0.854 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [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)) 0.268 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.270 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.271 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.273 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.274 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.275 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.277 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.277 * [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 0.288 * * * [progress]: generating rewritten candidates 0.289 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.305 * * * [progress]: generating series expansions 0.306 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.310 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.311 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.311 * [taylor]: Taking taylor expansion of -1 in n 0.311 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.311 * [taylor]: Taking taylor expansion of (+ n f) in n 0.311 * [taylor]: Taking taylor expansion of n in n 0.311 * [taylor]: Taking taylor expansion of f in n 0.311 * [taylor]: Taking taylor expansion of (- f n) in n 0.311 * [taylor]: Taking taylor expansion of f in n 0.311 * [taylor]: Taking taylor expansion of n in n 0.312 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.312 * [taylor]: Taking taylor expansion of -1 in f 0.312 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.312 * [taylor]: Taking taylor expansion of (+ n f) in f 0.312 * [taylor]: Taking taylor expansion of n in f 0.312 * [taylor]: Taking taylor expansion of f in f 0.312 * [taylor]: Taking taylor expansion of (- f n) in f 0.312 * [taylor]: Taking taylor expansion of f in f 0.312 * [taylor]: Taking taylor expansion of n in f 0.312 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.312 * [taylor]: Taking taylor expansion of -1 in f 0.312 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.312 * [taylor]: Taking taylor expansion of (+ n f) in f 0.312 * [taylor]: Taking taylor expansion of n in f 0.312 * [taylor]: Taking taylor expansion of f in f 0.312 * [taylor]: Taking taylor expansion of (- f n) in f 0.312 * [taylor]: Taking taylor expansion of f in f 0.312 * [taylor]: Taking taylor expansion of n in f 0.313 * [taylor]: Taking taylor expansion of 1 in n 0.315 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.315 * [taylor]: Taking taylor expansion of 2 in n 0.315 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.315 * [taylor]: Taking taylor expansion of n in n 0.318 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.318 * [taylor]: Taking taylor expansion of 2 in n 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.318 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.318 * [taylor]: Taking taylor expansion of n in n 0.324 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.324 * [taylor]: Taking taylor expansion of 2 in n 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.324 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.324 * [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 0.331 * [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 0.333 * [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 0.333 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.333 * [taylor]: Taking taylor expansion of n in f 0.334 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.334 * [taylor]: Taking taylor expansion of -1 in f 0.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.334 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.334 * [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 0.342 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.342 * [taylor]: Taking taylor expansion of n in n 0.363 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.364 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.364 * [taylor]: Taking taylor expansion of 2 in n 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.364 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.364 * [taylor]: Taking taylor expansion of n in n 0.369 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.369 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.369 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.369 * [taylor]: Taking taylor expansion of f in n 0.369 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.369 * [taylor]: Taking taylor expansion of n in n 0.370 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.370 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.370 * [taylor]: Taking taylor expansion of n in n 0.370 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.370 * [taylor]: Taking taylor expansion of f in n 0.371 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.371 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.371 * [taylor]: Taking taylor expansion of f in f 0.371 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.371 * [taylor]: Taking taylor expansion of n in f 0.371 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.371 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.371 * [taylor]: Taking taylor expansion of n in f 0.371 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.371 * [taylor]: Taking taylor expansion of f in f 0.373 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.373 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.373 * [taylor]: Taking taylor expansion of f in f 0.373 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.373 * [taylor]: Taking taylor expansion of n in f 0.373 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.373 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.373 * [taylor]: Taking taylor expansion of n in f 0.373 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.373 * [taylor]: Taking taylor expansion of f in f 0.374 * [taylor]: Taking taylor expansion of -1 in n 0.376 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.376 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.376 * [taylor]: Taking taylor expansion of 2 in n 0.376 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.376 * [taylor]: Taking taylor expansion of n in n 0.380 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.380 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.380 * [taylor]: Taking taylor expansion of 2 in n 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.380 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.380 * [taylor]: Taking taylor expansion of n in n 0.387 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.387 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.387 * [taylor]: Taking taylor expansion of 2 in n 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.387 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.387 * [taylor]: Taking taylor expansion of n in n 0.393 * * * [progress]: simplifying candidates 0.395 * [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 0.400 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.405 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.418 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 0.458 * * [simplify]: iteration 3 : 5001 enodes (cost 743 ) 0.462 * [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 0.463 * * * [progress]: adding candidates to table 0.597 * * [progress]: iteration 2 / 4 0.597 * * * [progress]: picking best candidate 0.603 * * * * [pick]: Picked # 0.603 * * * [progress]: localizing error 0.610 * * * [progress]: generating rewritten candidates 0.610 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.618 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.641 * * * [progress]: generating series expansions 0.641 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.641 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 0.641 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 0.641 * [taylor]: Taking taylor expansion of (- f n) in n 0.641 * [taylor]: Taking taylor expansion of f in n 0.641 * [taylor]: Taking taylor expansion of n in n 0.641 * [taylor]: Taking taylor expansion of (+ n f) in n 0.641 * [taylor]: Taking taylor expansion of n in n 0.641 * [taylor]: Taking taylor expansion of f in n 0.642 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.642 * [taylor]: Taking taylor expansion of (- f n) in f 0.642 * [taylor]: Taking taylor expansion of f in f 0.642 * [taylor]: Taking taylor expansion of n in f 0.642 * [taylor]: Taking taylor expansion of (+ n f) in f 0.642 * [taylor]: Taking taylor expansion of n in f 0.642 * [taylor]: Taking taylor expansion of f in f 0.642 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.642 * [taylor]: Taking taylor expansion of (- f n) in f 0.642 * [taylor]: Taking taylor expansion of f in f 0.642 * [taylor]: Taking taylor expansion of n in f 0.642 * [taylor]: Taking taylor expansion of (+ n f) in f 0.642 * [taylor]: Taking taylor expansion of n in f 0.642 * [taylor]: Taking taylor expansion of f in f 0.642 * [taylor]: Taking taylor expansion of -1 in n 0.643 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.643 * [taylor]: Taking taylor expansion of 2 in n 0.643 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.644 * [taylor]: Taking taylor expansion of n in n 0.646 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.646 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.646 * [taylor]: Taking taylor expansion of 2 in n 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.646 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.646 * [taylor]: Taking taylor expansion of n in n 0.651 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.651 * [taylor]: Taking taylor expansion of 2 in n 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.651 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.651 * [taylor]: Taking taylor expansion of n in n 0.656 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 0.656 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 0.656 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.656 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.656 * [taylor]: Taking taylor expansion of f in n 0.656 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.656 * [taylor]: Taking taylor expansion of n in n 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.657 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.657 * [taylor]: Taking taylor expansion of f in n 0.657 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.657 * [taylor]: Taking taylor expansion of n in n 0.658 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.658 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.658 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.658 * [taylor]: Taking taylor expansion of f in f 0.658 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.658 * [taylor]: Taking taylor expansion of n in f 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.658 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.658 * [taylor]: Taking taylor expansion of f in f 0.659 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.659 * [taylor]: Taking taylor expansion of n in f 0.660 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.660 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.660 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.660 * [taylor]: Taking taylor expansion of f in f 0.660 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.660 * [taylor]: Taking taylor expansion of n in f 0.660 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.660 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.660 * [taylor]: Taking taylor expansion of f in f 0.660 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.660 * [taylor]: Taking taylor expansion of n in f 0.661 * [taylor]: Taking taylor expansion of 1 in n 0.662 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.662 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.662 * [taylor]: Taking taylor expansion of 2 in n 0.662 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.662 * [taylor]: Taking taylor expansion of n in n 0.666 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.666 * [taylor]: Taking taylor expansion of 2 in n 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.666 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.666 * [taylor]: Taking taylor expansion of n in n 0.673 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.673 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.673 * [taylor]: Taking taylor expansion of 2 in n 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.673 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.673 * [taylor]: Taking taylor expansion of n in n 0.680 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 0.680 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 0.680 * [taylor]: Taking taylor expansion of -1 in n 0.680 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 0.680 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.680 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.680 * [taylor]: Taking taylor expansion of n in n 0.680 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.680 * [taylor]: Taking taylor expansion of f in n 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.680 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.680 * [taylor]: Taking taylor expansion of f in n 0.680 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.680 * [taylor]: Taking taylor expansion of n in n 0.681 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.681 * [taylor]: Taking taylor expansion of -1 in f 0.681 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.681 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.681 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.681 * [taylor]: Taking taylor expansion of n in f 0.681 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.681 * [taylor]: Taking taylor expansion of f in f 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.682 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.682 * [taylor]: Taking taylor expansion of f in f 0.682 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.682 * [taylor]: Taking taylor expansion of n in f 0.683 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.683 * [taylor]: Taking taylor expansion of -1 in f 0.683 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.683 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.683 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.683 * [taylor]: Taking taylor expansion of n in f 0.683 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.683 * [taylor]: Taking taylor expansion of f in f 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.683 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.683 * [taylor]: Taking taylor expansion of f in f 0.684 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.684 * [taylor]: Taking taylor expansion of n in f 0.685 * [taylor]: Taking taylor expansion of 1 in n 0.687 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.687 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.687 * [taylor]: Taking taylor expansion of 2 in n 0.687 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.687 * [taylor]: Taking taylor expansion of n in n 0.