor]: Taking taylor expansion of f in f
3.714 * [backup-simplify]: Simplify 0 into 0
3.714 * [backup-simplify]: Simplify 1 into 1
3.714 * [backup-simplify]: Simplify (+ n 0) into n
3.714 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in f
3.714 * [taylor]: Taking taylor expansion of (- f n) in f
3.714 * [taylor]: Taking taylor expansion of f in f
3.714 * [backup-simplify]: Simplify 0 into 0
3.714 * [backup-simplify]: Simplify 1 into 1
3.714 * [taylor]: Taking taylor expansion of n in f
3.714 * [backup-simplify]: Simplify n into n
3.714 * [backup-simplify]: Simplify (- n) into (- n)
3.714 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
3.714 * [backup-simplify]: Simplify (* n n) into (pow n 2)
3.714 * [backup-simplify]: Simplify (* n (pow n 2)) into (pow n 3)
3.714 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2)
3.714 * [backup-simplify]: Simplify (* (- n) (pow n 2)) into (* -1 (pow n 3))
3.715 * [backup-simplify]: Simplify (/ (pow n 3) (* -1 (pow n 3))) into -1
3.715 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in f
3.715 * [taylor]: Taking taylor expansion of -1 in f
3.715 * [backup-simplify]: Simplify -1 into -1
3.715 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in f
3.715 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in f
3.715 * [taylor]: Taking taylor expansion of (+ n f) in f
3.715 * [taylor]: Taking taylor expansion of n in f
3.715 * [backup-simplify]: Simplify n into n
3.715 * [taylor]: Taking taylor expansion of f in f
3.715 * [backup-simplify]: Simplify 0 into 0
3.715 * [backup-simplify]: Simplify 1 into 1
3.715 * [backup-simplify]: Simplify (+ n 0) into n
3.715 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in f
3.715 * [taylor]: Taking taylor expansion of (- f n) in f
3.715 * [taylor]: Taking taylor expansion of f in f
3.715 * [backup-simplify]: Simplify 0 into 0
3.715 * [backup-simplify]: Simplify 1 into 1
3.715 * [taylor]: Taking taylor expansion of n in f
3.715 * [backup-simplify]: Simplify n into n
3.715 * [backup-simplify]: Simplify (- n) into (- n)
3.715 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
3.715 * [backup-simplify]: Simplify (* n n) into (pow n 2)
3.715 * [backup-simplify]: Simplify (* n (pow n 2)) into (pow n 3)
3.716 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2)
3.716 * [backup-simplify]: Simplify (* (- n) (pow n 2)) into (* -1 (pow n 3))
3.716 * [backup-simplify]: Simplify (/ (pow n 3) (* -1 (pow n 3))) into -1
3.717 * [backup-simplify]: Simplify (* -1 -1) into 1
3.717 * [taylor]: Taking taylor expansion of 1 in n
3.717 * [backup-simplify]: Simplify 1 into 1
3.717 * [backup-simplify]: Simplify 1 into 1
3.717 * [backup-simplify]: Simplify (+ 0 1) into 1
3.717 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n)
3.717 * [backup-simplify]: Simplify (+ (* n (* 2 n)) (* 1 (pow n 2))) into (* 3 (pow n 2))
3.718 * [backup-simplify]: Simplify (- 0) into 0
3.718 * [backup-simplify]: Simplify (+ 1 0) into 1
3.718 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n))
3.719 * [backup-simplify]: Simplify (+ (* (- n) (- (* 2 n))) (* 1 (pow n 2))) into (* 3 (pow n 2))
3.719 * [backup-simplify]: Simplify (- (/ (* 3 (pow n 2)) (* -1 (pow n 3))) (+ (* -1 (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 6 (/ 1 n)))
3.725 * [backup-simplify]: Simplify (+ (* -1 (- (* 6 (/ 1 n)))) (* 0 -1)) into (* 6 (/ 1 n))
3.725 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n
3.725 * [taylor]: Taking taylor expansion of 6 in n
3.725 * [backup-simplify]: Simplify 6 into 6
3.725 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.725 * [taylor]: Taking taylor expansion of n in n
3.725 * [backup-simplify]: Simplify 0 into 0
3.725 * [backup-simplify]: Simplify 1 into 1
3.725 * [backup-simplify]: Simplify (/ 1 1) into 1
3.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.727 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0
3.727 * [backup-simplify]: Simplify 0 into 0
3.727 * [backup-simplify]: Simplify 0 into 0
3.727 * [backup-simplify]: Simplify (+ 0 0) into 0
3.728 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1
3.728 * [backup-simplify]: Simplify (+ (* n 1) (+ (* 1 (* 2 n)) (* 0 (pow n 2)))) into (* 3 n)
3.729 * [backup-simplify]: Simplify (- 0) into 0
3.729 * [backup-simplify]: Simplify (+ 0 0) into 0
3.729 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1
3.730 * [backup-simplify]: Simplify (+ (* (- n) 1) (+ (* 1 (- (* 2 n))) (* 0 (pow n 2)))) into (- (* 3 n))
3.731 * [backup-simplify]: Simplify (- (/ (* 3 n) (* -1 (pow n 3))) (+ (* -1 (/ (- (* 3 n)) (* -1 (pow n 3)))) (* (- (* 6 (/ 1 n))) (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 18 (/ 1 (pow n 2))))
3.731 * [backup-simplify]: Simplify (+ (* -1 (- (* 18 (/ 1 (pow n 2))))) (+ (* 0 (- (* 6 (/ 1 n)))) (* 0 -1))) into (* 18 (/ 1 (pow n 2)))
3.731 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n
3.732 * [taylor]: Taking taylor expansion of 18 in n
3.732 * [backup-simplify]: Simplify 18 into 18
3.732 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
3.732 * [taylor]: Taking taylor expansion of (pow n 2) in n
3.732 * [taylor]: Taking taylor expansion of n in n
3.732 * [backup-simplify]: Simplify 0 into 0
3.732 * [backup-simplify]: Simplify 1 into 1
3.732 * [backup-simplify]: Simplify (* 1 1) into 1
3.732 * [backup-simplify]: Simplify (/ 1 1) into 1
3.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.736 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0
3.737 * [backup-simplify]: Simplify 0 into 0
3.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.738 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0
3.738 * [backup-simplify]: Simplify 0 into 0
3.738 * [backup-simplify]: Simplify 0 into 0
3.739 * [backup-simplify]: Simplify (+ 0 0) into 0
3.740 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0
3.740 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (+ (* 0 (* 2 n)) (* 0 (pow n 2))))) into 1
3.741 * [backup-simplify]: Simplify (- 0) into 0
3.741 * [backup-simplify]: Simplify (+ 0 0) into 0
3.742 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0
3.743 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (+ (* 0 (- (* 2 n))) (* 0 (pow n 2))))) into 1
3.744 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow n 3))) (+ (* -1 (/ 1 (* -1 (pow n 3)))) (* (- (* 6 (/ 1 n))) (/ (- (* 3 n)) (* -1 (pow n 3)))) (* (- (* 18 (/ 1 (pow n 2)))) (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 38 (/ 1 (pow n 3))))
3.745 * [backup-simplify]: Simplify (+ (* -1 (- (* 38 (/ 1 (pow n 3))))) (+ (* 0 (- (* 18 (/ 1 (pow n 2))))) (+ (* 0 (- (* 6 (/ 1 n)))) (* 0 -1)))) into (* 38 (/ 1 (pow n 3)))
3.745 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n
3.745 * [taylor]: Taking taylor expansion of 38 in n
3.745 * [backup-simplify]: Simplify 38 into 38
3.745 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
3.745 * [taylor]: Taking taylor expansion of (pow n 3) in n
3.745 * [taylor]: Taking taylor expansion of n in n
3.745 * [backup-simplify]: Simplify 0 into 0
3.745 * [backup-simplify]: Simplify 1 into 1
3.746 * [backup-simplify]: Simplify (* 1 1) into 1
3.746 * [backup-simplify]: Simplify (* 1 1) into 1
3.747 * [backup-simplify]: Simplify (/ 1 1) into 1
3.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.755 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.755 * [backup-simplify]: Simplify 0 into 0
3.755 * [backup-simplify]: Simplify 1 into 1
3.756 * [backup-simplify]: Simplify (* (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)))
3.756 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in (f n) around 0
3.756 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in n
3.756 * [taylor]: Taking taylor expansion of -1 in n
3.756 * [backup-simplify]: Simplify -1 into -1
3.756 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in n
3.756 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in n
3.756 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
3.756 * [taylor]: Taking taylor expansion of (/ 1 f) in n
3.756 * [taylor]: Taking taylor expansion of f in n
3.756 * [backup-simplify]: Simplify f into f
3.756 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
3.756 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.757 * [taylor]: Taking taylor expansion of n in n
3.757 * [backup-simplify]: Simplify 0 into 0
3.757 * [backup-simplify]: Simplify 1 into 1
3.757 * [backup-simplify]: Simplify (/ 1 1) into 1
3.757 * [backup-simplify]: Simplify (+ 0 1) into 1
3.757 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in n
3.757 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n
3.758 * [taylor]: Taking taylor expansion of (/ 1 f) in n
3.758 * [taylor]: Taking taylor expansion of f in n
3.758 * [backup-simplify]: Simplify f into f
3.758 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
3.758 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.758 * [taylor]: Taking taylor expansion of n in n
3.758 * [backup-simplify]: Simplify 0 into 0
3.758 * [backup-simplify]: Simplify 1 into 1
3.758 * [backup-simplify]: Simplify (/ 1 1) into 1
3.758 * [backup-simplify]: Simplify (- 1) into -1
3.759 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.759 * [backup-simplify]: Simplify (* 1 1) into 1
3.760 * [backup-simplify]: Simplify (* 1 1) into 1
3.760 * [backup-simplify]: Simplify (* -1 -1) into 1
3.760 * [backup-simplify]: Simplify (* -1 1) into -1
3.761 * [backup-simplify]: Simplify (/ 1 -1) into -1
3.761 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in f
3.761 * [taylor]: Taking taylor expansion of -1 in f
3.761 * [backup-simplify]: Simplify -1 into -1
3.761 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in f
3.761 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f
3.761 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
3.761 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.761 * [taylor]: Taking taylor expansion of f in f
3.761 * [backup-simplify]: Simplify 0 into 0
3.761 * [backup-simplify]: Simplify 1 into 1
3.762 * [backup-simplify]: Simplify (/ 1 1) into 1
3.762 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.762 * [taylor]: Taking taylor expansion of n in f
3.762 * [backup-simplify]: Simplify n into n
3.762 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.762 * [backup-simplify]: Simplify (+ 1 0) into 1
3.762 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in f
3.762 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
3.762 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.762 * [taylor]: Taking taylor expansion of f in f
3.762 * [backup-simplify]: Simplify 0 into 0
3.762 * [backup-simplify]: Simplify 1 into 1
3.763 * [backup-simplify]: Simplify (/ 1 1) into 1
3.763 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.763 * [taylor]: Taking taylor expansion of n in f
3.763 * [backup-simplify]: Simplify n into n
3.763 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.763 * [backup-simplify]: Simplify (+ 1 0) into 1
3.764 * [backup-simplify]: Simplify (* 1 1) into 1
3.764 * [backup-simplify]: Simplify (* 1 1) into 1
3.765 * [backup-simplify]: Simplify (* 1 1) into 1
3.765 * [backup-simplify]: Simplify (* 1 1) into 1
3.765 * [backup-simplify]: Simplify (/ 1 1) into 1
3.765 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in f
3.765 * [taylor]: Taking taylor expansion of -1 in f
3.765 * [backup-simplify]: Simplify -1 into -1
3.765 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in f
3.766 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f
3.766 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
3.766 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.766 * [taylor]: Taking taylor expansion of f in f
3.766 * [backup-simplify]: Simplify 0 into 0
3.766 * [backup-simplify]: Simplify 1 into 1
3.766 * [backup-simplify]: Simplify (/ 1 1) into 1
3.766 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.766 * [taylor]: Taking taylor expansion of n in f
3.766 * [backup-simplify]: Simplify n into n
3.766 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.767 * [backup-simplify]: Simplify (+ 1 0) into 1
3.767 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in f
3.767 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
3.767 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.767 * [taylor]: Taking taylor expansion of f in f
3.767 * [backup-simplify]: Simplify 0 into 0
3.767 * [backup-simplify]: Simplify 1 into 1
3.767 * [backup-simplify]: Simplify (/ 1 1) into 1
3.767 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.767 * [taylor]: Taking taylor expansion of n in f
3.767 * [backup-simplify]: Simplify n into n
3.767 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.768 * [backup-simplify]: Simplify (+ 1 0) into 1
3.768 * [backup-simplify]: Simplify (* 1 1) into 1
3.769 * [backup-simplify]: Simplify (* 1 1) into 1
3.769 * [backup-simplify]: Simplify (* 1 1) into 1
3.769 * [backup-simplify]: Simplify (* 1 1) into 1
3.770 * [backup-simplify]: Simplify (/ 1 1) into 1
3.770 * [backup-simplify]: Simplify (* -1 1) into -1
3.770 * [taylor]: Taking taylor expansion of -1 in n
3.770 * [backup-simplify]: Simplify -1 into -1
3.770 * [backup-simplify]: Simplify -1 into -1
3.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.771 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
3.771 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n))
3.771 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (/ 1 n) 1)) into (* 3 (/ 1 n))
3.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.772 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
3.772 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n))
3.773 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n)))
3.773 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 n)))) (* (- (/ 1 n)) 1)) into (- (* 3 (/ 1 n)))
3.773 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 n)) 1) (+ (* 1 (/ (- (* 3 (/ 1 n))) 1)))) into (* 6 (/ 1 n))
3.774 * [backup-simplify]: Simplify (+ (* -1 (* 6 (/ 1 n))) (* 0 1)) into (- (* 6 (/ 1 n)))
3.774 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n
3.774 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n
3.774 * [taylor]: Taking taylor expansion of 6 in n
3.774 * [backup-simplify]: Simplify 6 into 6
3.774 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.774 * [taylor]: Taking taylor expansion of n in n
3.774 * [backup-simplify]: Simplify 0 into 0
3.774 * [backup-simplify]: Simplify 1 into 1
3.774 * [backup-simplify]: Simplify (/ 1 1) into 1
3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.776 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0
3.776 * [backup-simplify]: Simplify (- 0) into 0
3.776 * [backup-simplify]: Simplify 0 into 0
3.776 * [backup-simplify]: Simplify 0 into 0
3.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
3.778 * [backup-simplify]: Simplify (+ 0 0) into 0
3.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2))
3.780 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (* 2 (/ 1 n))) (* 0 1))) into (* 3 (/ 1 (pow n 2)))
3.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
3.781 * [backup-simplify]: Simplify (- 0) into 0
3.781 * [backup-simplify]: Simplify (+ 0 0) into 0
3.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2))
3.783 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (- (/ 1 n)) (- (* 2 (/ 1 n)))) (* 0 1))) into (* 3 (/ 1 (pow n 2)))
3.784 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 (pow n 2))) 1) (+ (* 1 (/ (* 3 (/ 1 (pow n 2))) 1)) (* (* 6 (/ 1 n)) (/ (- (* 3 (/ 1 n))) 1)))) into (* 18 (/ 1 (pow n 2)))
3.785 * [backup-simplify]: Simplify (+ (* -1 (* 18 (/ 1 (pow n 2)))) (+ (* 0 (* 6 (/ 1 n))) (* 0 1))) into (- (* 18 (/ 1 (pow n 2))))
3.785 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n
3.785 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n
3.785 * [taylor]: Taking taylor expansion of 18 in n
3.785 * [backup-simplify]: Simplify 18 into 18
3.785 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
3.785 * [taylor]: Taking taylor expansion of (pow n 2) in n
3.785 * [taylor]: Taking taylor expansion of n in n
3.785 * [backup-simplify]: Simplify 0 into 0
3.785 * [backup-simplify]: Simplify 1 into 1
3.785 * [backup-simplify]: Simplify (* 1 1) into 1
3.786 * [backup-simplify]: Simplify (/ 1 1) into 1
3.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.790 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0
3.790 * [backup-simplify]: Simplify (- 0) into 0
3.790 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.792 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0
3.793 * [backup-simplify]: Simplify (- 0) into 0
3.793 * [backup-simplify]: Simplify 0 into 0
3.793 * [backup-simplify]: Simplify 0 into 0
3.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
3.794 * [backup-simplify]: Simplify (+ 0 0) into 0
3.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0
3.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (/ 1 (pow n 3))
3.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
3.797 * [backup-simplify]: Simplify (- 0) into 0
3.797 * [backup-simplify]: Simplify (+ 0 0) into 0
3.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0
3.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (/ 1 (pow n 2))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (- (/ 1 (pow n 3)))
3.799 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 3)) 1) (+ (* 1 (/ (- (/ 1 (pow n 3))) 1)) (* (* 6 (/ 1 n)) (/ (* 3 (/ 1 (pow n 2))) 1)) (* (* 18 (/ 1 (pow n 2))) (/ (- (* 3 (/ 1 n))) 1)))) into (* 38 (/ 1 (pow n 3)))
3.799 * [backup-simplify]: Simplify (+ (* -1 (* 38 (/ 1 (pow n 3)))) (+ (* 0 (* 18 (/ 1 (pow n 2)))) (+ (* 0 (* 6 (/ 1 n))) (* 0 1)))) into (- (* 38 (/ 1 (pow n 3))))
3.799 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n
3.799 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n
3.799 * [taylor]: Taking taylor expansion of 38 in n
3.799 * [backup-simplify]: Simplify 38 into 38
3.799 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
3.799 * [taylor]: Taking taylor expansion of (pow n 3) in n
3.799 * [taylor]: Taking taylor expansion of n in n
3.800 * [backup-simplify]: Simplify 0 into 0
3.800 * [backup-simplify]: Simplify 1 into 1
3.800 * [backup-simplify]: Simplify (* 1 1) into 1
3.800 * [backup-simplify]: Simplify (* 1 1) into 1
3.800 * [backup-simplify]: Simplify (/ 1 1) into 1
3.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.805 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.805 * [backup-simplify]: Simplify (- 0) into 0
3.805 * [backup-simplify]: Simplify 0 into 0
3.805 * [backup-simplify]: Simplify -1 into -1
3.806 * [backup-simplify]: Simplify (* (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3))
3.806 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in (f n) around 0
3.806 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in n
3.806 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in n
3.806 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
3.806 * [taylor]: Taking taylor expansion of (/ 1 f) in n
3.806 * [taylor]: Taking taylor expansion of f in n
3.806 * [backup-simplify]: Simplify f into f
3.806 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
3.806 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.806 * [taylor]: Taking taylor expansion of n in n
3.806 * [backup-simplify]: Simplify 0 into 0
3.806 * [backup-simplify]: Simplify 1 into 1
3.807 * [backup-simplify]: Simplify (/ 1 1) into 1
3.807 * [backup-simplify]: Simplify (+ 0 1) into 1
3.807 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in n
3.807 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n
3.807 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.807 * [taylor]: Taking taylor expansion of n in n
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify 1 into 1
3.807 * [backup-simplify]: Simplify (/ 1 1) into 1
3.807 * [taylor]: Taking taylor expansion of (/ 1 f) in n
3.807 * [taylor]: Taking taylor expansion of f in n
3.807 * [backup-simplify]: Simplify f into f
3.807 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
3.807 * [backup-simplify]: Simplify (+ 1 0) into 1
3.808 * [backup-simplify]: Simplify (* 1 1) into 1
3.808 * [backup-simplify]: Simplify (* 1 1) into 1
3.808 * [backup-simplify]: Simplify (* 1 1) into 1
3.808 * [backup-simplify]: Simplify (* 1 1) into 1
3.809 * [backup-simplify]: Simplify (/ 1 1) into 1
3.809 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in f
3.809 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f
3.809 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
3.809 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.809 * [taylor]: Taking taylor expansion of f in f
3.809 * [backup-simplify]: Simplify 0 into 0
3.809 * [backup-simplify]: Simplify 1 into 1
3.809 * [backup-simplify]: Simplify (/ 1 1) into 1
3.809 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.809 * [taylor]: Taking taylor expansion of n in f
3.809 * [backup-simplify]: Simplify n into n
3.809 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.809 * [backup-simplify]: Simplify (+ 1 0) into 1
3.809 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in f
3.809 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
3.809 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.809 * [taylor]: Taking taylor expansion of n in f
3.809 * [backup-simplify]: Simplify n into n
3.809 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.809 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.809 * [taylor]: Taking taylor expansion of f in f
3.810 * [backup-simplify]: Simplify 0 into 0
3.810 * [backup-simplify]: Simplify 1 into 1
3.810 * [backup-simplify]: Simplify (/ 1 1) into 1
3.810 * [backup-simplify]: Simplify (- 1) into -1
3.810 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.810 * [backup-simplify]: Simplify (* 1 1) into 1
3.811 * [backup-simplify]: Simplify (* 1 1) into 1
3.811 * [backup-simplify]: Simplify (* -1 -1) into 1
3.811 * [backup-simplify]: Simplify (* -1 1) into -1
3.811 * [backup-simplify]: Simplify (/ 1 -1) into -1
3.811 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in f
3.811 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f
3.811 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
3.811 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.812 * [taylor]: Taking taylor expansion of f in f
3.812 * [backup-simplify]: Simplify 0 into 0
3.812 * [backup-simplify]: Simplify 1 into 1
3.812 * [backup-simplify]: Simplify (/ 1 1) into 1
3.812 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.812 * [taylor]: Taking taylor expansion of n in f
3.812 * [backup-simplify]: Simplify n into n
3.812 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.812 * [backup-simplify]: Simplify (+ 1 0) into 1
3.812 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in f
3.812 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
3.812 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.812 * [taylor]: Taking taylor expansion of n in f
3.812 * [backup-simplify]: Simplify n into n
3.812 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.812 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.812 * [taylor]: Taking taylor expansion of f in f
3.812 * [backup-simplify]: Simplify 0 into 0
3.812 * [backup-simplify]: Simplify 1 into 1
3.813 * [backup-simplify]: Simplify (/ 1 1) into 1
3.813 * [backup-simplify]: Simplify (- 1) into -1
3.813 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.813 * [backup-simplify]: Simplify (* 1 1) into 1
3.813 * [backup-simplify]: Simplify (* 1 1) into 1
3.814 * [backup-simplify]: Simplify (* -1 -1) into 1
3.814 * [backup-simplify]: Simplify (* -1 1) into -1
3.814 * [backup-simplify]: Simplify (/ 1 -1) into -1
3.814 * [taylor]: Taking taylor expansion of -1 in n
3.814 * [backup-simplify]: Simplify -1 into -1
3.814 * [backup-simplify]: Simplify -1 into -1
3.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.815 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
3.815 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n))
3.815 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (/ 1 n) 1)) into (* 3 (/ 1 n))
3.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.816 * [backup-simplify]: Simplify (- 0) into 0
3.816 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
3.816 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n)))
3.816 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (/ 1 n) 1)) into (* 3 (/ 1 n))
3.816 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 n)) -1) (+ (* -1 (/ (* 3 (/ 1 n)) -1)))) into (- (* 6 (/ 1 n)))
3.816 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n
3.816 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n
3.816 * [taylor]: Taking taylor expansion of 6 in n
3.816 * [backup-simplify]: Simplify 6 into 6
3.816 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.816 * [taylor]: Taking taylor expansion of n in n
3.816 * [backup-simplify]: Simplify 0 into 0
3.816 * [backup-simplify]: Simplify 1 into 1
3.816 * [backup-simplify]: Simplify (/ 1 1) into 1
3.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.817 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0
3.818 * [backup-simplify]: Simplify (- 0) into 0
3.818 * [backup-simplify]: Simplify 0 into 0
3.818 * [backup-simplify]: Simplify 0 into 0
3.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
3.818 * [backup-simplify]: Simplify (+ 0 0) into 0
3.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2))
3.820 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (* 2 (/ 1 n))) (* 0 1))) into (* 3 (/ 1 (pow n 2)))
3.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
3.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.820 * [backup-simplify]: Simplify (- 0) into 0
3.821 * [backup-simplify]: Simplify (+ 0 0) into 0
3.821 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2))
3.822 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 3 (/ 1 (pow n 2))))
3.822 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 (pow n 2))) -1) (+ (* -1 (/ (- (* 3 (/ 1 (pow n 2)))) -1)) (* (- (* 6 (/ 1 n))) (/ (* 3 (/ 1 n)) -1)))) into (- (* 18 (/ 1 (pow n 2))))
3.822 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n
3.822 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n
3.822 * [taylor]: Taking taylor expansion of 18 in n
3.822 * [backup-simplify]: Simplify 18 into 18
3.822 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
3.822 * [taylor]: Taking taylor expansion of (pow n 2) in n
3.822 * [taylor]: Taking taylor expansion of n in n
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 1 into 1
3.823 * [backup-simplify]: Simplify (* 1 1) into 1
3.823 * [backup-simplify]: Simplify (/ 1 1) into 1
3.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.825 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0
3.825 * [backup-simplify]: Simplify (- 0) into 0
3.825 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.826 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0
3.827 * [backup-simplify]: Simplify (- 0) into 0
3.827 * [backup-simplify]: Simplify 0 into 0
3.827 * [backup-simplify]: Simplify 0 into 0
3.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
3.828 * [backup-simplify]: Simplify (+ 0 0) into 0
3.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0
3.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (/ 1 (pow n 3))
3.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
3.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.831 * [backup-simplify]: Simplify (- 0) into 0
3.832 * [backup-simplify]: Simplify (+ 0 0) into 0
3.833 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0
3.834 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (/ 1 (pow n 3))
3.835 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 3)) -1) (+ (* -1 (/ (/ 1 (pow n 3)) -1)) (* (- (* 6 (/ 1 n))) (/ (- (* 3 (/ 1 (pow n 2)))) -1)) (* (- (* 18 (/ 1 (pow n 2)))) (/ (* 3 (/ 1 n)) -1)))) into (- (* 38 (/ 1 (pow n 3))))
3.835 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n
3.835 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n
3.835 * [taylor]: Taking taylor expansion of 38 in n
3.835 * [backup-simplify]: Simplify 38 into 38
3.835 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
3.835 * [taylor]: Taking taylor expansion of (pow n 3) in n
