0.869 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.258 * * * [progress]: [2/2] Setting up program. 0.261 * [progress]: [Phase 2 of 3] Improving. 0.263 * [simplify]: Simplifying using # : (/ (- (+ f n)) (- f n)) 0.269 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.270 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.272 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.273 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.275 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.276 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.277 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.278 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.279 * * [progress]: iteration 1 / 4 0.279 * * * [progress]: picking best candidate 0.281 * * * * [pick]: Picked # 0.281 * * * [progress]: localizing error 0.289 * * * [progress]: generating rewritten candidates 0.290 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.307 * * * [progress]: generating series expansions 0.307 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.311 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.312 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.312 * [taylor]: Taking taylor expansion of -1 in n 0.312 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.312 * [taylor]: Taking taylor expansion of (+ n f) in n 0.312 * [taylor]: Taking taylor expansion of n in n 0.312 * [taylor]: Taking taylor expansion of f in n 0.312 * [taylor]: Taking taylor expansion of (- f n) in n 0.313 * [taylor]: Taking taylor expansion of f in n 0.313 * [taylor]: Taking taylor expansion of n in n 0.313 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.313 * [taylor]: Taking taylor expansion of -1 in f 0.313 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.313 * [taylor]: Taking taylor expansion of (+ n f) in f 0.313 * [taylor]: Taking taylor expansion of n in f 0.313 * [taylor]: Taking taylor expansion of f in f 0.313 * [taylor]: Taking taylor expansion of (- f n) in f 0.313 * [taylor]: Taking taylor expansion of f in f 0.313 * [taylor]: Taking taylor expansion of n in f 0.314 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.314 * [taylor]: Taking taylor expansion of -1 in f 0.314 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.314 * [taylor]: Taking taylor expansion of (+ n f) in f 0.314 * [taylor]: Taking taylor expansion of n in f 0.314 * [taylor]: Taking taylor expansion of f in f 0.314 * [taylor]: Taking taylor expansion of (- f n) in f 0.314 * [taylor]: Taking taylor expansion of f in f 0.314 * [taylor]: Taking taylor expansion of n in f 0.315 * [taylor]: Taking taylor expansion of 1 in n 0.316 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.316 * [taylor]: Taking taylor expansion of 2 in n 0.316 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.316 * [taylor]: Taking taylor expansion of n in n 0.319 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.319 * [taylor]: Taking taylor expansion of 2 in n 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.319 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.319 * [taylor]: Taking taylor expansion of n in n 0.325 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.325 * [taylor]: Taking taylor expansion of 2 in n 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.325 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.331 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.331 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.331 * [taylor]: Taking taylor expansion of -1 in n 0.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.331 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.331 * [taylor]: Taking taylor expansion of f in n 0.331 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.332 * [taylor]: Taking taylor expansion of f in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.333 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.333 * [taylor]: Taking taylor expansion of -1 in f 0.333 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.333 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.333 * [taylor]: Taking taylor expansion of f in f 0.333 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.333 * [taylor]: Taking taylor expansion of n in f 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.333 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.333 * [taylor]: Taking taylor expansion of f in f 0.334 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.334 * [taylor]: Taking taylor expansion of n in f 0.335 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.335 * [taylor]: Taking taylor expansion of -1 in f 0.335 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.335 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.335 * [taylor]: Taking taylor expansion of f in f 0.335 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.335 * [taylor]: Taking taylor expansion of n in f 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.335 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.335 * [taylor]: Taking taylor expansion of f in f 0.335 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.335 * [taylor]: Taking taylor expansion of n in f 0.336 * [taylor]: Taking taylor expansion of -1 in n 0.338 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.338 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.338 * [taylor]: Taking taylor expansion of 2 in n 0.338 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.338 * [taylor]: Taking taylor expansion of n in n 0.342 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.342 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.342 * [taylor]: Taking taylor expansion of 2 in n 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.343 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.343 * [taylor]: Taking taylor expansion of n in n 0.367 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.367 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.367 * [taylor]: Taking taylor expansion of 2 in n 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.367 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.367 * [taylor]: Taking taylor expansion of n in n 0.373 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.373 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.373 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.373 * [taylor]: Taking taylor expansion of f in n 0.373 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.373 * [taylor]: Taking taylor expansion of n in n 0.374 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.374 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.374 * [taylor]: Taking taylor expansion of n in n 0.374 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.374 * [taylor]: Taking taylor expansion of f in n 0.375 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.375 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.375 * [taylor]: Taking taylor expansion of f in f 0.375 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.375 * [taylor]: Taking taylor expansion of n in f 0.375 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.375 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.375 * [taylor]: Taking taylor expansion of n in f 0.375 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.375 * [taylor]: Taking taylor expansion of f in f 0.376 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.376 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.376 * [taylor]: Taking taylor expansion of f in f 0.377 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.377 * [taylor]: Taking taylor expansion of n in f 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.377 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.377 * [taylor]: Taking taylor expansion of n in f 0.377 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.377 * [taylor]: Taking taylor expansion of f in f 0.378 * [taylor]: Taking taylor expansion of -1 in n 0.379 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.379 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.379 * [taylor]: Taking taylor expansion of 2 in n 0.379 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.379 * [taylor]: Taking taylor expansion of n in n 0.383 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.383 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.383 * [taylor]: Taking taylor expansion of 2 in n 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.383 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.383 * [taylor]: Taking taylor expansion of n in n 0.390 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.390 * [taylor]: Taking taylor expansion of 2 in n 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.390 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.390 * [taylor]: Taking taylor expansion of n in n 0.396 * * * [progress]: simplifying candidates 0.397 * [simplify]: Simplifying using # : (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 0.403 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.407 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.423 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 0.461 * * [simplify]: iteration 3 : 5001 enodes (cost 743 ) 0.465 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ f n) (- n f) 0 (/ (+ 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)))) (/ (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)))) (/ (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))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (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 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 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 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -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)))) (/ (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)))) (/ (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))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (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 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -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 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -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))) (/ (- (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))) (/ (- (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)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (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 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 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 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 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)) (/ (- (+ f n)) (+ (sqrt f) (sqrt 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) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (fma f f (- (* n n) (* f n))) (- f n)) (* (- f n) (- f n)) 1 -1 -1 0.466 * * * [progress]: adding candidates to table 0.594 * * [progress]: iteration 2 / 4 0.594 * * * [progress]: picking best candidate 0.600 * * * * [pick]: Picked # 0.600 * * * [progress]: localizing error 0.606 * * * [progress]: generating rewritten candidates 0.606 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.614 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.637 * * * [progress]: generating series expansions 0.637 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.637 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 0.637 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 0.637 * [taylor]: Taking taylor expansion of (- f n) in n 0.637 * [taylor]: Taking taylor expansion of f in n 0.637 * [taylor]: Taking taylor expansion of n in n 0.637 * [taylor]: Taking taylor expansion of (+ n f) in n 0.637 * [taylor]: Taking taylor expansion of n in n 0.637 * [taylor]: Taking taylor expansion of f in n 0.638 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.638 * [taylor]: Taking taylor expansion of (- f n) in f 0.638 * [taylor]: Taking taylor expansion of f in f 0.638 * [taylor]: Taking taylor expansion of n in f 0.638 * [taylor]: Taking taylor expansion of (+ n f) in f 0.638 * [taylor]: Taking taylor expansion of n in f 0.638 * [taylor]: Taking taylor expansion of f in f 0.638 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.638 * [taylor]: Taking taylor expansion of (- f n) in f 0.638 * [taylor]: Taking taylor expansion of f in f 0.638 * [taylor]: Taking taylor expansion of n in f 0.638 * [taylor]: Taking taylor expansion of (+ n f) in f 0.638 * [taylor]: Taking taylor expansion of n in f 0.638 * [taylor]: Taking taylor expansion of f in f 0.638 * [taylor]: Taking taylor expansion of -1 in n 0.639 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.639 * [taylor]: Taking taylor expansion of 2 in n 0.639 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.639 * [taylor]: Taking taylor expansion of n in n 0.641 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.641 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.641 * [taylor]: Taking taylor expansion of 2 in n 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.641 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.641 * [taylor]: Taking taylor expansion of n in n 0.646 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.646 * [taylor]: Taking taylor expansion of 2 in n 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.646 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.646 * [taylor]: Taking taylor expansion of n in n 0.652 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 0.652 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 0.652 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.652 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.652 * [taylor]: Taking taylor expansion of f in n 0.652 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.652 * [taylor]: Taking taylor expansion of n in n 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.652 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.652 * [taylor]: Taking taylor expansion of f in n 0.652 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.652 * [taylor]: Taking taylor expansion of n in n 0.653 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.653 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.653 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.653 * [taylor]: Taking taylor expansion of f in f 0.654 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.654 * [taylor]: Taking taylor expansion of n in f 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.654 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.654 * [taylor]: Taking taylor expansion of f in f 0.654 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.654 * [taylor]: Taking taylor expansion of n in f 0.655 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.655 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.655 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.655 * [taylor]: Taking taylor expansion of f in f 0.655 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.655 * [taylor]: Taking taylor expansion of n in f 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.655 