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.691 * [taylor]: Taking taylor expansion of 2 in n 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.691 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.691 * [taylor]: Taking taylor expansion of n in n 0.702 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.702 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.702 * [taylor]: Taking taylor expansion of 2 in n 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.702 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.708 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.708 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.708 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.708 * [taylor]: Taking taylor expansion of -1 in n 0.708 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.708 * [taylor]: Taking taylor expansion of (+ n f) in n 0.708 * [taylor]: Taking taylor expansion of n in n 0.708 * [taylor]: Taking taylor expansion of f in n 0.708 * [taylor]: Taking taylor expansion of (- f n) in n 0.708 * [taylor]: Taking taylor expansion of f in n 0.708 * [taylor]: Taking taylor expansion of n in n 0.709 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.709 * [taylor]: Taking taylor expansion of -1 in f 0.709 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.709 * [taylor]: Taking taylor expansion of (+ n f) in f 0.709 * [taylor]: Taking taylor expansion of n in f 0.709 * [taylor]: Taking taylor expansion of f in f 0.709 * [taylor]: Taking taylor expansion of (- f n) in f 0.709 * [taylor]: Taking taylor expansion of f in f 0.709 * [taylor]: Taking taylor expansion of n in f 0.709 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.709 * [taylor]: Taking taylor expansion of -1 in f 0.709 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.709 * [taylor]: Taking taylor expansion of (+ n f) in f 0.709 * [taylor]: Taking taylor expansion of n in f 0.709 * [taylor]: Taking taylor expansion of f in f 0.709 * [taylor]: Taking taylor expansion of (- f n) in f 0.709 * [taylor]: Taking taylor expansion of f in f 0.709 * [taylor]: Taking taylor expansion of n in f 0.710 * [taylor]: Taking taylor expansion of 1 in n 0.711 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.711 * [taylor]: Taking taylor expansion of 2 in n 0.711 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.711 * [taylor]: Taking taylor expansion of n in n 0.713 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.713 * [taylor]: Taking taylor expansion of 2 in n 0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.713 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.713 * [taylor]: Taking taylor expansion of n in n 0.718 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.718 * [taylor]: Taking taylor expansion of 2 in n 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.719 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.719 * [taylor]: Taking taylor expansion of n in n 0.724 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.724 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.724 * [taylor]: Taking taylor expansion of -1 in n 0.724 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.724 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.724 * [taylor]: Taking taylor expansion of f in n 0.724 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.724 * [taylor]: Taking taylor expansion of n in n 0.724 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.724 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.724 * [taylor]: Taking taylor expansion of f in n 0.724 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.725 * [taylor]: Taking taylor expansion of n in n 0.726 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.726 * [taylor]: Taking taylor expansion of -1 in f 0.726 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.726 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.726 * [taylor]: Taking taylor expansion of f in f 0.726 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.726 * [taylor]: Taking taylor expansion of n in f 0.726 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.726 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.726 * [taylor]: Taking taylor expansion of f in f 0.726 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.726 * [taylor]: Taking taylor expansion of n in f 0.727 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.727 * [taylor]: Taking taylor expansion of -1 in f 0.727 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.727 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.727 * [taylor]: Taking taylor expansion of f in f 0.728 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.728 * [taylor]: Taking taylor expansion of n in f 0.728 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.728 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.728 * [taylor]: Taking taylor expansion of f in f 0.728 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.728 * [taylor]: Taking taylor expansion of n in f 0.729 * [taylor]: Taking taylor expansion of -1 in n 0.731 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.731 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.731 * [taylor]: Taking taylor expansion of 2 in n 0.731 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.731 * [taylor]: Taking taylor expansion of n in n 0.735 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.735 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.735 * [taylor]: Taking taylor expansion of 2 in n 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.735 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.735 * [taylor]: Taking taylor expansion of n in n 0.742 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.742 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.742 * [taylor]: Taking taylor expansion of 2 in n 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.742 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.742 * [taylor]: Taking taylor expansion of n in n 0.748 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.748 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.748 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.748 * [taylor]: Taking taylor expansion of f in n 0.748 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.748 * [taylor]: Taking taylor expansion of n in n 0.748 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.748 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.748 * [taylor]: Taking taylor expansion of n in n 0.749 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.749 * [taylor]: Taking taylor expansion of f in n 0.749 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.749 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.749 * [taylor]: Taking taylor expansion of f in f 0.750 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.750 * [taylor]: Taking taylor expansion of n in f 0.750 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.750 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.750 * [taylor]: Taking taylor expansion of n in f 0.750 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.750 * [taylor]: Taking taylor expansion of f in f 0.751 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.751 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.751 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.751 * [taylor]: Taking taylor expansion of f in f 0.751 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.751 * [taylor]: Taking taylor expansion of n in f 0.751 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.751 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.751 * [taylor]: Taking taylor expansion of n in f 0.752 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.752 * [taylor]: Taking taylor expansion of f in f 0.753 * [taylor]: Taking taylor expansion of -1 in n 0.754 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.754 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.754 * [taylor]: Taking taylor expansion of 2 in n 0.754 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.754 * [taylor]: Taking taylor expansion of n in n 0.758 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.758 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.758 * [taylor]: Taking taylor expansion of 2 in n 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.758 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.758 * [taylor]: Taking taylor expansion of n in n 0.765 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.765 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.765 * [taylor]: Taking taylor expansion of 2 in n 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.765 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.765 * [taylor]: Taking taylor expansion of n in n 0.771 * * * [progress]: simplifying candidates 0.773 * [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 0.785 * * [simplify]: iteration 0 : 532 enodes (cost 1466 ) 0.796 * * [simplify]: iteration 1 : 2571 enodes (cost 1420 ) 0.840 * * [simplify]: iteration 2 : 5001 enodes (cost 1301 ) 0.849 * [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 0.850 * * * [progress]: adding candidates to table 1.054 * * [progress]: iteration 3 / 4 1.054 * * * [progress]: picking best candidate 1.058 * * * * [pick]: Picked # 1.058 * * * [progress]: localizing error 1.068 * * * [progress]: generating rewritten candidates 1.068 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.069 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.077 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.077 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.083 * * * [progress]: generating series expansions 1.083 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.083 * [approximate]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in (f n) around 0 1.083 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in n 1.084 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.084 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in n 1.084 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.084 * [taylor]: Taking taylor expansion of (- f n) in n 1.085 * [taylor]: Taking taylor expansion of f in n 1.085 * [taylor]: Taking taylor expansion of n in n 1.085 * [taylor]: Taking taylor expansion of (+ n f) in n 1.085 * [taylor]: Taking taylor expansion of n in n 1.085 * [taylor]: Taking taylor expansion of f in n 1.085 * [taylor]: Taking taylor expansion of 1 in n 1.085 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 1.085 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.085 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 1.085 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.085 * [taylor]: Taking taylor expansion of (- f n) in f 1.085 * [taylor]: Taking taylor expansion of f in f 1.085 * [taylor]: Taking taylor expansion of n in f 1.085 * [taylor]: Taking taylor expansion of (+ n f) in f 1.085 * [taylor]: Taking taylor expansion of n in f 1.085 * [taylor]: Taking taylor expansion of f in f 1.086 * [taylor]: Taking taylor expansion of 1 in f 1.086 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 1.086 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.086 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 1.086 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.086 * [taylor]: Taking taylor expansion of (- f n) in f 1.086 * [taylor]: Taking taylor expansion of f in f 1.086 * [taylor]: Taking taylor expansion of n in f 1.086 * [taylor]: Taking taylor expansion of (+ n f) in f 1.086 * [taylor]: Taking taylor expansion of n in f 1.086 * [taylor]: Taking taylor expansion of f in f 1.086 * [taylor]: Taking taylor expansion of 1 in f 1.087 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 1.087 * [taylor]: Taking taylor expansion of (exp -1) in n 1.087 * [taylor]: Taking taylor expansion of -1 in n 1.087 * [taylor]: Taking taylor expansion of 1 in n 1.091 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 1.091 * [taylor]: Taking taylor expansion of 2 in n 1.091 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.091 * [taylor]: Taking taylor expansion of (exp -1) in n 1.091 * [taylor]: Taking taylor expansion of -1 in n 1.091 * [taylor]: Taking taylor expansion of n in n 1.096 * [taylor]: Taking taylor expansion of 0 in n 1.102 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ (exp -1) (pow n 3)))) in n 1.102 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 1.102 * [taylor]: Taking taylor expansion of 2/3 in n 1.102 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 1.102 * [taylor]: Taking taylor expansion of (exp -1) in n 1.102 * [taylor]: Taking taylor expansion of -1 in n 1.103 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.103 * [taylor]: Taking taylor expansion of n in n 1.112 * [approximate]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 