3.835 * [taylor]: Taking taylor expansion of n in n
3.835 * [backup-simplify]: Simplify 0 into 0
3.836 * [backup-simplify]: Simplify 1 into 1
3.836 * [backup-simplify]: Simplify (* 1 1) into 1
3.836 * [backup-simplify]: Simplify (* 1 1) into 1
3.837 * [backup-simplify]: Simplify (/ 1 1) into 1
3.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.849 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.849 * [backup-simplify]: Simplify (- 0) into 0
3.849 * [backup-simplify]: Simplify 0 into 0
3.849 * [backup-simplify]: Simplify -1 into -1
3.850 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2)
3.850 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n)))
3.850 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0
3.850 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n
3.850 * [taylor]: Taking taylor expansion of -1 in n
3.850 * [backup-simplify]: Simplify -1 into -1
3.850 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n
3.850 * [taylor]: Taking taylor expansion of (+ n f) in n
3.850 * [taylor]: Taking taylor expansion of n in n
3.850 * [backup-simplify]: Simplify 0 into 0
3.850 * [backup-simplify]: Simplify 1 into 1
3.850 * [taylor]: Taking taylor expansion of f in n
3.850 * [backup-simplify]: Simplify f into f
3.850 * [taylor]: Taking taylor expansion of (- f n) in n
3.850 * [taylor]: Taking taylor expansion of f in n
3.850 * [backup-simplify]: Simplify f into f
3.850 * [taylor]: Taking taylor expansion of n in n
3.850 * [backup-simplify]: Simplify 0 into 0
3.850 * [backup-simplify]: Simplify 1 into 1
3.850 * [backup-simplify]: Simplify (+ 0 f) into f
3.851 * [backup-simplify]: Simplify (- 0) into 0
3.851 * [backup-simplify]: Simplify (+ f 0) into f
3.851 * [backup-simplify]: Simplify (/ f f) into 1
3.851 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f
3.851 * [taylor]: Taking taylor expansion of -1 in f
3.851 * [backup-simplify]: Simplify -1 into -1
3.851 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f
3.851 * [taylor]: Taking taylor expansion of (+ n f) in f
3.851 * [taylor]: Taking taylor expansion of n in f
3.851 * [backup-simplify]: Simplify n into n
3.851 * [taylor]: Taking taylor expansion of f in f
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [backup-simplify]: Simplify 1 into 1
3.851 * [taylor]: Taking taylor expansion of (- f n) in f
3.851 * [taylor]: Taking taylor expansion of f in f
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [backup-simplify]: Simplify 1 into 1
3.851 * [taylor]: Taking taylor expansion of n in f
3.851 * [backup-simplify]: Simplify n into n
3.851 * [backup-simplify]: Simplify (+ n 0) into n
3.851 * [backup-simplify]: Simplify (- n) into (- n)
3.851 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
3.851 * [backup-simplify]: Simplify (/ n (- n)) into -1
3.851 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f
3.852 * [taylor]: Taking taylor expansion of -1 in f
3.852 * [backup-simplify]: Simplify -1 into -1
3.852 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f
3.852 * [taylor]: Taking taylor expansion of (+ n f) in f
3.852 * [taylor]: Taking taylor expansion of n in f
3.852 * [backup-simplify]: Simplify n into n
3.852 * [taylor]: Taking taylor expansion of f in f
3.852 * [backup-simplify]: Simplify 0 into 0
3.852 * [backup-simplify]: Simplify 1 into 1
3.852 * [taylor]: Taking taylor expansion of (- f n) in f
3.852 * [taylor]: Taking taylor expansion of f in f
3.852 * [backup-simplify]: Simplify 0 into 0
3.852 * [backup-simplify]: Simplify 1 into 1
3.852 * [taylor]: Taking taylor expansion of n in f
3.852 * [backup-simplify]: Simplify n into n
3.852 * [backup-simplify]: Simplify (+ n 0) into n
3.852 * [backup-simplify]: Simplify (- n) into (- n)
3.852 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
3.852 * [backup-simplify]: Simplify (/ n (- n)) into -1
3.853 * [backup-simplify]: Simplify (* -1 -1) into 1
3.853 * [taylor]: Taking taylor expansion of 1 in n
3.853 * [backup-simplify]: Simplify 1 into 1
3.853 * [backup-simplify]: Simplify 1 into 1
3.853 * [backup-simplify]: Simplify (+ 0 1) into 1
3.854 * [backup-simplify]: Simplify (- 0) into 0
3.854 * [backup-simplify]: Simplify (+ 1 0) into 1
3.854 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n)))
3.855 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n))
3.855 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
3.855 * [taylor]: Taking taylor expansion of 2 in n
3.855 * [backup-simplify]: Simplify 2 into 2
3.855 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.855 * [taylor]: Taking taylor expansion of n in n
3.855 * [backup-simplify]: Simplify 0 into 0
3.855 * [backup-simplify]: Simplify 1 into 1
3.855 * [backup-simplify]: Simplify (/ 1 1) into 1
3.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.857 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.857 * [backup-simplify]: Simplify 0 into 0
3.857 * [backup-simplify]: Simplify 0 into 0
3.857 * [backup-simplify]: Simplify (+ 0 0) into 0
3.858 * [backup-simplify]: Simplify (- 0) into 0
3.858 * [backup-simplify]: Simplify (+ 0 0) into 0
3.858 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2))))
3.859 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2)))
3.859 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
3.859 * [taylor]: Taking taylor expansion of 2 in n
3.859 * [backup-simplify]: Simplify 2 into 2
3.859 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
3.859 * [taylor]: Taking taylor expansion of (pow n 2) in n
3.859 * [taylor]: Taking taylor expansion of n in n
3.859 * [backup-simplify]: Simplify 0 into 0
3.859 * [backup-simplify]: Simplify 1 into 1
3.860 * [backup-simplify]: Simplify (* 1 1) into 1
3.860 * [backup-simplify]: Simplify (/ 1 1) into 1
3.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.865 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.865 * [backup-simplify]: Simplify 0 into 0
3.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.866 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.866 * [backup-simplify]: Simplify 0 into 0
3.867 * [backup-simplify]: Simplify 0 into 0
3.867 * [backup-simplify]: Simplify (+ 0 0) into 0
3.867 * [backup-simplify]: Simplify (- 0) into 0
3.868 * [backup-simplify]: Simplify (+ 0 0) into 0
3.868 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3))))
3.869 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3)))
3.869 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
3.869 * [taylor]: Taking taylor expansion of 2 in n
3.870 * [backup-simplify]: Simplify 2 into 2
3.870 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
3.870 * [taylor]: Taking taylor expansion of (pow n 3) in n
3.870 * [taylor]: Taking taylor expansion of n in n
3.870 * [backup-simplify]: Simplify 0 into 0
3.870 * [backup-simplify]: Simplify 1 into 1
3.870 * [backup-simplify]: Simplify (* 1 1) into 1
3.870 * [backup-simplify]: Simplify (* 1 1) into 1
3.871 * [backup-simplify]: Simplify (/ 1 1) into 1
3.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.880 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.880 * [backup-simplify]: Simplify 0 into 0
3.880 * [backup-simplify]: Simplify 1 into 1
3.880 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))
3.880 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0
3.880 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n
3.880 * [taylor]: Taking taylor expansion of -1 in n
3.880 * [backup-simplify]: Simplify -1 into -1
3.880 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n
3.880 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
3.880 * [taylor]: Taking taylor expansion of (/ 1 f) in n
3.880 * [taylor]: Taking taylor expansion of f in n
3.881 * [backup-simplify]: Simplify f into f
3.881 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
3.881 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.881 * [taylor]: Taking taylor expansion of n in n
3.881 * [backup-simplify]: Simplify 0 into 0
3.881 * [backup-simplify]: Simplify 1 into 1
3.881 * [backup-simplify]: Simplify (/ 1 1) into 1
3.881 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n
3.881 * [taylor]: Taking taylor expansion of (/ 1 f) in n
3.881 * [taylor]: Taking taylor expansion of f in n
3.881 * [backup-simplify]: Simplify f into f
3.881 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
3.881 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.881 * [taylor]: Taking taylor expansion of n in n
3.881 * [backup-simplify]: Simplify 0 into 0
3.881 * [backup-simplify]: Simplify 1 into 1
3.882 * [backup-simplify]: Simplify (/ 1 1) into 1
3.882 * [backup-simplify]: Simplify (+ 0 1) into 1
3.883 * [backup-simplify]: Simplify (- 1) into -1
3.883 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.884 * [backup-simplify]: Simplify (/ 1 -1) into -1
3.884 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f
3.884 * [taylor]: Taking taylor expansion of -1 in f
3.884 * [backup-simplify]: Simplify -1 into -1
3.884 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f
3.884 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
3.884 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.884 * [taylor]: Taking taylor expansion of f in f
3.884 * [backup-simplify]: Simplify 0 into 0
3.884 * [backup-simplify]: Simplify 1 into 1
3.884 * [backup-simplify]: Simplify (/ 1 1) into 1
3.884 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.884 * [taylor]: Taking taylor expansion of n in f
3.884 * [backup-simplify]: Simplify n into n
3.884 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.885 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
3.885 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.885 * [taylor]: Taking taylor expansion of f in f
3.885 * [backup-simplify]: Simplify 0 into 0
3.885 * [backup-simplify]: Simplify 1 into 1
3.885 * [backup-simplify]: Simplify (/ 1 1) into 1
3.885 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.885 * [taylor]: Taking taylor expansion of n in f
3.885 * [backup-simplify]: Simplify n into n
3.885 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.886 * [backup-simplify]: Simplify (+ 1 0) into 1
3.886 * [backup-simplify]: Simplify (+ 1 0) into 1
3.886 * [backup-simplify]: Simplify (/ 1 1) into 1
3.886 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f
3.886 * [taylor]: Taking taylor expansion of -1 in f
3.886 * [backup-simplify]: Simplify -1 into -1
3.886 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f
3.886 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
3.887 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.887 * [taylor]: Taking taylor expansion of f in f
3.887 * [backup-simplify]: Simplify 0 into 0
3.887 * [backup-simplify]: Simplify 1 into 1
3.887 * [backup-simplify]: Simplify (/ 1 1) into 1
3.887 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.887 * [taylor]: Taking taylor expansion of n in f
3.887 * [backup-simplify]: Simplify n into n
3.887 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.887 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
3.887 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.887 * [taylor]: Taking taylor expansion of f in f
3.887 * [backup-simplify]: Simplify 0 into 0
3.887 * [backup-simplify]: Simplify 1 into 1
3.888 * [backup-simplify]: Simplify (/ 1 1) into 1
3.888 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.888 * [taylor]: Taking taylor expansion of n in f
3.888 * [backup-simplify]: Simplify n into n
3.888 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.888 * [backup-simplify]: Simplify (+ 1 0) into 1
3.889 * [backup-simplify]: Simplify (+ 1 0) into 1
3.889 * [backup-simplify]: Simplify (/ 1 1) into 1
3.889 * [backup-simplify]: Simplify (* -1 1) into -1
3.889 * [taylor]: Taking taylor expansion of -1 in n
3.890 * [backup-simplify]: Simplify -1 into -1
3.890 * [backup-simplify]: Simplify -1 into -1
3.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.890 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.891 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
3.891 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n))
3.892 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n))
3.892 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n)))
3.892 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n
3.892 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
3.892 * [taylor]: Taking taylor expansion of 2 in n
3.892 * [backup-simplify]: Simplify 2 into 2
3.892 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.892 * [taylor]: Taking taylor expansion of n in n
3.892 * [backup-simplify]: Simplify 0 into 0
3.892 * [backup-simplify]: Simplify 1 into 1
3.893 * [backup-simplify]: Simplify (/ 1 1) into 1
3.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.894 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.895 * [backup-simplify]: Simplify (- 0) into 0
3.895 * [backup-simplify]: Simplify 0 into 0
3.895 * [backup-simplify]: Simplify 0 into 0
3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
3.896 * [backup-simplify]: Simplify (+ 0 0) into 0
3.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
3.898 * [backup-simplify]: Simplify (- 0) into 0
3.898 * [backup-simplify]: Simplify (+ 0 0) into 0
3.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2)))
3.900 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2))))
3.900 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n
3.900 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
3.900 * [taylor]: Taking taylor expansion of 2 in n
3.900 * [backup-simplify]: Simplify 2 into 2
3.900 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
3.900 * [taylor]: Taking taylor expansion of (pow n 2) in n
3.900 * [taylor]: Taking taylor expansion of n in n
3.900 * [backup-simplify]: Simplify 0 into 0
3.900 * [backup-simplify]: Simplify 1 into 1
3.901 * [backup-simplify]: Simplify (* 1 1) into 1
3.901 * [backup-simplify]: Simplify (/ 1 1) into 1
3.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.905 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.906 * [backup-simplify]: Simplify (- 0) into 0
3.906 * [backup-simplify]: Simplify 0 into 0
3.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.908 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.908 * [backup-simplify]: Simplify (- 0) into 0
3.908 * [backup-simplify]: Simplify 0 into 0
3.908 * [backup-simplify]: Simplify 0 into 0
3.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
3.910 * [backup-simplify]: Simplify (+ 0 0) into 0
3.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
3.911 * [backup-simplify]: Simplify (- 0) into 0
3.911 * [backup-simplify]: Simplify (+ 0 0) into 0
3.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3)))
3.914 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3))))
3.914 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n
3.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
3.914 * [taylor]: Taking taylor expansion of 2 in n
3.914 * [backup-simplify]: Simplify 2 into 2
3.915 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
3.915 * [taylor]: Taking taylor expansion of (pow n 3) in n
3.915 * [taylor]: Taking taylor expansion of n in n
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify 1 into 1
3.915 * [backup-simplify]: Simplify (* 1 1) into 1
3.915 * [backup-simplify]: Simplify (* 1 1) into 1
3.916 * [backup-simplify]: Simplify (/ 1 1) into 1
3.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.925 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.925 * [backup-simplify]: Simplify (- 0) into 0
3.925 * [backup-simplify]: Simplify 0 into 0
3.925 * [backup-simplify]: Simplify -1 into -1
3.926 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))
3.926 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0
3.926 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n
3.926 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
3.926 * [taylor]: Taking taylor expansion of (/ 1 f) in n
3.926 * [taylor]: Taking taylor expansion of f in n
3.926 * [backup-simplify]: Simplify f into f
3.926 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
3.926 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.926 * [taylor]: Taking taylor expansion of n in n
3.926 * [backup-simplify]: Simplify 0 into 0
3.926 * [backup-simplify]: Simplify 1 into 1
3.927 * [backup-simplify]: Simplify (/ 1 1) into 1
3.927 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n
3.927 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.927 * [taylor]: Taking taylor expansion of n in n
3.927 * [backup-simplify]: Simplify 0 into 0
3.927 * [backup-simplify]: Simplify 1 into 1
3.927 * [backup-simplify]: Simplify (/ 1 1) into 1
3.927 * [taylor]: Taking taylor expansion of (/ 1 f) in n
3.927 * [taylor]: Taking taylor expansion of f in n
3.927 * [backup-simplify]: Simplify f into f
3.927 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
3.928 * [backup-simplify]: Simplify (+ 0 1) into 1
3.928 * [backup-simplify]: Simplify (+ 1 0) into 1
3.928 * [backup-simplify]: Simplify (/ 1 1) into 1
3.928 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f
3.928 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
3.928 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.929 * [taylor]: Taking taylor expansion of f in f
3.929 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify 1 into 1
3.929 * [backup-simplify]: Simplify (/ 1 1) into 1
3.929 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.929 * [taylor]: Taking taylor expansion of n in f
3.929 * [backup-simplify]: Simplify n into n
3.929 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.929 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
3.929 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.929 * [taylor]: Taking taylor expansion of n in f
3.929 * [backup-simplify]: Simplify n into n
3.929 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.929 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.929 * [taylor]: Taking taylor expansion of f in f
3.929 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify 1 into 1
3.930 * [backup-simplify]: Simplify (/ 1 1) into 1
3.930 * [backup-simplify]: Simplify (+ 1 0) into 1
3.931 * [backup-simplify]: Simplify (- 1) into -1
3.931 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.931 * [backup-simplify]: Simplify (/ 1 -1) into -1
3.931 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f
3.931 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
3.931 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.932 * [taylor]: Taking taylor expansion of f in f
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify 1 into 1
3.932 * [backup-simplify]: Simplify (/ 1 1) into 1
3.932 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.932 * [taylor]: Taking taylor expansion of n in f
3.932 * [backup-simplify]: Simplify n into n
3.932 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.932 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
3.932 * [taylor]: Taking taylor expansion of (/ 1 n) in f
3.932 * [taylor]: Taking taylor expansion of n in f
3.932 * [backup-simplify]: Simplify n into n
3.932 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
3.932 * [taylor]: Taking taylor expansion of (/ 1 f) in f
3.932 * [taylor]: Taking taylor expansion of f in f
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify 1 into 1
3.933 * [backup-simplify]: Simplify (/ 1 1) into 1
3.933 * [backup-simplify]: Simplify (+ 1 0) into 1
3.934 * [backup-simplify]: Simplify (- 1) into -1
3.934 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.934 * [backup-simplify]: Simplify (/ 1 -1) into -1
3.935 * [taylor]: Taking taylor expansion of -1 in n
3.935 * [backup-simplify]: Simplify -1 into -1
3.935 * [backup-simplify]: Simplify -1 into -1
3.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.935 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
3.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.937 * [backup-simplify]: Simplify (- 0) into 0
3.937 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
3.937 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n)))
3.937 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n
3.937 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
3.937 * [taylor]: Taking taylor expansion of 2 in n
3.937 * [backup-simplify]: Simplify 2 into 2
3.937 * [taylor]: Taking taylor expansion of (/ 1 n) in n
3.937 * [taylor]: Taking taylor expansion of n in n
3.937 * [backup-simplify]: Simplify 0 into 0
3.937 * [backup-simplify]: Simplify 1 into 1
3.937 * [backup-simplify]: Simplify (/ 1 1) into 1
3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.939 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.939 * [backup-simplify]: Simplify (- 0) into 0
3.939 * [backup-simplify]: Simplify 0 into 0
3.939 * [backup-simplify]: Simplify 0 into 0
3.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
3.940 * [backup-simplify]: Simplify (+ 0 0) into 0
3.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
3.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.941 * [backup-simplify]: Simplify (- 0) into 0
3.941 * [backup-simplify]: Simplify (+ 0 0) into 0
3.942 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2))))
3.942 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n
3.942 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
3.942 * [taylor]: Taking taylor expansion of 2 in n
3.942 * [backup-simplify]: Simplify 2 into 2
3.942 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
3.942 * [taylor]: Taking taylor expansion of (pow n 2) in n
3.942 * [taylor]: Taking taylor expansion of n in n
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify 1 into 1
3.942 * [backup-simplify]: Simplify (* 1 1) into 1
3.942 * [backup-simplify]: Simplify (/ 1 1) into 1
3.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.945 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.945 * [backup-simplify]: Simplify (- 0) into 0
3.945 * [backup-simplify]: Simplify 0 into 0
3.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.946 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.946 * [backup-simplify]: Simplify (- 0) into 0
3.946 * [backup-simplify]: Simplify 0 into 0
3.946 * [backup-simplify]: Simplify 0 into 0
3.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
3.948 * [backup-simplify]: Simplify (+ 0 0) into 0
3.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
3.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.949 * [backup-simplify]: Simplify (- 0) into 0
3.949 * [backup-simplify]: Simplify (+ 0 0) into 0
3.951 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3))))
3.951 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n
3.951 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
3.952 * [taylor]: Taking taylor expansion of 2 in n
3.952 * [backup-simplify]: Simplify 2 into 2
3.952 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
3.952 * [taylor]: Taking taylor expansion of (pow n 3) in n
3.952 * [taylor]: Taking taylor expansion of n in n
3.952 * [backup-simplify]: Simplify 0 into 0
3.952 * [backup-simplify]: Simplify 1 into 1
3.952 * [backup-simplify]: Simplify (* 1 1) into 1
3.952 * [backup-simplify]: Simplify (* 1 1) into 1
3.953 * [backup-simplify]: Simplify (/ 1 1) into 1
3.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.961 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.961 * [backup-simplify]: Simplify (- 0) into 0
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify -1 into -1
3.961 * * * [progress]: simplifying candidates
3.974 * [simplify]: Simplifying:
  (expm1 (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))))
  (log1p (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))))
  (log (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))))
  (exp (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))))
  (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
  (cbrt (/ (- (+ f n)) (- f n)))
  (cbrt (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))))
  (cbrt (* (* (- f n) (- f n)) (- f n)))
  (cbrt (* (* (/ (- (+ f n)) (- f n)) (- (+ f n))) (- (+ f n))))
  (cbrt (* (- f n) (- f n)))
  (cbrt (* (* (- (+ f n)) (/ (- (+ f n)) (- f n))) (- (+ f n))))
  (cbrt (* (- f n) (- f n)))
  (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (- (+ f n))))
  (cbrt (- f n))
  (cbrt (* (* (- (+ f n)) (- (+ f n))) (/ (- (+ f n)) (- f n))))
  (cbrt (* (- f n) (- f n)))
  (cbrt (* (* (/ (- (+ f n)) (- f n)) (- (+ f n))) (/ (- (+ f n)) (- f n))))
  (cbrt (- f n))
  (cbrt (* (* (- (+ f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))
  (cbrt (- f n))
  (* (cbrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (cbrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))))
  (cbrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))))
  (* (* (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))) (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))))
  (sqrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))))
  (sqrt (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))))
  (expm1 (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
  (log1p (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
  (+ 1 1)
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (+ 1 1)
  (+ (- (log (- (+ f n))) (log (- f n))) (- (log (- (+ f n))) (log (- f n))))
  (+ (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))))
  (+ (log (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))))
  (+ (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))))
  (log (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
  (exp (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
  (* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))))
  (* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))
  (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))))
  (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))
  (* (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))))
  (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
  (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
  (sqrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
  (sqrt (* (/ (- (+ 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))) (cbrt (/ (- (+ f n)) (- f n)))))
  (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
  (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))))
  (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ 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)))))
  (* (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (cbrt (- (+ f n))) (cbrt (- f n))))
  (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))))
  (* (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))))
  (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1))
  (* (/ (cbrt (- (+ f n))) (- f n)) (/ (cbrt (- (+ f n))) (- f n)))
  (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1))
  (* (/ (cbrt (- (+ f n))) (- f n)) (/ (cbrt (- (+ f n))) (- f n)))
  (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt 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))) (cbrt (- (+ f n)))) 1))
  (* (/ (cbrt (- (+ f n))) (- f n)) (/ (cbrt (- (+ f n))) (- f n)))
  (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1))
  (* (/ (cbrt (- (+ f n))) (- f n)) (/ (cbrt (- (+ f n))) (- f n)))
  (* (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))
  (* (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (cbrt (- f n))))
  (* (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))))
  (* (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))))
  (* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) 1))
  (* (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (- f n)))
  (* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) 1))
  (* (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (- f n)))
  (* (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))))
  (* (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))))
  (* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) 1))
  (* (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (- f n)))
  (* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) 1))
  (* (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (- f n)))
  (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))
