0.858 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.268 * * * [progress]: [2/2] Setting up program. 0.271 * [progress]: [Phase 2 of 3] Improving. 0.273 * [simplify]: Simplifying using # : (/ (- (+ f n)) (- f n)) 0.277 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.278 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.280 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.281 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.282 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.284 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.285 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.285 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.287 * * [progress]: iteration 1 / 4 0.287 * * * [progress]: picking best candidate 0.288 * * * * [pick]: Picked # 0.288 * * * [progress]: localizing error 0.296 * * * [progress]: generating rewritten candidates 0.296 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.314 * * * [progress]: generating series expansions 0.314 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.318 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.319 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.319 * [taylor]: Taking taylor expansion of -1 in n 0.319 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.319 * [taylor]: Taking taylor expansion of (+ n f) in n 0.319 * [taylor]: Taking taylor expansion of n in n 0.319 * [taylor]: Taking taylor expansion of f in n 0.320 * [taylor]: Taking taylor expansion of (- f n) in n 0.320 * [taylor]: Taking taylor expansion of f in n 0.320 * [taylor]: Taking taylor expansion of n in n 0.320 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.320 * [taylor]: Taking taylor expansion of -1 in f 0.320 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.320 * [taylor]: Taking taylor expansion of (+ n f) in f 0.320 * [taylor]: Taking taylor expansion of n in f 0.320 * [taylor]: Taking taylor expansion of f in f 0.320 * [taylor]: Taking taylor expansion of (- f n) in f 0.320 * [taylor]: Taking taylor expansion of f in f 0.320 * [taylor]: Taking taylor expansion of n in f 0.321 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.321 * [taylor]: Taking taylor expansion of -1 in f 0.321 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.321 * [taylor]: Taking taylor expansion of (+ n f) in f 0.321 * [taylor]: Taking taylor expansion of n in f 0.321 * [taylor]: Taking taylor expansion of f in f 0.321 * [taylor]: Taking taylor expansion of (- f n) in f 0.321 * [taylor]: Taking taylor expansion of f in f 0.321 * [taylor]: Taking taylor expansion of n in f 0.322 * [taylor]: Taking taylor expansion of 1 in n 0.323 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.323 * [taylor]: Taking taylor expansion of 2 in n 0.323 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.323 * [taylor]: Taking taylor expansion of n in n 0.326 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.326 * [taylor]: Taking taylor expansion of 2 in n 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.326 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.326 * [taylor]: Taking taylor expansion of n in n 0.332 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.332 * [taylor]: Taking taylor expansion of 2 in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.332 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.338 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.338 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.338 * [taylor]: Taking taylor expansion of -1 in n 0.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.338 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.338 * [taylor]: Taking taylor expansion of f in n 0.338 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.338 * [taylor]: Taking taylor expansion of n in n 0.339 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.339 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.339 * [taylor]: Taking taylor expansion of f in n 0.339 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.339 * [taylor]: Taking taylor expansion of n in n 0.340 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.340 * [taylor]: Taking taylor expansion of -1 in f 0.340 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.340 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.340 * [taylor]: Taking taylor expansion of f in f 0.340 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.340 * [taylor]: Taking taylor expansion of n in f 0.340 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.340 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.340 * [taylor]: Taking taylor expansion of f in f 0.341 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.341 * [taylor]: Taking taylor expansion of n in f 0.341 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.341 * [taylor]: Taking taylor expansion of -1 in f 0.341 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.341 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.341 * [taylor]: Taking taylor expansion of f in f 0.342 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.342 * [taylor]: Taking taylor expansion of n in f 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.342 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.342 * [taylor]: Taking taylor expansion of f in f 0.342 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.342 * [taylor]: Taking taylor expansion of n in f 0.343 * [taylor]: Taking taylor expansion of -1 in n 0.345 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.345 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.345 * [taylor]: Taking taylor expansion of 2 in n 0.345 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.345 * [taylor]: Taking taylor expansion of n in n 0.349 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.349 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.349 * [taylor]: Taking taylor expansion of 2 in n 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.349 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.349 * [taylor]: Taking taylor expansion of n in n 0.357 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.357 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.357 * [taylor]: Taking taylor expansion of 2 in n 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.357 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.357 * [taylor]: Taking taylor expansion of n in n 0.373 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.373 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.373 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.373 * [taylor]: Taking taylor