1.112 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 1.112 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.112 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 1.112 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.112 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.112 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.112 * [taylor]: Taking taylor expansion of f in n 1.112 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.112 * [taylor]: Taking taylor expansion of n in n 1.112 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.113 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.113 * [taylor]: Taking taylor expansion of f in n 1.113 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.113 * [taylor]: Taking taylor expansion of n in n 1.114 * [taylor]: Taking taylor expansion of 1 in n 1.114 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.114 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.114 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.114 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.114 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.114 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.114 * [taylor]: Taking taylor expansion of f in f 1.115 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.115 * [taylor]: Taking taylor expansion of n in f 1.115 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.115 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.115 * [taylor]: Taking taylor expansion of f in f 1.115 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.115 * [taylor]: Taking taylor expansion of n in f 1.116 * [taylor]: Taking taylor expansion of 1 in f 1.116 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.116 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.116 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.116 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.116 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.116 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.116 * [taylor]: Taking taylor expansion of f in f 1.120 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.120 * [taylor]: Taking taylor expansion of n in f 1.120 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.120 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.120 * [taylor]: Taking taylor expansion of f in f 1.120 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.120 * [taylor]: Taking taylor expansion of n in f 1.121 * [taylor]: Taking taylor expansion of 1 in f 1.122 * [taylor]: Taking taylor expansion of (- E 1) in n 1.122 * [taylor]: Taking taylor expansion of E in n 1.122 * [taylor]: Taking taylor expansion of 1 in n 1.124 * [taylor]: Taking taylor expansion of (- (* 2 (/ E n))) in n 1.124 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 1.124 * [taylor]: Taking taylor expansion of 2 in n 1.124 * [taylor]: Taking taylor expansion of (/ E n) in n 1.124 * [taylor]: Taking taylor expansion of E in n 1.124 * [taylor]: Taking taylor expansion of n in n 1.129 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 1.129 * [taylor]: Taking taylor expansion of 4 in n 1.129 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 1.129 * [taylor]: Taking taylor expansion of E in n 1.129 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.129 * [taylor]: Taking taylor expansion of n in n 1.138 * [taylor]: Taking taylor expansion of (- (* 22/3 (/ E (pow n 3)))) in n 1.138 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 1.138 * [taylor]: Taking taylor expansion of 22/3 in n 1.138 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 1.138 * [taylor]: Taking taylor expansion of E in n 1.138 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.138 * [taylor]: Taking taylor expansion of n in n 1.144 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 1.145 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 1.145 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.145 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 1.145 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.145 * [taylor]: Taking taylor expansion of -1 in n 1.145 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.145 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.145 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.145 * [taylor]: Taking taylor expansion of n in n 1.145 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.145 * [taylor]: Taking taylor expansion of f in n 1.145 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.145 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.145 * [taylor]: Taking taylor expansion of f in n 1.145 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.145 * [taylor]: Taking taylor expansion of n in n 1.147 * [taylor]: Taking taylor expansion of 1 in n 1.147 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.147 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.147 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.147 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.147 * [taylor]: Taking taylor expansion of -1 in f 1.147 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.147 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.147 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.147 * [taylor]: Taking taylor expansion of n in f 1.147 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.147 * [taylor]: Taking taylor expansion of f in f 1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.147 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.147 * [taylor]: Taking taylor expansion of f in f 1.148 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.148 * [taylor]: Taking taylor expansion of n in f 1.149 * [taylor]: Taking taylor expansion of 1 in f 1.149 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.149 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.149 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.149 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.149 * [taylor]: Taking taylor expansion of -1 in f 1.149 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.149 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.149 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.149 * [taylor]: Taking taylor expansion of n in f 1.149 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.149 * [taylor]: Taking taylor expansion of f in f 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.149 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.149 * [taylor]: Taking taylor expansion of f in f 1.150 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.150 * [taylor]: Taking taylor expansion of n in f 1.151 * [taylor]: Taking taylor expansion of 1 in f 1.151 * [taylor]: Taking taylor expansion of (- E 1) in n 1.152 * [taylor]: Taking taylor expansion of E in n 1.152 * [taylor]: Taking taylor expansion of 1 in n 1.154 * [taylor]: Taking taylor expansion of (- (* 2 (/ E n))) in n 1.155 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 1.155 * [taylor]: Taking taylor expansion of 2 in n 1.155 * [taylor]: Taking taylor expansion of (/ E n) in n 1.155 * [taylor]: Taking taylor expansion of E in n 1.155 * [taylor]: Taking taylor expansion of n in n 1.160 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 1.160 * [taylor]: Taking taylor expansion of 4 in n 1.160 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 1.160 * [taylor]: Taking taylor expansion of E in n 1.160 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.160 * [taylor]: Taking taylor expansion of n in n 1.169 * [taylor]: Taking taylor expansion of (- (* 22/3 (/ E (pow n 3)))) in n 1.169 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 1.169 * [taylor]: Taking taylor expansion of 22/3 in n 1.169 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 1.169 * [taylor]: Taking taylor expansion of E in n 1.169 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.170 * [taylor]: Taking taylor expansion of n in n 1.176 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.176 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 1.176 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.176 * [taylor]: Taking taylor expansion of (- f n) in n 1.176 * [taylor]: Taking taylor expansion of f in n 1.176 * [taylor]: Taking taylor expansion of n in n 1.176 * [taylor]: Taking taylor expansion of (+ n f) in n 1.176 * [taylor]: Taking taylor expansion of n in n 1.176 * [taylor]: Taking taylor expansion of f in n 1.176 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.176 * [taylor]: Taking taylor expansion of (- f n) in f 1.176 * [taylor]: Taking taylor expansion of f in f 1.176 * [taylor]: Taking taylor expansion of n in f 1.176 * [taylor]: Taking taylor expansion of (+ n f) in f 1.177 * [taylor]: Taking taylor expansion of n in f 1.177 * [taylor]: Taking taylor expansion of f in f 1.177 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.177 * [taylor]: Taking taylor expansion of (- f n) in f 1.177 * [taylor]: Taking taylor expansion of f in f 1.177 * [taylor]: Taking taylor expansion of n in f 1.177 * [taylor]: Taking taylor expansion of (+ n f) in f 1.177 * [taylor]: Taking taylor expansion of n in f 1.177 * [taylor]: Taking taylor expansion of f in f 1.177 * [taylor]: Taking taylor expansion of -1 in n 1.178 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.178 * [taylor]: Taking taylor expansion of 2 in n 1.178 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.178 * [taylor]: Taking taylor expansion of n in n 1.180 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.180 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.180 * [taylor]: Taking taylor expansion of 2 in n 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.180 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.180 * [taylor]: Taking taylor expansion of n in n 1.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.185 * [taylor]: Taking taylor expansion of 2 in n 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.185 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.185 * [taylor]: Taking taylor expansion of n in n 1.190 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 1.190 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.190 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.190 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.190 * [taylor]: Taking taylor expansion of f in n 1.190 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.190 * [taylor]: Taking taylor expansion of n in n 1.191 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.191 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.191 * [taylor]: Taking taylor expansion of f in n 1.191 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.191 * [taylor]: Taking taylor expansion of n in n 1.192 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.192 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.192 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.192 * [taylor]: Taking taylor expansion of f in f 1.192 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.192 * [taylor]: Taking taylor expansion of n in f 1.192 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.192 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.192 * [taylor]: Taking taylor expansion of f in f 1.193 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.193 * [taylor]: Taking taylor expansion of n in f 1.193 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.194 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.194 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.194 * [taylor]: Taking taylor expansion of f in f 1.194 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.194 * [taylor]: Taking taylor expansion of n in f 1.194 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.194 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.194 * [taylor]: Taking taylor expansion of f in f 1.194 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.194 * [taylor]: Taking taylor expansion of n in f 1.195 * [taylor]: Taking taylor expansion of 1 in n 1.196 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.196 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.196 * [taylor]: Taking taylor expansion of 2 in n 1.196 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.196 * [taylor]: Taking taylor expansion of n in n 1.200 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.200 * [taylor]: Taking taylor expansion of 2 in n 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.200 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.200 * [taylor]: Taking taylor expansion of n in n 1.210 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.210 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.210 * [taylor]: Taking taylor expansion of 2 in n 1.210 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.210 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.210 * [taylor]: Taking taylor expansion of n in n 1.215 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 1.215 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.215 * [taylor]: Taking taylor expansion of -1 in n 1.216 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.216 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.216 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.216 * [taylor]: Taking taylor expansion of n in n 1.216 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.216 * [taylor]: Taking taylor expansion of f in n 1.216 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.216 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.216 * [taylor]: Taking taylor expansion of f in n 1.216 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.216 * [taylor]: Taking taylor expansion of n in n 1.217 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.217 * [taylor]: Taking taylor expansion of -1 in f 1.217 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.217 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.217 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.217 * [taylor]: Taking taylor