  (* (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n))))
  (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))
  (* (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n))))
  (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))
  (* (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n))))
  (* (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))))
  (* (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))))
  (* (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))))
  (* (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))))
  (* (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))))
  (* (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))))
  (* (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))))
  (* (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))))
  (* (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))))
  (* (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))))
  (* (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))))
  (* (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))))
  (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))))
  (* (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))
  (* (/ -1 1) (/ -1 1))
  (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))
  (* (/ -1 1) (/ -1 1))
  (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))
  (* (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))))
  (* (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))))
  (* (/ -1 1) (/ -1 1))
  (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))
  (* (/ -1 1) (/ -1 1))
  (* (/ (+ f n) (- 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)))))
  (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n))))
  (* (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))))
  (* (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))))
  (* (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))
  (* (/ (cbrt (+ f n)) (- f n)) (/ (cbrt (+ f n)) (- f n)))
  (* (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))
  (* (/ (cbrt (+ f n)) (- f n)) (/ (cbrt (+ f n)) (- f n)))
  (* (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt 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)) (cbrt (+ f n)))) 1))
  (* (/ (cbrt (+ f n)) (- f n)) (/ (cbrt (+ f n)) (- f n)))
  (* (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))
  (* (/ (cbrt (+ f n)) (- f n)) (/ (cbrt (+ f n)) (- f n)))
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  (/ 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 (cbrt -1))
  (cbrt -1)
  -1
  1
  1
  1
  1
  -1
  -1
  1
  -1
  -1
3.985 * * [simplify]: iteration 0: 410 enodes
4.181 * * [simplify]: iteration 1: 1602 enodes
4.979 * * [simplify]: iteration complete: 5001 enodes
4.979 * * [simplify]: Extracting #0: cost 288 inf + 0
4.983 * * [simplify]: Extracting #1: cost 1535 inf + 86
4.990 * * [simplify]: Extracting #2: cost 2105 inf + 1085
5.008 * * [simplify]: Extracting #3: cost 1620 inf + 100712
5.109 * * [simplify]: Extracting #4: cost 518 inf + 434202
5.228 * * [simplify]: Extracting #5: cost 56 inf + 599688
5.381 * * [simplify]: Extracting #6: cost 0 inf + 618059
5.487 * * [simplify]: Extracting #7: cost 0 inf + 618019
5.592 * [simplify]: Simplified to:
  (expm1 (cbrt (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))))
  (log1p (cbrt (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))))
  (log (cbrt (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))))
  (exp (cbrt (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))))
  (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (cbrt (/ (- (+ n f)) (- f n)))
  (cbrt (* (- (+ n f)) (* (+ n f) (+ n f))))
  (cbrt (* (- f n) (* (- f n) (- f n))))
  (cbrt (* (* (/ (- (+ n f)) (- f n)) (- (+ n f))) (- (+ n f))))
  (cbrt (* (- f n) (- f n)))
  (cbrt (* (* (/ (- (+ n f)) (- f n)) (- (+ n f))) (- (+ n f))))
  (cbrt (* (- f n) (- f n)))
  (cbrt (* (* (/ (- (+ n f)) (- f n)) (- (+ n f))) (/ (- (+ n f)) (- f n))))
  (cbrt (- f n))
  (cbrt (* (* (/ (- (+ n f)) (- f n)) (- (+ n f))) (- (+ n f))))
  (cbrt (* (- f n) (- f n)))
  (cbrt (* (* (/ (- (+ n f)) (- f n)) (- (+ n f))) (/ (- (+ n f)) (- f n))))
  (cbrt (- f n))
  (cbrt (* (* (/ (- (+ n f)) (- f n)) (- (+ n f))) (/ (- (+ n f)) (- f n))))
  (cbrt (- f n))
  (* (cbrt (cbrt (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))) (cbrt (cbrt (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))))
  (cbrt (cbrt (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))))
  (* (cbrt (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))) (* (cbrt (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))) (cbrt (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))))
  (sqrt (cbrt (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))))
  (sqrt (cbrt (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))))
  (expm1 (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (log1p (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  2
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  2
  (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (exp (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (* (/ (* (- (+ n f)) (* (+ n f) (+ n f))) (* (- f n) (* (- f n) (- f n)))) (/ (* (- (+ n f)) (* (+ n f) (+ n f))) (* (- f n) (* (- f n) (- f n)))))
  (* (/ (* (+ n f) (+ n f)) (* (- f n) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))
  (* (/ (* (+ n f) (+ n f)) (* (- f n) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))
  (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))
  (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (fabs (/ (- (+ n f)) (- f n)))
  (fabs (/ (- (+ n f)) (- f n)))
  (* (+ n f) (+ n f))
  (* (- f n) (- f n))
  (* (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))))
  (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n))))
  (/ (- (+ n f)) (- f n))
  (/ (- (+ n f)) (- f n))
  (* (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))))
  (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n))))
  (* (/ (cbrt (- (+ n f))) (/ (sqrt (- f n)) (cbrt (- (+ n f))))) (/ (cbrt (- (+ n f))) (/ (sqrt (- f n)) (cbrt (- (+ n f))))))
  (* (/ (cbrt (- (+ n f))) (sqrt (- f n))) (/ (cbrt (- (+ n f))) (sqrt (- f n))))
  (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))))
  (* (/ (cbrt (- (+ n f))) (- f n)) (/ (cbrt (- (+ n f))) (- f n)))
  (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))))
  (* (/ (cbrt (- (+ n f))) (- f n)) (/ (cbrt (- (+ n f))) (- f n)))
  (* (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (+ (sqrt n) (sqrt f))))
  (* (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))))
  (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))))
  (* (/ (cbrt (- (+ n f))) (- f n)) (/ (cbrt (- (+ n f))) (- f n)))
  (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))))
  (* (/ (cbrt (- (+ n f))) (- f n)) (/ (cbrt (- (+ n f))) (- f n)))
  (* (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))))
  (* (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (cbrt (- f n))))
  (* (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))))
  (* (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))))
  (- (+ n f))
  (* (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (- f n)))
  (- (+ n f))
  (* (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (- f n)))
  (* (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f))))
  (* (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))))
  (- (+ n f))
  (* (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (- f n)))
  (- (+ n f))
  (* (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (- f n)))
  (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))))
  (* (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))))
  (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))))
  (* (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))))
  (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))))
  (* (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))))
  (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))))
  (* (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))
  (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))))
  (* (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))
  (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))))
  (* (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  (* (/ -1 (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))))
  (* (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))))
  (* (/ -1 (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))))
  (* (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))))
  (* (/ -1 (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))))
  (* (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))))
  (* (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))))
  (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))))
  (* (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  (* (/ -1 (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))))
  (* (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  (* (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))))
  (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))
  (* (* (cbrt (+ n f)) (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (/ (cbrt (+ n f)) (sqrt (- f n)))))
  (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (cbrt (+ n f)) (sqrt (- f n))))
  (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (+ n f)) (cbrt (+ n f))))
  (* (/ (cbrt (+ n f)) (- f n)) (/ (cbrt (+ n f)) (- f n)))
  (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (+ n f)) (cbrt (+ n f))))
  (* (/ (cbrt (+ n f)) (- f n)) (/ (cbrt (+ n f)) (- f n)))
  (* (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))))
  (* (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))))
  (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (+ n f)) (cbrt (+ n f))))
  (* (/ (cbrt (+ n f)) (- f n)) (/ (cbrt (+ n f)) (- f n)))
  (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (+ n f)) (cbrt (+ n f))))
  (* (/ (cbrt (+ n f)) (- f n)) (/ (cbrt (+ n f)) (- f n)))
  (* (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))))
  (* (/ (sqrt (+ n f)) (cbrt (- f n))) (/ (sqrt (+ n f)) (cbrt (- f n))))
  (* (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))))
  (* (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))))
  (+ n f)
  (* (/ (sqrt (+ n f)) (- f n)) (/ (sqrt (+ n f)) (- f n)))
  (+ n f)
  (* (/ (sqrt (+ n f)) (- f n)) (/ (sqrt (+ n f)) (- f n)))
  (* (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))))
  (* (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))))
  (+ n f)
  (* (/ (sqrt (+ n f)) (- f n)) (/ (sqrt (+ n f)) (- f n)))
  (+ n f)
  (* (/ (sqrt (+ n f)) (- f n)) (/ (sqrt (+ n f)) (- f n)))
  (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))))
  (* (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))))
  (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))))
  (* (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))))
  (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))))
  (* (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))
  (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))))
  (* (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  (* (/ -1 (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))))
  (* (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))))
  (* (/ -1 (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))))
  (* (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))))
  (* (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))))
  (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))))
  (* (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))))
  (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))))
  (* (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))
  (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))))
  (* (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  (* (/ -1 (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))))
  (* (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))))
  (* (/ -1 (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))))
  (* (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  (* (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))))
  (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))
  (* (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))))
  (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (cbrt (+ n f)) (sqrt (- f n))))
  (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (+ n f)) (cbrt (+ n f))))
  (* (/ (cbrt (+ n f)) (- f n)) (/ (cbrt (+ n f)) (- f n)))
  (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (+ n f)) (cbrt (+ n f))))
  (* (/ (cbrt (+ n f)) (- f n)) (/ (cbrt (+ n f)) (- f n)))
  (* (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))))
  (* (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))))
  (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (+ n f)) (cbrt (+ n f))))
  (* (/ (cbrt (+ n f)) (- f n)) (/ (cbrt (+ n f)) (- f n)))
  (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (+ n f)) (cbrt (+ n f))))
  (* (/ (cbrt (+ n f)) (- f n)) (/ (cbrt (+ n f)) (- f n)))
  (* (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))))
  (* (/ (sqrt (+ n f)) (cbrt (- f n))) (/ (sqrt (+ n f)) (cbrt (- f n))))
  (* (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))))
  (* (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))))
  (+ n f)
  (* (/ (sqrt (+ n f)) (- f n)) (/ (sqrt (+ n f)) (- f n)))
  (+ n f)
  (* (/ (sqrt (+ n f)) (- f n)) (/ (sqrt (+ n f)) (- f n)))
  (* (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))))
  (* (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))))
  (+ n f)
  (* (/ (sqrt (+ n f)) (- f n)) (/ (sqrt (+ n f)) (- f n)))
  (+ n f)
  (* (/ (sqrt (+ n f)) (- f n)) (/ (sqrt (+ n f)) (- f n)))
  (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))))
  (* (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))))
  (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))))
  (* (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))))
  (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))))
  (* (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))))
  (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))))
  (* (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))
  (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))))
  (* (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))
  (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))))
  (* (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  1
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  (/ (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (+ (sqrt n) (sqrt f)))
  (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (* (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (/ (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (cbrt (+ n f)))) (cbrt (+ n f))) (sqrt (- f n)))
  (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (cbrt (+ n f)))) (cbrt (+ n f)))
  (/ (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (cbrt (+ n f)))) (cbrt (+ n f))) (+ (sqrt n) (sqrt f)))
  (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (cbrt (+ n f)))) (cbrt (+ n f)))
  (* (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (cbrt (- f n))) (/ (- (sqrt (+ n f))) (cbrt (- f n))))
  (/ (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (sqrt (+ n f)))) (sqrt (- f n)))
  (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (sqrt (+ n f))))
  (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f))))
  (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (sqrt (+ n f))))
  (- (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (- f n)) (cbrt (- f n)))))
  (/ (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) -1) (sqrt (- f n)))
  (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (/ (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (+ (sqrt n) (sqrt f)))
  (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (- (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (- f n)) (cbrt (- f n)))))
  (/ (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) -1) (sqrt (- f n)))
  (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (/ (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (+ (sqrt n) (sqrt f)))
  (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (* (/ (* (/ (- (+ n f)) (- f n)) (cbrt (+ n f))) (cbrt (- f n))) (/ (* (/ (- (+ n f)) (- f n)) (cbrt (+ n f))) (cbrt (- f n))))
  (/ (* (* (cbrt (+ n f)) (/ (- (+ n f)) (- f n))) (* (cbrt (+ n f)) (/ (- (+ n f)) (- f n)))) (sqrt (- f n)))
  (* (* (cbrt (+ n f)) (/ (- (+ n f)) (- f n))) (* (cbrt (+ n f)) (/ (- (+ n f)) (- f n))))
  (/ (* (* (cbrt (+ n f)) (/ (- (+ n f)) (- f n))) (* (cbrt (+ n f)) (/ (- (+ n f)) (- f n)))) (+ (sqrt n) (sqrt f)))
  (* (* (cbrt (+ n f)) (/ (- (+ n f)) (- f n))) (* (cbrt (+ n f)) (/ (- (+ n f)) (- f n))))
  (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))))
  (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))))
  (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (sqrt (+ n f)))
  (/ (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (sqrt (+ n f))) (+ (sqrt n) (sqrt f)))
  (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (sqrt (+ n f)))
  (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (sqrt (- f n)))
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (+ (sqrt n) (sqrt f)))
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (sqrt (- f n)))
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (+ (sqrt n) (sqrt f)))
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  (* (* (/ (- (+ n f)) (- f n)) (- (+ n f))) (/ (- (+ n f)) (- f n)))
  (* (- (/ (+ n f) (- (* (* f f) f) (* (* n n) n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (* (/ (- (+ n f)) (- f n)) (* (/ (/ (- (+ n f)) (- f n)) (+ n f)) (/ (- (+ n f)) (- f n))))
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  (* (* (/ (- (+ n f)) (- f n)) (- (+ n f))) (/ (- (+ n f)) (- f n)))
  (* (* (/ (- (+ n f)) (- f n)) (- (+ n f))) (- (+ n f)))
  (* (* (/ (- (+ n f)) (- f n)) (- (+ n f))) (/ (- (+ n f)) (- f n)))
  (* (* (/ (- (+ n f)) (- f n)) (- (+ n f))) (/ (- (+ n f)) (- f n)))
  (expm1 (/ (- (+ n f)) (- f n)))
  (log1p (/ (- (+ n f)) (- f n)))
  (log (/ (- (+ n f)) (- f n)))
  (log (/ (- (+ n f)) (- f n)))
  (exp (/ (- (+ n f)) (- f n)))
  (/ (* (- (+ n f)) (* (+ n f) (+ n f))) (* (- f n) (* (- f n) (- f n))))
  (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n))))
  (cbrt (/ (- (+ n f)) (- f n)))
  (- (* (/ (+ n f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))
  (sqrt (/ (- (+ n f)) (- f n)))
  (sqrt (/ (- (+ n f)) (- f n)))
  (+ n f)
  (- (- f n))
  0
  (/ (+ n f) (- f n))
  (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n))))
  (/ (cbrt (- (+ n f))) (cbrt (- f n)))
  (/ (cbrt (- (+ n f))) (/ (sqrt (- f n)) (cbrt (- (+ n f)))))
  (/ (cbrt (- (+ n f))) (sqrt (- f n)))
  (* (cbrt (- (+ n f))) (cbrt (- (+ n f))))
  (/ (cbrt (- (+ n f))) (- f n))
  (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (+ (sqrt n) (sqrt f)))
  (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n)))
  (* (cbrt (- (+ n f))) (cbrt (- (+ n f))))
  (/ (cbrt (- (+ n f))) (- f n))
  (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (sqrt (- (+ n f))) (cbrt (- f n)))
  (/ (sqrt (- (+ n f))) (sqrt (- f n)))
  (/ (sqrt (- (+ n f))) (sqrt (- f n)))
  (sqrt (- (+ n f)))
  (/ (sqrt (- (+ n f))) (- f n))
  (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f)))
  (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n)))
  (sqrt (- (+ n f)))
  (/ (sqrt (- (+ n f))) (- f n))
  (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))
  (- (/ (+ n f) (cbrt (- f n))))
  (/ 1 (sqrt (- f n)))
  (/ (- (+ n f)) (sqrt (- f n)))
  1
  (/ (- (+ n f)) (- f n))
  (/ 1 (+ (sqrt n) (sqrt f)))
  (/ (- (+ n f)) (- (sqrt f) (sqrt n)))
  1
  (/ (- (+ n f)) (- f n))
  (/ (/ -1 (cbrt (- f n))) (cbrt (- f n)))
  (/ (+ n f) (cbrt (- f n)))
  (/ -1 (sqrt (- f n)))
  (/ (+ n f) (sqrt (- f n)))
  -1
  (/ (+ n f) (- f n))
  (/ -1 (+ (sqrt n) (sqrt f)))
  (/ (+ n f) (- (sqrt f) (sqrt n)))
  -1
  (/ (+ n f) (- f n))
  (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))))
  (/ (cbrt (+ n f)) (cbrt (- f n)))
  (- (* (cbrt (+ n f)) (/ (cbrt (+ n f)) (sqrt (- f n)))))
  (/ (cbrt (+ n f)) (sqrt (- f n)))
  (- (* (cbrt (+ n f)) (cbrt (+ n f))))
  (/ (cbrt (+ n f)) (- f n))
  (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt n) (sqrt f)))
  (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))
  (- (* (cbrt (+ n f)) (cbrt (+ n f))))
  (/ (cbrt (+ n f)) (- f n))
  (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (sqrt (+ n f)) (cbrt (- f n)))
  (/ (- (sqrt (+ n f))) (sqrt (- f n)))
  (/ (sqrt (+ n f)) (sqrt (- f n)))
  (- (sqrt (+ n f)))
  (/ (sqrt (+ n f)) (- f n))
  (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f)))
  (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n)))
  (- (sqrt (+ n f)))
  (/ (sqrt (+ n f)) (- f n))
  (/ (/ -1 (cbrt (- f n))) (cbrt (- f n)))
  (/ (+ n f) (cbrt (- f n)))
  (/ -1 (sqrt (- f n)))
  (/ (+ n f) (sqrt (- f n)))
  -1
  (/ (+ n f) (- f n))
  (/ -1 (+ (sqrt n) (sqrt f)))
  (/ (+ n f) (- (sqrt f) (sqrt n)))
  -1
  (/ (+ n f) (- f n))
  (/ (/ -1 (cbrt (- f n))) (cbrt (- f n)))
  (/ (+ n f) (cbrt (- f n)))
  (/ -1 (sqrt (- f n)))
  (/ (+ n f) (sqrt (- f n)))
  -1
  (/ (+ n f) (- f n))
  (/ -1 (+ (sqrt n) (sqrt f)))
  (/ (+ n f) (- (sqrt f) (sqrt n)))
  -1
  (/ (+ n f) (- f n))
  (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))
  (/ (- (cbrt (+ n f))) (cbrt (- f n)))
  (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f))))
  (/ (- (cbrt (+ n f))) (sqrt (- f n)))
  (* (cbrt (+ n f)) (cbrt (+ n f)))
  (- (/ (cbrt (+ n f)) (- f n)))
  (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f)))
  (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n)))
  (* (cbrt (+ n f)) (cbrt (+ n f)))
  (- (/ (cbrt (+ n f)) (- f n)))
  (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))))
  (- (/ (sqrt (+ n f)) (cbrt (- f n))))
  (/ (sqrt (+ n f)) (sqrt (- f n)))
  (/ (- (sqrt (+ n f))) (sqrt (- f n)))
  (sqrt (+ n f))
  (- (/ (sqrt (+ n f)) (- f n)))
  (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f)))
  (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n)))
  (sqrt (+ n f))
  (- (/ (sqrt (+ n f)) (- f n)))
  (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))
  (- (/ (+ n f) (cbrt (- f n))))
  (/ 1 (sqrt (- f n)))
  (/ (- (+ n f)) (sqrt (- f n)))
  1
  (/ (- (+ n f)) (- f n))
  (/ 1 (+ (sqrt n) (sqrt f)))
  (/ (- (+ n f)) (- (sqrt f) (sqrt n)))
  1
  (/ (- (+ n f)) (- f n))
  (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))
  (- (/ (+ n f) (cbrt (- f n))))
  (/ 1 (sqrt (- f n)))
  (/ (- (+ n f)) (sqrt (- f n)))
  1
  (/ (- (+ n f)) (- f n))
  (/ 1 (+ (sqrt n) (sqrt f)))
  (/ (- (+ n f)) (- (sqrt f) (sqrt n)))
  1
  (/ (- (+ n f)) (- f n))
  (/ 1 (- f n))
  (/ (- f n) (- (+ n f)))
  (/ (+ n f) (- f n))
  (/ (- (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (- (+ n f)) (sqrt (- f n)))
  (- (+ n f))
  (/ (- (+ n f)) (+ (sqrt n) (sqrt f)))
  (- (+ n f))
  (/ (- f n) (cbrt (- (+ n f))))
  (/ (- f n) (sqrt (- (+ n f))))
  (/ (- f n) (- (+ n f)))
  (/ (- f n) (+ n f))
  (/ (- f n) (cbrt (+ n f)))
  (/ (- f n) (sqrt (+ n f)))
  (/ (- f n) (+ n f))
  (/ (- f n) (+ n f))
  (/ (- f n) (- (cbrt (+ n f))))
  (/ (- f n) (- (sqrt (+ n f))))
  (/ (- f n) (- (+ n f)))
  (/ (- f n) (- (+ n f)))
  (- (/ (+ n f) (- (* (* f f) f) (* (* n n) n))))
  (- (/ (+ n f) (* (+ n f) (- f n))))
  (* (- f n) (fma n (- n f) (* f f)))
  (* (- f n) (- f n))
  (- (cbrt -1))
  (cbrt -1)
  -1
  1
  1
  1
  1
  -1
  -1
  1
  -1
  -1
5.643 * * * [progress]: adding candidates to table
7.585 * * [progress]: iteration 3 / 4
7.585 * * * [progress]: picking best candidate
7.589 * * * * [pick]: Picked  #<alt (λ (f n) (* (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))))>
7.589 * * * [progress]: localizing error
7.615 * * * [progress]: generating rewritten candidates
7.615 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
7.834 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
7.861 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
7.872 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
7.949 * * * [progress]: generating series expansions
7.949 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
7.949 * [backup-simplify]: Simplify (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) into (/ (pow (+ n f) 2) (pow (- f n) 2))
7.949 * [approximate]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in (f n) around 0
7.949 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n
7.949 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n
7.949 * [taylor]: Taking taylor expansion of (+ n f) in n
7.949 * [taylor]: Taking taylor expansion of n in n
7.949 * [backup-simplify]: Simplify 0 into 0
7.949 * [backup-simplify]: Simplify 1 into 1
7.949 * [taylor]: Taking taylor expansion of f in n
7.949 * [backup-simplify]: Simplify f into f
7.949 * [backup-simplify]: Simplify (+ 0 f) into f
7.949 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n
7.949 * [taylor]: Taking taylor expansion of (- f n) in n
7.949 * [taylor]: Taking taylor expansion of f in n
7.949 * [backup-simplify]: Simplify f into f
7.949 * [taylor]: Taking taylor expansion of n in n
7.949 * [backup-simplify]: Simplify 0 into 0
7.949 * [backup-simplify]: Simplify 1 into 1
7.950 * [backup-simplify]: Simplify (- 0) into 0
7.950 * [backup-simplify]: Simplify (+ f 0) into f
7.950 * [backup-simplify]: Simplify (* f f) into (pow f 2)
7.950 * [backup-simplify]: Simplify (* f f) into (pow f 2)
7.950 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1
7.950 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f
7.950 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f
7.950 * [taylor]: Taking taylor expansion of (+ n f) in f
7.950 * [taylor]: Taking taylor expansion of n in f
7.950 * [backup-simplify]: Simplify n into n
7.950 * [taylor]: Taking taylor expansion of f in f
7.950 * [backup-simplify]: Simplify 0 into 0
7.950 * [backup-simplify]: Simplify 1 into 1
7.950 * [backup-simplify]: Simplify (+ n 0) into n
7.950 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f
7.951 * [taylor]: Taking taylor expansion of (- f n) in f
7.951 * [taylor]: Taking taylor expansion of f in f
7.951 * [backup-simplify]: Simplify 0 into 0
7.951 * [backup-simplify]: Simplify 1 into 1
7.951 * [taylor]: Taking taylor expansion of n in f
7.951 * [backup-simplify]: Simplify n into n
7.951 * [backup-simplify]: Simplify (- n) into (- n)
7.951 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
7.951 * [backup-simplify]: Simplify (* n n) into (pow n 2)
7.951 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2)
7.951 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1
7.951 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f
7.951 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f
7.951 * [taylor]: Taking taylor expansion of (+ n f) in f
7.951 * [taylor]: Taking taylor expansion of n in f
7.951 * [backup-simplify]: Simplify n into n
7.951 * [taylor]: Taking taylor expansion of f in f
7.951 * [backup-simplify]: Simplify 0 into 0
7.951 * [backup-simplify]: Simplify 1 into 1
7.951 * [backup-simplify]: Simplify (+ n 0) into n
7.951 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f
7.951 * [taylor]: Taking taylor expansion of (- f n) in f
7.951 * [taylor]: Taking taylor expansion of f in f
7.951 * [backup-simplify]: Simplify 0 into 0
7.951 * [backup-simplify]: Simplify 1 into 1
7.951 * [taylor]: Taking taylor expansion of n in f
7.951 * [backup-simplify]: Simplify n into n
7.951 * [backup-simplify]: Simplify (- n) into (- n)
7.951 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
7.951 * [backup-simplify]: Simplify (* n n) into (pow n 2)
7.951 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2)
7.951 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1
7.951 * [taylor]: Taking taylor expansion of 1 in n
7.951 * [backup-simplify]: Simplify 1 into 1