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.655 * [taylor]: Taking taylor expansion of f in f 0.655 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.655 * [taylor]: Taking taylor expansion of n in f 0.656 * [taylor]: Taking taylor expansion of 1 in n 0.657 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.657 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.657 * [taylor]: Taking taylor expansion of 2 in n 0.657 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.657 * [taylor]: Taking taylor expansion of n in n 0.662 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.662 * [taylor]: Taking taylor expansion of 2 in n 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.662 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.662 * [taylor]: Taking taylor expansion of n in n 0.668 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.668 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.668 * [taylor]: Taking taylor expansion of 2 in n 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.668 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.668 * [taylor]: Taking taylor expansion of n in n 0.674 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 0.674 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 0.674 * [taylor]: Taking taylor expansion of -1 in n 0.674 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 0.674 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.674 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.674 * [taylor]: Taking taylor expansion of n in n 0.674 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.674 * [taylor]: Taking taylor expansion of f in n 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.674 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.674 * [taylor]: Taking taylor expansion of f in n 0.674 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.674 * [taylor]: Taking taylor expansion of n in n 0.675 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.675 * [taylor]: Taking taylor expansion of -1 in f 0.675 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.675 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.675 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.675 * [taylor]: Taking taylor expansion of n in f 0.676 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.676 * [taylor]: Taking taylor expansion of f in f 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.676 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.676 * [taylor]: Taking taylor expansion of f in f 0.676 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.676 * [taylor]: Taking taylor expansion of n in f 0.677 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.677 * [taylor]: Taking taylor expansion of -1 in f 0.677 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.677 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.677 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.677 * [taylor]: Taking taylor expansion of n in f 0.677 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.677 * [taylor]: Taking taylor expansion of f in f 0.677 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.677 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.678 * [taylor]: Taking taylor expansion of f in f 0.678 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.678 * [taylor]: Taking taylor expansion of n in f 0.679 * [taylor]: Taking taylor expansion of 1 in n 0.681 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.681 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.681 * [taylor]: Taking taylor expansion of 2 in n 0.681 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.681 * [taylor]: Taking taylor expansion of n in n 0.685 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.685 * [taylor]: Taking taylor expansion of 2 in n 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.685 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.685 * [taylor]: Taking taylor expansion of n in n 0.692 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.692 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.692 * [taylor]: Taking taylor expansion of 2 in n 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.692 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.692 * [taylor]: Taking taylor expansion of n in n 0.702 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.702 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.702 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.702 * [taylor]: Taking taylor expansion of -1 in n 0.702 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.702 * [taylor]: Taking taylor expansion of (+ n f) in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.702 * [taylor]: Taking taylor expansion of f in n 0.702 * [taylor]: Taking taylor expansion of (- f n) in n 0.702 * [taylor]: Taking taylor expansion of f in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.702 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.702 * [taylor]: Taking taylor expansion of -1 in f 0.702 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.702 * [taylor]: Taking taylor expansion of (+ n f) in f 0.702 * [taylor]: Taking taylor expansion of n in f 0.703 * [taylor]: Taking taylor expansion of f in f 0.703 * [taylor]: Taking taylor expansion of (- f n) in f 0.703 * [taylor]: Taking taylor expansion of f in f 0.703 * [taylor]: Taking taylor expansion of n in f 0.703 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.703 * [taylor]: Taking taylor expansion of -1 in f 0.703 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.703 * [taylor]: Taking taylor expansion of (+ n f) in f 0.703 * [taylor]: Taking taylor expansion of n in f 0.703 * [taylor]: Taking taylor expansion of f in f 0.703 * [taylor]: Taking taylor expansion of (- f n) in f 0.703 * [taylor]: Taking taylor expansion of f in f 0.703 * [taylor]: Taking taylor expansion of n in f 0.703 * [taylor]: Taking taylor expansion of 1 in n 0.704 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.704 * [taylor]: Taking taylor expansion of 2 in n 0.704 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.704 * [taylor]: Taking taylor expansion of n in n 0.707 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.707 * [taylor]: Taking taylor expansion of 2 in n 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.707 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.707 * [taylor]: Taking taylor expansion of n in n 0.712 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.712 * [taylor]: Taking taylor expansion of 2 in n 0.712 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.712 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.712 * [taylor]: Taking taylor expansion of n in n 0.718 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.718 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.718 * [taylor]: Taking taylor expansion of -1 in n 0.718 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.718 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.718 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.718 * [taylor]: Taking taylor expansion of f in n 0.718 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.718 * [taylor]: Taking taylor expansion of n in n 0.718 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.718 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.718 * [taylor]: Taking taylor expansion of f in n 0.718 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.718 * [taylor]: Taking taylor expansion of n in n 0.719 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.720 * [taylor]: Taking taylor expansion of -1 in f 0.720 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.720 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.720 * [taylor]: Taking taylor expansion of f in f 0.720 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.720 * [taylor]: Taking taylor expansion of n in f 0.720 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.720 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.720 * [taylor]: Taking taylor expansion of f in f 0.720 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.720 * [taylor]: Taking taylor expansion of n in f 0.721 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.721 * [taylor]: Taking taylor expansion of -1 in f 0.721 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.721 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.721 * [taylor]: Taking taylor expansion of f in f 0.721 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.721 * [taylor]: Taking taylor expansion of n in f 0.721 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.721 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.721 * [taylor]: Taking taylor expansion of f in f 0.722 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.722 * [taylor]: Taking taylor expansion of n in f 0.723 * [taylor]: Taking taylor expansion of -1 in n 0.724 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.724 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.724 * [taylor]: Taking taylor expansion of 2 in n 0.724 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.724 * [taylor]: Taking taylor expansion of n in n 0.728 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.728 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.728 * [taylor]: Taking taylor expansion of 2 in n 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.728 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.728 * [taylor]: Taking taylor expansion of n in n 0.735 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.736 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.736 * [taylor]: Taking taylor expansion of 2 in n 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.736 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.736 * [taylor]: Taking taylor expansion of n in n 0.741 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.741 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.741 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.741 * [taylor]: Taking taylor expansion of f in n 0.741 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.741 * [taylor]: Taking taylor expansion of n in n 0.742 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.742 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.742 * [taylor]: Taking taylor expansion of n in n 0.742 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.742 * [taylor]: Taking taylor expansion of f in n 0.743 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.743 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.743 * [taylor]: Taking taylor expansion of f in f 0.743 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.743 * [taylor]: Taking taylor expansion of n in f 0.743 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.743 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.743 * [taylor]: Taking taylor expansion of n in f 0.743 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.743 * [taylor]: Taking taylor expansion of f in f 0.744 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.744 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.744 * [taylor]: Taking taylor expansion of f in f 0.745 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.745 * [taylor]: Taking taylor expansion of n in f 0.745 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.745 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.745 * [taylor]: Taking taylor expansion of n in f 0.745 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.745 * [taylor]: Taking taylor expansion of f in f 0.746 * [taylor]: Taking taylor expansion of -1 in n 0.747 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.747 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.747 * [taylor]: Taking taylor expansion of 2 in n 0.747 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.747 * [taylor]: Taking taylor expansion of n in n 0.751 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.751 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.751 * [taylor]: Taking taylor expansion of 2 in n 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.751 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.751 * [taylor]: Taking taylor expansion of n in n 0.758 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.758 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.758 * [taylor]: Taking taylor expansion of 2 in n 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.758 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.758 * [taylor]: Taking taylor expansion of n in n 0.764 * * * [progress]: simplifying candidates 0.766 * [simplify]: Simplifying using # : (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) 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1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ (- f n) (sqrt (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 1) (/ -1 (/ (- f n) (+ f n))) (/ 1 (- f n)) (/ -1 (/ 1 (+ f n))) (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (+ (* f f) (- (* n n) (* f n)))) (/ 1 (/ (- f n) (- (* f f) (* n n)))) (/ -1 (- f n)) (/ 1 (/ (- f n) (+ f n))) (/ (/ (- f n) (+ f n)) -1) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 1) (/ -1 (- f n)) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (/ -1 (- f n)) -1 1 1 1 -1 -1 0.775 * * [simplify]: iteration 0 : 532 enodes (cost 1466 ) 0.786 * * [simplify]: iteration 1 : 2571 enodes (cost 1420 ) 0.828 * * [simplify]: iteration 2 : 5001 enodes (cost 1301 ) 0.838 * [simplify]: Simplified to: (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (log (/ (- f n) (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (pow (/ (- f n) (+ f n)) 3) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (pow (/ (- f n) (+ f n)) 3) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (* -1 (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))) (/ (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)) (/ (sqrt (- f n)) (+ f n)) (sqrt (- f n)) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* 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(sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) (* (sqrt -1) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (* (sqrt -1) (sqrt (+ f n))) (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (* (sqrt -1) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (* (sqrt -1) (sqrt (+ f n))) (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (- f n)) (* (sqrt -1) (+ f n)) (/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (sqrt -1) (fma n (- n f) (* f f))) (/ (sqrt -1) (/ (- f n) (- (* f f) (* n n)))) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (sqrt (+ f n)) (/ -1 (/ (- f n) (sqrt (+ f n)))) 1 (/ -1 (/ (- f n) (+ f n))) 1 (/ -1 (/ (- f n) (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ -1 (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ -1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (sqrt (+ f n)) (/ -1 (/ (- f n) (sqrt (+ f n)))) 1 (/ -1 (/ (- f n) (+ f n))) 1 (/ -1 (/ (- f n) (+ f n))) 1 (/ -1 (/ (- f n) (+ f n))) (/ 1 (- f n)) (* -1 (+ f n)) (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (fma n (- n