expansion of n in f 1.217 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.217 * [taylor]: Taking taylor expansion of f in f 1.217 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.217 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.217 * [taylor]: Taking taylor expansion of f in f 1.218 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.218 * [taylor]: Taking taylor expansion of n in f 1.219 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.219 * [taylor]: Taking taylor expansion of -1 in f 1.219 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.219 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.219 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.219 * [taylor]: Taking taylor expansion of n in f 1.219 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.219 * [taylor]: Taking taylor expansion of f in f 1.219 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.219 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.219 * [taylor]: Taking taylor expansion of f in f 1.219 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.219 * [taylor]: Taking taylor expansion of n in f 1.221 * [taylor]: Taking taylor expansion of 1 in n 1.222 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.222 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.222 * [taylor]: Taking taylor expansion of 2 in n 1.222 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.222 * [taylor]: Taking taylor expansion of n in n 1.226 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.226 * [taylor]: Taking taylor expansion of 2 in n 1.226 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.226 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.227 * [taylor]: Taking taylor expansion of n in n 1.234 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.234 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.234 * [taylor]: Taking taylor expansion of 2 in n 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.234 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.234 * [taylor]: Taking taylor expansion of n in n 1.239 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.240 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in (f n) around 0 1.240 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in n 1.240 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 1.240 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in n 1.240 * [taylor]: Taking taylor expansion of 1 in n 1.240 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in n 1.240 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.240 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in n 1.240 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.240 * [taylor]: Taking taylor expansion of (- f n) in n 1.240 * [taylor]: Taking taylor expansion of f in n 1.240 * [taylor]: Taking taylor expansion of n in n 1.240 * [taylor]: Taking taylor expansion of (+ n f) in n 1.240 * [taylor]: Taking taylor expansion of n in n 1.240 * [taylor]: Taking taylor expansion of f in n 1.240 * [taylor]: Taking taylor expansion of 1 in n 1.242 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in f 1.242 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 1.242 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in f 1.242 * [taylor]: Taking taylor expansion of 1 in f 1.242 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 1.242 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.242 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 1.242 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.242 * [taylor]: Taking taylor expansion of (- f n) in f 1.242 * [taylor]: Taking taylor expansion of f in f 1.242 * [taylor]: Taking taylor expansion of n in f 1.242 * [taylor]: Taking taylor expansion of (+ n f) in f 1.242 * [taylor]: Taking taylor expansion of n in f 1.242 * [taylor]: Taking taylor expansion of f in f 1.242 * [taylor]: Taking taylor expansion of 1 in f 1.245 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in f 1.245 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 1.245 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in f 1.245 * [taylor]: Taking taylor expansion of 1 in f 1.245 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 1.245 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.245 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 1.245 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.245 * [taylor]: Taking taylor expansion of (- f n) in f 1.245 * [taylor]: Taking taylor expansion of f in f 1.245 * [taylor]: Taking taylor expansion of n in f 1.245 * [taylor]: Taking taylor expansion of (+ n f) in f 1.245 * [taylor]: Taking taylor expansion of n in f 1.245 * [taylor]: Taking taylor expansion of f in f 1.245 * [taylor]: Taking taylor expansion of 1 in f 1.247 * [taylor]: Taking taylor expansion of -1 in n 1.251 * [taylor]: Taking taylor expansion of (/ 2 n) in n 1.251 * [taylor]: Taking taylor expansion of 2 in n 1.251 * [taylor]: Taking taylor expansion of n in n 1.256 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 1.256 * [taylor]: Taking taylor expansion of -2 in n 1.256 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.256 * [taylor]: Taking taylor expansion of n in n 1.265 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 1.265 * [taylor]: Taking taylor expansion of 2 in n 1.265 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.265 * [taylor]: Taking taylor expansion of n in n 1.270 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 1.270 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 1.270 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 1.270 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 1.270 * [taylor]: Taking taylor expansion of 1 in n 1.270 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 1.270 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.270 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 1.270 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.270 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.270 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.270 * [taylor]: Taking taylor expansion of f in n 1.270 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.270 * [taylor]: Taking taylor expansion of n in n 1.270 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.270 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.271 * [taylor]: Taking taylor expansion of f in n 1.271 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.271 * [taylor]: Taking taylor expansion of n in n 1.272 * [taylor]: Taking taylor expansion of 1 in n 1.274 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 1.274 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 1.274 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 1.274 * [taylor]: Taking taylor expansion of 1 in f 1.274 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.274 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.274 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.274 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.274 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.274 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.274 * [taylor]: Taking taylor expansion of f in f 1.275 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.275 * [taylor]: Taking taylor expansion of n in f 1.275 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.275 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.275 * [taylor]: Taking taylor expansion of f in f 1.275 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.275 * [taylor]: Taking taylor expansion of n in f 1.276 * [taylor]: Taking taylor expansion of 1 in f 1.277 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 1.277 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 1.277 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 1.277 * [taylor]: Taking taylor expansion of 1 in f 1.277 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.277 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.277 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.277 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.277 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.277 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.277 * [taylor]: Taking taylor expansion of f in f 1.277 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.277 * [taylor]: Taking taylor expansion of n in f 1.278 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.278 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.278 * [taylor]: Taking taylor expansion of f in f 1.278 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.278 * [taylor]: Taking taylor expansion of n in f 1.279 * [taylor]: Taking taylor expansion of 1 in f 1.280 * [taylor]: Taking taylor expansion of 1 in n 1.282 * [taylor]: Taking taylor expansion of (/ -2 n) in n 1.282 * [taylor]: Taking taylor expansion of -2 in n 1.282 * [taylor]: Taking taylor expansion of n in n 1.290 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 1.290 * [taylor]: Taking taylor expansion of 2 in n 1.290 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.290 * [taylor]: Taking taylor expansion of n in n 1.298 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 1.298 * [taylor]: Taking taylor expansion of -2 in n 1.298 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.298 * [taylor]: Taking taylor expansion of n in n 1.303 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in (f n) around 0 1.303 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 1.303 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 1.304 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 1.304 * [taylor]: Taking taylor expansion of 1 in n 1.304 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 1.304 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.304 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 1.304 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.304 * [taylor]: Taking taylor expansion of -1 in n 1.304 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.304 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.304 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.304 * [taylor]: Taking taylor expansion of n in n 1.304 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.304 * [taylor]: Taking taylor expansion of f in n 1.304 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.304 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.304 * [taylor]: Taking taylor expansion of f in n 1.304 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.304 * [taylor]: Taking taylor expansion of n in n 1.306 * [taylor]: Taking taylor expansion of 1 in n 1.308 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 1.308 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 1.308 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 1.308 * [taylor]: Taking taylor expansion of 1 in f 1.308 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.308 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.308 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.308 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.308 * [taylor]: Taking taylor expansion of -1 in f 1.308 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.308 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.308 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.308 * [taylor]: Taking taylor expansion of n in f 1.308 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.308 * [taylor]: Taking taylor expansion of f in f 1.308 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.308 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.308 * [taylor]: Taking taylor expansion of f in f 1.309 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.309 * [taylor]: Taking taylor expansion of n in f 1.310 * [taylor]: Taking taylor expansion of 1 in f 1.311 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 1.311 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 1.311 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 1.311 * [taylor]: Taking taylor expansion of 1 in f 1.311 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.311 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.311 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.311 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.311 * [taylor]: Taking taylor expansion of -1 in f 1.311 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.311 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.311 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.311 * [taylor]: Taking taylor expansion of n in f 1.311 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.311 * [taylor]: Taking taylor expansion of f in f 1.312 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.312 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.312 * [taylor]: Taking taylor expansion of f in f 1.312 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.312 * [taylor]: Taking taylor expansion of n in f 1.313 * [taylor]: Taking taylor expansion of 1 in f 1.314 * [taylor]: Taking taylor expansion of 1 in n 1.317 * [taylor]: Taking taylor expansion of (/ -2 n) in n 1.317 * [taylor]: Taking taylor expansion of -2 in n 1.317 * [taylor]: Taking taylor expansion of n in n 1.322 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 1.322 * [taylor]: Taking taylor expansion of 2 in n 1.322 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.322 * [taylor]: Taking taylor expansion of n in n 1.331 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 1.331 * [taylor]: Taking taylor expansion of -2 in n 1.331 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.331 * [taylor]: Taking taylor expansion of n in n 1.336 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.336 * [approximate]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- f n) (+ n f))))) in (f n) around 0 1.336 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- f n) (+ n f))))) in n 1.336 * [taylor]: Taking taylor expansion of -1 in n 1.336 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in