7.951 * [backup-simplify]: Simplify 1 into 1
7.952 * [backup-simplify]: Simplify (+ 0 1) into 1
7.952 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n)
7.952 * [backup-simplify]: Simplify (- 0) into 0
7.952 * [backup-simplify]: Simplify (+ 1 0) into 1
7.952 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n))
7.953 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n))
7.953 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n
7.953 * [taylor]: Taking taylor expansion of 4 in n
7.953 * [backup-simplify]: Simplify 4 into 4
7.953 * [taylor]: Taking taylor expansion of (/ 1 n) in n
7.953 * [taylor]: Taking taylor expansion of n in n
7.953 * [backup-simplify]: Simplify 0 into 0
7.953 * [backup-simplify]: Simplify 1 into 1
7.953 * [backup-simplify]: Simplify (/ 1 1) into 1
7.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.954 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
7.954 * [backup-simplify]: Simplify 0 into 0
7.954 * [backup-simplify]: Simplify 0 into 0
7.954 * [backup-simplify]: Simplify (+ 0 0) into 0
7.954 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1
7.955 * [backup-simplify]: Simplify (- 0) into 0
7.955 * [backup-simplify]: Simplify (+ 0 0) into 0
7.955 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1
7.956 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2)))
7.956 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n
7.956 * [taylor]: Taking taylor expansion of 8 in n
7.956 * [backup-simplify]: Simplify 8 into 8
7.956 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
7.956 * [taylor]: Taking taylor expansion of (pow n 2) in n
7.956 * [taylor]: Taking taylor expansion of n in n
7.956 * [backup-simplify]: Simplify 0 into 0
7.956 * [backup-simplify]: Simplify 1 into 1
7.956 * [backup-simplify]: Simplify (* 1 1) into 1
7.956 * [backup-simplify]: Simplify (/ 1 1) into 1
7.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.959 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0
7.959 * [backup-simplify]: Simplify 0 into 0
7.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.960 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
7.960 * [backup-simplify]: Simplify 0 into 0
7.960 * [backup-simplify]: Simplify 0 into 0
7.960 * [backup-simplify]: Simplify (+ 0 0) into 0
7.961 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0
7.961 * [backup-simplify]: Simplify (- 0) into 0
7.961 * [backup-simplify]: Simplify (+ 0 0) into 0
7.968 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0
7.969 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3)))
7.969 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n
7.969 * [taylor]: Taking taylor expansion of 12 in n
7.969 * [backup-simplify]: Simplify 12 into 12
7.969 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
7.969 * [taylor]: Taking taylor expansion of (pow n 3) in n
7.969 * [taylor]: Taking taylor expansion of n in n
7.969 * [backup-simplify]: Simplify 0 into 0
7.969 * [backup-simplify]: Simplify 1 into 1
7.969 * [backup-simplify]: Simplify (* 1 1) into 1
7.969 * [backup-simplify]: Simplify (* 1 1) into 1
7.970 * [backup-simplify]: Simplify (/ 1 1) into 1
7.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.975 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.975 * [backup-simplify]: Simplify 0 into 0
7.975 * [backup-simplify]: Simplify 1 into 1
7.975 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))
7.975 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0
7.975 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n
7.975 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n
7.975 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
7.975 * [taylor]: Taking taylor expansion of (/ 1 f) in n
7.975 * [taylor]: Taking taylor expansion of f in n
7.975 * [backup-simplify]: Simplify f into f
7.975 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
7.975 * [taylor]: Taking taylor expansion of (/ 1 n) in n
7.975 * [taylor]: Taking taylor expansion of n in n
7.975 * [backup-simplify]: Simplify 0 into 0
7.975 * [backup-simplify]: Simplify 1 into 1
7.976 * [backup-simplify]: Simplify (/ 1 1) into 1
7.976 * [backup-simplify]: Simplify (+ 0 1) into 1
7.976 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n
7.976 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n
7.976 * [taylor]: Taking taylor expansion of (/ 1 f) in n
7.976 * [taylor]: Taking taylor expansion of f in n
7.976 * [backup-simplify]: Simplify f into f
7.976 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
7.976 * [taylor]: Taking taylor expansion of (/ 1 n) in n
7.976 * [taylor]: Taking taylor expansion of n in n
7.976 * [backup-simplify]: Simplify 0 into 0
7.976 * [backup-simplify]: Simplify 1 into 1
7.976 * [backup-simplify]: Simplify (/ 1 1) into 1
7.976 * [backup-simplify]: Simplify (- 1) into -1
7.977 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.977 * [backup-simplify]: Simplify (* 1 1) into 1
7.977 * [backup-simplify]: Simplify (* -1 -1) into 1
7.977 * [backup-simplify]: Simplify (/ 1 1) into 1
7.977 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f
7.977 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f
7.977 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
7.978 * [taylor]: Taking taylor expansion of (/ 1 f) in f
7.978 * [taylor]: Taking taylor expansion of f in f
7.978 * [backup-simplify]: Simplify 0 into 0
7.978 * [backup-simplify]: Simplify 1 into 1
7.978 * [backup-simplify]: Simplify (/ 1 1) into 1
7.978 * [taylor]: Taking taylor expansion of (/ 1 n) in f
7.978 * [taylor]: Taking taylor expansion of n in f
7.978 * [backup-simplify]: Simplify n into n
7.978 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
7.978 * [backup-simplify]: Simplify (+ 1 0) into 1
7.978 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f
7.978 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
7.978 * [taylor]: Taking taylor expansion of (/ 1 f) in f
7.978 * [taylor]: Taking taylor expansion of f in f
7.978 * [backup-simplify]: Simplify 0 into 0
7.978 * [backup-simplify]: Simplify 1 into 1
7.978 * [backup-simplify]: Simplify (/ 1 1) into 1
7.978 * [taylor]: Taking taylor expansion of (/ 1 n) in f
7.979 * [taylor]: Taking taylor expansion of n in f
7.979 * [backup-simplify]: Simplify n into n
7.979 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
7.979 * [backup-simplify]: Simplify (+ 1 0) into 1
7.979 * [backup-simplify]: Simplify (* 1 1) into 1
7.979 * [backup-simplify]: Simplify (* 1 1) into 1
7.980 * [backup-simplify]: Simplify (/ 1 1) into 1
7.980 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f
7.980 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f
7.980 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
7.980 * [taylor]: Taking taylor expansion of (/ 1 f) in f
7.980 * [taylor]: Taking taylor expansion of f in f
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify 1 into 1
7.980 * [backup-simplify]: Simplify (/ 1 1) into 1
7.980 * [taylor]: Taking taylor expansion of (/ 1 n) in f
7.980 * [taylor]: Taking taylor expansion of n in f
7.980 * [backup-simplify]: Simplify n into n
7.980 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
7.980 * [backup-simplify]: Simplify (+ 1 0) into 1
7.980 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f
7.980 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
7.980 * [taylor]: Taking taylor expansion of (/ 1 f) in f
7.980 * [taylor]: Taking taylor expansion of f in f
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify 1 into 1
7.981 * [backup-simplify]: Simplify (/ 1 1) into 1
7.981 * [taylor]: Taking taylor expansion of (/ 1 n) in f
7.981 * [taylor]: Taking taylor expansion of n in f
7.981 * [backup-simplify]: Simplify n into n
7.981 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
7.981 * [backup-simplify]: Simplify (+ 1 0) into 1
7.981 * [backup-simplify]: Simplify (* 1 1) into 1
7.981 * [backup-simplify]: Simplify (* 1 1) into 1
7.982 * [backup-simplify]: Simplify (/ 1 1) into 1
7.982 * [taylor]: Taking taylor expansion of 1 in n
7.982 * [backup-simplify]: Simplify 1 into 1
7.982 * [backup-simplify]: Simplify 1 into 1
7.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.982 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
7.983 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n))
7.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.983 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
7.983 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n))
7.983 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n)))
7.983 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n))
7.983 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n
7.983 * [taylor]: Taking taylor expansion of 4 in n
7.983 * [backup-simplify]: Simplify 4 into 4
7.983 * [taylor]: Taking taylor expansion of (/ 1 n) in n
7.983 * [taylor]: Taking taylor expansion of n in n
7.983 * [backup-simplify]: Simplify 0 into 0
7.984 * [backup-simplify]: Simplify 1 into 1
7.984 * [backup-simplify]: Simplify (/ 1 1) into 1
7.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.985 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
7.986 * [backup-simplify]: Simplify (+ 0 0) into 0
7.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2))
7.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
7.987 * [backup-simplify]: Simplify (- 0) into 0
7.987 * [backup-simplify]: Simplify (+ 0 0) into 0
7.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2))
7.988 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2)))
7.988 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n
7.988 * [taylor]: Taking taylor expansion of 8 in n
7.988 * [backup-simplify]: Simplify 8 into 8
7.988 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
7.988 * [taylor]: Taking taylor expansion of (pow n 2) in n
7.988 * [taylor]: Taking taylor expansion of n in n
7.988 * [backup-simplify]: Simplify 0 into 0
7.988 * [backup-simplify]: Simplify 1 into 1
7.988 * [backup-simplify]: Simplify (* 1 1) into 1
7.989 * [backup-simplify]: Simplify (/ 1 1) into 1
7.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.991 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0
7.991 * [backup-simplify]: Simplify 0 into 0
7.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.992 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
7.992 * [backup-simplify]: Simplify 0 into 0
7.992 * [backup-simplify]: Simplify 0 into 0
7.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
7.993 * [backup-simplify]: Simplify (+ 0 0) into 0
7.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0
7.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
7.995 * [backup-simplify]: Simplify (- 0) into 0
7.995 * [backup-simplify]: Simplify (+ 0 0) into 0
7.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0
7.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3)))
7.996 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n
7.996 * [taylor]: Taking taylor expansion of 12 in n
7.996 * [backup-simplify]: Simplify 12 into 12
7.996 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
7.996 * [taylor]: Taking taylor expansion of (pow n 3) in n
7.996 * [taylor]: Taking taylor expansion of n in n
7.996 * [backup-simplify]: Simplify 0 into 0
7.996 * [backup-simplify]: Simplify 1 into 1
7.997 * [backup-simplify]: Simplify (* 1 1) into 1
7.997 * [backup-simplify]: Simplify (* 1 1) into 1
7.997 * [backup-simplify]: Simplify (/ 1 1) into 1
7.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.003 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.003 * [backup-simplify]: Simplify 0 into 0
8.003 * [backup-simplify]: Simplify 1 into 1
8.003 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))
8.003 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0
8.003 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n
8.003 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n
8.003 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
8.003 * [taylor]: Taking taylor expansion of (/ 1 f) in n
8.003 * [taylor]: Taking taylor expansion of f in n
8.003 * [backup-simplify]: Simplify f into f
8.004 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
8.004 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.004 * [taylor]: Taking taylor expansion of n in n
8.004 * [backup-simplify]: Simplify 0 into 0
8.004 * [backup-simplify]: Simplify 1 into 1
8.004 * [backup-simplify]: Simplify (/ 1 1) into 1
8.004 * [backup-simplify]: Simplify (+ 0 1) into 1
8.004 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n
8.004 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n
8.004 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.004 * [taylor]: Taking taylor expansion of n in n
8.004 * [backup-simplify]: Simplify 0 into 0
8.004 * [backup-simplify]: Simplify 1 into 1
8.004 * [backup-simplify]: Simplify (/ 1 1) into 1
8.004 * [taylor]: Taking taylor expansion of (/ 1 f) in n
8.004 * [taylor]: Taking taylor expansion of f in n
8.004 * [backup-simplify]: Simplify f into f
8.004 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
8.005 * [backup-simplify]: Simplify (+ 1 0) into 1
8.005 * [backup-simplify]: Simplify (* 1 1) into 1
8.005 * [backup-simplify]: Simplify (* 1 1) into 1
8.005 * [backup-simplify]: Simplify (/ 1 1) into 1
8.005 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f
8.005 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f
8.005 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
8.006 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.006 * [taylor]: Taking taylor expansion of f in f
8.006 * [backup-simplify]: Simplify 0 into 0
8.006 * [backup-simplify]: Simplify 1 into 1
8.006 * [backup-simplify]: Simplify (/ 1 1) into 1
8.006 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.006 * [taylor]: Taking taylor expansion of n in f
8.006 * [backup-simplify]: Simplify n into n
8.006 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.006 * [backup-simplify]: Simplify (+ 1 0) into 1
8.006 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f
8.006 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
8.006 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.006 * [taylor]: Taking taylor expansion of n in f
8.006 * [backup-simplify]: Simplify n into n
8.006 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.006 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.006 * [taylor]: Taking taylor expansion of f in f
8.006 * [backup-simplify]: Simplify 0 into 0
8.006 * [backup-simplify]: Simplify 1 into 1
8.007 * [backup-simplify]: Simplify (/ 1 1) into 1
8.007 * [backup-simplify]: Simplify (- 1) into -1
8.007 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.007 * [backup-simplify]: Simplify (* 1 1) into 1
8.007 * [backup-simplify]: Simplify (* -1 -1) into 1
8.008 * [backup-simplify]: Simplify (/ 1 1) into 1
8.008 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f
8.008 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f
8.008 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
8.008 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.008 * [taylor]: Taking taylor expansion of f in f
8.008 * [backup-simplify]: Simplify 0 into 0
8.008 * [backup-simplify]: Simplify 1 into 1
8.008 * [backup-simplify]: Simplify (/ 1 1) into 1
8.008 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.008 * [taylor]: Taking taylor expansion of n in f
8.008 * [backup-simplify]: Simplify n into n
8.008 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.008 * [backup-simplify]: Simplify (+ 1 0) into 1
8.008 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f
8.008 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
8.008 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.008 * [taylor]: Taking taylor expansion of n in f
8.008 * [backup-simplify]: Simplify n into n
8.009 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.009 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.009 * [taylor]: Taking taylor expansion of f in f
8.009 * [backup-simplify]: Simplify 0 into 0
8.009 * [backup-simplify]: Simplify 1 into 1
8.009 * [backup-simplify]: Simplify (/ 1 1) into 1
8.009 * [backup-simplify]: Simplify (- 1) into -1
8.009 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.010 * [backup-simplify]: Simplify (* 1 1) into 1
8.010 * [backup-simplify]: Simplify (* -1 -1) into 1
8.010 * [backup-simplify]: Simplify (/ 1 1) into 1
8.010 * [taylor]: Taking taylor expansion of 1 in n
8.010 * [backup-simplify]: Simplify 1 into 1
8.010 * [backup-simplify]: Simplify 1 into 1
8.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.011 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
8.011 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n))
8.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.011 * [backup-simplify]: Simplify (- 0) into 0
8.011 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
8.012 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n)))
8.012 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n))
8.012 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n
8.012 * [taylor]: Taking taylor expansion of 4 in n
8.012 * [backup-simplify]: Simplify 4 into 4
8.012 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.012 * [taylor]: Taking taylor expansion of n in n
8.012 * [backup-simplify]: Simplify 0 into 0
8.012 * [backup-simplify]: Simplify 1 into 1
8.012 * [backup-simplify]: Simplify (/ 1 1) into 1
8.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.013 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.013 * [backup-simplify]: Simplify 0 into 0
8.013 * [backup-simplify]: Simplify 0 into 0
8.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
8.014 * [backup-simplify]: Simplify (+ 0 0) into 0
8.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2))
8.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
8.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.015 * [backup-simplify]: Simplify (- 0) into 0
8.015 * [backup-simplify]: Simplify (+ 0 0) into 0
8.016 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2))
8.016 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2)))
8.016 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n
8.016 * [taylor]: Taking taylor expansion of 8 in n
8.016 * [backup-simplify]: Simplify 8 into 8
8.016 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
8.016 * [taylor]: Taking taylor expansion of (pow n 2) in n
8.016 * [taylor]: Taking taylor expansion of n in n
8.016 * [backup-simplify]: Simplify 0 into 0
8.016 * [backup-simplify]: Simplify 1 into 1
8.017 * [backup-simplify]: Simplify (* 1 1) into 1
8.017 * [backup-simplify]: Simplify (/ 1 1) into 1
8.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.019 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0
8.019 * [backup-simplify]: Simplify 0 into 0
8.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.020 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
8.020 * [backup-simplify]: Simplify 0 into 0
8.020 * [backup-simplify]: Simplify 0 into 0
8.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
8.021 * [backup-simplify]: Simplify (+ 0 0) into 0
8.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0
8.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
8.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.023 * [backup-simplify]: Simplify (- 0) into 0
8.023 * [backup-simplify]: Simplify (+ 0 0) into 0
8.024 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0
8.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3)))
8.024 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n
8.025 * [taylor]: Taking taylor expansion of 12 in n
8.025 * [backup-simplify]: Simplify 12 into 12
8.025 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
8.025 * [taylor]: Taking taylor expansion of (pow n 3) in n
8.025 * [taylor]: Taking taylor expansion of n in n
8.025 * [backup-simplify]: Simplify 0 into 0
8.025 * [backup-simplify]: Simplify 1 into 1
8.025 * [backup-simplify]: Simplify (* 1 1) into 1
8.025 * [backup-simplify]: Simplify (* 1 1) into 1
8.025 * [backup-simplify]: Simplify (/ 1 1) into 1
8.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.030 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.030 * [backup-simplify]: Simplify 0 into 0
8.030 * [backup-simplify]: Simplify 1 into 1
8.030 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
8.031 * [backup-simplify]: Simplify (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) into (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)
8.031 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in (f n) around 0
8.031 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in n
8.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in n
8.031 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in n
8.031 * [taylor]: Taking taylor expansion of 1/3 in n
8.031 * [backup-simplify]: Simplify 1/3 into 1/3
8.031 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in n
8.031 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n
8.031 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n
8.031 * [taylor]: Taking taylor expansion of (+ n f) in n
8.031 * [taylor]: Taking taylor expansion of n in n
8.031 * [backup-simplify]: Simplify 0 into 0
8.031 * [backup-simplify]: Simplify 1 into 1
8.031 * [taylor]: Taking taylor expansion of f in n
8.031 * [backup-simplify]: Simplify f into f
8.031 * [backup-simplify]: Simplify (+ 0 f) into f
8.031 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n
8.031 * [taylor]: Taking taylor expansion of (- f n) in n
8.031 * [taylor]: Taking taylor expansion of f in n
8.031 * [backup-simplify]: Simplify f into f
8.031 * [taylor]: Taking taylor expansion of n in n
8.031 * [backup-simplify]: Simplify 0 into 0
8.031 * [backup-simplify]: Simplify 1 into 1
8.031 * [backup-simplify]: Simplify (- 0) into 0
8.031 * [backup-simplify]: Simplify (+ f 0) into f
8.031 * [backup-simplify]: Simplify (* f f) into (pow f 2)
8.031 * [backup-simplify]: Simplify (* f f) into (pow f 2)
8.032 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1
8.032 * [backup-simplify]: Simplify (log 1) into 0
8.032 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.033 * [backup-simplify]: Simplify (+ 1 0) into 1
8.033 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f)
8.033 * [backup-simplify]: Simplify (- 1) into -1
8.033 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.033 * [backup-simplify]: Simplify (+ (* f -1) (* -1 f)) into (- (* 2 f))
8.034 * [backup-simplify]: Simplify (- (/ (* 2 f) (pow f 2)) (+ (* 1 (/ (- (* 2 f)) (pow f 2))))) into (* 4 (/ 1 f))
8.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f)
8.034 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f))
8.034 * [backup-simplify]: Simplify (exp 0) into 1
8.034 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f
8.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f
8.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f
8.034 * [taylor]: Taking taylor expansion of 1/3 in f
8.034 * [backup-simplify]: Simplify 1/3 into 1/3
8.034 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f
8.034 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f
8.035 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f
8.035 * [taylor]: Taking taylor expansion of (+ n f) in f
8.035 * [taylor]: Taking taylor expansion of n in f
8.035 * [backup-simplify]: Simplify n into n
8.035 * [taylor]: Taking taylor expansion of f in f
8.035 * [backup-simplify]: Simplify 0 into 0
8.035 * [backup-simplify]: Simplify 1 into 1
8.035 * [backup-simplify]: Simplify (+ n 0) into n
8.035 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f
8.035 * [taylor]: Taking taylor expansion of (- f n) in f
8.035 * [taylor]: Taking taylor expansion of f in f
8.035 * [backup-simplify]: Simplify 0 into 0
8.035 * [backup-simplify]: Simplify 1 into 1
8.035 * [taylor]: Taking taylor expansion of n in f
8.035 * [backup-simplify]: Simplify n into n
8.035 * [backup-simplify]: Simplify (- n) into (- n)
8.035 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
8.035 * [backup-simplify]: Simplify (* n n) into (pow n 2)
8.035 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2)
8.035 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1
8.035 * [backup-simplify]: Simplify (log 1) into 0
8.036 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.036 * [backup-simplify]: Simplify (+ 0 1) into 1
8.036 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n)
8.036 * [backup-simplify]: Simplify (- 0) into 0
8.036 * [backup-simplify]: Simplify (+ 1 0) into 1
8.036 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n))
8.037 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n))
8.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n)
8.037 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n))
8.037 * [backup-simplify]: Simplify (exp 0) into 1
8.037 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f
8.037 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f
8.037 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f
8.037 * [taylor]: Taking taylor expansion of 1/3 in f
8.037 * [backup-simplify]: Simplify 1/3 into 1/3
8.037 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f
8.038 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f
8.038 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f
8.038 * [taylor]: Taking taylor expansion of (+ n f) in f
8.038 * [taylor]: Taking taylor expansion of n in f
8.038 * [backup-simplify]: Simplify n into n
8.038 * [taylor]: Taking taylor expansion of f in f
8.038 * [backup-simplify]: Simplify 0 into 0
8.038 * [backup-simplify]: Simplify 1 into 1
8.038 * [backup-simplify]: Simplify (+ n 0) into n
8.038 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f
8.038 * [taylor]: Taking taylor expansion of (- f n) in f
8.038 * [taylor]: Taking taylor expansion of f in f
8.038 * [backup-simplify]: Simplify 0 into 0
8.038 * [backup-simplify]: Simplify 1 into 1
8.038 * [taylor]: Taking taylor expansion of n in f
8.038 * [backup-simplify]: Simplify n into n
8.038 * [backup-simplify]: Simplify (- n) into (- n)
8.038 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
8.038 * [backup-simplify]: Simplify (* n n) into (pow n 2)
8.038 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2)
8.038 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1
8.038 * [backup-simplify]: Simplify (log 1) into 0
8.039 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.039 * [backup-simplify]: Simplify (+ 0 1) into 1
8.039 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n)
8.039 * [backup-simplify]: Simplify (- 0) into 0
8.039 * [backup-simplify]: Simplify (+ 1 0) into 1
8.039 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n))
8.040 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n))
8.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n)
8.040 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n))
8.040 * [backup-simplify]: Simplify (exp 0) into 1
8.040 * [taylor]: Taking taylor expansion of 1 in n
8.040 * [backup-simplify]: Simplify 1 into 1
8.040 * [backup-simplify]: Simplify 1 into 1
8.041 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n)
8.041 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n
8.041 * [taylor]: Taking taylor expansion of 4/3 in n
8.041 * [backup-simplify]: Simplify 4/3 into 4/3
8.041 * [taylor]: Taking taylor expansion of n in n
8.041 * [backup-simplify]: Simplify 0 into 0
8.041 * [backup-simplify]: Simplify 1 into 1
8.041 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3
8.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0
8.042 * [backup-simplify]: Simplify 0 into 0
8.042 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify (+ 0 0) into 0
8.043 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1
8.043 * [backup-simplify]: Simplify (- 0) into 0
8.044 * [backup-simplify]: Simplify (+ 0 0) into 0
8.044 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1
8.044 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2)))
8.045 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0
8.046 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0
8.046 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2))
8.046 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n