f) (* f f))) (/ 1 (/ (- f n) (- (* f f) (* n n)))) (/ -1 (- f n)) (/ 1 (/ (- f n) (+ f n))) (/ (/ (- f n) (+ f n)) -1) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (* -1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (* -1 (sqrt (+ f n))) -1 -1 (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (* -1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (* -1 (sqrt (+ f n))) -1 -1 -1 (/ -1 (- f n)) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) -1) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (/ -1 (- f n)) -1 1 1 1 -1 -1 0.840 * * * [progress]: adding candidates to table 1.041 * * [progress]: iteration 3 / 4 1.041 * * * [progress]: picking best candidate 1.046 * * * * [pick]: Picked # 1.046 * * * [progress]: localizing error 1.055 * * * [progress]: generating rewritten candidates 1.055 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.064 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.072 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.081 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.217 * * * [progress]: generating series expansions 1.217 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.217 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.217 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.217 * [taylor]: Taking taylor expansion of -1 in n 1.217 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.217 * [taylor]: Taking taylor expansion of (+ n f) in n 1.217 * [taylor]: Taking taylor expansion of n in n 1.217 * [taylor]: Taking taylor expansion of f in n 1.217 * [taylor]: Taking taylor expansion of (- f n) in n 1.217 * [taylor]: Taking taylor expansion of f in n 1.218 * [taylor]: Taking taylor expansion of n in n 1.218 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.218 * [taylor]: Taking taylor expansion of -1 in f 1.218 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.218 * [taylor]: Taking taylor expansion of (+ n f) in f 1.218 * [taylor]: Taking taylor expansion of n in f 1.218 * [taylor]: Taking taylor expansion of f in f 1.218 * [taylor]: Taking taylor expansion of (- f n) in f 1.218 * [taylor]: Taking taylor expansion of f in f 1.218 * [taylor]: Taking taylor expansion of n in f 1.218 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.218 * [taylor]: Taking taylor expansion of -1 in f 1.218 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.218 * [taylor]: Taking taylor expansion of (+ n f) in f 1.219 * [taylor]: Taking taylor expansion of n in f 1.219 * [taylor]: Taking taylor expansion of f in f 1.219 * [taylor]: Taking taylor expansion of (- f n) in f 1.219 * [taylor]: Taking taylor expansion of f in f 1.219 * [taylor]: Taking taylor expansion of n in f 1.219 * [taylor]: Taking taylor expansion of 1 in n 1.220 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.220 * [taylor]: Taking taylor expansion of 2 in n 1.220 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.220 * [taylor]: Taking taylor expansion of n in n 1.222 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.222 * [taylor]: Taking taylor expansion of 2 in n 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.223 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.223 * [taylor]: Taking taylor expansion of n in n 1.228 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.228 * [taylor]: Taking taylor expansion of 2 in n 1.228 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.228 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.228 * [taylor]: Taking taylor expansion of n in n 1.233 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.233 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.233 * [taylor]: Taking taylor expansion of -1 in n 1.233 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.233 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.233 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.233 * [taylor]: Taking taylor expansion of f in n 1.233 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.233 * [taylor]: Taking taylor expansion of n in n 1.234 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.234 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.234 * [taylor]: Taking taylor expansion of f in n 1.234 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.234 * [taylor]: Taking taylor expansion of n in n 1.235 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.235 * [taylor]: Taking taylor expansion of -1 in f 1.235 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.235 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.235 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.235 * [taylor]: Taking taylor expansion of f in f 1.235 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.235 * [taylor]: Taking taylor expansion of n in f 1.235 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.235 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.235 * [taylor]: Taking taylor expansion of f in f 1.235 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.236 * [taylor]: Taking taylor expansion of n in f 1.236 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.236 * [taylor]: Taking taylor expansion of -1 in f 1.236 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.236 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.236 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.236 * [taylor]: Taking taylor expansion of f in f 1.237 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.237 * [taylor]: Taking taylor expansion of n in f 1.237 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.237 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.237 * [taylor]: Taking taylor expansion of f in f 1.237 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.237 * [taylor]: Taking taylor expansion of n in f 1.238 * [taylor]: Taking taylor expansion of -1 in n 1.239 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.239 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.239 * [taylor]: Taking taylor expansion of 2 in n 1.239 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.239 * [taylor]: Taking taylor expansion of n in n 1.244 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.244 * [taylor]: Taking taylor expansion of 2 in n 1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.244 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.244 * [taylor]: Taking taylor expansion of n in n 1.251 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.251 * [taylor]: Taking taylor expansion of 2 in n 1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.251 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.251 * [taylor]: Taking taylor expansion of n in n 1.257 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.257 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.257 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.257 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.257 * [taylor]: Taking taylor expansion of f in n 1.257 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.257 * [taylor]: Taking taylor expansion of n in n 1.257 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.257 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.257 * [taylor]: Taking taylor expansion of n in n 1.257 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.257 * [taylor]: Taking taylor expansion of f in n 1.258 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.258 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.258 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.258 * [taylor]: Taking taylor expansion of f in f 1.258 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.258 * [taylor]: Taking taylor expansion of n in f 1.258 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.258 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.258 * [taylor]: Taking taylor expansion of n in f 1.258 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.258 * [taylor]: Taking taylor expansion of f in f 1.260 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.260 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.260 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.260 * [taylor]: Taking taylor expansion of f in f 1.260 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.260 * [taylor]: Taking taylor expansion of n in f 1.260 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.260 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.260 * [taylor]: Taking taylor expansion of n in f 1.260 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.260 * [taylor]: Taking taylor expansion of f in f 1.261 * [taylor]: Taking taylor expansion of -1 in n 1.263 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.263 * [taylor]: Taking taylor expansion of 2 in n 1.263 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.263 * [taylor]: Taking taylor expansion of n in n 1.266 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.266 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.266 * [taylor]: Taking taylor expansion of 2 in n 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.266 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.266 * [taylor]: Taking taylor expansion of n in n 1.273 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.273 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.273 * [taylor]: Taking taylor expansion of 2 in n 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.273 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.273 * [taylor]: Taking taylor expansion of n in n 1.278 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.279 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.279 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.279 * [taylor]: Taking taylor expansion of -1 in n 1.279 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.279 * [taylor]: Taking taylor expansion of (+ n f) in n 1.279 * [taylor]: Taking taylor expansion of n in n 1.279 * [taylor]: Taking taylor expansion of f in n 1.279 * [taylor]: Taking taylor expansion of (- f n) in n 1.279 * [taylor]: Taking taylor expansion of f in n 1.279 * [taylor]: Taking taylor expansion of n in n 1.279 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.279 * [taylor]: Taking taylor expansion of -1 in f 1.279 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.279 * [taylor]: Taking taylor expansion of (+ n f) in f 1.279 * [taylor]: Taking taylor expansion of n in f 1.279 * [taylor]: Taking taylor expansion of f in f 1.279 * [taylor]: Taking taylor expansion of (- f n) in f 1.279 * [taylor]: Taking taylor expansion of f in f 1.279 * [taylor]: Taking taylor expansion of n in f 1.279 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.279 * [taylor]: Taking taylor expansion of -1 in f 1.279 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.279 * [taylor]: Taking taylor expansion of (+ n f) in f 1.279 * [taylor]: Taking taylor expansion of n in f 1.279 * [taylor]: Taking taylor expansion of f in f 1.279 * [taylor]: Taking taylor expansion of (- f n) in f 1.279 * [taylor]: Taking taylor expansion of f in f 1.279 * [taylor]: Taking taylor expansion of n in f 1.280 * [taylor]: Taking taylor expansion of 1 in n 1.281 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.281 * [taylor]: Taking taylor expansion of 2 in n 1.281 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.281 * [taylor]: Taking taylor expansion of n in n 1.283 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.283 * [taylor]: Taking taylor expansion of 2 in n 1.283 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.283 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.283 * [taylor]: Taking taylor expansion of n in n 1.288 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.288 * [taylor]: Taking taylor expansion of 2 in n 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.288 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.288 * [taylor]: Taking taylor expansion of n in n 1.296 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.296 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.297 * [taylor]: Taking taylor expansion of -1 in n 1.297 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.297 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.297 * [taylor]: Taking taylor expansion of f in n 1.297 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.297 * [taylor]: Taking taylor expansion of n in n 1.297 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.297 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.297 * [taylor]: Taking taylor expansion of f in n 1.297 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.297 * [taylor]: Taking taylor expansion of n in n 1.298 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.298 * [taylor]: Taking taylor expansion of -1 in f 1.298 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.298 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.298 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.298 * [taylor]: Taking taylor expansion of f in f 1.299 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.299 * [taylor]: Taking taylor expansion of n in f 1.299 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.299 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.299 * [taylor]: Taking taylor expansion of f in f 1.299 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.299 * [taylor]: Taking taylor expansion of n in f 1.300 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.300 * [taylor]: Taking taylor expansion of -1 in f 1.300 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.300 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.300 * [taylor]: Taking taylor expansion of f in f 1.300 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.300 * [taylor]: Taking taylor expansion of n in f 1.300 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.300 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.300 * [taylor]: Taking taylor expansion of f in f 1.300 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.300 * [taylor]: Taking taylor expansion of n in f 1.301 * [taylor]: Taking taylor expansion of -1 in n 1.303 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.303 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.303 * [taylor]: Taking taylor expansion of 2 in n 1.303 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.303 * [taylor]: Taking taylor expansion of n in n 1.307 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.307 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.307 * [taylor]: Taking taylor expansion of 2 in n 1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.307 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.307 * [taylor]: Taking taylor expansion of n in n 1.314 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.314 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.314 * [taylor]: Taking taylor expansion of 2 in n 1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.314 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.314 * [taylor]: Taking taylor expansion of n in n 1.320 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.320 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.320 