n 1.336 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 1.336 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in n 1.336 * [taylor]: Taking taylor expansion of 1 in n 1.336 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in n 1.336 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.336 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in n 1.336 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.336 * [taylor]: Taking taylor expansion of (- f n) in n 1.336 * [taylor]: Taking taylor expansion of f in n 1.336 * [taylor]: Taking taylor expansion of n in n 1.336 * [taylor]: Taking taylor expansion of (+ n f) in n 1.336 * [taylor]: Taking taylor expansion of n in n 1.336 * [taylor]: Taking taylor expansion of f in n 1.337 * [taylor]: Taking taylor expansion of 1 in n 1.338 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- f n) (+ n f))))) in f 1.338 * [taylor]: Taking taylor expansion of -1 in f 1.338 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in f 1.338 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 1.338 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in f 1.338 * [taylor]: Taking taylor expansion of 1 in f 1.338 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 1.338 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.338 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 1.338 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.338 * [taylor]: Taking taylor expansion of (- f n) in f 1.338 * [taylor]: Taking taylor expansion of f in f 1.338 * [taylor]: Taking taylor expansion of n in f 1.338 * [taylor]: Taking taylor expansion of (+ n f) in f 1.338 * [taylor]: Taking taylor expansion of n in f 1.338 * [taylor]: Taking taylor expansion of f in f 1.339 * [taylor]: Taking taylor expansion of 1 in f 1.341 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- f n) (+ n f))))) in f 1.341 * [taylor]: Taking taylor expansion of -1 in f 1.341 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in f 1.341 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 1.341 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in f 1.341 * [taylor]: Taking taylor expansion of 1 in f 1.341 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 1.341 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.341 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 1.341 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.341 * [taylor]: Taking taylor expansion of (- f n) in f 1.341 * [taylor]: Taking taylor expansion of f in f 1.341 * [taylor]: Taking taylor expansion of n in f 1.341 * [taylor]: Taking taylor expansion of (+ n f) in f 1.341 * [taylor]: Taking taylor expansion of n in f 1.341 * [taylor]: Taking taylor expansion of f in f 1.342 * [taylor]: Taking taylor expansion of 1 in f 1.344 * [taylor]: Taking taylor expansion of 1 in n 1.348 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.348 * [taylor]: Taking taylor expansion of 2 in n 1.348 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.348 * [taylor]: Taking taylor expansion of n in n 1.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.353 * [taylor]: Taking taylor expansion of 2 in n 1.353 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.353 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.353 * [taylor]: Taking taylor expansion of n in n 1.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.363 * [taylor]: Taking taylor expansion of 2 in n 1.363 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.363 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.363 * [taylor]: Taking taylor expansion of n in n 1.371 * [approximate]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in (f n) around 0 1.371 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in n 1.371 * [taylor]: Taking taylor expansion of -1 in n 1.371 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 1.371 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 1.371 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 1.371 * [taylor]: Taking taylor expansion of 1 in n 1.371 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 1.371 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.371 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 1.371 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.371 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.372 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.372 * [taylor]: Taking taylor expansion of f in n 1.372 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.372 * [taylor]: Taking taylor expansion of n in n 1.372 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.372 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.372 * [taylor]: Taking taylor expansion of f in n 1.372 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.372 * [taylor]: Taking taylor expansion of n in n 1.373 * [taylor]: Taking taylor expansion of 1 in n 1.376 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 1.376 * [taylor]: Taking taylor expansion of -1 in f 1.376 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 1.376 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 1.376 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 1.376 * [taylor]: Taking taylor expansion of 1 in f 1.376 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.376 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.376 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.376 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.376 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.376 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.376 * [taylor]: Taking taylor expansion of f in f 1.376 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.376 * [taylor]: Taking taylor expansion of n in f 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.376 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.376 * [taylor]: Taking taylor expansion of f in f 1.377 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.377 * [taylor]: Taking taylor expansion of n in f 1.377 * [taylor]: Taking taylor expansion of 1 in f 1.379 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 1.379 * [taylor]: Taking taylor expansion of -1 in f 1.379 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 1.379 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 1.379 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 1.379 * [taylor]: Taking taylor expansion of 1 in f 1.379 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.379 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.379 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.379 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.379 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.379 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.379 * [taylor]: Taking taylor expansion of f in f 1.379 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.379 * [taylor]: Taking taylor expansion of n in f 1.379 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.379 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.379 * [taylor]: Taking taylor expansion of f in f 1.380 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.380 * [taylor]: Taking taylor expansion of n in f 1.381 * [taylor]: Taking taylor expansion of 1 in f 1.382 * [taylor]: Taking taylor expansion of -1 in n 1.384 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.384 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.384 * [taylor]: Taking taylor expansion of 2 in n 1.384 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.384 * [taylor]: Taking taylor expansion of n in n 1.390 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.390 * [taylor]: Taking taylor expansion of 2 in n 1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.390 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.390 * [taylor]: Taking taylor expansion of n in n 1.401 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.401 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.401 * [taylor]: Taking taylor expansion of 2 in n 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.401 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.401 * [taylor]: Taking taylor expansion of n in n 1.407 * [approximate]: Taking taylor expansion of (/ -1 (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) in (f n) around 0 1.407 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) in n 1.407 * [taylor]: Taking taylor expansion of -1 in n 1.407 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 1.407 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 1.407 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 1.407 * [taylor]: Taking taylor expansion of 1 in n 1.407 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 1.407 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.407 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 1.407 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.407 * [taylor]: Taking taylor expansion of -1 in n 1.407 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.407 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.407 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.407 * [taylor]: Taking taylor expansion of n in n 1.407 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.407 * [taylor]: Taking taylor expansion of f in n 1.407 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.407 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.407 * [taylor]: Taking taylor expansion of f in n 1.407 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.407 * [taylor]: Taking taylor expansion of n in n 1.409 * [taylor]: Taking taylor expansion of 1 in n 1.411 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) in f 1.411 * [taylor]: Taking taylor expansion of -1 in f 1.411 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 1.411 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 1.411 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 1.412 * [taylor]: Taking taylor expansion of 1 in f 1.412 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.412 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.412 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.412 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.412 * [taylor]: Taking taylor expansion of -1 in f 1.412 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.412 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.412 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.412 * [taylor]: Taking taylor expansion of n in f 1.412 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.412 * [taylor]: Taking taylor expansion of f in f 1.412 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.412 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.412 * [taylor]: Taking taylor expansion of f in f 1.412 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.412 * [taylor]: Taking taylor expansion of n in f 1.414 * [taylor]: Taking taylor expansion of 1 in f 1.415 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) in f 1.415 * [taylor]: Taking taylor expansion of -1 in f 1.415 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 1.415 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 1.415 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 1.415 * [taylor]: Taking taylor expansion of 1 in f 1.415 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.415 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.415 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.415 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.415 * [taylor]: Taking taylor expansion of -1 in f 1.415 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.415 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.415 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.415 * [taylor]: Taking taylor expansion of n in f 1.415 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.415 * [taylor]: Taking taylor expansion of f in f 1.416 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.416 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.416 * [taylor]: Taking taylor expansion of f in f 1.416 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.416 * [taylor]: Taking taylor expansion of n in f 1.417 * [taylor]: Taking taylor expansion of 1 in f 1.419 * [taylor]: Taking taylor expansion of -1 in n 1.422 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.422 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.422 * [taylor]: Taking taylor expansion of 2 in n 1.422 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.422 * [taylor]: Taking taylor expansion of n in n 1.428 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.428 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.428 * [taylor]: Taking taylor expansion of 2 in n 1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.428 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.428 * [taylor]: Taking taylor expansion of n in n 1.439 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.439 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.439 * [taylor]: Taking taylor expansion of 2 in n 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.439 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.439 * [taylor]: Taking taylor expansion of n in n 1.445 * * * [progress]: simplifying candidates 1.447 * [simplify]: Simplifying using # : (exp (/ (- f n) (+ f n))) (expm1 (expm1 (/ (- f n) (+ f n)))) (log1p (expm1 (/ (- f n) (+ f n)))) (log (expm1 (/ (- f n) (+ f n)))) (exp (expm1 (/ (- f n) (+ f n)))) (* (cbrt (expm1 (/ (- f n) (+ f n)))) (cbrt (expm1 (/ (- f n) (+ f n))))) (cbrt (expm1 (/ (- f n) (+ f n)))) (* (* (expm1 (/ (- f n) (+ f n))) (expm1 (/ (- f n) (+ f n)))) (expm1 (/ (- f n) (+ f n)))) (sqrt (expm1 (/ (- f n) (+ f n)))) (sqrt (expm1 (/ (- 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)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (+ 1 (expm1 (/ (- f n) (+ f n)))) (expm1 (log1p (expm1 (/ (- f n) (+ f n))))) (log1p (log1p (expm1 (/ (- f n) (+ f n))))) (log (log1p (expm1 (/ (- f n) (+ f n))))) (exp (log1p (expm1 (/ (- f