8.046 * [taylor]: Taking taylor expansion of 8/9 in n
8.046 * [backup-simplify]: Simplify 8/9 into 8/9
8.046 * [taylor]: Taking taylor expansion of (pow n 2) in n
8.046 * [taylor]: Taking taylor expansion of n in n
8.047 * [backup-simplify]: Simplify 0 into 0
8.047 * [backup-simplify]: Simplify 1 into 1
8.047 * [backup-simplify]: Simplify (* 1 1) into 1
8.047 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9
8.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0
8.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.051 * [backup-simplify]: Simplify 0 into 0
8.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.052 * [backup-simplify]: Simplify 0 into 0
8.052 * [backup-simplify]: Simplify 0 into 0
8.053 * [backup-simplify]: Simplify (+ 0 0) into 0
8.053 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0
8.054 * [backup-simplify]: Simplify (- 0) into 0
8.054 * [backup-simplify]: Simplify (+ 0 0) into 0
8.055 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0
8.056 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3)))
8.059 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3))
8.060 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3)))
8.061 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3))
8.061 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n
8.061 * [taylor]: Taking taylor expansion of 68/81 in n
8.061 * [backup-simplify]: Simplify 68/81 into 68/81
8.061 * [taylor]: Taking taylor expansion of (pow n 3) in n
8.061 * [taylor]: Taking taylor expansion of n in n
8.061 * [backup-simplify]: Simplify 0 into 0
8.061 * [backup-simplify]: Simplify 1 into 1
8.062 * [backup-simplify]: Simplify (* 1 1) into 1
8.066 * [backup-simplify]: Simplify (* 1 1) into 1
8.067 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81
8.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0
8.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.072 * [backup-simplify]: Simplify 0 into 0
8.072 * [backup-simplify]: Simplify 1 into 1
8.072 * [backup-simplify]: Simplify (cbrt (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3)
8.072 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in (f n) around 0
8.072 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in n
8.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in n
8.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in n
8.073 * [taylor]: Taking taylor expansion of 1/3 in n
8.073 * [backup-simplify]: Simplify 1/3 into 1/3
8.073 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in n
8.073 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n
8.073 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n
8.073 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
8.073 * [taylor]: Taking taylor expansion of (/ 1 f) in n
8.073 * [taylor]: Taking taylor expansion of f in n
8.073 * [backup-simplify]: Simplify f into f
8.073 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
8.073 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.073 * [taylor]: Taking taylor expansion of n in n
8.073 * [backup-simplify]: Simplify 0 into 0
8.073 * [backup-simplify]: Simplify 1 into 1
8.073 * [backup-simplify]: Simplify (/ 1 1) into 1
8.073 * [backup-simplify]: Simplify (+ 0 1) into 1
8.073 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n
8.073 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n
8.073 * [taylor]: Taking taylor expansion of (/ 1 f) in n
8.073 * [taylor]: Taking taylor expansion of f in n
8.073 * [backup-simplify]: Simplify f into f
8.073 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
8.073 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.073 * [taylor]: Taking taylor expansion of n in n
8.073 * [backup-simplify]: Simplify 0 into 0
8.073 * [backup-simplify]: Simplify 1 into 1
8.074 * [backup-simplify]: Simplify (/ 1 1) into 1
8.074 * [backup-simplify]: Simplify (- 1) into -1
8.074 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.074 * [backup-simplify]: Simplify (* 1 1) into 1
8.075 * [backup-simplify]: Simplify (* -1 -1) into 1
8.075 * [backup-simplify]: Simplify (/ 1 1) into 1
8.075 * [backup-simplify]: Simplify (log 1) into 0
8.075 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.076 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f)
8.076 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f))
8.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.077 * [backup-simplify]: Simplify (- 0) into 0
8.077 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f)
8.077 * [backup-simplify]: Simplify (+ (* -1 (/ 1 f)) (* (/ 1 f) -1)) into (- (* 2 (/ 1 f)))
8.077 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f))
8.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f)
8.078 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f))
8.078 * [backup-simplify]: Simplify (exp 0) into 1
8.078 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f
8.078 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f
8.078 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f
8.078 * [taylor]: Taking taylor expansion of 1/3 in f
8.078 * [backup-simplify]: Simplify 1/3 into 1/3
8.078 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f
8.078 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f
8.078 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f
8.078 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
8.078 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.078 * [taylor]: Taking taylor expansion of f in f
8.078 * [backup-simplify]: Simplify 0 into 0
8.078 * [backup-simplify]: Simplify 1 into 1
8.078 * [backup-simplify]: Simplify (/ 1 1) into 1
8.078 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.078 * [taylor]: Taking taylor expansion of n in f
8.078 * [backup-simplify]: Simplify n into n
8.078 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.078 * [backup-simplify]: Simplify (+ 1 0) into 1
8.079 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f
8.079 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
8.079 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.079 * [taylor]: Taking taylor expansion of f in f
8.079 * [backup-simplify]: Simplify 0 into 0
8.079 * [backup-simplify]: Simplify 1 into 1
8.079 * [backup-simplify]: Simplify (/ 1 1) into 1
8.079 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.079 * [taylor]: Taking taylor expansion of n in f
8.079 * [backup-simplify]: Simplify n into n
8.079 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.079 * [backup-simplify]: Simplify (+ 1 0) into 1
8.079 * [backup-simplify]: Simplify (* 1 1) into 1
8.080 * [backup-simplify]: Simplify (* 1 1) into 1
8.080 * [backup-simplify]: Simplify (/ 1 1) into 1
8.080 * [backup-simplify]: Simplify (log 1) into 0
8.080 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.081 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
8.081 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n))
8.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.081 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
8.082 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n))
8.082 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n)))
8.082 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n))
8.082 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n)
8.082 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n))
8.083 * [backup-simplify]: Simplify (exp 0) into 1
8.083 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f
8.083 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f
8.083 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f
8.083 * [taylor]: Taking taylor expansion of 1/3 in f
8.083 * [backup-simplify]: Simplify 1/3 into 1/3
8.083 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f
8.083 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f
8.083 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f
8.083 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
8.083 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.083 * [taylor]: Taking taylor expansion of f in f
8.083 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify 1 into 1
8.083 * [backup-simplify]: Simplify (/ 1 1) into 1
8.083 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.083 * [taylor]: Taking taylor expansion of n in f
8.083 * [backup-simplify]: Simplify n into n
8.083 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.083 * [backup-simplify]: Simplify (+ 1 0) into 1
8.083 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f
8.083 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
8.083 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.083 * [taylor]: Taking taylor expansion of f in f
8.083 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify 1 into 1
8.084 * [backup-simplify]: Simplify (/ 1 1) into 1
8.084 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.084 * [taylor]: Taking taylor expansion of n in f
8.084 * [backup-simplify]: Simplify n into n
8.084 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.084 * [backup-simplify]: Simplify (+ 1 0) into 1
8.084 * [backup-simplify]: Simplify (* 1 1) into 1
8.084 * [backup-simplify]: Simplify (* 1 1) into 1
8.085 * [backup-simplify]: Simplify (/ 1 1) into 1
8.085 * [backup-simplify]: Simplify (log 1) into 0
8.085 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.086 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
8.086 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n))
8.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.086 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
8.086 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n))
8.086 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n)))
8.087 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n))
8.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n)
8.087 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n))
8.087 * [backup-simplify]: Simplify (exp 0) into 1
8.087 * [taylor]: Taking taylor expansion of 1 in n
8.087 * [backup-simplify]: Simplify 1 into 1
8.087 * [backup-simplify]: Simplify 1 into 1
8.088 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n)
8.088 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n
8.088 * [taylor]: Taking taylor expansion of 4/3 in n
8.088 * [backup-simplify]: Simplify 4/3 into 4/3
8.088 * [taylor]: Taking taylor expansion of n in n
8.088 * [backup-simplify]: Simplify 0 into 0
8.088 * [backup-simplify]: Simplify 1 into 1
8.088 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3
8.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0
8.088 * [backup-simplify]: Simplify 0 into 0
8.088 * [backup-simplify]: Simplify 0 into 0
8.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
8.089 * [backup-simplify]: Simplify (+ 0 0) into 0
8.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2))
8.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
8.091 * [backup-simplify]: Simplify (- 0) into 0
8.091 * [backup-simplify]: Simplify (+ 0 0) into 0
8.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2))
8.092 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2)))
8.093 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0
8.094 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0
8.094 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2))
8.094 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n
8.094 * [taylor]: Taking taylor expansion of 8/9 in n
8.094 * [backup-simplify]: Simplify 8/9 into 8/9
8.094 * [taylor]: Taking taylor expansion of (pow n 2) in n
8.094 * [taylor]: Taking taylor expansion of n in n
8.094 * [backup-simplify]: Simplify 0 into 0
8.094 * [backup-simplify]: Simplify 1 into 1
8.094 * [backup-simplify]: Simplify (* 1 1) into 1
8.095 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9
8.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0
8.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify 0 into 0
8.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
8.098 * [backup-simplify]: Simplify (+ 0 0) into 0
8.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0
8.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
8.100 * [backup-simplify]: Simplify (- 0) into 0
8.100 * [backup-simplify]: Simplify (+ 0 0) into 0
8.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0
8.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3)))
8.103 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3))
8.103 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3)))
8.104 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3))
8.104 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n
8.104 * [taylor]: Taking taylor expansion of 68/81 in n
8.104 * [backup-simplify]: Simplify 68/81 into 68/81
8.104 * [taylor]: Taking taylor expansion of (pow n 3) in n
8.104 * [taylor]: Taking taylor expansion of n in n
8.104 * [backup-simplify]: Simplify 0 into 0
8.104 * [backup-simplify]: Simplify 1 into 1
8.105 * [backup-simplify]: Simplify (* 1 1) into 1
8.105 * [backup-simplify]: Simplify (* 1 1) into 1
8.105 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81
8.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0
8.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.110 * [backup-simplify]: Simplify 0 into 0
8.110 * [backup-simplify]: Simplify 1 into 1
8.110 * [backup-simplify]: Simplify (cbrt (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3)
8.110 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in (f n) around 0
8.110 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in n
8.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in n
8.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in n
8.110 * [taylor]: Taking taylor expansion of 1/3 in n
8.110 * [backup-simplify]: Simplify 1/3 into 1/3
8.110 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in n
8.110 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n
8.110 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n
8.110 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
8.110 * [taylor]: Taking taylor expansion of (/ 1 f) in n
8.110 * [taylor]: Taking taylor expansion of f in n
8.110 * [backup-simplify]: Simplify f into f
8.110 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
8.110 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.110 * [taylor]: Taking taylor expansion of n in n
8.111 * [backup-simplify]: Simplify 0 into 0
8.111 * [backup-simplify]: Simplify 1 into 1
8.111 * [backup-simplify]: Simplify (/ 1 1) into 1
8.111 * [backup-simplify]: Simplify (+ 0 1) into 1
8.111 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n
8.111 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n
8.111 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.111 * [taylor]: Taking taylor expansion of n in n
8.111 * [backup-simplify]: Simplify 0 into 0
8.111 * [backup-simplify]: Simplify 1 into 1
8.111 * [backup-simplify]: Simplify (/ 1 1) into 1
8.111 * [taylor]: Taking taylor expansion of (/ 1 f) in n
8.111 * [taylor]: Taking taylor expansion of f in n
8.111 * [backup-simplify]: Simplify f into f
8.111 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
8.112 * [backup-simplify]: Simplify (+ 1 0) into 1
8.112 * [backup-simplify]: Simplify (* 1 1) into 1
8.112 * [backup-simplify]: Simplify (* 1 1) into 1
8.112 * [backup-simplify]: Simplify (/ 1 1) into 1
8.113 * [backup-simplify]: Simplify (log 1) into 0
8.113 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.113 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f)
8.114 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f))
8.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.114 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f))
8.114 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f))
8.114 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 f))) (* (- (/ 1 f)) 1)) into (- (* 2 (/ 1 f)))
8.114 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f))
8.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f)
8.115 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f))
8.115 * [backup-simplify]: Simplify (exp 0) into 1
8.115 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f
8.115 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f
8.115 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f
8.115 * [taylor]: Taking taylor expansion of 1/3 in f
8.115 * [backup-simplify]: Simplify 1/3 into 1/3
8.115 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f
8.115 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f
8.115 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f
8.115 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
8.115 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.115 * [taylor]: Taking taylor expansion of f in f
8.115 * [backup-simplify]: Simplify 0 into 0
8.115 * [backup-simplify]: Simplify 1 into 1
8.116 * [backup-simplify]: Simplify (/ 1 1) into 1
8.116 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.116 * [taylor]: Taking taylor expansion of n in f
8.116 * [backup-simplify]: Simplify n into n
8.116 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.116 * [backup-simplify]: Simplify (+ 1 0) into 1
8.116 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f
8.116 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
8.116 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.116 * [taylor]: Taking taylor expansion of n in f
8.116 * [backup-simplify]: Simplify n into n
8.116 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.116 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.116 * [taylor]: Taking taylor expansion of f in f
8.116 * [backup-simplify]: Simplify 0 into 0
8.116 * [backup-simplify]: Simplify 1 into 1
8.116 * [backup-simplify]: Simplify (/ 1 1) into 1
8.117 * [backup-simplify]: Simplify (- 1) into -1
8.117 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.117 * [backup-simplify]: Simplify (* 1 1) into 1
8.117 * [backup-simplify]: Simplify (* -1 -1) into 1
8.118 * [backup-simplify]: Simplify (/ 1 1) into 1
8.118 * [backup-simplify]: Simplify (log 1) into 0
8.118 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.119 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
8.119 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n))
8.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.119 * [backup-simplify]: Simplify (- 0) into 0
8.119 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
8.119 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n)))
8.120 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n))
8.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n)
8.120 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n))
8.120 * [backup-simplify]: Simplify (exp 0) into 1
8.120 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f
8.120 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f
8.120 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f
8.120 * [taylor]: Taking taylor expansion of 1/3 in f
8.120 * [backup-simplify]: Simplify 1/3 into 1/3
8.120 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f
8.121 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f
8.121 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f
8.121 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
8.121 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.121 * [taylor]: Taking taylor expansion of f in f
8.121 * [backup-simplify]: Simplify 0 into 0
8.121 * [backup-simplify]: Simplify 1 into 1
8.121 * [backup-simplify]: Simplify (/ 1 1) into 1
8.121 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.121 * [taylor]: Taking taylor expansion of n in f
8.121 * [backup-simplify]: Simplify n into n
8.121 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.121 * [backup-simplify]: Simplify (+ 1 0) into 1
8.121 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f
8.121 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
8.121 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.121 * [taylor]: Taking taylor expansion of n in f
8.121 * [backup-simplify]: Simplify n into n
8.121 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.121 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.121 * [taylor]: Taking taylor expansion of f in f
8.121 * [backup-simplify]: Simplify 0 into 0
8.121 * [backup-simplify]: Simplify 1 into 1
8.122 * [backup-simplify]: Simplify (/ 1 1) into 1
8.122 * [backup-simplify]: Simplify (- 1) into -1
8.122 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.122 * [backup-simplify]: Simplify (* 1 1) into 1
8.123 * [backup-simplify]: Simplify (* -1 -1) into 1
8.123 * [backup-simplify]: Simplify (/ 1 1) into 1
8.123 * [backup-simplify]: Simplify (log 1) into 0
8.123 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.124 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
8.124 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n))
8.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.125 * [backup-simplify]: Simplify (- 0) into 0
8.125 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
8.125 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n)))
8.125 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n))
8.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n)
8.126 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n))
8.126 * [backup-simplify]: Simplify (exp 0) into 1
8.126 * [taylor]: Taking taylor expansion of 1 in n
8.126 * [backup-simplify]: Simplify 1 into 1
8.126 * [backup-simplify]: Simplify 1 into 1
8.126 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n)
8.126 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n
8.126 * [taylor]: Taking taylor expansion of 4/3 in n
8.126 * [backup-simplify]: Simplify 4/3 into 4/3
8.126 * [taylor]: Taking taylor expansion of n in n
8.126 * [backup-simplify]: Simplify 0 into 0
8.126 * [backup-simplify]: Simplify 1 into 1
8.126 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3
8.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0
8.127 * [backup-simplify]: Simplify 0 into 0
8.127 * [backup-simplify]: Simplify 0 into 0
8.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
8.128 * [backup-simplify]: Simplify (+ 0 0) into 0
8.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2))
8.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
8.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.129 * [backup-simplify]: Simplify (- 0) into 0
8.129 * [backup-simplify]: Simplify (+ 0 0) into 0
8.130 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2))
8.130 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2)))
8.131 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0
8.132 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0
8.132 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2))
8.132 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n
8.132 * [taylor]: Taking taylor expansion of 8/9 in n
8.132 * [backup-simplify]: Simplify 8/9 into 8/9
8.132 * [taylor]: Taking taylor expansion of (pow n 2) in n
8.132 * [taylor]: Taking taylor expansion of n in n
8.132 * [backup-simplify]: Simplify 0 into 0
8.132 * [backup-simplify]: Simplify 1 into 1
8.132 * [backup-simplify]: Simplify (* 1 1) into 1
8.133 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9
8.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0
8.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.135 * [backup-simplify]: Simplify 0 into 0
8.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.135 * [backup-simplify]: Simplify 0 into 0
8.136 * [backup-simplify]: Simplify 0 into 0
8.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
8.137 * [backup-simplify]: Simplify (+ 0 0) into 0
8.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0
8.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
8.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.140 * [backup-simplify]: Simplify (- 0) into 0
8.141 * [backup-simplify]: Simplify (+ 0 0) into 0
8.142 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0
8.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3)))
8.146 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3))
8.147 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3)))
8.148 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3))
8.148 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n
8.148 * [taylor]: Taking taylor expansion of 68/81 in n
8.148 * [backup-simplify]: Simplify 68/81 into 68/81
8.148 * [taylor]: Taking taylor expansion of (pow n 3) in n
8.148 * [taylor]: Taking taylor expansion of n in n
8.148 * [backup-simplify]: Simplify 0 into 0
8.148 * [backup-simplify]: Simplify 1 into 1
8.149 * [backup-simplify]: Simplify (* 1 1) into 1
8.149 * [backup-simplify]: Simplify (* 1 1) into 1
8.149 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81
8.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0
8.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.158 * [backup-simplify]: Simplify 0 into 0
8.158 * [backup-simplify]: Simplify 1 into 1
8.159 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
8.159 * [backup-simplify]: Simplify (cbrt (/ (- (+ f n)) (- f n))) into (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1))
8.159 * [approximate]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in (f n) around 0
8.159 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in n
8.159 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in n
8.159 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in n
8.159 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in n
8.159 * [taylor]: Taking taylor expansion of 1/3 in n
8.159 * [backup-simplify]: Simplify 1/3 into 1/3
8.159 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in n
8.160 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n
8.160 * [taylor]: Taking taylor expansion of (+ n f) in n
8.160 * [taylor]: Taking taylor expansion of n in n
8.160 * [backup-simplify]: Simplify 0 into 0
8.160 * [backup-simplify]: Simplify 1 into 1
8.160 * [taylor]: Taking taylor expansion of f in n
8.160 * [backup-simplify]: Simplify f into f
8.160 * [taylor]: Taking taylor expansion of (- f n) in n
8.160 * [taylor]: Taking taylor expansion of f in n
8.160 * [backup-simplify]: Simplify f into f
8.160 * [taylor]: Taking taylor expansion of n in n
8.160 * [backup-simplify]: Simplify 0 into 0
8.160 * [backup-simplify]: Simplify 1 into 1
8.160 * [backup-simplify]: Simplify (+ 0 f) into f
8.160 * [backup-simplify]: Simplify (- 0) into 0
8.160 * [backup-simplify]: Simplify (+ f 0) into f
8.161 * [backup-simplify]: Simplify (/ f f) into 1
8.161 * [backup-simplify]: Simplify (log 1) into 0
8.161 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.162 * [backup-simplify]: Simplify (+ 1 0) into 1
8.162 * [backup-simplify]: Simplify (- 1) into -1
8.163 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.163 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f))
8.164 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f)
8.164 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f))
8.164 * [backup-simplify]: Simplify (exp 0) into 1
8.164 * [taylor]: Taking taylor expansion of (cbrt -1) in n
8.164 * [taylor]: Taking taylor expansion of -1 in n
8.164 * [backup-simplify]: Simplify -1 into -1
8.165 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.165 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.165 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in f
8.165 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f
8.165 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f
8.165 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f
8.166 * [taylor]: Taking taylor expansion of 1/3 in f
8.166 * [backup-simplify]: Simplify 1/3 into 1/3
8.166 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f
8.166 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f
8.166 * [taylor]: Taking taylor expansion of (+ n f) in f
8.166 * [taylor]: Taking taylor expansion of n in f
8.166 * [backup-simplify]: Simplify n into n
8.166 * [taylor]: Taking taylor expansion of f in f
8.166 * [backup-simplify]: Simplify 0 into 0
8.166 * [backup-simplify]: Simplify 1 into 1
8.166 * [taylor]: Taking taylor expansion of (- f n) in f
8.166 * [taylor]: Taking taylor expansion of f in f
8.166 * [backup-simplify]: Simplify 0 into 0
8.166 * [backup-simplify]: Simplify 1 into 1
8.166 * [taylor]: Taking taylor expansion of n in f
8.166 * [backup-simplify]: Simplify n into n