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.320 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.320 * [taylor]: Taking taylor expansion of f in n 1.320 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.320 * [taylor]: Taking taylor expansion of n in n 1.320 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.320 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.320 * [taylor]: Taking taylor expansion of n in n 1.320 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.320 * [taylor]: Taking taylor expansion of f in n 1.321 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.321 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.321 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.321 * [taylor]: Taking taylor expansion of f in f 1.321 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.322 * [taylor]: Taking taylor expansion of n in f 1.322 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.322 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.322 * [taylor]: Taking taylor expansion of n in f 1.322 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.322 * [taylor]: Taking taylor expansion of f in f 1.323 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.323 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.323 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.323 * [taylor]: Taking taylor expansion of f in f 1.323 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.323 * [taylor]: Taking taylor expansion of n in f 1.323 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.323 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.323 * [taylor]: Taking taylor expansion of n in f 1.323 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.323 * [taylor]: Taking taylor expansion of f in f 1.324 * [taylor]: Taking taylor expansion of -1 in n 1.326 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.326 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.326 * [taylor]: Taking taylor expansion of 2 in n 1.326 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.326 * [taylor]: Taking taylor expansion of n in n 1.329 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.329 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.329 * [taylor]: Taking taylor expansion of 2 in n 1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.329 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.329 * [taylor]: Taking taylor expansion of n in n 1.336 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.336 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.336 * [taylor]: Taking taylor expansion of 2 in n 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.336 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.336 * [taylor]: Taking taylor expansion of n in n 1.342 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.342 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.342 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.342 * [taylor]: Taking taylor expansion of -1 in n 1.342 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.342 * [taylor]: Taking taylor expansion of (+ n f) in n 1.342 * [taylor]: Taking taylor expansion of n in n 1.342 * [taylor]: Taking taylor expansion of f in n 1.342 * [taylor]: Taking taylor expansion of (- f n) in n 1.342 * [taylor]: Taking taylor expansion of f in n 1.342 * [taylor]: Taking taylor expansion of n in n 1.342 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.342 * [taylor]: Taking taylor expansion of -1 in f 1.342 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.342 * [taylor]: Taking taylor expansion of (+ n f) in f 1.342 * [taylor]: Taking taylor expansion of n in f 1.342 * [taylor]: Taking taylor expansion of f in f 1.342 * [taylor]: Taking taylor expansion of (- f n) in f 1.342 * [taylor]: Taking taylor expansion of f in f 1.342 * [taylor]: Taking taylor expansion of n in f 1.343 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.343 * [taylor]: Taking taylor expansion of -1 in f 1.343 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.343 * [taylor]: Taking taylor expansion of (+ n f) in f 1.343 * [taylor]: Taking taylor expansion of n in f 1.343 * [taylor]: Taking taylor expansion of f in f 1.343 * [taylor]: Taking taylor expansion of (- f n) in f 1.343 * [taylor]: Taking taylor expansion of f in f 1.343 * [taylor]: Taking taylor expansion of n in f 1.343 * [taylor]: Taking taylor expansion of 1 in n 1.344 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.344 * [taylor]: Taking taylor expansion of 2 in n 1.344 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.344 * [taylor]: Taking taylor expansion of n in n 1.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.346 * [taylor]: Taking taylor expansion of 2 in n 1.346 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.346 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.346 * [taylor]: Taking taylor expansion of n in n 1.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.351 * [taylor]: Taking taylor expansion of 2 in n 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.351 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.352 * [taylor]: Taking taylor expansion of n in n 1.357 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.357 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.357 * [taylor]: Taking taylor expansion of -1 in n 1.357 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.357 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.357 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.357 * [taylor]: Taking taylor expansion of f in n 1.357 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.357 * [taylor]: Taking taylor expansion of n in n 1.357 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.357 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.357 * [taylor]: Taking taylor expansion of f in n 1.357 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.357 * [taylor]: Taking taylor expansion of n in n 1.358 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.358 * [taylor]: Taking taylor expansion of -1 in f 1.358 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.359 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.359 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.359 * [taylor]: Taking taylor expansion of f in f 1.359 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.359 * [taylor]: Taking taylor expansion of n in f 1.359 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.359 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.359 * [taylor]: Taking taylor expansion of f in f 1.359 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.359 * [taylor]: Taking taylor expansion of n in f 1.360 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.360 * [taylor]: Taking taylor expansion of -1 in f 1.360 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.360 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.360 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.360 * [taylor]: Taking taylor expansion of f in f 1.360 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.360 * [taylor]: Taking taylor expansion of n in f 1.360 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.360 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.360 * [taylor]: Taking taylor expansion of f in f 1.361 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.361 * [taylor]: Taking taylor expansion of n in f 1.362 * [taylor]: Taking taylor expansion of -1 in n 1.363 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.363 * [taylor]: Taking taylor expansion of 2 in n 1.363 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.363 * [taylor]: Taking taylor expansion of n in n 1.367 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.367 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.367 * [taylor]: Taking taylor expansion of 2 in n 1.367 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.367 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.367 * [taylor]: Taking taylor expansion of n in n 1.376 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.376 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.376 * [taylor]: Taking taylor expansion of 2 in n 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.376 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.376 * [taylor]: Taking taylor expansion of n in n 1.382 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.382 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.382 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.382 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.382 * [taylor]: Taking taylor expansion of f in n 1.382 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.382 * [taylor]: Taking taylor expansion of n in n 1.382 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.382 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.382 * [taylor]: Taking taylor expansion of n in n 1.383 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.383 * [taylor]: Taking taylor expansion of f in n 1.383 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.383 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.383 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.383 * [taylor]: Taking taylor expansion of f in f 1.384 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.384 * [taylor]: Taking taylor expansion of n in f 1.384 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.384 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.384 * [taylor]: Taking taylor expansion of n in f 1.384 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.384 * [taylor]: Taking taylor expansion of f in f 1.385 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.385 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.385 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.385 * [taylor]: Taking taylor expansion of f in f 1.385 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.385 * [taylor]: Taking taylor expansion of n in f 1.385 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.385 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.385 * [taylor]: Taking taylor expansion of n in f 1.385 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.385 * [taylor]: Taking taylor expansion of f in f 1.387 * [taylor]: Taking taylor expansion of -1 in n 1.388 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.388 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.388 * [taylor]: Taking taylor expansion of 2 in n 1.388 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.388 * [taylor]: Taking taylor expansion of n in n 1.392 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.392 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.392 * [taylor]: Taking taylor expansion of 2 in n 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.392 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.392 * [taylor]: Taking taylor expansion of n in n 1.399 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.399 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.399 * [taylor]: Taking taylor expansion of 2 in n 1.399 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.399 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.399 * [taylor]: Taking taylor expansion of n in n 1.404 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.404 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in (f n) around 0 1.404 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in n 1.405 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.405 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.405 * [taylor]: Taking taylor expansion of -1 in n 1.405 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in n 1.405 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in n 1.405 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in n 1.405 * [taylor]: Taking taylor expansion of 1/3 in n 1.406 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in n 1.406 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 1.406 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 1.406 * [taylor]: Taking taylor expansion of (+ n f) in n 1.406 * [taylor]: Taking taylor expansion of n in n 1.406 * [taylor]: Taking taylor expansion of f in n 1.406 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 1.406 * [taylor]: Taking taylor expansion of (- f n) in n 1.406 * [taylor]: Taking taylor expansion of f in n 1.406 * [taylor]: Taking taylor expansion of n in n 1.409 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in f 1.409 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 1.409 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.409 * [taylor]: Taking taylor expansion of -1 in f 1.409 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 1.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 1.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 1.409 * [taylor]: Taking taylor expansion of 1/3 in f 1.409 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 1.409 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 1.409 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 1.409 * [taylor]: Taking taylor expansion of (+ n f) in f 1.409 * [taylor]: Taking taylor expansion of n in f 1.410 * [taylor]: Taking taylor expansion of f in f 1.410 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 1.410 * [taylor]: Taking taylor expansion of (- f n) in f 1.410 * [taylor]: Taking taylor expansion of f in f 1.410 * [taylor]: Taking taylor expansion of n in f 1.412 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in f 1.412 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 1.412 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.412 * [taylor]: Taking taylor expansion of -1 in f 1.413 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 1.