n) (+ f n))))) (* (cbrt (log1p (expm1 (/ (- f n) (+ f n))))) (cbrt (log1p (expm1 (/ (- f n) (+ f n)))))) (cbrt (log1p (expm1 (/ (- f n) (+ f n))))) (* (* (log1p (expm1 (/ (- f n) (+ f n)))) (log1p (expm1 (/ (- f n) (+ f n))))) (log1p (expm1 (/ (- f n) (+ f n))))) (sqrt (log1p (expm1 (/ (- f n) (+ f n))))) (sqrt (log1p (expm1 (/ (- f n) (+ f n))))) (expm1 (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (log1p (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (- (log -1) (log (log1p (expm1 (/ (- f n) (+ f n)))))) (log (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (exp (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (* (* -1 -1) -1) (* (* (log1p (expm1 (/ (- f n) (+ f n)))) (log1p (expm1 (/ (- f n) (+ f n))))) (log1p (expm1 (/ (- f n) (+ f n)))))) (* (cbrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (cbrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n))))))) (cbrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (* (* (/ -1 (log1p (expm1 (/ (- f n) (+ f n))))) (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (sqrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (sqrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (- -1) (- (log1p (expm1 (/ (- f n) (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (log1p (expm1 (/ (- f n) (+ f n))))) (cbrt (log1p (expm1 (/ (- f n) (+ f n))))))) (/ (cbrt -1) (cbrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (cbrt -1) (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (log1p (expm1 (/ (- f n) (+ f n))))) (/ (sqrt -1) (* (cbrt (log1p (expm1 (/ (- f n) (+ f n))))) (cbrt (log1p (expm1 (/ (- f n) (+ f n))))))) (/ (sqrt -1) (cbrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (sqrt -1) (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (sqrt -1) (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (sqrt -1) 1) (/ (sqrt -1) (log1p (expm1 (/ (- f n) (+ f n))))) (/ 1 (* (cbrt (log1p (expm1 (/ (- f n) (+ f n))))) (cbrt (log1p (expm1 (/ (- f n) (+ f n))))))) (/ -1 (cbrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ 1 (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ -1 (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ 1 1) (/ -1 (log1p (expm1 (/ (- f n) (+ f n))))) (/ 1 (log1p (expm1 (/ (- f n) (+ f n))))) (/ (log1p (expm1 (/ (- f n) (+ f n)))) -1) (/ -1 (* (cbrt (log1p (expm1 (/ (- f n) (+ f n))))) (cbrt (log1p (expm1 (/ (- f n) (+ f n))))))) (/ -1 (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ -1 1) (/ (log1p (expm1 (/ (- f n) (+ f n)))) (cbrt -1)) (/ (log1p (expm1 (/ (- f n) (+ f n)))) (sqrt -1)) (/ (log1p (expm1 (/ (- f n) (+ f n)))) -1) (- (exp -1) 1) (- E 1) (- E 1) -1 1 1 -1 1 1 1 -1 -1 1.455 * * [simplify]: iteration 0 : 294 enodes (cost 718 ) 1.460 * * [simplify]: iteration 1 : 967 enodes (cost 619 ) 1.478 * * [simplify]: iteration 2 : 4278 enodes (cost 594 ) 1.542 * * [simplify]: iteration 3 : 5001 enodes (cost 593 ) 1.546 * [simplify]: Simplified to: (exp (/ (- f n) (+ f n))) (expm1 (expm1 (/ (- f n) (+ f n)))) (/ (- f n) (+ f n)) (log (expm1 (/ (- f n) (+ f n)))) (exp (expm1 (/ (- f n) (+ f n)))) (* (cbrt (expm1 (/ (- f n) (+ f n)))) (cbrt (expm1 (/ (- f n) (+ f n))))) (cbrt (expm1 (/ (- f n) (+ f n)))) (pow (expm1 (/ (- f n) (+ f n))) 3) (sqrt (expm1 (/ (- f n) (+ f n)))) (sqrt (expm1 (/ (- f n) (+ f n)))) (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))) (fma f -1 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))) (/ (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 (* (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 (/ (- 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)) (/ (- (sqrt f) (sqrt n)) (+ f n)) (+ (sqrt f) (sqrt n)) (/ (- (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 (/ (- f n) (+ f n)) 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) (- f n) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (fma f f (fma n n (* f n))) (+ f n)) (* (+ f n) (+ f n)) (+ 1 (expm1 (/ (- f n) (+ f n)))) (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (* (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))) (expm1 (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (log1p (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (- (log -1) (log (/ (- f n) (+ f n)))) (- (log -1) (log (/ (- f n) (+ f n)))) (pow (exp (/ -1 (- f n))) (+ f n)) (/ -1 (pow (/ (- f n) (+ f n)) 3)) (* (cbrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (cbrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n))))))) (cbrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (/ -1 (pow (/ (- f n) (+ f n)) 3)) (sqrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (sqrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) 1 (/ (- f n) (* -1 (+ f n))) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) 1 (* (/ -1 (- f n)) (+ f n)) (/ (/ (sqrt -1) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (sqrt -1) (* (/ (sqrt -1) (- f n)) (+ f n)) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) 1 (* (/ -1 (- f n)) (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* -1 (+ f n))) (/ (/ -1 (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) -1 (/ (- f n) (* -1 (+ f n))) (/ (- f n) (* (sqrt -1) (+ f n))) (/ (- f n) (* -1 (+ f n))) (expm1 -1) (- E 1) (- E 1) -1 1 1 -1 1 1 1 -1 -1 1.547 * * * [progress]: adding candidates to table 1.719 * * [progress]: iteration 4 / 4 1.719 * * * [progress]: picking best candidate 1.721 * * * * [pick]: Picked # 1.721 * * * [progress]: localizing error 1.729 * * * [progress]: generating rewritten candidates 1.729 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.738 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.764 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.783 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.838 * * * [progress]: generating series expansions 1.838 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.838 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 1.838 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.838 * [taylor]: Taking taylor expansion of (- f n) in n 1.838 * [taylor]: Taking taylor expansion of f in n 1.838 * [taylor]: Taking taylor expansion of n in n 1.838 * [taylor]: Taking taylor expansion of (+ n f) in n 1.838 * [taylor]: Taking taylor expansion of n in n 1.839 * [taylor]: Taking taylor expansion of f in n 1.839 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.839 * [taylor]: Taking taylor expansion of (- f n) in f 1.839 * [taylor]: Taking taylor expansion of f in f 1.839 * [taylor]: Taking taylor expansion of n in f 1.839 * [taylor]: Taking taylor expansion of (+ n f) in f 1.839 * [taylor]: Taking taylor expansion of n in f 1.839 * [taylor]: Taking taylor expansion of f in f 1.839 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.839 * [taylor]: Taking taylor expansion of (- f n) in f 1.839 * [taylor]: Taking taylor expansion of f in f 1.839 * [taylor]: Taking taylor expansion of n in f 1.839 * [taylor]: Taking taylor expansion of (+ n f) in f 1.839 * [taylor]: Taking taylor expansion of n in f 1.839 * [taylor]: Taking taylor expansion of f in f 1.840 * [taylor]: Taking taylor expansion of -1 in n 1.840 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.840 * [taylor]: Taking taylor expansion of 2 in n 1.840 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.841 * [taylor]: Taking taylor expansion of n in n 1.842 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.842 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.842 * [taylor]: Taking taylor expansion of 2 in n 1.843 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.843 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.843 * [taylor]: Taking taylor expansion of n in n 1.847 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.847 * [taylor]: Taking taylor expansion of 2 in n 1.847 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.847 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.848 * [taylor]: Taking taylor expansion of n in n 1.853 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 1.853 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.853 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.853 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.853 * [taylor]: Taking taylor expansion of f in n 1.853 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.853 * [taylor]: Taking taylor expansion of n in n 1.853 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.853 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.853 * [taylor]: Taking taylor expansion of f in n 1.853 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.853 * [taylor]: Taking taylor expansion of n in n 1.855 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.855 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.855 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.855 * [taylor]: Taking taylor expansion of f in f 1.855 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.855 * [taylor]: Taking taylor expansion of n in f 1.855 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.855 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.855 * [taylor]: Taking taylor expansion of f in f 1.856 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.856 * [taylor]: Taking taylor expansion of n in f 1.856 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.856 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.856 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.857 * [taylor]: Taking taylor expansion of f in f 1.857 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.857 * [taylor]: Taking taylor expansion of n in f 1.857 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.857 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.857 * [taylor]: Taking taylor expansion of f in f 1.857 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.857 * [taylor]: Taking taylor expansion of n in f 1.858 * [taylor]: Taking taylor expansion of 1 in n 1.859 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.859 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.859 * [taylor]: Taking taylor expansion of 2 in n 1.859 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.859 * [taylor]: Taking taylor expansion of n in n 1.863 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.863 * [taylor]: Taking taylor expansion of 2 in n 1.863 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.863 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.863 * [taylor]: Taking taylor expansion of n in n 1.870 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.870 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.870 * [taylor]: Taking taylor expansion of 2 in n 1.870 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.870 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.870 * [taylor]: Taking taylor expansion of n in n 1.875 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 1.875 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.876 * [taylor]: Taking taylor expansion of -1 in n 1.876 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.876 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.876 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.876 * [taylor]: Taking taylor expansion of n in n 1.876 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.876 * [taylor]: Taking taylor expansion of f in n 1.876 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.876 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.876 * [taylor]: Taking taylor expansion of f in n 1.876 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.876 * [taylor]: Taking taylor expansion of n in n 1.877 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.877 * [taylor]: Taking taylor expansion of -1 in f 1.877 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.877 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.877 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.877 * [taylor]: Taking taylor expansion of n in f 1.877 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.877 * [taylor]: Taking taylor expansion of f in f 1.877 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.877 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.877 * [taylor]: Taking taylor expansion of f in f 1.878 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.878 * [taylor]: Taking taylor expansion of n in f 1.879 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.879 * [taylor]: Taking taylor expansion of -1 in f 1.879 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.879 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.879 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.879 * [taylor]: Taking taylor expansion of n in f 1.879 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.879 * [taylor]: Taking taylor expansion of f in f 1.879 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.879 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.879 * [taylor]: Taking taylor expansion of f in f 1.879 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.879 * [taylor]: Taking taylor expansion of n in f 1.881 * [taylor]: Taking taylor expansion of 1 in n 1.882 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.882 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.882 * [taylor]: Taking taylor expansion of 2 in n 1.882 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.882 * [taylor]: Taking taylor expansion of n in n 1.892 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.892 * [taylor]: Taking taylor expansion of 2 in n 1.892 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.892 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.892 * [taylor]: Taking taylor expansion of n in n 1.899 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.900 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.900 * [taylor]: Taking taylor expansion of 2 in n 1.900 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.900 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.900 * [taylor]: Taking taylor expansion of n in n 1.905 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.906 