8.166 * [backup-simplify]: Simplify (+ n 0) into n
8.166 * [backup-simplify]: Simplify (- n) into (- n)
8.166 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
8.166 * [backup-simplify]: Simplify (/ n (- n)) into -1
8.171 * [backup-simplify]: Simplify (log -1) into (log -1)
8.172 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
8.174 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
8.174 * [taylor]: Taking taylor expansion of (cbrt -1) in f
8.174 * [taylor]: Taking taylor expansion of -1 in f
8.174 * [backup-simplify]: Simplify -1 into -1
8.174 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.175 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.175 * [taylor]: Taking taylor expansion of (* (pow (/ (+ n f) (- f n)) 1/3) (cbrt -1)) in f
8.175 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f
8.175 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f
8.175 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f
8.175 * [taylor]: Taking taylor expansion of 1/3 in f
8.175 * [backup-simplify]: Simplify 1/3 into 1/3
8.175 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f
8.175 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f
8.175 * [taylor]: Taking taylor expansion of (+ n f) in f
8.176 * [taylor]: Taking taylor expansion of n in f
8.176 * [backup-simplify]: Simplify n into n
8.176 * [taylor]: Taking taylor expansion of f in f
8.176 * [backup-simplify]: Simplify 0 into 0
8.176 * [backup-simplify]: Simplify 1 into 1
8.176 * [taylor]: Taking taylor expansion of (- f n) in f
8.176 * [taylor]: Taking taylor expansion of f in f
8.176 * [backup-simplify]: Simplify 0 into 0
8.176 * [backup-simplify]: Simplify 1 into 1
8.176 * [taylor]: Taking taylor expansion of n in f
8.176 * [backup-simplify]: Simplify n into n
8.176 * [backup-simplify]: Simplify (+ n 0) into n
8.176 * [backup-simplify]: Simplify (- n) into (- n)
8.176 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
8.176 * [backup-simplify]: Simplify (/ n (- n)) into -1
8.176 * [backup-simplify]: Simplify (log -1) into (log -1)
8.177 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
8.179 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
8.179 * [taylor]: Taking taylor expansion of (cbrt -1) in f
8.179 * [taylor]: Taking taylor expansion of -1 in f
8.179 * [backup-simplify]: Simplify -1 into -1
8.180 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.180 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.182 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3))
8.182 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow -1 1/3)) in n
8.182 * [taylor]: Taking taylor expansion of (cbrt -1) in n
8.182 * [taylor]: Taking taylor expansion of -1 in n
8.182 * [backup-simplify]: Simplify -1 into -1
8.182 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.183 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.183 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n
8.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n
8.183 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n
8.183 * [taylor]: Taking taylor expansion of 1/3 in n
8.183 * [backup-simplify]: Simplify 1/3 into 1/3
8.183 * [taylor]: Taking taylor expansion of (log -1) in n
8.183 * [taylor]: Taking taylor expansion of -1 in n
8.183 * [backup-simplify]: Simplify -1 into -1
8.184 * [backup-simplify]: Simplify (log -1) into (log -1)
8.185 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
8.186 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
8.188 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3))
8.189 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3))
8.190 * [backup-simplify]: Simplify (+ 0 1) into 1
8.190 * [backup-simplify]: Simplify (- 0) into 0
8.190 * [backup-simplify]: Simplify (+ 1 0) into 1
8.191 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n)))
8.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n)
8.192 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n))
8.194 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (/ 1 n) (pow -1 1/3)))
8.196 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) (cbrt -1))) into (* 2/3 (* (/ (cbrt -1) n) (pow -1 1/3)))
8.196 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ (cbrt -1) n) (pow -1 1/3))) in n
8.196 * [taylor]: Taking taylor expansion of 2/3 in n
8.196 * [backup-simplify]: Simplify 2/3 into 2/3
8.196 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) n) (pow -1 1/3)) in n
8.196 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n
8.196 * [taylor]: Taking taylor expansion of (cbrt -1) in n
8.196 * [taylor]: Taking taylor expansion of -1 in n
8.196 * [backup-simplify]: Simplify -1 into -1
8.196 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.197 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.197 * [taylor]: Taking taylor expansion of n in n
8.197 * [backup-simplify]: Simplify 0 into 0
8.197 * [backup-simplify]: Simplify 1 into 1
8.198 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
8.198 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n
8.198 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n
8.198 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n
8.198 * [taylor]: Taking taylor expansion of 1/3 in n
8.198 * [backup-simplify]: Simplify 1/3 into 1/3
8.198 * [taylor]: Taking taylor expansion of (log -1) in n
8.198 * [taylor]: Taking taylor expansion of -1 in n
8.198 * [backup-simplify]: Simplify -1 into -1
8.199 * [backup-simplify]: Simplify (log -1) into (log -1)
8.200 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
8.201 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
8.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
8.204 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
8.205 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
8.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0
8.207 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0
8.209 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3))
8.210 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (* (cbrt -1) (pow -1 1/3)))) into 0
8.210 * [backup-simplify]: Simplify 0 into 0
8.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
8.212 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
8.214 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
8.215 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0
8.215 * [backup-simplify]: Simplify 0 into 0
8.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.217 * [backup-simplify]: Simplify (+ 0 0) into 0
8.218 * [backup-simplify]: Simplify (- 0) into 0
8.218 * [backup-simplify]: Simplify (+ 0 0) into 0
8.218 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2))))
8.220 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0
8.221 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0
8.223 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3)))
8.226 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) 0) (* (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) (cbrt -1)))) into (* 2/9 (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3)))
8.226 * [taylor]: Taking taylor expansion of (* 2/9 (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3))) in n
8.226 * [taylor]: Taking taylor expansion of 2/9 in n
8.226 * [backup-simplify]: Simplify 2/9 into 2/9
8.226 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 2)) (pow -1 1/3)) in n
8.226 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n
8.226 * [taylor]: Taking taylor expansion of (cbrt -1) in n
8.226 * [taylor]: Taking taylor expansion of -1 in n
8.226 * [backup-simplify]: Simplify -1 into -1
8.227 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.227 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.228 * [taylor]: Taking taylor expansion of (pow n 2) in n
8.228 * [taylor]: Taking taylor expansion of n in n
8.228 * [backup-simplify]: Simplify 0 into 0
8.228 * [backup-simplify]: Simplify 1 into 1
8.228 * [backup-simplify]: Simplify (* 1 1) into 1
8.229 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
8.229 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n
8.229 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n
8.229 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n
8.229 * [taylor]: Taking taylor expansion of 1/3 in n
8.229 * [backup-simplify]: Simplify 1/3 into 1/3
8.229 * [taylor]: Taking taylor expansion of (log -1) in n
8.229 * [taylor]: Taking taylor expansion of -1 in n
8.229 * [backup-simplify]: Simplify -1 into -1
8.230 * [backup-simplify]: Simplify (log -1) into (log -1)
8.231 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
8.232 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
8.234 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
8.235 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
8.238 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
8.240 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
8.242 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0
8.246 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
8.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.251 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0
8.252 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0
8.254 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3))
8.256 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3))))) into 0
8.256 * [backup-simplify]: Simplify 0 into 0
8.259 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
8.260 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
8.262 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.266 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0
8.268 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3))))) into 0
8.268 * [backup-simplify]: Simplify 0 into 0
8.271 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
8.272 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
8.276 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.279 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0
8.279 * [backup-simplify]: Simplify 0 into 0
8.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.281 * [backup-simplify]: Simplify (+ 0 0) into 0
8.281 * [backup-simplify]: Simplify (- 0) into 0
8.282 * [backup-simplify]: Simplify (+ 0 0) into 0
8.282 * [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))))
8.285 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3))
8.286 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3)))
8.288 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3)))
8.292 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* 2/3 (* (/ 1 n) (pow -1 1/3))) 0) (+ (* (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) 0) (* (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) (cbrt -1))))) into (* 22/81 (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3)))
8.292 * [taylor]: Taking taylor expansion of (* 22/81 (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3))) in n
8.292 * [taylor]: Taking taylor expansion of 22/81 in n
8.292 * [backup-simplify]: Simplify 22/81 into 22/81
8.292 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 3)) (pow -1 1/3)) in n
8.292 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n
8.292 * [taylor]: Taking taylor expansion of (cbrt -1) in n
8.292 * [taylor]: Taking taylor expansion of -1 in n
8.292 * [backup-simplify]: Simplify -1 into -1
8.292 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.293 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.293 * [taylor]: Taking taylor expansion of (pow n 3) in n
8.293 * [taylor]: Taking taylor expansion of n in n
8.293 * [backup-simplify]: Simplify 0 into 0
8.293 * [backup-simplify]: Simplify 1 into 1
8.293 * [backup-simplify]: Simplify (* 1 1) into 1
8.294 * [backup-simplify]: Simplify (* 1 1) into 1
8.295 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
8.295 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n
8.295 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n
8.295 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n
8.295 * [taylor]: Taking taylor expansion of 1/3 in n
8.295 * [backup-simplify]: Simplify 1/3 into 1/3
8.295 * [taylor]: Taking taylor expansion of (log -1) in n
8.295 * [taylor]: Taking taylor expansion of -1 in n
8.295 * [backup-simplify]: Simplify -1 into -1
8.295 * [backup-simplify]: Simplify (log -1) into (log -1)
8.296 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
8.298 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
8.299 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
8.300 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
8.303 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
8.304 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
8.310 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
8.312 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0
8.314 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0
8.325 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.331 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
8.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.336 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0
8.337 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0
8.337 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow -1 1/3))) into 0
8.338 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3))
8.339 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow -1 1/3)))))) into 0
8.339 * [backup-simplify]: Simplify 0 into 0
8.340 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3))
8.340 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1))
8.340 * [approximate]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in (f n) around 0
8.340 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in n
8.341 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in n
8.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n
8.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n
8.341 * [taylor]: Taking taylor expansion of 1/3 in n
8.341 * [backup-simplify]: Simplify 1/3 into 1/3
8.341 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n
8.341 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n
8.341 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
8.341 * [taylor]: Taking taylor expansion of (/ 1 f) in n
8.341 * [taylor]: Taking taylor expansion of f in n
8.341 * [backup-simplify]: Simplify f into f
8.341 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
8.341 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.341 * [taylor]: Taking taylor expansion of n in n
8.341 * [backup-simplify]: Simplify 0 into 0
8.341 * [backup-simplify]: Simplify 1 into 1
8.341 * [backup-simplify]: Simplify (/ 1 1) into 1
8.341 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n
8.341 * [taylor]: Taking taylor expansion of (/ 1 f) in n
8.341 * [taylor]: Taking taylor expansion of f in n
8.341 * [backup-simplify]: Simplify f into f
8.341 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
8.341 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.341 * [taylor]: Taking taylor expansion of n in n
8.341 * [backup-simplify]: Simplify 0 into 0
8.341 * [backup-simplify]: Simplify 1 into 1
8.341 * [backup-simplify]: Simplify (/ 1 1) into 1
8.342 * [backup-simplify]: Simplify (+ 0 1) into 1
8.342 * [backup-simplify]: Simplify (- 1) into -1
8.342 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.342 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.343 * [backup-simplify]: Simplify (log -1) into (log -1)
8.343 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
8.344 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
8.344 * [taylor]: Taking taylor expansion of (cbrt -1) in n
8.344 * [taylor]: Taking taylor expansion of -1 in n
8.344 * [backup-simplify]: Simplify -1 into -1
8.344 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.345 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.345 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in f
8.345 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f
8.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f
8.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f
8.345 * [taylor]: Taking taylor expansion of 1/3 in f
8.345 * [backup-simplify]: Simplify 1/3 into 1/3
8.345 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f
8.345 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f
8.345 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
8.345 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.345 * [taylor]: Taking taylor expansion of f in f
8.345 * [backup-simplify]: Simplify 0 into 0
8.345 * [backup-simplify]: Simplify 1 into 1
8.345 * [backup-simplify]: Simplify (/ 1 1) into 1
8.345 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.345 * [taylor]: Taking taylor expansion of n in f
8.345 * [backup-simplify]: Simplify n into n
8.345 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.345 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
8.345 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.345 * [taylor]: Taking taylor expansion of f in f
8.345 * [backup-simplify]: Simplify 0 into 0
8.345 * [backup-simplify]: Simplify 1 into 1
8.346 * [backup-simplify]: Simplify (/ 1 1) into 1
8.346 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.346 * [taylor]: Taking taylor expansion of n in f
8.346 * [backup-simplify]: Simplify n into n
8.346 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.346 * [backup-simplify]: Simplify (+ 1 0) into 1
8.346 * [backup-simplify]: Simplify (+ 1 0) into 1
8.347 * [backup-simplify]: Simplify (/ 1 1) into 1
8.347 * [backup-simplify]: Simplify (log 1) into 0
8.347 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.348 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
8.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.348 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
8.348 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n))
8.348 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n))
8.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n)
8.349 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n))
8.349 * [backup-simplify]: Simplify (exp 0) into 1
8.349 * [taylor]: Taking taylor expansion of (cbrt -1) in f
8.349 * [taylor]: Taking taylor expansion of -1 in f
8.349 * [backup-simplify]: Simplify -1 into -1
8.349 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.350 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.350 * [taylor]: Taking taylor expansion of (* (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) (cbrt -1)) in f
8.350 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f
8.350 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f
8.350 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f
8.350 * [taylor]: Taking taylor expansion of 1/3 in f
8.350 * [backup-simplify]: Simplify 1/3 into 1/3
8.350 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f
8.350 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f
8.350 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
8.350 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.350 * [taylor]: Taking taylor expansion of f in f
8.350 * [backup-simplify]: Simplify 0 into 0
8.350 * [backup-simplify]: Simplify 1 into 1
8.350 * [backup-simplify]: Simplify (/ 1 1) into 1
8.350 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.350 * [taylor]: Taking taylor expansion of n in f
8.350 * [backup-simplify]: Simplify n into n
8.350 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.350 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
8.350 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.350 * [taylor]: Taking taylor expansion of f in f
8.350 * [backup-simplify]: Simplify 0 into 0
8.350 * [backup-simplify]: Simplify 1 into 1
8.351 * [backup-simplify]: Simplify (/ 1 1) into 1
8.351 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.351 * [taylor]: Taking taylor expansion of n in f
8.351 * [backup-simplify]: Simplify n into n
8.351 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.351 * [backup-simplify]: Simplify (+ 1 0) into 1
8.351 * [backup-simplify]: Simplify (+ 1 0) into 1
8.352 * [backup-simplify]: Simplify (/ 1 1) into 1
8.352 * [backup-simplify]: Simplify (log 1) into 0
8.352 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.353 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
8.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.353 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
8.353 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n))
8.353 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n))
8.354 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n)
8.354 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n))
8.354 * [backup-simplify]: Simplify (exp 0) into 1
8.354 * [taylor]: Taking taylor expansion of (cbrt -1) in f
8.354 * [taylor]: Taking taylor expansion of -1 in f
8.354 * [backup-simplify]: Simplify -1 into -1
8.354 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.355 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.355 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1)
8.355 * [taylor]: Taking taylor expansion of (cbrt -1) in n
8.355 * [taylor]: Taking taylor expansion of -1 in n
8.355 * [backup-simplify]: Simplify -1 into -1
8.356 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.356 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.356 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.357 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (/ 2/3 n)
8.357 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 2/3 n) (cbrt -1))) into (* 2/3 (/ (cbrt -1) n))
8.357 * [taylor]: Taking taylor expansion of (* 2/3 (/ (cbrt -1) n)) in n
8.357 * [taylor]: Taking taylor expansion of 2/3 in n
8.357 * [backup-simplify]: Simplify 2/3 into 2/3
8.357 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n
8.357 * [taylor]: Taking taylor expansion of (cbrt -1) in n
8.357 * [taylor]: Taking taylor expansion of -1 in n
8.357 * [backup-simplify]: Simplify -1 into -1
8.358 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.358 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.358 * [taylor]: Taking taylor expansion of n in n
8.358 * [backup-simplify]: Simplify 0 into 0
8.358 * [backup-simplify]: Simplify 1 into 1
8.359 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
8.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0
8.360 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (cbrt -1))) into 0
8.360 * [backup-simplify]: Simplify 0 into 0
8.360 * [backup-simplify]: Simplify 0 into 0
8.361 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
8.362 * [backup-simplify]: Simplify (+ 0 0) into 0
8.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
8.362 * [backup-simplify]: Simplify (- 0) into 0
8.363 * [backup-simplify]: Simplify (+ 0 0) into 0
8.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2)))
8.365 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0
8.365 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 0))) into 0
8.366 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow n 2))
8.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 2/3 n) 0) (* (/ 2/9 (pow n 2)) (cbrt -1)))) into (* 2/9 (/ (cbrt -1) (pow n 2)))
8.368 * [taylor]: Taking taylor expansion of (* 2/9 (/ (cbrt -1) (pow n 2))) in n
8.368 * [taylor]: Taking taylor expansion of 2/9 in n
8.368 * [backup-simplify]: Simplify 2/9 into 2/9
8.368 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n
8.368 * [taylor]: Taking taylor expansion of (cbrt -1) in n
8.368 * [taylor]: Taking taylor expansion of -1 in n
8.368 * [backup-simplify]: Simplify -1 into -1
8.368 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.369 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.369 * [taylor]: Taking taylor expansion of (pow n 2) in n
8.369 * [taylor]: Taking taylor expansion of n in n
8.369 * [backup-simplify]: Simplify 0 into 0
8.369 * [backup-simplify]: Simplify 1 into 1
8.369 * [backup-simplify]: Simplify (* 1 1) into 1
8.370 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
8.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0
8.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.376 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
8.376 * [backup-simplify]: Simplify 0 into 0
8.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.380 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
8.380 * [backup-simplify]: Simplify 0 into 0
8.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.381 * [backup-simplify]: Simplify 0 into 0
8.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
8.384 * [backup-simplify]: Simplify (+ 0 0) into 0
8.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
8.385 * [backup-simplify]: Simplify (- 0) into 0
8.386 * [backup-simplify]: Simplify (+ 0 0) into 0
8.388 * [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)))
8.390 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1) (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow n 3))
8.391 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 0)))) into (* 2/9 (/ 1 (pow n 3)))
8.392 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 22/81 (pow n 3))
8.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 2/3 n) 0) (+ (* (/ 2/9 (pow n 2)) 0) (* (/ 22/81 (pow n 3)) (cbrt -1))))) into (* 22/81 (/ (cbrt -1) (pow n 3)))
8.394 * [taylor]: Taking taylor expansion of (* 22/81 (/ (cbrt -1) (pow n 3))) in n
8.394 * [taylor]: Taking taylor expansion of 22/81 in n
8.394 * [backup-simplify]: Simplify 22/81 into 22/81
8.394 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n
8.394 * [taylor]: Taking taylor expansion of (cbrt -1) in n
8.394 * [taylor]: Taking taylor expansion of -1 in n
8.394 * [backup-simplify]: Simplify -1 into -1
8.394 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.395 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
8.395 * [taylor]: Taking taylor expansion of (pow n 3) in n
8.395 * [taylor]: Taking taylor expansion of n in n
8.395 * [backup-simplify]: Simplify 0 into 0
8.395 * [backup-simplify]: Simplify 1 into 1
8.395 * [backup-simplify]: Simplify (* 1 1) into 1
8.396 * [backup-simplify]: Simplify (* 1 1) into 1
8.397 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
8.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
8.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0
8.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
8.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.405 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
8.405 * [backup-simplify]: Simplify 0 into 0
8.405 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
8.406 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3)
8.406 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in (f n) around 0
8.406 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in n
8.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n
8.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n
8.406 * [taylor]: Taking taylor expansion of 1/3 in n
8.406 * [backup-simplify]: Simplify 1/3 into 1/3
8.406 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n
8.406 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n
8.406 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
8.406 * [taylor]: Taking taylor expansion of (/ 1 f) in n
8.406 * [taylor]: Taking taylor expansion of f in n
8.406 * [backup-simplify]: Simplify f into f
8.406 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
8.406 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.406 * [taylor]: Taking taylor expansion of n in n
8.406 * [backup-simplify]: Simplify 0 into 0
8.406 * [backup-simplify]: Simplify 1 into 1
8.406 * [backup-simplify]: Simplify (/ 1 1) into 1
8.406 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n
8.406 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.406 * [taylor]: Taking taylor expansion of n in n
8.406 * [backup-simplify]: Simplify 0 into 0
8.406 * [backup-simplify]: Simplify 1 into 1
8.406 * [backup-simplify]: Simplify (/ 1 1) into 1
8.406 * [taylor]: Taking taylor expansion of (/ 1 f) in n
8.406 * [taylor]: Taking taylor expansion of f in n
8.406 * [backup-simplify]: Simplify f into f
8.407 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
8.407 * [backup-simplify]: Simplify (+ 0 1) into 1