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 1.413 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 1.413 * [taylor]: Taking taylor expansion of 1/3 in f 1.413 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 1.413 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 1.413 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 1.413 * [taylor]: Taking taylor expansion of (+ n f) in f 1.413 * [taylor]: Taking taylor expansion of n in f 1.413 * [taylor]: Taking taylor expansion of f in f 1.413 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 1.413 * [taylor]: Taking taylor expansion of (- f n) in f 1.413 * [taylor]: Taking taylor expansion of f in f 1.413 * [taylor]: Taking taylor expansion of n in f 1.417 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.417 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.417 * [taylor]: Taking taylor expansion of -1 in n 1.421 * [taylor]: Taking taylor expansion of (* 4/3 (/ (pow (cbrt -1) 2) n)) in n 1.421 * [taylor]: Taking taylor expansion of 4/3 in n 1.421 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 1.421 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.421 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.421 * [taylor]: Taking taylor expansion of -1 in n 1.422 * [taylor]: Taking taylor expansion of n in n 1.432 * [taylor]: Taking taylor expansion of (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) in n 1.432 * [taylor]: Taking taylor expansion of 8/9 in n 1.432 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 1.432 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.432 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.432 * [taylor]: Taking taylor expansion of -1 in n 1.433 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.433 * [taylor]: Taking taylor expansion of n in n 1.451 * [taylor]: Taking taylor expansion of (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) in n 1.451 * [taylor]: Taking taylor expansion of 68/81 in n 1.451 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 3)) in n 1.451 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.451 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.451 * [taylor]: Taking taylor expansion of -1 in n 1.452 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.452 * [taylor]: Taking taylor expansion of n in n 1.466 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3)) in (f n) around 0 1.467 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3)) in n 1.467 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.467 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.467 * [taylor]: Taking taylor expansion of -1 in n 1.467 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in n 1.467 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in n 1.467 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in n 1.467 * [taylor]: Taking taylor expansion of 1/3 in n 1.467 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in n 1.467 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 1.467 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 1.467 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.467 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.467 * [taylor]: Taking taylor expansion of f in n 1.468 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.468 * [taylor]: Taking taylor expansion of n in n 1.468 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 1.468 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.468 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.468 * [taylor]: Taking taylor expansion of f in n 1.468 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.468 * [taylor]: Taking taylor expansion of n in n 1.472 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3)) in f 1.472 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 1.472 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.472 * [taylor]: Taking taylor expansion of -1 in f 1.473 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 1.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 1.473 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 1.473 * [taylor]: Taking taylor expansion of 1/3 in f 1.473 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 1.473 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 1.473 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 1.473 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.473 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.473 * [taylor]: Taking taylor expansion of f in f 1.473 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.473 * [taylor]: Taking taylor expansion of n in f 1.473 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 1.473 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.473 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.473 * [taylor]: Taking taylor expansion of f in f 1.474 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.474 * [taylor]: Taking taylor expansion of n in f 1.477 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3)) in f 1.477 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 1.477 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.477 * [taylor]: Taking taylor expansion of -1 in f 1.478 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 1.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 1.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 1.478 * [taylor]: Taking taylor expansion of 1/3 in f 1.478 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 1.478 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 1.478 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.478 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.478 * [taylor]: Taking taylor expansion of f in f 1.478 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.478 * [taylor]: Taking taylor expansion of n in f 1.478 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 1.478 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.478 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.478 * [taylor]: Taking taylor expansion of f in f 1.479 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.479 * [taylor]: Taking taylor expansion of n in f 1.484 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.484 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.484 * [taylor]: Taking taylor expansion of -1 in n 1.487 * [taylor]: Taking taylor expansion of (* 4/3 (/ (pow (cbrt -1) 2) n)) in n 1.487 * [taylor]: Taking taylor expansion of 4/3 in n 1.487 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 1.487 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.487 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.487 * [taylor]: Taking taylor expansion of -1 in n 1.488 * [taylor]: Taking taylor expansion of n in n 1.500 * [taylor]: Taking taylor expansion of (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) in n 1.500 * [taylor]: Taking taylor expansion of 8/9 in n 1.500 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 1.500 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.500 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.500 * [taylor]: Taking taylor expansion of -1 in n 1.500 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.500 * [taylor]: Taking taylor expansion of n in n 1.520 * [taylor]: Taking taylor expansion of (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) in n 1.520 * [taylor]: Taking taylor expansion of 68/81 in n 1.520 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 3)) in n 1.520 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.520 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.520 * [taylor]: Taking taylor expansion of -1 in n 1.521 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.521 * [taylor]: Taking taylor expansion of n in n 1.535 * [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 1.535 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in n 1.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in n 1.535 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in n 1.535 * [taylor]: Taking taylor expansion of 1/3 in n 1.535 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in n 1.535 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 1.535 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 1.535 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.535 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.535 * [taylor]: Taking taylor expansion of f in n 1.535 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.535 * [taylor]: Taking taylor expansion of n in n 1.535 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 1.535 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.535 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.535 * [taylor]: Taking taylor expansion of n in n 1.536 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.536 * [taylor]: Taking taylor expansion of f in n 1.539 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 1.539 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 1.539 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 1.539 * [taylor]: Taking taylor expansion of 1/3 in f 1.539 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 1.539 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 1.539 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 1.539 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.539 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.539 * [taylor]: Taking taylor expansion of f in f 1.539 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.539 * [taylor]: Taking taylor expansion of n in f 1.540 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 1.540 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.540 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.540 * [taylor]: Taking taylor expansion of n in f 1.540 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.540 * [taylor]: Taking taylor expansion of f in f 1.544 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 1.544 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 1.544 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 1.544 * [taylor]: Taking taylor expansion of 1/3 in f 1.544 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 1.544 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 1.544 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 1.544 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.544 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.544 * [taylor]: Taking taylor expansion of f in f 1.544 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.544 * [taylor]: Taking taylor expansion of n in f 1.544 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 1.544 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.545 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.545 * [taylor]: Taking taylor expansion of n in f 1.545 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.545 * [taylor]: Taking taylor expansion of f in f 1.548 * [taylor]: Taking taylor expansion of 1 in n 1.548 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 1.549 * [taylor]: Taking taylor expansion of 4/3 in n 1.549 * [taylor]: Taking taylor expansion of n in n 1.554 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 1.554 * [taylor]: Taking taylor expansion of 8/9 in n 1.554 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.554 * [taylor]: Taking taylor expansion of n in n 1.563 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 1.563 * [taylor]: Taking taylor expansion of 68/81 in n 1.563 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.563 * [taylor]: Taking taylor expansion of n in n 1.568 * * * [progress]: simplifying candidates 1.578 * [simplify]: Simplifying using # : (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)) (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 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(/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (sqrt (+ f n)) (sqrt (- f n))))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (sqrt (+ f n)) 1))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (sqrt (+ f n)) 1))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ 1 (sqrt (- f n))))) (cbrt (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ 1 (+ (sqrt f) (sqrt n))))) (cbrt (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ 1 (sqrt (- f n))))) (cbrt (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ 1 (+ (sqrt f) (sqrt n))))) (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (- (+ f n)))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- (pow f 3) (pow n 3))))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- (* f f) (* n n))))) (* (cbrt (/ (- (+ f n)) (- f n))) (* (cbrt (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (cbrt (/ (- (+ f n)) (- f n)))))) (pow (sqrt (cbrt (/ (- (+ f n)) (- f n)))) 3) (cbrt (/ (- (+ f n)) (- f n))) (pow (cbrt (cbrt (/ (- (+ f n)) (- f n)))) 4) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (sqrt (/ (- (+ f n)) (- f n))))) (* (cbrt (/ (cbrt (- (+ f n))) (cbrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (cbrt (- (+ f n))) (sqrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (cbrt (- (+ f n))) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (cbrt (- (+ f n))) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (sqrt (- (+ f n))) (cbrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (sqrt (- (+ f n))) (sqrt (- f n))))) (* (cbrt (/ (sqrt (- (+ f n))) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (sqrt (- (+ f n))) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (+ f n)) (cbrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (+ f n)) (sqrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (pow (sqrt (cbrt (/ (- (+ f n)) (- f n)))) 4) (* (cbrt (/ (- (+ f n)) (- (sqrt f) (sqrt n)))) (cbrt (/ (- (+ f n)) (- f n)))) (pow (sqrt (cbrt (/ (- (+ f n)) (- f n)))) 4) (* (cbrt (/ (+ f n) (cbrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (+ f n) (sqrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (+ f n) (- (sqrt f) (sqrt n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (cbrt (+ f n)) (cbrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (cbrt (+ f n)) (sqrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (cbrt (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (cbrt (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (sqrt (+ f n)) (cbrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (sqrt (+ f n)) (sqrt (- f n))))) (* (cbrt (/ (sqrt (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (sqrt (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (+ f n) (cbrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (+ f n) (sqrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (+ f n) (- (sqrt f) (sqrt n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (+ f n) (cbrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (+ f n) (sqrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (+ f n) (- (sqrt f) (sqrt n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (cbrt (+ f n))) (cbrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (cbrt (+ f n))) (sqrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (cbrt (+ f n))) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (cbrt (+ f n))) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (sqrt (+ f n))) (cbrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (sqrt (+ f n))) (sqrt (- f n))))) (* (cbrt (/ (- (sqrt (+ f n))) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (sqrt (+ f n))) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (+ f n)) (cbrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (+ f n)) (sqrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (pow (sqrt (cbrt (/ (- (+ f n)) (- f n)))) 4) (* (cbrt (/ (- (+ f n)) (- (sqrt f) (sqrt n)))) (cbrt (/ (- (+ f n)) (- f n)))) (pow (sqrt (cbrt (/ (- (+ f n)) (- f n)))) 4) (* (cbrt (/ (- (+ f n)) (cbrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (/ (- (+ f n)) (sqrt (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (pow (sqrt (cbrt (/ (- (+ f n)) (- f n)))) 4) (* (cbrt (/ (- (+ f n)) (- (sqrt f) (sqrt n)))) (cbrt (/ (- (+ f n)) (- f n)))) (pow (sqrt (cbrt (/ (- (+ f n)) (- f n)))) 4) (pow (sqrt (cbrt (/ (- (+ f n)) (- f n)))) 4) (* (cbrt (/ 1 (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (+ (* f f) (+ (* n n) (* f n)))) (cbrt (/ (- (+ f n)) (- f n)))) (* (cbrt (+ f n)) (cbrt (/ (- (+ f n)) (- f n)))) (pow (cbrt (cbrt (/ (- (+ f n)) (- f n)))) 4) (pow (sqrt (cbrt (/ (- (+ f n)) (- f n)))) 3) (pow (sqrt (cbrt (/ (- (+ f n)) (- f n)))) 4) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (- (+ f n)))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (- (+ f n)))) 1 -1 -1 1 -1 -1 1 -1 -1 (pow (cbrt -1) 2) (pow (cbrt -1) 2) 1 1.699 * * * [progress]: adding candidates to table 2.668 * * [progress]: iteration 4 / 4 2.668 * * * [progress]: picking best candidate 2.676 * * * * [pick]: Picked # 2.676 * * * [progress]: localizing error 2.684 * * * [progress]: generating rewritten candidates 2.684 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.710 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.718 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.722 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.733 * * * [progress]: generating series expansions 2.733 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.733 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.733 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.733 * [taylor]: Taking taylor expansion of -1 in n 2.733 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.733 * [taylor]: Taking taylor expansion of (+ n f) in n 2.733 * [taylor]: Taking taylor expansion of n in n 2.733 * [taylor]: Taking taylor expansion of f in n 2.733 * [taylor]: Taking taylor expansion of (- f n) in n 2.733 * [taylor]: Taking taylor expansion of f in n 2.733 * [taylor]: Taking taylor expansion of n in n 2.734 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.734 * [taylor]: Taking taylor expansion of -1 in f 2.734 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.734 * [taylor]: Taking taylor expansion of (+ n f) in f 2.734 * [taylor]: Taking taylor expansion of n in f 2.734 * [taylor]: Taking taylor expansion of f in f 2.734 * [taylor]: Taking taylor expansion of (- f n) in f 2.734 * [taylor]: Taking taylor expansion of f in f 2.734 * [taylor]: Taking taylor expansion of n in f 2.734 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.734 * [taylor]: Taking taylor expansion of -1 in f 2.734 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.734 * [taylor]: Taking taylor expansion of (+ n f) in f 2.734 * [taylor]: Taking taylor expansion of n in f 2.734 * [taylor]: Taking taylor expansion of f in f 2.734 * [taylor]: Taking taylor expansion of (- f n) in f 2.734 * [taylor]: Taking taylor expansion of f in f 2.734 * [taylor]: Taking taylor expansion of n in f 2.734 * [taylor]: Taking taylor expansion of 1 in n 2.736 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.736 * [taylor]: Taking taylor expansion of 2 in n 2.736 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.736 * [taylor]: Taking taylor expansion of n in n 2.738 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.738 * [taylor]: Taking taylor expansion of 2 in n 2.738 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.738 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.738 * [taylor]: Taking taylor expansion of n in n 2.743 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.743 * [taylor]: Taking taylor expansion of 2 in n 2.743 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.743 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.743 * [taylor]: Taking taylor expansion of n in n 2.753 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.753 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.753 * [taylor]: Taking taylor expansion of -1 in n 2.753 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.753 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.753 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.753 * [taylor]: Taking taylor expansion of f in n 2.753 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.753 * [taylor]: Taking taylor expansion of n in n 2.753 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.753 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.753 * [taylor]: Taking taylor expansion of f in n 2.753 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.753 * [taylor]: Taking taylor expansion of n in n 2.755 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.755 * [taylor]: Taking taylor expansion of -1 in f 2.755 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.755 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.755 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.755 * [taylor]: Taking taylor expansion of f in f 2.755 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.755 * [taylor]: Taking taylor expansion of n in f 2.755 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.755 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.755 * [taylor]: Taking taylor expansion of f in f 2.755 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.755 * [taylor]: Taking taylor expansion of n in f 2.756 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.756 * [taylor]: Taking taylor expansion of -1 in f 2.756 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.756 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.756 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.756 * [taylor]: Taking taylor expansion of f in f 2.756 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.756 * [taylor]: Taking taylor expansion of n in f 2.756 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.756 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.756 * [taylor]: Taking taylor expansion of f in f 2.757 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.757 * [taylor]: Taking taylor expansion of n in f 2.758 * [taylor]: Taking taylor expansion of -1 in n 2.759 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.759 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.759 * [taylor]: Taking taylor expansion of 2 in n 2.759 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.759 * [taylor]: Taking taylor expansion of n in n 2.763 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.764 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.764 * [taylor]: Taking taylor expansion of 2 in n 2.764 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.764 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.764 * [taylor]: Taking taylor expansion of n in n 2.771 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.771 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.771 * [taylor]: Taking taylor expansion of 2 in n 2.771 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.771 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.771 * [taylor]: Taking taylor expansion of n in n 2.777 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 2.777 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in n 2.777 * [taylor]: Taking taylor expansion of -1 in n 2.777 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in n 2.777 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in n 2.777 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 2.777 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 2.777 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.777 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.777 * [taylor]: Taking taylor expansion of f in n 2.777 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.777 * [taylor]: Taking taylor expansion of n in n 2.780 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.780 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.780 * [taylor]: Taking taylor expansion of n in n 2.780 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.780 * [taylor]: Taking taylor expansion of f in n 2.781 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in f 2.781 * [taylor]: Taking taylor expansion of -1 in f 2.781 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in f 2.781 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 2.781 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 2.781 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 2.781 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.781 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.781 * [taylor]: Taking taylor expansion of f in f 2.781 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.781 * [taylor]: Taking taylor expansion of n in f 2.783 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.783 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.783 * [taylor]: Taking taylor expansion of n in f 2.783 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.783 * [taylor]: Taking taylor expansion of f in f 2.784 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in f 2.784 * [taylor]: Taking taylor expansion of -1 in f 2.784 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in f 2.784 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 2.784 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 2.784 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 2.784 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.784 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.784 * [taylor]: Taking taylor expansion of f in f 2.784 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.784 * [taylor]: Taking taylor expansion of n in f 2.786 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.786 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.786 * [taylor]: Taking taylor expansion of n in f 2.786 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.786 * [taylor]: Taking taylor expansion of f in f 2.788 * [taylor]: Taking taylor expansion of +nan.0 in n 2.791 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 2.791 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 2.791 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 2.792 * [taylor]: Taking taylor expansion of +nan.0 in n 2.792 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.792 * [taylor]: Taking taylor expansion of n in n 2.792 * [taylor]: Taking taylor expansion of (- +nan.0) in n 2.792 * [taylor]: Taking taylor expansion of +nan.0 in n 2.800 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 2.800 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 2.800 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 2.800 * [taylor]: Taking taylor expansion of +nan.0 in n 2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.800 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.800 * [taylor]: Taking taylor expansion of n in n 2.801 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 2.801 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 2.801 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 2.801 * [taylor]: Taking taylor expansion of +nan.0 in n 2.801 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.801 * [taylor]: Taking taylor expansion of n in n 2.801 * [taylor]: Taking taylor expansion of (- +nan.0) in n 2.801 * [taylor]: Taking taylor expansion of +nan.0 in n 2.809 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.809 * [approximate]: Taking taylor expansion of (* (sqrt (+ n f)) (/ 1 (- f n))) in (f n) around 0 2.809 * [taylor]: Taking taylor expansion of (* (sqrt (+ n f)) (/ 1 (- f n))) in n 2.809 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in n 2.809 * [taylor]: Taking taylor expansion of (+ n f) in n 2.809 * [taylor]: Taking taylor expansion of n in n 2.809 * [taylor]: Taking taylor expansion of f in n 2.809 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 2.809 * [taylor]: Taking taylor expansion of (- f n) in n 2.809 * [taylor]: Taking taylor expansion of f in n 2.809 * [taylor]: Taking taylor expansion of n in n 2.810 * [taylor]: Taking taylor expansion of (* (sqrt (+ n f)) (/ 1 (- f n))) in f 2.810 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 2.810 * [taylor]: Taking taylor expansion of (+ n f) in f 2.810 * [taylor]: Taking taylor expansion of n in f 2.810 * [taylor]: Taking taylor expansion of f in f 2.810 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 2.810 * [taylor]: Taking taylor expansion of (- f n) in f 2.810 * [taylor]: Taking taylor expansion of f in f 2.810 * [taylor]: Taking taylor expansion of n in f 2.810 * [taylor]: Taking taylor expansion of (* (sqrt (+ n f)) (/ 1 (- f n))) in f 2.810 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 2.810 * [taylor]: Taking taylor expansion of (+ n f) in f 2.810 * [taylor]: Taking taylor expansion of n in f 2.810 * [taylor]: Taking taylor expansion of f in f 2.811 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 2.811 * [taylor]: Taking taylor expansion of (- f n) in f 2.811 * [taylor]: Taking taylor expansion of f in f 2.811 * [taylor]: Taking taylor expansion of n in f 2.811 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 n))) in n 2.811 * [taylor]: Taking taylor expansion of -1 in n 2.811 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.811 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.811 * [taylor]: Taking taylor expansion of n in n 2.814 * [taylor]: Taking taylor expansion of (- (* 3/2 (sqrt (/ 1 (pow n 3))))) in n 2.814 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt (/ 1 (pow n 3)))) in n 2.814 * [taylor]: Taking taylor expansion of 3/2 in n 2.814 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow n 3))) in n 2.814 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.814 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.814 * [taylor]: Taking taylor expansion of n in n 2.825 * [approximate]: Taking taylor expansion of (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 2.826 * [taylor]: Taking taylor expansion of (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) in n 2.826 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 2.826 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.826 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.826 * [taylor]: Taking taylor expansion of f in n 2.826 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.826 * [taylor]: Taking taylor expansion of n in n 2.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 2.827 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.827 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.827 * [taylor]: Taking taylor expansion of f in n 2.827 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.827 * [taylor]: Taking taylor expansion of n in n 2.828 * [taylor]: Taking taylor expansion of (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) in f 2.828 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 2.828 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.828 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.828 * [taylor]: Taking taylor expansion of f in f 2.828 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.829 * [taylor]: Taking taylor expansion of n in f 2.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 2.829 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.829 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.829 * [taylor]: Taking taylor expansion of f in f 2.829 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.829 * [taylor]: Taking taylor expansion of n in f 2.831 * [taylor]: Taking taylor expansion of (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) in f 2.831 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 2.831 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.831 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.831 * [taylor]: Taking taylor expansion of f in f 2.831 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.831 * [taylor]: Taking taylor expansion of n in f 2.