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 1.906 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 1.906 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 1.906 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.906 * [taylor]: Taking taylor expansion of -1 in n 1.907 * [taylor]: Taking taylor expansion of (+ n f) in n 1.907 * [taylor]: Taking taylor expansion of n in n 1.907 * [taylor]: Taking taylor expansion of f in n 1.907 * [taylor]: Taking taylor expansion of (- f n) in n 1.907 * [taylor]: Taking taylor expansion of f in n 1.907 * [taylor]: Taking taylor expansion of n in n 1.908 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 1.908 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 1.908 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.908 * [taylor]: Taking taylor expansion of -1 in f 1.909 * [taylor]: Taking taylor expansion of (+ n f) in f 1.909 * [taylor]: Taking taylor expansion of n in f 1.909 * [taylor]: Taking taylor expansion of f in f 1.909 * [taylor]: Taking taylor expansion of (- f n) in f 1.909 * [taylor]: Taking taylor expansion of f in f 1.909 * [taylor]: Taking taylor expansion of n in f 1.910 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 1.910 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 1.910 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.910 * [taylor]: Taking taylor expansion of -1 in f 1.910 * [taylor]: Taking taylor expansion of (+ n f) in f 1.910 * [taylor]: Taking taylor expansion of n in f 1.910 * [taylor]: Taking taylor expansion of f in f 1.910 * [taylor]: Taking taylor expansion of (- f n) in f 1.910 * [taylor]: Taking taylor expansion of f in f 1.910 * [taylor]: Taking taylor expansion of n in f 1.911 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 1.911 * [taylor]: Taking taylor expansion of -1 in n 1.911 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.911 * [taylor]: Taking taylor expansion of -1 in n 1.915 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 1.915 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 1.916 * [taylor]: Taking taylor expansion of 2 in n 1.916 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 1.916 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.916 * [taylor]: Taking taylor expansion of -1 in n 1.916 * [taylor]: Taking taylor expansion of n in n 1.922 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 1.922 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 1.922 * [taylor]: Taking taylor expansion of 2 in n 1.922 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 1.922 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.922 * [taylor]: Taking taylor expansion of -1 in n 1.923 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.923 * [taylor]: Taking taylor expansion of n in n 1.935 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 1.935 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 1.935 * [taylor]: Taking taylor expansion of 2 in n 1.935 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 1.935 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.935 * [taylor]: Taking taylor expansion of -1 in n 1.935 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.935 * [taylor]: Taking taylor expansion of n in n 1.944 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 1.944 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n 1.944 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in n 1.944 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.944 * [taylor]: Taking taylor expansion of -1 in n 1.945 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.945 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.945 * [taylor]: Taking taylor expansion of f in n 1.945 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.945 * [taylor]: Taking taylor expansion of n in n 1.945 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.945 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.945 * [taylor]: Taking taylor expansion of f in n 1.945 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.946 * [taylor]: Taking taylor expansion of n in n 1.948 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 1.948 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 1.948 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.948 * [taylor]: Taking taylor expansion of -1 in f 1.948 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.948 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.948 * [taylor]: Taking taylor expansion of f in f 1.949 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.949 * [taylor]: Taking taylor expansion of n in f 1.949 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.949 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.949 * [taylor]: Taking taylor expansion of f in f 1.949 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.949 * [taylor]: Taking taylor expansion of n in f 1.951 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 1.951 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 1.951 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.951 * [taylor]: Taking taylor expansion of -1 in f 1.951 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.951 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.951 * [taylor]: Taking taylor expansion of f in f 1.952 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.952 * [taylor]: Taking taylor expansion of n in f 1.952 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.952 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.952 * [taylor]: Taking taylor expansion of f in f 1.952 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.952 * [taylor]: Taking taylor expansion of n in f 1.954 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.954 * [taylor]: Taking taylor expansion of -1 in n 1.957 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 1.957 * [taylor]: Taking taylor expansion of 2 in n 1.957 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 1.957 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.957 * [taylor]: Taking taylor expansion of -1 in n 1.958 * [taylor]: Taking taylor expansion of n in n 1.964 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 1.964 * [taylor]: Taking taylor expansion of 2 in n 1.964 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 1.964 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.964 * [taylor]: Taking taylor expansion of -1 in n 1.965 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.965 * [taylor]: Taking taylor expansion of n in n 1.980 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 1.980 * [taylor]: Taking taylor expansion of 2 in n 1.980 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 1.980 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.980 * [taylor]: Taking taylor expansion of -1 in n 1.980 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.980 * [taylor]: Taking taylor expansion of n in n 1.989 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.989 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.989 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.989 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.989 * [taylor]: Taking taylor expansion of f in n 1.989 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.989 * [taylor]: Taking taylor expansion of n in n 1.989 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.989 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.989 * [taylor]: Taking taylor expansion of n in n 1.989 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.989 * [taylor]: Taking taylor expansion of f in n 1.990 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.990 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.990 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.990 * [taylor]: Taking taylor expansion of f in f 1.991 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.991 * [taylor]: Taking taylor expansion of n in f 1.991 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.991 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.991 * [taylor]: Taking taylor expansion of n in f 1.991 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.991 * [taylor]: Taking taylor expansion of f in f 1.992 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.992 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.992 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.992 * [taylor]: Taking taylor expansion of f in f 1.992 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.992 * [taylor]: Taking taylor expansion of n in f 1.992 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.992 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.992 * [taylor]: Taking taylor expansion of n in f 1.992 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.992 * [taylor]: Taking taylor expansion of f in f 1.994 * [taylor]: Taking taylor expansion of -1 in n 1.995 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.995 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.995 * [taylor]: Taking taylor expansion of 2 in n 1.995 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.995 * [taylor]: Taking taylor expansion of n in n 1.999 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.999 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.999 * [taylor]: Taking taylor expansion of 2 in n 1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.999 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.999 * [taylor]: Taking taylor expansion of n in n 2.006 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.006 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.006 * [taylor]: Taking taylor expansion of 2 in n 2.006 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.006 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.006 * [taylor]: Taking taylor expansion of n in n 2.012 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.012 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in (f n) around 0 2.012 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in n 2.012 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.012 * [taylor]: Taking taylor expansion of -1 in n 2.012 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.012 * [taylor]: Taking taylor expansion of (+ n f) in n 2.012 * [taylor]: Taking taylor expansion of n in n 2.012 * [taylor]: Taking taylor expansion of f in n 2.012 * [taylor]: Taking taylor expansion of (- f n) in n 2.012 * [taylor]: Taking taylor expansion of f in n 2.012 * [taylor]: Taking taylor expansion of n in n 2.013 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 2.013 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.013 * [taylor]: Taking taylor expansion of -1 in f 2.013 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.013 * [taylor]: Taking taylor expansion of (+ n f) in f 2.013 * [taylor]: Taking taylor expansion of n in f 2.013 * [taylor]: Taking taylor expansion of f in f 2.013 * [taylor]: Taking taylor expansion of (- f n) in f 2.013 * [taylor]: Taking taylor expansion of f in f 2.013 * [taylor]: Taking taylor expansion of n in f 2.013 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 2.013 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.013 * [taylor]: Taking taylor expansion of -1 in f 2.013 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.013 * [taylor]: Taking taylor expansion of (+ n f) in f 2.013 * [taylor]: Taking taylor expansion of n in f 2.013 * [taylor]: Taking taylor expansion of f in f 2.013 * [taylor]: Taking taylor expansion of (- f n) in f 2.013 * [taylor]: Taking taylor expansion of f in f 2.013 * [taylor]: Taking taylor expansion of n in f 2.014 * [taylor]: Taking taylor expansion of 1 in n 2.015 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 2.015 * [taylor]: Taking taylor expansion of 6 in n 2.015 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.015 * [taylor]: Taking taylor expansion of n in n 2.018 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 2.018 * [taylor]: Taking taylor expansion of 18 in n 2.018 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.018 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.018 * [taylor]: Taking taylor expansion of n in n 2.024 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 2.025 * [taylor]: Taking taylor expansion of 38 in n 2.025 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.025 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.025 * [taylor]: Taking taylor expansion of n in n 2.030 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in (f n) around 0 2.030 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in n 2.030 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.030 * [taylor]: Taking taylor expansion of -1 in n 2.030 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.030 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.030 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.031 * [taylor]: Taking taylor expansion of f in n 2.031 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.031 * [taylor]: Taking taylor expansion of n in n 2.031 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.031 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.031 * [taylor]: Taking taylor expansion of f in n 2.031 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.031 * [taylor]: Taking taylor expansion of n in n 2.032 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 2.032 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.032 * [taylor]: Taking taylor expansion of -1 in f 2.032 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.032 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.032 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.032 * [taylor]: Taking taylor expansion of f in f 2.033 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.033 * [taylor]: Taking taylor expansion of n in f 2.033 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.033 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.033 * [taylor]: Taking taylor expansion of f in f 2.033 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.033 * [taylor]: Taking taylor expansion of n in f 2.034 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 2.034 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.034 * [taylor]: Taking taylor expansion of -1 in f 2.034 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.034 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.034 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.034 * [taylor]: Taking taylor expansion of f in f 2.035 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.035 * [taylor]: Taking taylor expansion of n in f 2.035 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.035 * [taylor]: Taking taylor expansion of f in f 2.035 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.035 * [taylor]: Taking taylor expansion of n in f 2.036 * [taylor]: Taking taylor expansion of -1 in n 2.038 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 2.038 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 2.038 * [taylor]: Taking taylor expansion of 6 in n 2.038 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.038 * [taylor]: Taking taylor expansion of n in n 2.043 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 2.043 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 2.043 * [taylor]: Taking taylor expansion of 18 in n 2.043 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.043 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.043 * [taylor]: Taking taylor expansion of n in n 2.052 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 2.052 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 2.052 * [taylor]: Taking taylor expansion of 38 in n 2.052 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.052 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.052 * [taylor]: Taking taylor expansion of n in n 2.061 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in (f n) around 0 2.061 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in n 2.061 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.061 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.061 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.061 * [taylor]: Taking taylor expansion of f in n 2.061 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.061 * [taylor]: Taking taylor expansion of n in n 2.062 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.062 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.062 * [taylor]: Taking taylor expansion of n in n 2.062 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.062 * [taylor]: Taking taylor expansion of f in n 2.063 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 2.063 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.063 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.063 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.063 * [taylor]: Taking taylor expansion of f in f 2.063 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.063 * [taylor]: Taking taylor expansion of n in f 2.063 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.063 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.063 * [taylor]: Taking taylor expansion of n in f 2.063 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.063 * [taylor]: Taking taylor expansion of f in f 2.065 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 2.065 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.065 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.065 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.065 * [taylor]: Taking taylor expansion of f in f 2.065 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.065 * [taylor]: Taking taylor expansion of n in f 2.065 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.065 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.065 * [taylor]: Taking taylor expansion of n in f 2.065 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.065 * [taylor]: Taking taylor expansion of f in f 2.067 * [taylor]: Taking taylor expansion of -1 in n 2.069 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 2.069 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 2.069 * [taylor]: Taking taylor expansion of 6 in n 2.069 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.069 * [taylor]: Taking taylor expansion of n in n 2.073 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 2.073 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 2.073 * [taylor]: Taking taylor expansion of 18 in n 2.073 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.073 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.073 * [taylor]: Taking taylor expansion of n in n 2.081 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 2.081 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 2.081 * [taylor]: Taking taylor expansion of 38 in n 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.081 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.081 * [taylor]: Taking taylor expansion of n in n 2.087 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.087 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.087 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.087 * [taylor]: Taking taylor expansion of -1 in n 2.087 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.087 * [taylor]: Taking taylor expansion of (+ n f) in n 2.087 * [taylor]: Taking taylor expansion of n in n 2.087 * [taylor]: Taking taylor expansion of f in n 2.087 * [taylor]: Taking taylor expansion of (- f n) in n 2.087 * [taylor]: Taking taylor expansion of f in n 2.087 * [taylor]: Taking taylor expansion of n in n 2.088 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.088 * [taylor]: Taking taylor expansion of -1 in f 2.088 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.088 * [taylor]: Taking taylor expansion of (+ n f) in f 2.088 * [taylor]: Taking taylor expansion of n in f 2.088 * [taylor]: Taking taylor expansion of f in f 2.088 * [taylor]: Taking taylor expansion of (- f n) in f 2.088 * [taylor]: Taking taylor expansion of f in f 2.088 * [taylor]: Taking taylor expansion of n in f 2.088 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.088 * [taylor]: Taking taylor expansion of -1 in f 2.088 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.088 * [taylor]: Taking taylor expansion of (+ n f) in f 2.088 * [taylor]: Taking taylor expansion of n in f 2.088 * [taylor]: Taking taylor expansion of f in f 2.088 * [taylor]: Taking taylor expansion of (- f n) in f 2.088 * [taylor]: Taking taylor expansion of f in f 2.088 * [taylor]: Taking taylor expansion of n in f 2.088 * [taylor]: Taking taylor expansion of 1 in n 2.090 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.090 * [taylor]: Taking taylor expansion of 2 in n 2.090 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.090 * [taylor]: Taking taylor expansion of n in n 2.092 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.092 * [taylor]: Taking taylor expansion of 2 in n 2.092 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.092 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.092 * [taylor]: Taking taylor expansion of n in n 2.097 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.097 * [taylor]: Taking taylor expansion of 2 in n 2.097 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.098 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.098 * [taylor]: Taking taylor expansion of n in n 2.103 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.103 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.103 * [taylor]: Taking taylor expansion of -1 in n 2.103 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.103 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.103 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.103 * [taylor]: Taking taylor expansion of f in n 2.103 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.103 * [taylor]: Taking taylor expansion of n in n 2.104 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.104 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.104 * [taylor]: Taking taylor expansion of f in n 2.104 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.104 * [taylor]: Taking taylor expansion of n in n 2.105 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.105 * [taylor]: Taking taylor expansion of -1 in f 2.105 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.105 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.105 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.105 * [taylor]: Taking taylor expansion of f in f 2.105 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.105 * [taylor]: Taking taylor expansion of n in f 2.105 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.106 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.106 * [taylor]: Taking taylor expansion of f in f 2.106 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.106 * [taylor]: Taking taylor expansion of n in f 2.107 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.107 * [taylor]: Taking taylor expansion of -1 in f 2.107 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.107 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.107 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.107 * [taylor]: Taking taylor expansion of f in f 2.107 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.107 * [taylor]: Taking taylor expansion of n in f 2.107 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.107 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.107 * [taylor]: Taking taylor expansion of f in f 2.107 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.107 * [taylor]: Taking taylor expansion of n in f 2.108 * [taylor]: Taking taylor expansion of -1 in n 2.110 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.110 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.110 * [taylor]: Taking taylor expansion of 2 in n 2.110 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.110 * [taylor]: Taking taylor expansion of n in n 2.114 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.114 * [taylor]: Taking taylor expansion of 2 in n 2.114 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.114 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.114 * [taylor]: Taking taylor expansion of n in n 2.122 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.122 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.122 * [taylor]: Taking taylor expansion of 2 in n 2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.122 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.122 * [taylor]: Taking taylor expansion of n in n 2.128 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.128 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.128 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.128 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.128 * [taylor]: Taking taylor expansion of f in n 2.128 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.128 * [taylor]: Taking taylor expansion of n in n 2.128 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.128 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.128 * [taylor]: Taking taylor expansion of n in n 2.128 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.128 * [taylor]: Taking taylor expansion of f in n 2.129 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.129 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.129 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.129 * [taylor]: Taking taylor expansion of f in f 2.130 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.130 * [taylor]: Taking taylor expansion of n in f 2.130 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.130 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.130 * [taylor]: Taking taylor expansion of n in f 2.130 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.130 * [taylor]: Taking taylor expansion of f in f 2.131 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.131 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.131 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.131 * [taylor]: Taking taylor expansion of f in f 2.131 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.131 * [taylor]: Taking taylor expansion of n in f 2.131 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.131 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.131 * [taylor]: Taking taylor expansion of n in f 2.131 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.131 * [taylor]: Taking taylor expansion of f in f 2.133 * [taylor]: Taking taylor expansion of -1 in n 2.134 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.134 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.134 * [taylor]: Taking taylor expansion of 2 in n 2.134 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.134 * [taylor]: Taking taylor expansion of n in n 2.138 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.138 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.138 * [taylor]: Taking taylor expansion of 2 in n 2.138 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.138 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.138 * [taylor]: Taking taylor expansion of n in n 2.147 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.147 * [taylor]: Taking taylor expansion of 2 in n 2.148 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.148 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.148 * [taylor]: Taking taylor expansion of n in n 2.153 * * * [progress]: simplifying candidates 2.163 * [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 (* 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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 1 -1 -1 1 -1 -1 2.252 * * * [progress]: adding candidates to table 2.776 * [progress]: [Phase 3 of 3] Extracting. 2.776 * * [regime]: Finding splitpoints for: (# # #) 2.777 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 2.778 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 2.794 * * * * [regimes]: Trying to branch on n from (# # #) 2.807 * * * * [regimes]: Trying to branch on f from (# # #) 2.821 * * * [regime]: Found split indices: #