8.407 * [backup-simplify]: Simplify (+ 1 0) into 1
8.407 * [backup-simplify]: Simplify (/ 1 1) into 1
8.408 * [backup-simplify]: Simplify (log 1) into 0
8.408 * [backup-simplify]: Simplify (* 1/3 0) into 0
8.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.408 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f)
8.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.409 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f))
8.409 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f))
8.409 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f))
8.409 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f)
8.410 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f))
8.410 * [backup-simplify]: Simplify (exp 0) into 1
8.410 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f
8.410 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f
8.410 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f
8.410 * [taylor]: Taking taylor expansion of 1/3 in f
8.410 * [backup-simplify]: Simplify 1/3 into 1/3
8.410 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f
8.410 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f
8.410 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
8.410 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.410 * [taylor]: Taking taylor expansion of f in f
8.410 * [backup-simplify]: Simplify 0 into 0
8.410 * [backup-simplify]: Simplify 1 into 1
8.410 * [backup-simplify]: Simplify (/ 1 1) into 1
8.410 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.410 * [taylor]: Taking taylor expansion of n in f
8.410 * [backup-simplify]: Simplify n into n
8.410 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.410 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
8.410 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.410 * [taylor]: Taking taylor expansion of n in f
8.410 * [backup-simplify]: Simplify n into n
8.410 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.410 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.410 * [taylor]: Taking taylor expansion of f in f
8.410 * [backup-simplify]: Simplify 0 into 0
8.410 * [backup-simplify]: Simplify 1 into 1
8.411 * [backup-simplify]: Simplify (/ 1 1) into 1
8.411 * [backup-simplify]: Simplify (+ 1 0) into 1
8.411 * [backup-simplify]: Simplify (- 1) into -1
8.411 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.412 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.412 * [backup-simplify]: Simplify (log -1) into (log -1)
8.412 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
8.413 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
8.413 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f
8.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f
8.413 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f
8.413 * [taylor]: Taking taylor expansion of 1/3 in f
8.413 * [backup-simplify]: Simplify 1/3 into 1/3
8.413 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f
8.413 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f
8.414 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
8.414 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.414 * [taylor]: Taking taylor expansion of f in f
8.414 * [backup-simplify]: Simplify 0 into 0
8.414 * [backup-simplify]: Simplify 1 into 1
8.414 * [backup-simplify]: Simplify (/ 1 1) into 1
8.414 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.414 * [taylor]: Taking taylor expansion of n in f
8.414 * [backup-simplify]: Simplify n into n
8.414 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.414 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
8.414 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.414 * [taylor]: Taking taylor expansion of n in f
8.414 * [backup-simplify]: Simplify n into n
8.414 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.414 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.414 * [taylor]: Taking taylor expansion of f in f
8.414 * [backup-simplify]: Simplify 0 into 0
8.414 * [backup-simplify]: Simplify 1 into 1
8.414 * [backup-simplify]: Simplify (/ 1 1) into 1
8.415 * [backup-simplify]: Simplify (+ 1 0) into 1
8.415 * [backup-simplify]: Simplify (- 1) into -1
8.415 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.416 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.416 * [backup-simplify]: Simplify (log -1) into (log -1)
8.416 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
8.417 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
8.417 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n
8.417 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n
8.417 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n
8.417 * [taylor]: Taking taylor expansion of 1/3 in n
8.417 * [backup-simplify]: Simplify 1/3 into 1/3
8.418 * [taylor]: Taking taylor expansion of (log -1) in n
8.418 * [taylor]: Taking taylor expansion of -1 in n
8.418 * [backup-simplify]: Simplify -1 into -1
8.418 * [backup-simplify]: Simplify (log -1) into (log -1)
8.418 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
8.419 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
8.420 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3)
8.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.420 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
8.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.421 * [backup-simplify]: Simplify (- 0) into 0
8.421 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
8.421 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n)))
8.421 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n)
8.422 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n))
8.423 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (/ 1 n) (pow -1 1/3)))
8.423 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ 1 n) (pow -1 1/3))) in n
8.423 * [taylor]: Taking taylor expansion of 2/3 in n
8.423 * [backup-simplify]: Simplify 2/3 into 2/3
8.423 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow -1 1/3)) in n
8.423 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.423 * [taylor]: Taking taylor expansion of n in n
8.423 * [backup-simplify]: Simplify 0 into 0
8.423 * [backup-simplify]: Simplify 1 into 1
8.423 * [backup-simplify]: Simplify (/ 1 1) into 1
8.423 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n
8.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n
8.423 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n
8.423 * [taylor]: Taking taylor expansion of 1/3 in n
8.423 * [backup-simplify]: Simplify 1/3 into 1/3
8.423 * [taylor]: Taking taylor expansion of (log -1) in n
8.423 * [taylor]: Taking taylor expansion of -1 in n
8.423 * [backup-simplify]: Simplify -1 into -1
8.423 * [backup-simplify]: Simplify (log -1) into (log -1)
8.424 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
8.425 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
8.426 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
8.430 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
8.431 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
8.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0
8.434 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3)
8.435 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (pow -1 1/3))) into 0
8.435 * [backup-simplify]: Simplify 0 into 0
8.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
8.437 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
8.438 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
8.438 * [backup-simplify]: Simplify 0 into 0
8.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
8.440 * [backup-simplify]: Simplify (+ 0 0) into 0
8.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
8.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.441 * [backup-simplify]: Simplify (- 0) into 0
8.442 * [backup-simplify]: Simplify (+ 0 0) into 0
8.443 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2))))
8.444 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0
8.445 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0
8.448 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3)))
8.448 * [taylor]: Taking taylor expansion of (* 2/9 (* (/ 1 (pow n 2)) (pow -1 1/3))) in n
8.448 * [taylor]: Taking taylor expansion of 2/9 in n
8.448 * [backup-simplify]: Simplify 2/9 into 2/9
8.448 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow -1 1/3)) in n
8.448 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
8.448 * [taylor]: Taking taylor expansion of (pow n 2) in n
8.448 * [taylor]: Taking taylor expansion of n in n
8.448 * [backup-simplify]: Simplify 0 into 0
8.448 * [backup-simplify]: Simplify 1 into 1
8.448 * [backup-simplify]: Simplify (* 1 1) into 1
8.449 * [backup-simplify]: Simplify (/ 1 1) into 1
8.449 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n
8.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n
8.449 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n
8.449 * [taylor]: Taking taylor expansion of 1/3 in n
8.449 * [backup-simplify]: Simplify 1/3 into 1/3
8.449 * [taylor]: Taking taylor expansion of (log -1) in n
8.449 * [taylor]: Taking taylor expansion of -1 in n
8.449 * [backup-simplify]: Simplify -1 into -1
8.449 * [backup-simplify]: Simplify (log -1) into (log -1)
8.450 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
8.452 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
8.453 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
8.454 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
8.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
8.458 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
8.460 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.463 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
8.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0
8.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0
8.469 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3)
8.470 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0
8.470 * [backup-simplify]: Simplify 0 into 0
8.473 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
8.474 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
8.477 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0
8.480 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0
8.480 * [backup-simplify]: Simplify 0 into 0
8.482 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
8.482 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
8.484 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.484 * [backup-simplify]: Simplify 0 into 0
8.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
8.485 * [backup-simplify]: Simplify (+ 0 0) into 0
8.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
8.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.485 * [backup-simplify]: Simplify (- 0) into 0
8.486 * [backup-simplify]: Simplify (+ 0 0) into 0
8.487 * [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))))
8.488 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3))
8.489 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3)))
8.490 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3)))
8.491 * [taylor]: Taking taylor expansion of (* 22/81 (* (/ 1 (pow n 3)) (pow -1 1/3))) in n
8.491 * [taylor]: Taking taylor expansion of 22/81 in n
8.491 * [backup-simplify]: Simplify 22/81 into 22/81
8.491 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow -1 1/3)) in n
8.491 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
8.491 * [taylor]: Taking taylor expansion of (pow n 3) in n
8.491 * [taylor]: Taking taylor expansion of n in n
8.491 * [backup-simplify]: Simplify 0 into 0
8.491 * [backup-simplify]: Simplify 1 into 1
8.491 * [backup-simplify]: Simplify (* 1 1) into 1
8.491 * [backup-simplify]: Simplify (* 1 1) into 1
8.491 * [backup-simplify]: Simplify (/ 1 1) into 1
8.491 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n
8.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n
8.491 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n
8.491 * [taylor]: Taking taylor expansion of 1/3 in n
8.492 * [backup-simplify]: Simplify 1/3 into 1/3
8.492 * [taylor]: Taking taylor expansion of (log -1) in n
8.492 * [taylor]: Taking taylor expansion of -1 in n
8.492 * [backup-simplify]: Simplify -1 into -1
8.492 * [backup-simplify]: Simplify (log -1) into (log -1)
8.492 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1))
8.493 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3)
8.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
8.495 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0
8.497 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
8.497 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0
8.500 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
8.501 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0
8.503 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.505 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.508 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0
8.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0
8.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0
8.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0
8.516 * [backup-simplify]: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3)
8.517 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0
8.518 * [backup-simplify]: Simplify 0 into 0
8.518 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3)
8.518 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
8.518 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n)))
8.518 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0
8.518 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n
8.518 * [taylor]: Taking taylor expansion of -1 in n
8.518 * [backup-simplify]: Simplify -1 into -1
8.518 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n
8.519 * [taylor]: Taking taylor expansion of (+ n f) in n
8.519 * [taylor]: Taking taylor expansion of n in n
8.519 * [backup-simplify]: Simplify 0 into 0
8.519 * [backup-simplify]: Simplify 1 into 1
8.519 * [taylor]: Taking taylor expansion of f in n
8.519 * [backup-simplify]: Simplify f into f
8.519 * [taylor]: Taking taylor expansion of (- f n) in n
8.519 * [taylor]: Taking taylor expansion of f in n
8.519 * [backup-simplify]: Simplify f into f
8.519 * [taylor]: Taking taylor expansion of n in n
8.519 * [backup-simplify]: Simplify 0 into 0
8.519 * [backup-simplify]: Simplify 1 into 1
8.519 * [backup-simplify]: Simplify (+ 0 f) into f
8.519 * [backup-simplify]: Simplify (- 0) into 0
8.519 * [backup-simplify]: Simplify (+ f 0) into f
8.519 * [backup-simplify]: Simplify (/ f f) into 1
8.519 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f
8.519 * [taylor]: Taking taylor expansion of -1 in f
8.519 * [backup-simplify]: Simplify -1 into -1
8.519 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f
8.520 * [taylor]: Taking taylor expansion of (+ n f) in f
8.520 * [taylor]: Taking taylor expansion of n in f
8.520 * [backup-simplify]: Simplify n into n
8.520 * [taylor]: Taking taylor expansion of f in f
8.520 * [backup-simplify]: Simplify 0 into 0
8.520 * [backup-simplify]: Simplify 1 into 1
8.520 * [taylor]: Taking taylor expansion of (- f n) in f
8.520 * [taylor]: Taking taylor expansion of f in f
8.520 * [backup-simplify]: Simplify 0 into 0
8.520 * [backup-simplify]: Simplify 1 into 1
8.520 * [taylor]: Taking taylor expansion of n in f
8.520 * [backup-simplify]: Simplify n into n
8.520 * [backup-simplify]: Simplify (+ n 0) into n
8.520 * [backup-simplify]: Simplify (- n) into (- n)
8.520 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
8.520 * [backup-simplify]: Simplify (/ n (- n)) into -1
8.520 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f
8.520 * [taylor]: Taking taylor expansion of -1 in f
8.520 * [backup-simplify]: Simplify -1 into -1
8.520 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f
8.520 * [taylor]: Taking taylor expansion of (+ n f) in f
8.520 * [taylor]: Taking taylor expansion of n in f
8.520 * [backup-simplify]: Simplify n into n
8.520 * [taylor]: Taking taylor expansion of f in f
8.520 * [backup-simplify]: Simplify 0 into 0
8.520 * [backup-simplify]: Simplify 1 into 1
8.520 * [taylor]: Taking taylor expansion of (- f n) in f
8.520 * [taylor]: Taking taylor expansion of f in f
8.520 * [backup-simplify]: Simplify 0 into 0
8.520 * [backup-simplify]: Simplify 1 into 1
8.520 * [taylor]: Taking taylor expansion of n in f
8.520 * [backup-simplify]: Simplify n into n
8.521 * [backup-simplify]: Simplify (+ n 0) into n
8.521 * [backup-simplify]: Simplify (- n) into (- n)
8.521 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n)
8.521 * [backup-simplify]: Simplify (/ n (- n)) into -1
8.521 * [backup-simplify]: Simplify (* -1 -1) into 1
8.521 * [taylor]: Taking taylor expansion of 1 in n
8.521 * [backup-simplify]: Simplify 1 into 1
8.521 * [backup-simplify]: Simplify 1 into 1
8.522 * [backup-simplify]: Simplify (+ 0 1) into 1
8.522 * [backup-simplify]: Simplify (- 0) into 0
8.523 * [backup-simplify]: Simplify (+ 1 0) into 1
8.523 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n)))
8.523 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n))
8.523 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
8.523 * [taylor]: Taking taylor expansion of 2 in n
8.524 * [backup-simplify]: Simplify 2 into 2
8.524 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.524 * [taylor]: Taking taylor expansion of n in n
8.524 * [backup-simplify]: Simplify 0 into 0
8.524 * [backup-simplify]: Simplify 1 into 1
8.524 * [backup-simplify]: Simplify (/ 1 1) into 1
8.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.525 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
8.526 * [backup-simplify]: Simplify 0 into 0
8.526 * [backup-simplify]: Simplify 0 into 0
8.526 * [backup-simplify]: Simplify (+ 0 0) into 0
8.526 * [backup-simplify]: Simplify (- 0) into 0
8.527 * [backup-simplify]: Simplify (+ 0 0) into 0
8.527 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2))))
8.528 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2)))
8.528 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
8.528 * [taylor]: Taking taylor expansion of 2 in n
8.528 * [backup-simplify]: Simplify 2 into 2
8.528 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
8.528 * [taylor]: Taking taylor expansion of (pow n 2) in n
8.528 * [taylor]: Taking taylor expansion of n in n
8.528 * [backup-simplify]: Simplify 0 into 0
8.528 * [backup-simplify]: Simplify 1 into 1
8.528 * [backup-simplify]: Simplify (* 1 1) into 1
8.529 * [backup-simplify]: Simplify (/ 1 1) into 1
8.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.532 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.532 * [backup-simplify]: Simplify 0 into 0
8.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.533 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.533 * [backup-simplify]: Simplify 0 into 0
8.533 * [backup-simplify]: Simplify 0 into 0
8.534 * [backup-simplify]: Simplify (+ 0 0) into 0
8.534 * [backup-simplify]: Simplify (- 0) into 0
8.534 * [backup-simplify]: Simplify (+ 0 0) into 0
8.534 * [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))))
8.535 * [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)))
8.535 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
8.535 * [taylor]: Taking taylor expansion of 2 in n
8.535 * [backup-simplify]: Simplify 2 into 2
8.535 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
8.535 * [taylor]: Taking taylor expansion of (pow n 3) in n
8.535 * [taylor]: Taking taylor expansion of n in n
8.535 * [backup-simplify]: Simplify 0 into 0
8.535 * [backup-simplify]: Simplify 1 into 1
8.535 * [backup-simplify]: Simplify (* 1 1) into 1
8.536 * [backup-simplify]: Simplify (* 1 1) into 1
8.536 * [backup-simplify]: Simplify (/ 1 1) into 1
8.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.541 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.541 * [backup-simplify]: Simplify 0 into 0
8.541 * [backup-simplify]: Simplify 1 into 1
8.541 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))
8.541 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0
8.541 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n
8.541 * [taylor]: Taking taylor expansion of -1 in n
8.541 * [backup-simplify]: Simplify -1 into -1
8.541 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n
8.541 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
8.541 * [taylor]: Taking taylor expansion of (/ 1 f) in n
8.541 * [taylor]: Taking taylor expansion of f in n
8.541 * [backup-simplify]: Simplify f into f
8.541 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
8.541 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.541 * [taylor]: Taking taylor expansion of n in n
8.541 * [backup-simplify]: Simplify 0 into 0
8.541 * [backup-simplify]: Simplify 1 into 1
8.541 * [backup-simplify]: Simplify (/ 1 1) into 1
8.541 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n
8.542 * [taylor]: Taking taylor expansion of (/ 1 f) in n
8.542 * [taylor]: Taking taylor expansion of f in n
8.542 * [backup-simplify]: Simplify f into f
8.542 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
8.542 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.542 * [taylor]: Taking taylor expansion of n in n
8.542 * [backup-simplify]: Simplify 0 into 0
8.542 * [backup-simplify]: Simplify 1 into 1
8.542 * [backup-simplify]: Simplify (/ 1 1) into 1
8.542 * [backup-simplify]: Simplify (+ 0 1) into 1
8.542 * [backup-simplify]: Simplify (- 1) into -1
8.543 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.543 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.543 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f
8.543 * [taylor]: Taking taylor expansion of -1 in f
8.543 * [backup-simplify]: Simplify -1 into -1
8.543 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f
8.543 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
8.543 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.543 * [taylor]: Taking taylor expansion of f in f
8.543 * [backup-simplify]: Simplify 0 into 0
8.543 * [backup-simplify]: Simplify 1 into 1
8.543 * [backup-simplify]: Simplify (/ 1 1) into 1
8.543 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.543 * [taylor]: Taking taylor expansion of n in f
8.543 * [backup-simplify]: Simplify n into n
8.543 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.543 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
8.543 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.543 * [taylor]: Taking taylor expansion of f in f
8.543 * [backup-simplify]: Simplify 0 into 0
8.543 * [backup-simplify]: Simplify 1 into 1
8.544 * [backup-simplify]: Simplify (/ 1 1) into 1
8.544 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.544 * [taylor]: Taking taylor expansion of n in f
8.544 * [backup-simplify]: Simplify n into n
8.544 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.544 * [backup-simplify]: Simplify (+ 1 0) into 1
8.544 * [backup-simplify]: Simplify (+ 1 0) into 1
8.545 * [backup-simplify]: Simplify (/ 1 1) into 1
8.545 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f
8.545 * [taylor]: Taking taylor expansion of -1 in f
8.545 * [backup-simplify]: Simplify -1 into -1
8.545 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f
8.545 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
8.545 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.545 * [taylor]: Taking taylor expansion of f in f
8.545 * [backup-simplify]: Simplify 0 into 0
8.545 * [backup-simplify]: Simplify 1 into 1
8.549 * [backup-simplify]: Simplify (/ 1 1) into 1
8.549 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.549 * [taylor]: Taking taylor expansion of n in f
8.549 * [backup-simplify]: Simplify n into n
8.549 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.549 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f
8.549 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.549 * [taylor]: Taking taylor expansion of f in f
8.549 * [backup-simplify]: Simplify 0 into 0
8.549 * [backup-simplify]: Simplify 1 into 1
8.549 * [backup-simplify]: Simplify (/ 1 1) into 1
8.549 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.549 * [taylor]: Taking taylor expansion of n in f
8.549 * [backup-simplify]: Simplify n into n
8.549 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.550 * [backup-simplify]: Simplify (+ 1 0) into 1
8.550 * [backup-simplify]: Simplify (+ 1 0) into 1
8.550 * [backup-simplify]: Simplify (/ 1 1) into 1
8.550 * [backup-simplify]: Simplify (* -1 1) into -1
8.550 * [taylor]: Taking taylor expansion of -1 in n
8.550 * [backup-simplify]: Simplify -1 into -1
8.550 * [backup-simplify]: Simplify -1 into -1
8.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.551 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
8.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.552 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
8.552 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n))
8.552 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n))
8.552 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n)))
8.552 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n
8.552 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
8.552 * [taylor]: Taking taylor expansion of 2 in n
8.552 * [backup-simplify]: Simplify 2 into 2
8.552 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.552 * [taylor]: Taking taylor expansion of n in n
8.552 * [backup-simplify]: Simplify 0 into 0
8.552 * [backup-simplify]: Simplify 1 into 1
8.553 * [backup-simplify]: Simplify (/ 1 1) into 1
8.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.553 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
8.554 * [backup-simplify]: Simplify (- 0) into 0
8.554 * [backup-simplify]: Simplify 0 into 0
8.554 * [backup-simplify]: Simplify 0 into 0
8.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
8.555 * [backup-simplify]: Simplify (+ 0 0) into 0
8.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
8.555 * [backup-simplify]: Simplify (- 0) into 0
8.556 * [backup-simplify]: Simplify (+ 0 0) into 0
8.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2)))
8.557 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2))))
8.557 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n
8.557 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
8.557 * [taylor]: Taking taylor expansion of 2 in n
8.557 * [backup-simplify]: Simplify 2 into 2
8.557 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
8.557 * [taylor]: Taking taylor expansion of (pow n 2) in n
8.557 * [taylor]: Taking taylor expansion of n in n
8.557 * [backup-simplify]: Simplify 0 into 0
8.557 * [backup-simplify]: Simplify 1 into 1
8.557 * [backup-simplify]: Simplify (* 1 1) into 1
8.557 * [backup-simplify]: Simplify (/ 1 1) into 1
8.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.560 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.560 * [backup-simplify]: Simplify (- 0) into 0
8.561 * [backup-simplify]: Simplify 0 into 0
8.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.562 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.563 * [backup-simplify]: Simplify (- 0) into 0
8.563 * [backup-simplify]: Simplify 0 into 0
8.563 * [backup-simplify]: Simplify 0 into 0
8.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
8.564 * [backup-simplify]: Simplify (+ 0 0) into 0
8.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
8.566 * [backup-simplify]: Simplify (- 0) into 0
8.566 * [backup-simplify]: Simplify (+ 0 0) into 0
8.568 * [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)))
8.569 * [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))))
8.569 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n
8.569 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
8.569 * [taylor]: Taking taylor expansion of 2 in n
8.569 * [backup-simplify]: Simplify 2 into 2
8.569 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
8.569 * [taylor]: Taking taylor expansion of (pow n 3) in n
8.569 * [taylor]: Taking taylor expansion of n in n
8.569 * [backup-simplify]: Simplify 0 into 0
8.569 * [backup-simplify]: Simplify 1 into 1
8.570 * [backup-simplify]: Simplify (* 1 1) into 1
8.570 * [backup-simplify]: Simplify (* 1 1) into 1