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 2.832 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.832 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.832 * [taylor]: Taking taylor expansion of f in f 2.832 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.832 * [taylor]: Taking taylor expansion of n in f 2.839 * [taylor]: Taking taylor expansion of 0 in n 2.839 * [taylor]: Taking taylor expansion of (- +nan.0) in n 2.840 * [taylor]: Taking taylor expansion of +nan.0 in n 2.843 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 2.843 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 2.843 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 2.843 * [taylor]: Taking taylor expansion of +nan.0 in n 2.843 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.843 * [taylor]: Taking taylor expansion of n in n 2.843 * [taylor]: Taking taylor expansion of (- +nan.0) in n 2.843 * [taylor]: Taking taylor expansion of +nan.0 in n 2.849 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 2.849 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 2.849 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 2.849 * [taylor]: Taking taylor expansion of +nan.0 in n 2.849 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.849 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.849 * [taylor]: Taking taylor expansion of n in n 2.850 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 2.850 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 2.850 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 2.850 * [taylor]: Taking taylor expansion of +nan.0 in n 2.850 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.850 * [taylor]: Taking taylor expansion of n in n 2.850 * [taylor]: Taking taylor expansion of (- +nan.0) in n 2.850 * [taylor]: Taking taylor expansion of +nan.0 in n 2.856 * [approximate]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.857 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in n 2.857 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 2.857 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 2.857 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.857 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.857 * [taylor]: Taking taylor expansion of f in n 2.857 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.857 * [taylor]: Taking taylor expansion of n in n 2.859 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.859 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.859 * [taylor]: Taking taylor expansion of n in n 2.859 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.859 * [taylor]: Taking taylor expansion of f in n 2.859 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 2.859 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 2.859 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 2.859 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.859 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.859 * [taylor]: Taking taylor expansion of f in f 2.860 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.860 * [taylor]: Taking taylor expansion of n in f 2.862 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.862 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.862 * [taylor]: Taking taylor expansion of n in f 2.862 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.862 * [taylor]: Taking taylor expansion of f in f 2.863 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 2.863 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 2.863 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 2.863 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.863 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.863 * [taylor]: Taking taylor expansion of f in f 2.863 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.863 * [taylor]: Taking taylor expansion of n in f 2.865 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.865 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.865 * [taylor]: Taking taylor expansion of n in f 2.865 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.865 * [taylor]: Taking taylor expansion of f in f 2.866 * [taylor]: Taking taylor expansion of +nan.0 in n 2.868 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 2.868 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 2.868 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 2.868 * [taylor]: Taking taylor expansion of +nan.0 in n 2.868 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.868 * [taylor]: Taking taylor expansion of n in n 2.868 * [taylor]: Taking taylor expansion of (- +nan.0) in n 2.869 * [taylor]: Taking taylor expansion of +nan.0 in n 2.874 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 2.874 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 2.874 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 2.874 * [taylor]: Taking taylor expansion of +nan.0 in n 2.874 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.874 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.874 * [taylor]: Taking taylor expansion of n in n 2.875 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 2.875 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 2.875 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 2.875 * [taylor]: Taking taylor expansion of +nan.0 in n 2.875 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.875 * [taylor]: Taking taylor expansion of n in n 2.875 * [taylor]: Taking taylor expansion of (- +nan.0) in n 2.875 * [taylor]: Taking taylor expansion of +nan.0 in n 2.882 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.882 * [approximate]: Taking taylor expansion of (sqrt (+ n f)) in (f n) around 0 2.882 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in n 2.882 * [taylor]: Taking taylor expansion of (+ n f) in n 2.882 * [taylor]: Taking taylor expansion of n in n 2.882 * [taylor]: Taking taylor expansion of f in n 2.883 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 2.883 * [taylor]: Taking taylor expansion of (+ n f) in f 2.883 * [taylor]: Taking taylor expansion of n in f 2.883 * [taylor]: Taking taylor expansion of f in f 2.883 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 2.883 * [taylor]: Taking taylor expansion of (+ n f) in f 2.883 * [taylor]: Taking taylor expansion of n in f 2.883 * [taylor]: Taking taylor expansion of f in f 2.883 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.883 * [taylor]: Taking taylor expansion of n in n 2.884 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 n))) in n 2.885 * [taylor]: Taking taylor expansion of 1/2 in n 2.885 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.885 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.885 * [taylor]: Taking taylor expansion of n in n 2.887 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow n 3)))) in n 2.887 * [taylor]: Taking taylor expansion of -1/8 in n 2.887 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow n 3))) in n 2.887 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.887 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.888 * [taylor]: Taking taylor expansion of n in n 2.894 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 2.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 2.894 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.894 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.894 * [taylor]: Taking taylor expansion of f in n 2.894 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.894 * [taylor]: Taking taylor expansion of n in n 2.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 2.896 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.896 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.896 * [taylor]: Taking taylor expansion of f in f 2.896 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.896 * [taylor]: Taking taylor expansion of n in f 2.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 2.897 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.897 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.897 * [taylor]: Taking taylor expansion of f in f 2.897 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.897 * [taylor]: Taking taylor expansion of n in f 2.899 * [taylor]: Taking taylor expansion of 0 in n 2.899 * [taylor]: Taking taylor expansion of +nan.0 in n 2.900 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 n) +nan.0)) in n 2.900 * [taylor]: Taking taylor expansion of +nan.0 in n 2.900 * [taylor]: Taking taylor expansion of (- (/ 1 n) +nan.0) in n 2.900 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.900 * [taylor]: Taking taylor expansion of n in n 2.900 * [taylor]: Taking taylor expansion of +nan.0 in n 2.902 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 2.902 * [taylor]: Taking taylor expansion of +nan.0 in n 2.902 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 2.902 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 2.902 * [taylor]: Taking taylor expansion of +nan.0 in n 2.902 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.902 * [taylor]: Taking taylor expansion of n in n 2.902 * [taylor]: Taking taylor expansion of (- +nan.0) in n 2.902 * [taylor]: Taking taylor expansion of +nan.0 in n 2.904 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 2.904 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 2.904 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 2.904 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.904 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.904 * [taylor]: Taking taylor expansion of f in n 2.904 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.904 * [taylor]: Taking taylor expansion of n in n 2.906 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 2.906 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 2.906 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.906 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.906 * [taylor]: Taking taylor expansion of f in f 2.906 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.906 * [taylor]: Taking taylor expansion of n in f 2.908 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 2.908 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 2.908 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.908 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.908 * [taylor]: Taking taylor expansion of f in f 2.908 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.908 * [taylor]: Taking taylor expansion of n in f 2.910 * [taylor]: Taking taylor expansion of 0 in n 2.910 * [taylor]: Taking taylor expansion of +nan.0 in n 2.911 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 n) (- +nan.0))) in n 2.911 * [taylor]: Taking taylor expansion of +nan.0 in n 2.911 * [taylor]: Taking taylor expansion of (+ (/ 1 n) (- +nan.0)) in n 2.911 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.911 * [taylor]: Taking taylor expansion of n in n 2.912 * [taylor]: Taking taylor expansion of (- +nan.0) in n 2.912 * [taylor]: Taking taylor expansion of +nan.0 in n 2.914 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 2.914 * [taylor]: Taking taylor expansion of +nan.0 in n 2.914 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 2.914 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 2.914 * [taylor]: Taking taylor expansion of +nan.0 in n 2.914 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.914 * [taylor]: Taking taylor expansion of n in n 2.914 * [taylor]: Taking taylor expansion of (- +nan.0) in n 2.914 * [taylor]: Taking taylor expansion of +nan.0 in n 2.916 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.916 * [approximate]: Taking taylor expansion of (sqrt (+ n f)) in (f n) around 0 2.916 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in n 2.916 * [taylor]: Taking taylor expansion of (+ n f) in n 2.916 * [taylor]: Taking taylor expansion of n in n 2.916 * [taylor]: Taking taylor expansion of f in n 2.916 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 2.916 * [taylor]: Taking taylor expansion of (+ n f) in f 2.916 * [taylor]: Taking taylor expansion of n in f 2.916 * [taylor]: Taking taylor expansion of f in f 2.916 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 2.917 * [taylor]: Taking taylor expansion of (+ n f) in f 2.917 * [taylor]: Taking taylor expansion of n in f 2.917 * [taylor]: Taking taylor expansion of f in f 2.917 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.917 * [taylor]: Taking taylor expansion of n in n 2.918 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 n))) in n 2.918 * [taylor]: Taking taylor expansion of 1/2 in n 2.918 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.918 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.918 * [taylor]: Taking taylor expansion of n in n 2.926 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow n 3)))) in n 2.926 * [taylor]: Taking taylor expansion of -1/8 in n 2.926 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow n 3))) in n 2.926 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.926 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.926 * [taylor]: Taking taylor expansion of n in n 2.932 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 2.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 2.932 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.932 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.932 * [taylor]: Taking taylor expansion of f in n 2.932 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.932 * [taylor]: Taking taylor expansion of n in n 2.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 2.934 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.934 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.934 * [taylor]: Taking taylor expansion of f in f 2.934 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.934 * [taylor]: Taking taylor expansion of n in f 2.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 2.935 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.935 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.935 * [taylor]: Taking taylor expansion of f in f 2.936 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.936 * [taylor]: Taking taylor expansion of n in f 2.937 * [taylor]: Taking taylor expansion of 0 in n 2.937 * [taylor]: Taking taylor expansion of +nan.0 in n 2.939 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 n) +nan.0)) in n 2.939 * [taylor]: Taking taylor expansion of +nan.0 in n 2.939 * [taylor]: Taking taylor expansion of (- (/ 1 n) +nan.0) in n 2.939 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.939 * [taylor]: Taking taylor expansion of n in n 2.939 * [taylor]: Taking taylor expansion of +nan.0 in n 2.941 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 2.941 * [taylor]: Taking taylor expansion of +nan.0 in n 2.941 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 2.941 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 2.941 * [taylor]: Taking taylor expansion of +nan.0 in n 2.941 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.941 * [taylor]: Taking taylor expansion of n in n 2.941 * [taylor]: Taking taylor expansion of (- +nan.0) in n 2.941 * [taylor]: Taking taylor expansion of +nan.0 in n 2.942 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 2.942 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 2.942 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 2.942 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.942 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.942 * [taylor]: Taking taylor expansion of f in n 2.942 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.942 * [taylor]: Taking taylor expansion of n in n 2.944 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 2.944 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 2.944 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.944 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.944 * [taylor]: Taking taylor expansion of f in f 2.945 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.945 * [taylor]: Taking taylor expansion of n in f 2.946 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 2.946 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 2.946 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.946 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.946 * [taylor]: Taking taylor expansion of f in f 2.947 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.947 * [taylor]: Taking taylor expansion of n in f 2.948 * [taylor]: Taking taylor expansion of 0 in n 2.948 * [taylor]: Taking taylor expansion of +nan.0 in n 2.950 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 n) (- +nan.0))) in n 2.950 * [taylor]: Taking taylor expansion of +nan.0 in n 2.950 * [taylor]: Taking taylor expansion of (+ (/ 1 n) (- +nan.0)) in n 2.950 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.950 * [taylor]: Taking taylor expansion of n in n 2.950 * [taylor]: Taking taylor expansion of (- +nan.0) in n 2.950 * [taylor]: Taking taylor expansion of +nan.0 in n 2.952 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 2.952 * [taylor]: Taking taylor expansion of +nan.0 in n 2.952 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 2.952 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 2.952 * [taylor]: Taking taylor expansion of +nan.0 in n 2.952 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.952 * [taylor]: Taking taylor expansion of n in n 2.952 * [taylor]: Taking taylor expansion of (- +nan.0) in n 2.952 * [taylor]: Taking taylor expansion of +nan.0 in n 2.954 * * * [progress]: simplifying candidates 2.956 * [simplify]: Simplifying using # : (expm1 (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (log1p (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n))) (+ (log (- (sqrt (+ f n)))) (- (log (sqrt (+ f n))) (log (- f n)))) (+ (log (- (sqrt (+ f n)))) (log (/ (sqrt (+ f n)) (- f n)))) (log (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (exp (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (* (* (* (- (sqrt (+ f n))) (- (sqrt (+ f n)))) (- (sqrt (+ f n)))) (/ (* (* (sqrt (+ f n)) (sqrt (+ f n))) (sqrt (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (* (* (- (sqrt (+ f n))) (- (sqrt (+ f n)))) (- (sqrt (+ f n)))) (* (* (/ (sqrt (+ f n)) (- f n)) (/ (sqrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (- f n)))) (* (cbrt (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (cbrt (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n))))) (cbrt (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (* (* (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n))) (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (sqrt (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (sqrt (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (* (- (sqrt (+ (pow f 3) (pow n 3)))) (sqrt (+ f n))) (* (sqrt (+ (* f f) (- (* n n) (* f n)))) (- f n)) (* (- (sqrt (- (* f f) (* n n)))) (sqrt (+ f n))) (* (sqrt (- f n)) (- f n)) (* (sqrt (- (sqrt (+ f n)))) (sqrt (/ (sqrt (+ f n)) (- f n)))) (* (sqrt (- (sqrt (+ f n)))) (sqrt (/ (sqrt (+ f n)) (- f n)))) (* (sqrt (- (sqrt (+ f n)))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (- (sqrt (+ f n)))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (- (sqrt (+ f n)))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (- (sqrt (+ f n)))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (+ f n)) (/ (sqrt (+ f n)) (- f n))) (* (- (sqrt (+ f n))) (* (cbrt (/ (sqrt (+ f n)) (- f n))) (cbrt (/ (sqrt (+ f n)) (- f n))))) (* (- (sqrt (+ f n))) (sqrt (/ (sqrt (+ f n)) (- f n)))) (* (- (sqrt (+ f n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (sqrt (+ f n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (sqrt (- f n)))) (* (- (sqrt (+ f n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) 1)) (* (- (sqrt (+ f n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (+ (sqrt f) (sqrt n)))) (* (- (sqrt (+ f n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) 1)) (* (- (sqrt (+ f n))) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (sqrt (+ f n))) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n)))) (* (- (sqrt (+ f n))) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)) (* (- (sqrt (+ f n))) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n)))) (* (- (sqrt (+ f n))) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)) (* (- (sqrt (+ f n))) (/ (sqrt (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (sqrt (+ f n))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (- (sqrt (+ f n))) (/ (sqrt (sqrt (+ f n))) 1)) (* (- (sqrt (+ f n))) (/ (sqrt (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (* (- (sqrt (+ f n))) (/ (sqrt (sqrt (+ f n))) 1)) (* (- (sqrt (+ f n))) (/ (sqrt 1) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (sqrt (+ f n))) (/ (sqrt 1) (sqrt (- f n)))) (* (- (sqrt (+ f n))) (/ (sqrt 1) 1)) (* (- (sqrt (+ f n))) (/ (sqrt 1) (+ (sqrt f) (sqrt n)))) (* (- (sqrt (+ f n))) (/ (sqrt 1) 1)) (* (- (sqrt (+ f n))) (/ (sqrt 1) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (sqrt (+ f n))) (/ (sqrt 1) (sqrt (- f n)))) (* (- (sqrt (+ f n))) (/ (sqrt 1) 1)) (* (- (sqrt (+ f n))) (/ (sqrt 1) (+ (sqrt f) (sqrt n)))) (* (- (sqrt (+ f n))) (/ (sqrt 1) 1)) (* (- (sqrt (+ f n))) (/ (sqrt (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (sqrt (+ f n))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (- (sqrt (+ f n))) (/ (sqrt (sqrt (+ f n))) 1)) (* (- (sqrt (+ f n))) (/ (sqrt (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (* (- (sqrt (+ f n))) (/ (sqrt (sqrt (+ f n))) 1)) (* (- (sqrt (+ f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (sqrt (+ f n))) (/ 1 (sqrt (- f n)))) (* (- (sqrt (+ f n))) (/ 1 1)) (* (- (sqrt (+ f n))) (/ 1 (+ (sqrt f) (sqrt n)))) (* (- (sqrt (+ f n))) (/ 1 1)) (* (- (sqrt (+ f n))) 1) (* (- (sqrt (+ f n))) (sqrt (+ f n))) (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- (pow f 3) (pow n 3)))) (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- (* f f) (* n n)))) (* (cbrt (- (sqrt (+ f n)))) (/ (sqrt (+ f n)) (- f n))) (* (sqrt (- (sqrt (+ f n)))) (/ (sqrt (+ f n)) (- f n))) (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n))) (* (sqrt (+ f n)) (/ (sqrt (+ f n)) (- f n))) (* (cbrt (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n))) (* (sqrt (cbrt (+ f n))) (/ (sqrt (+ f n)) (- f n))) (* (sqrt (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n))) (* (sqrt (+ f n)) (/ (sqrt (+ f n)) (- f n))) (* (sqrt (+ f n)) (/ (sqrt (+ f n)) (- f n))) (* (sqrt (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n))) (* (sqrt (+ f n)) (/ (sqrt (+ f n)) (- f n))) (* (- (cbrt (sqrt (+ f n)))) (/ (sqrt (+ f n)) (- f n))) (* (- (sqrt (cbrt (+ f n)))) (/ (sqrt (+ f n)) (- f n))) (* (- (sqrt (sqrt (+ f n)))) (/ (sqrt (+ f n)) (- f n))) (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n))) (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n))) (* (- (sqrt (sqrt (+ f n)))) (/ (sqrt (+ f n)) (- f n))) (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n))) (* (- (sqrt (+ f n))) (sqrt (+ f n))) (* (- (sqrt (+ (pow f 3) (pow n 3)))) (/ (sqrt (+ f n)) (- f n))) (* (- (sqrt (- (* f f) (* n n)))) (/ (sqrt (+ f n)) (- f n))) (expm1 (/ (sqrt (+ f n)) (- f n))) (log1p (/ (sqrt (+ f n)) (- f n))) (- (log (sqrt (+ f n))) (log (- f n))) (log (/ (sqrt (+ f n)) (- f n))) (exp (/ (sqrt (+ f n)) (- f n))) (/ (* (* (sqrt (+ f n)) (sqrt (+ f n))) (sqrt (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (sqrt (+ f n)) (- f n))) (cbrt (/ (sqrt (+ f n)) (- f n)))) (cbrt (/ (sqrt (+ f n)) (- f n))) (* (* (/ (sqrt (+ f n)) (- f n)) (/ (sqrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (- f n))) (sqrt (/ (sqrt (+ f n)) (- f n))) (sqrt (/ (sqrt (+ f n)) (- f n))) (- (sqrt (+ f n))) (- (- f n)) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (sqrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (sqrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) 1) (/ (cbrt (sqrt (+ f n))) (- f n)) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) 1) (/ (cbrt (sqrt (+ f n))) (- f n)) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (cbrt (+ f n))) (cbrt (- f n))) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (sqrt (cbrt (+ f n))) (sqrt (- f n))) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (sqrt (cbrt (+ f n))) (- f n)) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (sqrt (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (sqrt (cbrt (+ f n))) (- f n)) (/ (sqrt (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (sqrt (+ f n))) 1) (/ (sqrt (sqrt (+ f n))) (- f n)) (/ (sqrt (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (sqrt (+ f n))) 1) (/ (sqrt (sqrt (+ f n))) (- f n)) (/ (sqrt 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (sqrt 1) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt 1) 1) (/ (sqrt (+ f n)) (- f n)) (/ (sqrt 1) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (sqrt 1) 1) (/ (sqrt (+ f n)) (- f n)) (/ (sqrt 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (sqrt 1) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt 1) 1) (/ (sqrt (+ f n)) (- f n)) (/ (sqrt 1) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (sqrt 1) 1) (/ (sqrt (+ f n)) (- f n)) (/ (sqrt (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (sqrt (+ f n))) 1) (/ (sqrt (sqrt (+ f n))) (- f n)) (/ (sqrt (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (sqrt (+ f n))) 1) (/ (sqrt (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (sqrt (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (sqrt (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (sqrt (+ f n))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- f n) (cbrt (sqrt (+ f n)))) (/ (- f n) (sqrt (cbrt (+ f n)))) (/ (- f n) (sqrt (sqrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (sqrt (sqrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (sqrt (+ f n)) (- (pow f 3) (pow n 3))) (/ (sqrt (+ f n)) (- (* f f) (* n n))) (* (- f n) (sqrt (+ (* f f) (- (* n n) (* f n))))) (* (- f n) (sqrt (- f n))) (expm1 (sqrt (+ f n))) (log1p (sqrt (+ f n))) (log (sqrt (+ f n))) (exp (sqrt (+ f n))) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (cbrt (sqrt (+ f n))) (* (* (sqrt (+ f n)) (sqrt (+ f n))) (sqrt (+ f n))) (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (cbrt (+ f n))) (sqrt (sqrt (+ f n))) (sqrt (sqrt (+ f n))) (sqrt 1) (sqrt (+ f n)) (sqrt 1) (sqrt (+ f n)) (sqrt (+ (pow f 3) (pow n 3))) (sqrt (+ (* f f) (- (* n n) (* f n)))) (sqrt (- (* f f) (* n n))) (sqrt (- f n)) (/ 1 2) (sqrt (sqrt (+ f n))) (sqrt (sqrt (+ f n))) (expm1 (sqrt (+ f n))) (log1p (sqrt (+ f n))) (log (sqrt (+ f n))) (exp (sqrt (+ f n))) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (cbrt (sqrt (+ f n))) (* (* (sqrt (+ f n)) (sqrt (+ f n))) (sqrt (+ f n))) (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (cbrt (+ f n))) (sqrt (sqrt (+ f n))) (sqrt (sqrt (+ f n))) (sqrt 1) (sqrt (+ f n)) (sqrt 1) (sqrt (+ f n)) (sqrt (+ (pow f 3) (pow n 3))) (sqrt (+ (* f f) (- (* n n) (* f n)))) (sqrt (- (* f f) (* n n))) (sqrt (- f n)) (/ 1 2) (sqrt (sqrt (+ f n))) (sqrt (sqrt (+ f n))) 1 -1 0 (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 3))) (- (* +nan.0 (/ 1 (pow f 2)))))))) 0 (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) (- (+ +nan.0 (- (+ (* +nan.0 (/ n f)) (- (* +nan.0 (/ n (pow f 2)))))))) (- (+ +nan.0 (- (+ (* +nan.0 (/ n f)) (- (* +nan.0 (/ n (pow f 2)))))))) (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) (- (+ +nan.0 (- (+ (* +nan.0 (/ n f)) (- (* +nan.0 (/ n (pow f 2)))))))) (- (+ +nan.0 (- (+ (* +nan.0 (/ n f)) (- (* +nan.0 (/ n (pow f 2)))))))) 2.965 * * [simplify]: iteration 0 : 545 enodes (cost 1498 ) 2.975 * * [simplify]: iteration 1 : 2425 enodes (cost 1396 ) 3.012 * * [simplify]: iteration 2 : 5002 enodes (cost 1354 ) 3.019 * [simplify]: Simplified to: (expm1 (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (log1p (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (/ (- (+ f n)) (- f n)) (- (log (- (+ f n))) (log (- f n))) (- (log (- (+ f n))) (log (- f n))) (- (log (- (+ f n))) (log (- f n))) (/ 1 (exp (/ (+ f n) (- f n)))) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (cbrt (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n))))) (cbrt (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (sqrt (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (* (hypot (pow n 3/2) (pow f 3/2)) (- (sqrt (+ f n)))) (* (sqrt (+ (* f f) (- (* n n) (* f n)))) (- f n)) (* (- (sqrt (- (* f f) (* n n)))) (sqrt (+ f n))) (* (sqrt (- f n)) (- f n)) (* (sqrt (- (sqrt (+ f n)))) (sqrt (/ (sqrt (+ f n)) (- f n)))) (* (sqrt (- (sqrt (+ f n)))) (sqrt (/ (sqrt (+ f n)) (- f n)))) (* (sqrt (- (sqrt (+ f n)))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (- (sqrt (+ f n)))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (- (sqrt (+ f n)))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (- (sqrt (+ f n)))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (/ (+ f n) (- f n)) (* (- (sqrt (+ f n))) (* (cbrt (/ (sqrt (+ f n)) (- f n))) (cbrt (/ (sqrt (+ f n)) (- f n))))) (* (- (sqrt (+ f n))) (sqrt (/ (sqrt (+ f n)) (- f n)))) (* (- (sqrt (+ f n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (sqrt (+ f n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (sqrt (- f n)))) (- (* (sqrt (+ f n)) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))))) (* (- (sqrt (+ f n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (+ (sqrt f) (sqrt n)))) (- (* (sqrt (+ f n)) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))))) (/ (* (- (sqrt (+ f n))) (fabs (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (- (sqrt (+ f n))) (fabs 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2))) (- +nan.0)) (fma (- (pow f 2)) +nan.0 (* +nan.0 (- n f))) (fma +nan.0 (- (/ n f) (/ n (pow f 2))) (- +nan.0)) (fma +nan.0 (- (/ n f) (/ n (pow f 2))) (- +nan.0)) 3.020 * * * [progress]: adding candidates to table 3.338 * [progress]: [Phase 3 of 3] Extracting. 3.339 * * [regime]: Finding splitpoints for: (# # # #) 3.340 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 3.340 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # #) 3.355 * * * * [regimes]: Trying to branch on n from (# # # #) 3.370 * * * * [regimes]: Trying to branch on f from (# # # #) 3.389 * * * [regime]: Found split indices: #