8.571 * [backup-simplify]: Simplify (/ 1 1) into 1
8.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.581 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.581 * [backup-simplify]: Simplify (- 0) into 0
8.581 * [backup-simplify]: Simplify 0 into 0
8.581 * [backup-simplify]: Simplify -1 into -1
8.582 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))
8.582 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0
8.582 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n
8.582 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n
8.582 * [taylor]: Taking taylor expansion of (/ 1 f) in n
8.582 * [taylor]: Taking taylor expansion of f in n
8.582 * [backup-simplify]: Simplify f into f
8.582 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
8.582 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.582 * [taylor]: Taking taylor expansion of n in n
8.582 * [backup-simplify]: Simplify 0 into 0
8.582 * [backup-simplify]: Simplify 1 into 1
8.583 * [backup-simplify]: Simplify (/ 1 1) into 1
8.583 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n
8.583 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.583 * [taylor]: Taking taylor expansion of n in n
8.583 * [backup-simplify]: Simplify 0 into 0
8.583 * [backup-simplify]: Simplify 1 into 1
8.583 * [backup-simplify]: Simplify (/ 1 1) into 1
8.583 * [taylor]: Taking taylor expansion of (/ 1 f) in n
8.583 * [taylor]: Taking taylor expansion of f in n
8.583 * [backup-simplify]: Simplify f into f
8.583 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f)
8.584 * [backup-simplify]: Simplify (+ 0 1) into 1
8.584 * [backup-simplify]: Simplify (+ 1 0) into 1
8.584 * [backup-simplify]: Simplify (/ 1 1) into 1
8.585 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f
8.585 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
8.585 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.585 * [taylor]: Taking taylor expansion of f in f
8.585 * [backup-simplify]: Simplify 0 into 0
8.585 * [backup-simplify]: Simplify 1 into 1
8.585 * [backup-simplify]: Simplify (/ 1 1) into 1
8.585 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.585 * [taylor]: Taking taylor expansion of n in f
8.585 * [backup-simplify]: Simplify n into n
8.585 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.585 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
8.585 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.585 * [taylor]: Taking taylor expansion of n in f
8.585 * [backup-simplify]: Simplify n into n
8.585 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.585 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.586 * [taylor]: Taking taylor expansion of f in f
8.586 * [backup-simplify]: Simplify 0 into 0
8.586 * [backup-simplify]: Simplify 1 into 1
8.586 * [backup-simplify]: Simplify (/ 1 1) into 1
8.587 * [backup-simplify]: Simplify (+ 1 0) into 1
8.587 * [backup-simplify]: Simplify (- 1) into -1
8.587 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.588 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.588 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f
8.588 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f
8.588 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.588 * [taylor]: Taking taylor expansion of f in f
8.588 * [backup-simplify]: Simplify 0 into 0
8.588 * [backup-simplify]: Simplify 1 into 1
8.588 * [backup-simplify]: Simplify (/ 1 1) into 1
8.589 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.589 * [taylor]: Taking taylor expansion of n in f
8.589 * [backup-simplify]: Simplify n into n
8.589 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.589 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f
8.589 * [taylor]: Taking taylor expansion of (/ 1 n) in f
8.589 * [taylor]: Taking taylor expansion of n in f
8.589 * [backup-simplify]: Simplify n into n
8.589 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
8.589 * [taylor]: Taking taylor expansion of (/ 1 f) in f
8.589 * [taylor]: Taking taylor expansion of f in f
8.589 * [backup-simplify]: Simplify 0 into 0
8.589 * [backup-simplify]: Simplify 1 into 1
8.589 * [backup-simplify]: Simplify (/ 1 1) into 1
8.590 * [backup-simplify]: Simplify (+ 1 0) into 1
8.590 * [backup-simplify]: Simplify (- 1) into -1
8.591 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.591 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.591 * [taylor]: Taking taylor expansion of -1 in n
8.592 * [backup-simplify]: Simplify -1 into -1
8.592 * [backup-simplify]: Simplify -1 into -1
8.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.593 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
8.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.594 * [backup-simplify]: Simplify (- 0) into 0
8.594 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
8.594 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n)))
8.594 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n
8.594 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n
8.594 * [taylor]: Taking taylor expansion of 2 in n
8.594 * [backup-simplify]: Simplify 2 into 2
8.594 * [taylor]: Taking taylor expansion of (/ 1 n) in n
8.594 * [taylor]: Taking taylor expansion of n in n
8.594 * [backup-simplify]: Simplify 0 into 0
8.594 * [backup-simplify]: Simplify 1 into 1
8.595 * [backup-simplify]: Simplify (/ 1 1) into 1
8.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.596 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
8.597 * [backup-simplify]: Simplify (- 0) into 0
8.597 * [backup-simplify]: Simplify 0 into 0
8.597 * [backup-simplify]: Simplify 0 into 0
8.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
8.598 * [backup-simplify]: Simplify (+ 0 0) into 0
8.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
8.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.600 * [backup-simplify]: Simplify (- 0) into 0
8.600 * [backup-simplify]: Simplify (+ 0 0) into 0
8.601 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2))))
8.601 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n
8.601 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n
8.601 * [taylor]: Taking taylor expansion of 2 in n
8.601 * [backup-simplify]: Simplify 2 into 2
8.601 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
8.602 * [taylor]: Taking taylor expansion of (pow n 2) in n
8.602 * [taylor]: Taking taylor expansion of n in n
8.602 * [backup-simplify]: Simplify 0 into 0
8.602 * [backup-simplify]: Simplify 1 into 1
8.602 * [backup-simplify]: Simplify (* 1 1) into 1
8.602 * [backup-simplify]: Simplify (/ 1 1) into 1
8.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.607 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.607 * [backup-simplify]: Simplify (- 0) into 0
8.607 * [backup-simplify]: Simplify 0 into 0
8.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.608 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.609 * [backup-simplify]: Simplify (- 0) into 0
8.609 * [backup-simplify]: Simplify 0 into 0
8.609 * [backup-simplify]: Simplify 0 into 0
8.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
8.610 * [backup-simplify]: Simplify (+ 0 0) into 0
8.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
8.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.610 * [backup-simplify]: Simplify (- 0) into 0
8.611 * [backup-simplify]: Simplify (+ 0 0) into 0
8.612 * [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))))
8.612 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n
8.612 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n
8.612 * [taylor]: Taking taylor expansion of 2 in n
8.612 * [backup-simplify]: Simplify 2 into 2
8.612 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
8.612 * [taylor]: Taking taylor expansion of (pow n 3) in n
8.612 * [taylor]: Taking taylor expansion of n in n
8.612 * [backup-simplify]: Simplify 0 into 0
8.612 * [backup-simplify]: Simplify 1 into 1
8.612 * [backup-simplify]: Simplify (* 1 1) into 1
8.612 * [backup-simplify]: Simplify (* 1 1) into 1
8.613 * [backup-simplify]: Simplify (/ 1 1) into 1
8.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.618 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.618 * [backup-simplify]: Simplify (- 0) into 0
8.618 * [backup-simplify]: Simplify 0 into 0
8.618 * [backup-simplify]: Simplify -1 into -1
8.618 * * * [progress]: simplifying candidates
8.627 * [simplify]: Simplifying:
  (expm1 (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
  (log1p (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
  (+ 1 1)
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (+ 1 1)
  (+ (- (log (- (+ f n))) (log (- f n))) (- (log (- (+ f n))) (log (- f n))))
  (+ (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))))
  (+ (log (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))))
  (+ (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))))
  (log (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
  (exp (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
  (* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))))
  (* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))
  (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))))
  (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))
  (* (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))))
  (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
  (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
  (sqrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
  (sqrt (* (/ (- (+ 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))) (cbrt (/ (- (+ f n)) (- f n)))))
  (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
  (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))))
  (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ 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)))))
  (* (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (cbrt (- (+ f n))) (cbrt (- f n))))
  (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))))
  (* (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))))
  (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1))
  (* (/ (cbrt (- (+ f n))) (- f n)) (/ (cbrt (- (+ f n))) (- f n)))
  (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1))
  (* (/ (cbrt (- (+ f n))) (- f n)) (/ (cbrt (- (+ f n))) (- f n)))
  (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt 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))) (cbrt (- (+ f n)))) 1))
  (* (/ (cbrt (- (+ f n))) (- f n)) (/ (cbrt (- (+ f n))) (- f n)))
  (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1))
  (* (/ (cbrt (- (+ f n))) (- f n)) (/ (cbrt (- (+ f n))) (- f n)))
  (* (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))
  (* (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (cbrt (- f n))))
  (* (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))))
  (* (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))))
  (* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) 1))
  (* (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (- f n)))
  (* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) 1))
  (* (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (- f n)))
  (* (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))))
  (* (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))))
  (* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) 1))
  (* (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (- f n)))
  (* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) 1))
  (* (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (- f n)))
  (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))
  (* (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n))))
  (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))
  (* (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n))))
  (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))
  (* (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n))))
  (* (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))))
  (* (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))))
  (* (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))))
  (* (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))))
  (* (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))))
  (* (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))))
  (* (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))))
  (* (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))))
  (* (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))))
  (* (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))))
  (* (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 1) (/ 1 1))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))))
  (* (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))))
  (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))))
  (* (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))
  (* (/ -1 1) (/ -1 1))
  (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))
  (* (/ -1 1) (/ -1 1))
  (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))
  (* (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))))
  (* (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))))
  (* (/ -1 1) (/ -1 1))
  (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))
  (* (/ -1 1) (/ -1 1))
  (* (/ (+ f n) (- 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)))))
  (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n))))
  (* (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))))
  (* (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))))
  (* (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))
  (* (/ (cbrt (+ f n)) (- f n)) (/ (cbrt (+ f n)) (- f n)))
  (* (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))
  (* (/ (cbrt (+ f n)) (- f n)) (/ (cbrt (+ f n)) (- f n)))
  (* (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt 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)) (cbrt (+ f n)))) 1))
  (* (/ (cbrt (+ f n)) (- f n)) (/ (cbrt (+ f n)) (- f n)))
  (* (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))
  (* (/ (cbrt (+ f n)) (- f n)) (/ (cbrt (+ f n)) (- f n)))
  (* (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))
  (* (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (sqrt (+ f n)) (cbrt (- f n))))
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  (* (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- f n)))
  (* (/ (+ f n) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (- (+ f n)) (- f n)))
  (* (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (- (+ f n)) (- f n)))
  (* (/ (- (cbrt (+ f n))) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- f n)))
  (* (/ (- (cbrt (+ f n))) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (- (+ f n)) (- f n)))
  (* (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (- (+ f n)) (- f n)))
  (* (/ (- (sqrt (+ f n))) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- f n)))
  (* (/ (- (sqrt (+ f n))) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (- f n)))
  (* (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (- f n)))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- f n)))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (- f n)))
  (* (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (- f n)))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- f n)))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
  (* (/ 1 (- f n)) (/ (- (+ f n)) (- f n)))
  (* (+ (* f f) (+ (* n n) (* f n))) (/ (- (+ f n)) (- f n)))
  (* (+ f n) (/ (- (+ f n)) (- f n)))
  (* (/ (- (+ f n)) (- f n)) (- (+ f n)))
  (* (- (+ f n)) (/ (- (+ f n)) (- f n)))
  (expm1 (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))))
  (log1p (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))))
  (log (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))))
  (exp (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))))
  (cbrt (/ (- (+ f n)) (- f n)))
  (cbrt (/ (- (+ f n)) (- f n)))
  (cbrt (* (- (+ f n)) (- (+ f n))))
  (cbrt (* (- f n) (- f n)))
  (cbrt (* (/ (- (+ f n)) (- f n)) (- (+ f n))))
  (cbrt (- f n))
  (cbrt (* (- (+ f n)) (/ (- (+ f n)) (- f n))))
  (cbrt (- f n))
  (* (cbrt (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))) (cbrt (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))))
  (cbrt (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))))
  (* (* (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))))
  (sqrt (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))))
  (sqrt (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))))
  (expm1 (cbrt (/ (- (+ f n)) (- f n))))
  (log1p (cbrt (/ (- (+ f n)) (- f n))))
  (log (cbrt (/ (- (+ f n)) (- f n))))
  (exp (cbrt (/ (- (+ f n)) (- f n))))
  (cbrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))))
  (cbrt (cbrt (/ (- (+ f n)) (- f n))))
  (cbrt (sqrt (/ (- (+ f n)) (- f n))))
  (cbrt (sqrt (/ (- (+ f n)) (- f n))))
  (cbrt (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))
  (cbrt (/ (cbrt (- (+ f n))) (cbrt (- f n))))
  (cbrt (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))))
  (cbrt (/ (cbrt (- (+ f n))) (sqrt (- f n))))
  (cbrt (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1))
  (cbrt (/ (cbrt (- (+ f n))) (- f n)))
  (cbrt (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))))
  (cbrt (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))))
  (cbrt (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1))
  (cbrt (/ (cbrt (- (+ f n))) (- f n)))
  (cbrt (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))
  (cbrt (/ (sqrt (- (+ f n))) (cbrt (- f n))))
  (cbrt (/ (sqrt (- (+ f n))) (sqrt (- f n))))
  (cbrt (/ (sqrt (- (+ f n))) (sqrt (- f n))))
  (cbrt (/ (sqrt (- (+ f n))) 1))
  (cbrt (/ (sqrt (- (+ f n))) (- f n)))
  (cbrt (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))))
  (cbrt (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))))
  (cbrt (/ (sqrt (- (+ f n))) 1))
  (cbrt (/ (sqrt (- (+ f n))) (- f n)))
  (cbrt (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))
  (cbrt (/ (- (+ f n)) (cbrt (- f n))))
  (cbrt (/ 1 (sqrt (- f n))))
  (cbrt (/ (- (+ f n)) (sqrt (- f n))))
  (cbrt (/ 1 1))
  (cbrt (/ (- (+ f n)) (- f n)))
  (cbrt (/ 1 (+ (sqrt f) (sqrt n))))
  (cbrt (/ (- (+ f n)) (- (sqrt f) (sqrt n))))
  (cbrt (/ 1 1))
  (cbrt (/ (- (+ f n)) (- f n)))
  (cbrt (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))))
  (cbrt (/ (+ f n) (cbrt (- f n))))
  (cbrt (/ -1 (sqrt (- f n))))
  (cbrt (/ (+ f n) (sqrt (- f n))))
  (cbrt (/ -1 1))
  (cbrt (/ (+ f n) (- f n)))
  (cbrt (/ -1 (+ (sqrt f) (sqrt n))))
  (cbrt (/ (+ f n) (- (sqrt f) (sqrt n))))
  (cbrt (/ -1 1))
  (cbrt (/ (+ f n) (- f n)))
  (cbrt (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))
  (cbrt (/ (cbrt (+ f n)) (cbrt (- f n))))
  (cbrt (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))))
  (cbrt (/ (cbrt (+ f n)) (sqrt (- f n))))
  (cbrt (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))
  (cbrt (/ (cbrt (+ f n)) (- f n)))
  (cbrt (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))))
  (cbrt (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))))
  (cbrt (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))
  (cbrt (/ (cbrt (+ f n)) (- f n)))
  (cbrt (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))
  (cbrt (/ (sqrt (+ f n)) (cbrt (- f n))))
  (cbrt (/ (- (sqrt (+ f n))) (sqrt (- f n))))
  (cbrt (/ (sqrt (+ f n)) (sqrt (- f n))))
  (cbrt (/ (- (sqrt (+ f n))) 1))
  (cbrt (/ (sqrt (+ f n)) (- f n)))
  (cbrt (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))))
  (cbrt (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))))
  (cbrt (/ (- (sqrt (+ f n))) 1))
  (cbrt (/ (sqrt (+ f n)) (- f n)))
  (cbrt (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))
  (cbrt (/ (+ f n) (cbrt (- f n))))
  (cbrt (/ (- 1) (sqrt (- f n))))
  (cbrt (/ (+ f n) (sqrt (- f n))))
  (cbrt (/ (- 1) 1))
  (cbrt (/ (+ f n) (- f n)))
  (cbrt (/ (- 1) (+ (sqrt f) (sqrt n))))
  (cbrt (/ (+ f n) (- (sqrt f) (sqrt n))))
  (cbrt (/ (- 1) 1))
  (cbrt (/ (+ f n) (- f n)))
  (cbrt (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))
  (cbrt (/ (+ f n) (cbrt (- f n))))
  (cbrt (/ (- 1) (sqrt (- f n))))
  (cbrt (/ (+ f n) (sqrt (- f n))))
  (cbrt (/ (- 1) 1))
  (cbrt (/ (+ f n) (- f n)))
  (cbrt (/ (- 1) (+ (sqrt f) (sqrt n))))
  (cbrt (/ (+ f n) (- (sqrt f) (sqrt n))))
  (cbrt (/ (- 1) 1))
  (cbrt (/ (+ f n) (- f n)))
  (cbrt (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))
  (cbrt (/ (- (cbrt (+ f n))) (cbrt (- f n))))
  (cbrt (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))))
  (cbrt (/ (- (cbrt (+ f n))) (sqrt (- f n))))
  (cbrt (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))
  (cbrt (/ (- (cbrt (+ f n))) (- f n)))
  (cbrt (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))))
  (cbrt (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))))
  (cbrt (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))
  (cbrt (/ (- (cbrt (+ f n))) (- f n)))
  (cbrt (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))))
  (cbrt (/ (- (sqrt (+ f n))) (cbrt (- f n))))
  (cbrt (/ (sqrt (+ f n)) (sqrt (- f n))))
  (cbrt (/ (- (sqrt (+ f n))) (sqrt (- f n))))
  (cbrt (/ (sqrt (+ f n)) 1))
  (cbrt (/ (- (sqrt (+ f n))) (- f n)))
  (cbrt (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))))
  (cbrt (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))))
  (cbrt (/ (sqrt (+ f n)) 1))
  (cbrt (/ (- (sqrt (+ f n))) (- f n)))
  (cbrt (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))
  (cbrt (/ (- (+ f n)) (cbrt (- f n))))
  (cbrt (/ 1 (sqrt (- f n))))
  (cbrt (/ (- (+ f n)) (sqrt (- f n))))
  (cbrt (/ 1 1))
  (cbrt (/ (- (+ f n)) (- f n)))
  (cbrt (/ 1 (+ (sqrt f) (sqrt n))))
  (cbrt (/ (- (+ f n)) (- (sqrt f) (sqrt n))))
  (cbrt (/ 1 1))
  (cbrt (/ (- (+ f n)) (- f n)))
  (cbrt (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))
  (cbrt (/ (- (+ f n)) (cbrt (- f n))))
  (cbrt (/ 1 (sqrt (- f n))))
  (cbrt (/ (- (+ f n)) (sqrt (- f n))))
  (cbrt (/ 1 1))
  (cbrt (/ (- (+ f n)) (- f n)))
  (cbrt (/ 1 (+ (sqrt f) (sqrt n))))
  (cbrt (/ (- (+ f n)) (- (sqrt f) (sqrt n))))
  (cbrt (/ 1 1))
  (cbrt (/ (- (+ f n)) (- f n)))
  (cbrt 1)
  (cbrt (/ (- (+ f n)) (- f n)))
  (cbrt (- (+ f n)))
  (cbrt (/ 1 (- f n)))
  (cbrt (/ (- (+ f n)) (- (pow f 3) (pow n 3))))
  (cbrt (+ (* f f) (+ (* n n) (* f n))))
  (cbrt (/ (- (+ f n)) (- (* f f) (* n n))))
  (cbrt (+ f n))
  (cbrt (- (+ f n)))
  (cbrt (- f n))
  (* (cbrt (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (cbrt (/ (- (+ f n)) (- f n)))))
  (cbrt (cbrt (/ (- (+ f n)) (- f n))))
  (* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))))
  (sqrt (cbrt (/ (- (+ f n)) (- f n))))
  (sqrt (cbrt (/ (- (+ f n)) (- f n))))
  (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
  1
  1
  1
  (* (cbrt -1) (pow -1 1/3))
  (cbrt -1)
  (pow -1 1/3)
  1
  -1
  -1
8.636 * * [simplify]: iteration 0: 406 enodes
8.825 * * [simplify]: iteration 1: 1304 enodes
9.880 * * [simplify]: iteration 2: 4997 enodes
11.063 * * [simplify]: iteration complete: 5000 enodes
11.064 * * [simplify]: Extracting #0: cost 301 inf + 0
11.078 * * [simplify]: Extracting #1: cost 1466 inf + 4
11.084 * * [simplify]: Extracting #2: cost 1924 inf + 1073
11.097 * * [simplify]: Extracting #3: cost 1663 inf + 49563
11.174 * * [simplify]: Extracting #4: cost 603 inf + 348107
11.309 * * [simplify]: Extracting #5: cost 18 inf + 552078
11.408 * * [simplify]: Extracting #6: cost 0 inf + 556815
11.563 * [simplify]: Simplified to:
  (expm1 (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (log1p (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  2
  (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
  2
  (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (exp (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))
  (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (sqrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (sqrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))
  (* (+ n f) (+ n f))
  (* (- f n) (- f n))
  (* (* (cbrt (/ (- (- f) n) (- f n))) (cbrt (/ (- (- f) n) (- f n)))) (* (cbrt (/ (- (- f) n) (- f n))) (cbrt (/ (- (- f) n) (- f n)))))
  (* (cbrt (/ (- (- f) n) (- f n))) (cbrt (/ (- (- f) n) (- f n))))
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  (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n)))
  (* (cbrt (+ n f)) (cbrt (+ n f)))
  (/ (- (cbrt (+ n f))) (- f n))
  (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))))
  (/ (- (sqrt (+ n f))) (cbrt (- f n)))
  (/ (sqrt (+ n f)) (sqrt (- f n)))
  (- (/ (sqrt (+ n f)) (sqrt (- f n))))
  (sqrt (+ n f))
  (- (/ (sqrt (+ n f)) (- f n)))
  (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f)))
  (- (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))))
  (sqrt (+ n f))
  (- (/ (sqrt (+ n f)) (- f n)))
  (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))
  (- (/ (+ n f) (cbrt (- f n))))
  (/ 1 (sqrt (- f n)))
  (/ (- (- f) n) (sqrt (- f n)))
  1
  (/ (- (- f) n) (- f n))
  (/ 1 (+ (sqrt n) (sqrt f)))
  (/ (- (+ n f)) (- (sqrt f) (sqrt n)))
  1
  (/ (- (- f) n) (- f n))
  (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))
  (- (/ (+ n f) (cbrt (- f n))))
  (/ 1 (sqrt (- f n)))
  (/ (- (- f) n) (sqrt (- f n)))
  1
  (/ (- (- f) n) (- f n))
  (/ 1 (+ (sqrt n) (sqrt f)))
  (/ (- (+ n f)) (- (sqrt f) (sqrt n)))
  1
  (/ (- (- f) n) (- f n))
  (/ 1 (- f n))
  (/ (- f n) (- (- f) n))
  (/ (+ n f) (- f n))
  (/ (/ (- (- f) n) (cbrt (- f n))) (cbrt (- f n)))
  (/ (- (- f) n) (sqrt (- f n)))
  (- (- f) n)
  (- (/ (+ n f) (+ (sqrt n) (sqrt f))))
  (- (- f) n)
  (/ (- f n) (cbrt (- (- f) n)))
  (/ (- f n) (sqrt (- (- f) n)))
  (/ (- f n) (- (- f) n))
  (/ (- f n) (+ n f))
  (/ (- f n) (cbrt (+ n f)))
  (/ (- f n) (sqrt (+ n f)))
  (/ (- f n) (+ n f))
  (/ (- f n) (+ n f))
  (/ (- f n) (- (cbrt (+ n f))))
  (/ (- f n) (- (sqrt (+ n f))))
  (/ (- f n) (- (- f) n))
  (/ (- f n) (- (- f) n))
  (/ (- (- f) n) (- (* f (* f f)) (* n (* n n))))
  (- (/ (+ n f) (* (+ n f) (- f n))))
  (* (- f n) (fma n (- n f) (* f f)))
  (* (- f n) (- f n))
  1
  1
  1
  1
  1
  1
  (* (cbrt -1) (cbrt -1))
  (cbrt -1)
  (cbrt -1)
  1
  -1
  -1
11.642 * * * [progress]: adding candidates to table
14.028 * [progress]: [Phase 3 of 3] Extracting.
14.028 * * [regime]: Finding splitpoints for: (#<alt (λ (f n) (/ (- (+ f n)) (- f n)))> #<alt (λ (f n) (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))))> #<alt (λ (f n) (* (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))))>)
14.029 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f)
14.030 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (#<alt (λ (f n) (/ (- (+ f n)) (- f n)))> #<alt (λ (f n) (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))))> #<alt (λ (f n) (* (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))))>)
14.078 * * * * [regimes]: Trying to branch on n from (#<alt (λ (f n) (/ (- (+ f n)) (- f n)))> #<alt (λ (f n) (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))))> #<alt (λ (f n) (* (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))))>)
14.144 * * * * [regimes]: Trying to branch on f from (#<alt (λ (f n) (/ (- (+ f n)) (- f n)))> #<alt (λ (f n) (cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))))> #<alt (λ (f n) (* (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))))>)
14.180 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
14.180 * [simplify]: Simplifying:
  (/ (- (+ f n)) (- f n))
14.180 * * [simplify]: iteration 0: 6 enodes
14.181 * * [simplify]: iteration 1: 12 enodes
14.181 * * [simplify]: iteration 2: 13 enodes
14.182 * * [simplify]: iteration complete: 13 enodes
14.182 * * [simplify]: Extracting #0: cost 1 inf + 0
14.182 * * [simplify]: Extracting #1: cost 4 inf + 0
14.182 * * [simplify]: Extracting #2: cost 9 inf + 0
14.182 * * [simplify]: Extracting #3: cost 6 inf + 43
14.182 * * [simplify]: Extracting #4: cost 0 inf + 534
14.182 * [simplify]: Simplified to:
  (/ (- (+ n f)) (- f n))
15.356 * [regime-testing]: Baseline error score: 0.026130710089842968
15.374 * [regime-testing]: Oracle error score: 0.01713898456120116
15.395 * [regime-testing]: End program error score: 0.026130710089842968