expansion of f in n 0.373 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.373 * [taylor]: Taking taylor expansion of n in n 0.373 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.373 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.373 * [taylor]: Taking taylor expansion of n in n 0.374 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.374 * [taylor]: Taking taylor expansion of f in n 0.375 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.375 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.375 * [taylor]: Taking taylor expansion of f in f 0.375 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.375 * [taylor]: Taking taylor expansion of n in f 0.375 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.375 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.375 * [taylor]: Taking taylor expansion of n in f 0.375 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.375 * [taylor]: Taking taylor expansion of f in f 0.377 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.377 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.377 * [taylor]: Taking taylor expansion of f in f 0.377 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.377 * [taylor]: Taking taylor expansion of n in f 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.377 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.377 * [taylor]: Taking taylor expansion of n in f 0.377 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.377 * [taylor]: Taking taylor expansion of f in f 0.379 * [taylor]: Taking taylor expansion of -1 in n 0.380 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.380 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.380 * [taylor]: Taking taylor expansion of 2 in n 0.380 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.380 * [taylor]: Taking taylor expansion of n in n 0.384 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.384 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.384 * [taylor]: Taking taylor expansion of 2 in n 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.384 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.384 * [taylor]: Taking taylor expansion of n in n 0.391 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.391 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.391 * [taylor]: Taking taylor expansion of 2 in n 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.391 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.391 * [taylor]: Taking taylor expansion of n in n 0.397 * * * [progress]: simplifying candidates 0.399 * [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 0.404 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.409 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.422 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 0.459 * * [simplify]: iteration 3 : 5001 enodes (cost 743 ) 0.463 * [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 0.464 * * * [progress]: adding candidates to table 0.616 * * [progress]: iteration 2 / 4 0.617 * * * [progress]: picking best candidate 0.621 * * * * [pick]: Picked # 0.621 * * * [progress]: localizing error 0.627 * * * [progress]: generating rewritten candidates 0.627 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.636 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.656 * * * [progress]: generating series expansions 0.656 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.656 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 0.656 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 0.656 * [taylor]: Taking taylor expansion of (- f n) in n 0.656 * [taylor]: Taking taylor expansion of f in n 0.656 * [taylor]: Taking taylor expansion of n in n 0.656 * [taylor]: Taking taylor expansion of (+ n f) in n 0.656 * [taylor]: Taking taylor expansion of n in n 0.656 * [taylor]: Taking taylor expansion of f in n 0.657 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.657 * [taylor]: Taking taylor expansion of (- f n) in f 0.657 * [taylor]: Taking taylor expansion of f in f 0.657 * [taylor]: Taking taylor expansion of n in f 0.657 * [taylor]: Taking taylor expansion of (+ n f) in f 0.657 * [taylor]: Taking taylor expansion of n in f 0.657 * [taylor]: Taking taylor expansion of f in f 0.657 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.657 * [taylor]: Taking taylor expansion of (- f n) in f 0.657 * [taylor]: Taking taylor expansion of f in f 0.657 * [taylor]: Taking taylor expansion of n in f 0.657 * [taylor]: Taking taylor expansion of (+ n f) in f 0.657 * [taylor]: Taking taylor expansion of n in f 0.657 * [taylor]: Taking taylor expansion of f in f 0.657 * [taylor]: Taking taylor expansion of -1 in n 0.658 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.658 * [taylor]: Taking taylor expansion of 2 in n 0.658 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.658 * [taylor]: Taking taylor expansion of n in n 0.660 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.660 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.660 * [taylor]: Taking taylor expansion of 2 in n 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.660 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.660 * [taylor]: Taking taylor expansion of n in n 0.670 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.671 * [taylor]: Taking taylor expansion of 2 in n 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.671 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.671 * [taylor]: Taking taylor expansion of n in n 0.676 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 0.676 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 0.677 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.677 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.677 * [taylor]: Taking taylor expansion of f in n 0.677 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.677 * [taylor]: Taking taylor expansion of n in n 0.677 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.677 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.677 * [taylor]: Taking taylor expansion of f in n 0.677 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.677 * [taylor]: Taking taylor expansion of n in n 0.678 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.678 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.678 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.678 * [taylor]: Taking taylor expansion of f in f 0.679 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.679 * [taylor]: Taking taylor expansion of n in f 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.679 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.679 * [taylor]: Taking taylor expansion of f in f 0.679 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.679 * [taylor]: Taking taylor expansion of n in f 0.680 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.680 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.680 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.680 * [taylor]: Taking taylor expansion of f in f 0.680 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.680 * [taylor]: Taking taylor expansion of n in f 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.680 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.680 * [taylor]: Taking taylor expansion of f in f 0.680 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.680 * [taylor]: Taking taylor expansion of n in f 0.681 * [taylor]: Taking taylor expansion of 1 in n 0.682 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.682 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.682 * [taylor]: Taking taylor expansion of 2 in n 0.682 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.682 * [taylor]: Taking taylor expansion of n in n 0.686 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.686 * [taylor]: Taking taylor expansion of 2 in n 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.686 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.686 * [taylor]: Taking taylor expansion of n in n 0.693 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.693 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.693 * [taylor]: Taking taylor expansion of 2 in n 0.693 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.693 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.693 * [taylor]: Taking taylor expansion of n in n 0.699 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 0.699 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 0.699 * [taylor]: Taking taylor expansion of -1 in n 0.699 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 0.699 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.699 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.699 * [taylor]: Taking taylor expansion of n in n 0.700 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.700 * [taylor]: Taking taylor expansion of f in n 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.700 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.700 * [taylor]: Taking taylor expansion of f in n 0.700 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.700 * [taylor]: Taking taylor expansion of n in n 0.701 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.701 * [taylor]: Taking taylor expansion of -1 in f 0.701 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.701 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.701 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.701 * [taylor]: Taking taylor expansion of n in f 0.701 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.701 * [taylor]: Taking taylor expansion of f in f 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.701 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.701 * [taylor]: Taking taylor expansion of f in f 0.701 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.701 * [taylor]: Taking taylor expansion of n in f 0.703 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.703 * [taylor]: Taking taylor expansion of -1 in f 0.703 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.703 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.703 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.703 * [taylor]: Taking taylor expansion of n in f 0.703 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.703 * [taylor]: Taking taylor expansion of f in f 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.703 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.703 * [taylor]: Taking taylor expansion of f in f 0.703 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.703 * [taylor]: Taking taylor expansion of n in f 0.705 * [taylor]: Taking taylor expansion of 1 in n 0.706 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.706 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.706 * [taylor]: Taking taylor expansion of 2 in n 0.706 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.706 * [taylor]: Taking taylor expansion of n in n 0.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.710 * [taylor]: Taking taylor expansion of 2 in n 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.710 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.710 * [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 (/ 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 0.718 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.718 * [taylor]: Taking taylor expansion of n in n 0.724 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.724 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.724 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.724 * [taylor]: Taking taylor expansion of -1 in n 0.724 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.724 * [taylor]: Taking taylor expansion of (+ n f) in n 0.724 * [taylor]: Taking taylor expansion of n in n 0.724 * [taylor]: Taking taylor expansion of f in n 0.724 * [taylor]: Taking taylor expansion of (- f n) in n 0.724 * [taylor]: Taking taylor expansion of f in n 0.724 * [taylor]: Taking taylor expansion of n in n 0.724 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.724 * [taylor]: Taking taylor expansion of -1 in f 0.724 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.724 * [taylor]: Taking taylor expansion of (+ n f) in f 0.724 * [taylor]: Taking taylor expansion of n in f 0.724 * [taylor]: Taking taylor expansion of f in f 0.724 * [taylor]: Taking taylor expansion of (- f n) in f 0.724 * [taylor]: Taking taylor expansion of f in f 0.725 * [taylor]: Taking taylor expansion of n in f 0.725 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.725 * [taylor]: Taking taylor expansion of -1 in f 0.725 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.725 * [taylor]: Taking taylor expansion of (+ n f) in f 0.725 * [taylor]: Taking taylor expansion of n in f 0.725 * [taylor]: Taking taylor expansion of f in f 0.725 * [taylor]: Taking taylor expansion of (- f n) in f 0.725 * [taylor]: Taking taylor expansion of f in f 0.725 * [taylor]: Taking taylor expansion of n in f 0.725 * [taylor]: Taking taylor expansion of 1 in n 0.726 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.726 * [taylor]: Taking taylor expansion of 2 in n 0.726 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.726 * [taylor]: Taking taylor expansion of n in n 0.729 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.729 * [taylor]: Taking taylor expansion of 2 in n 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.729 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.729 * [taylor]: Taking taylor expansion of n in n 0.734 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.734 * [taylor]: Taking taylor expansion of 2 in n 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.734 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.734 * [taylor]: Taking taylor expansion of n in n 0.740 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.740 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.740 * [taylor]: Taking taylor expansion of -1 in n 0.740 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.740 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.740 * [taylor]: Taking taylor expansion of f in n 0.740 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.740 * [taylor]: Taking taylor expansion of n in n 0.740 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.740 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.740 * [taylor]: Taking taylor expansion of f in n 0.740 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.740 * [taylor]: Taking taylor expansion of n in n 0.742 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.742 * [taylor]: Taking taylor expansion of -1 in f 0.742 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.742 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.742 * [taylor]: Taking taylor expansion of f in f 0.742 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.742 * [taylor]: Taking taylor expansion of n in f 0.742 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.742 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.742 * [taylor]: Taking taylor expansion of f in f 0.742 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.742 * [taylor]: Taking taylor expansion of n in f 0.743 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.743 * [taylor]: Taking taylor expansion of -1 in f 0.743 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.743 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.743 * [taylor]: Taking taylor expansion of f in f 0.743 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.743 * [taylor]: Taking taylor expansion of n in f 0.744 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.744 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.744 * [taylor]: Taking taylor expansion of f in f 0.744 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.744 * [taylor]: Taking taylor expansion of n in f 0.745 * [taylor]: Taking taylor expansion of -1 in n 0.746 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.746 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.746 * [taylor]: Taking taylor expansion of 2 in n 0.746 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.746 * [taylor]: Taking taylor expansion of n in n 0.751 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.751 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.751 * [taylor]: Taking taylor expansion of 2 in n 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.751 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.751 * [taylor]: Taking taylor expansion of n in n 0.762 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.762 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.762 * [taylor]: Taking taylor expansion of 2 in n 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.762 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.762 * [taylor]: Taking taylor expansion of n in n 0.767 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.768 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.768 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.768 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.768 * [taylor]: Taking taylor expansion of f in n 0.768 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.768 * [taylor]: Taking taylor expansion of n in n 0.768 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.768 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.768 * [taylor]: Taking taylor expansion of n in n 0.768 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.768 * [taylor]: Taking taylor expansion of f in n 0.769 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.769 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.769 * [taylor]: Taking taylor expansion of f in f 0.769 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.769 * [taylor]: Taking taylor expansion of n in f 0.769 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.769 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.769 * [taylor]: Taking taylor expansion of n in f 0.769 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.769 * [taylor]: Taking taylor expansion of f in f 0.771 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.771 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.771 * [taylor]: Taking taylor expansion of f in f 0.771 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.771 * [taylor]: Taking taylor expansion of n in f 0.771 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.771 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.771 * [taylor]: Taking taylor expansion of n in f 0.771 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.771 * [taylor]: Taking taylor expansion of f in f 0.772 * [taylor]: Taking taylor expansion of -1 in n 0.774 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.774 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.774 * [taylor]: Taking taylor expansion of 2 in n 0.774 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.774 * [taylor]: Taking taylor expansion of n in n 0.777 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.777 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.777 * [taylor]: Taking taylor expansion of 2 in n 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.777 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.777 * [taylor]: Taking taylor expansion of n in n 0.784 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.784 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.784 * [taylor]: Taking taylor expansion of 2 in n 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.785 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.785 * [taylor]: Taking taylor expansion of n in n 0.790 * * * [progress]: simplifying candidates 0.793 * [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 0.801 * * [simplify]: iteration 0 : 532 enodes (cost 1466 ) 0.811 * * [simplify]: iteration 1 : 2571 enodes (cost 1420 ) 0.859 * * [simplify]: iteration 2 : 5001 enodes (cost 1301 ) 0.871 * [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 0.873 * * * [progress]: adding candidates to table 1.121 * * [progress]: iteration 3 / 4 1.122 * * * [progress]: picking best candidate 1.125 * * * * [pick]: Picked # 1.125 * * * [progress]: localizing error 1.134 * * * [progress]: generating rewritten candidates 1.134 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.149 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 1.158 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.205 * * * [progress]: generating series expansions 1.205 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.205 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in (f n) around 0 1.206 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in n 1.206 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.206 * [taylor]: Taking taylor expansion of -1 in n 1.206 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.206 * [taylor]: Taking taylor expansion of (+ n f) in n 1.206 * [taylor]: Taking taylor expansion of n in n 1.206 * [taylor]: Taking taylor expansion of f in n 1.206 * [taylor]: Taking taylor expansion of (- f n) in n 1.206 * [taylor]: Taking taylor expansion of f in n 1.206 * [taylor]: Taking taylor expansion of n in n 1.206 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 1.207 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.207 * [taylor]: Taking taylor expansion of -1 in f 1.207 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.207 * [taylor]: Taking taylor expansion of (+ n f) in f 1.207 * [taylor]: Taking taylor expansion of n in f 1.207 * [taylor]: Taking taylor expansion of f in f 1.207 * [taylor]: Taking taylor expansion of (- f n) in f 1.207 * [taylor]: Taking taylor expansion of f in f 1.207 * [taylor]: Taking taylor expansion of n in f 1.207 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 1.207 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.207 * [taylor]: Taking taylor expansion of -1 in f 1.207 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.207 * [taylor]: Taking taylor expansion of (+ n f) in f 1.207 * [taylor]: Taking taylor expansion of n in f 1.207 * [taylor]: Taking taylor expansion of f in f 1.207 * [taylor]: Taking taylor expansion of (- f n) in f 1.207 * [taylor]: Taking taylor expansion of f in f 1.207 * [taylor]: Taking taylor expansion of n in f 1.208 * [taylor]: Taking taylor expansion of 1 in n 1.209 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 1.209 * [taylor]: Taking taylor expansion of 6 in n 1.209 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.209 * [taylor]: Taking taylor expansion of n in n 1.212 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 1.212 * [taylor]: Taking taylor expansion of 18 in n 1.212 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.212 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.212 * [taylor]: Taking taylor expansion of n in n 1.218 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 1.218 * [taylor]: Taking taylor expansion of 38 in n 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.218 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.218 * [taylor]: Taking taylor expansion of n in n 1.224 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in (f n) around 0 1.224 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in n 1.224 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.224 * [taylor]: Taking taylor expansion of -1 in n 1.224 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.224 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.224 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.225 * [taylor]: Taking taylor expansion of f in n 1.225 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.225 * [taylor]: Taking taylor expansion of n in n 1.225 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.225 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.225 * [taylor]: Taking taylor expansion of f in n 1.225 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.225 * [taylor]: Taking taylor expansion of n in n 1.227 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 1.227 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.227 * [taylor]: Taking taylor expansion of -1 in f 1.227 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.227 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.227 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.227 * [taylor]: Taking taylor expansion of f in f 1.227 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.227 * [taylor]: Taking taylor expansion of n in f 1.227 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.227 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.227 * [taylor]: Taking taylor expansion of f in f 1.228 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.228 * [taylor]: Taking taylor expansion of n in f 1.229 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 1.229 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.229 * [taylor]: Taking taylor expansion of -1 in f 1.229 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.229 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.229 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.229 * [taylor]: Taking taylor expansion of f in f 1.229 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.229 * [taylor]: Taking taylor expansion of n in f 1.229 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.229 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.229 * [taylor]: Taking taylor expansion of f in f 1.229 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.229 * [taylor]: Taking taylor expansion of n in f 1.231 * [taylor]: Taking taylor expansion of -1 in n 1.232 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 1.232 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 1.233 * [taylor]: Taking taylor expansion of 6 in n 1.233 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.233 * [taylor]: Taking taylor expansion of n in n 1.243 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 1.243 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 1.243 * [taylor]: Taking taylor expansion of 18 in n 1.243 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.243 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.243 * [taylor]: Taking taylor expansion of n in n 1.252 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 1.252 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 1.252 * [taylor]: Taking taylor expansion of 38 in n 1.252 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.252 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.252 * [taylor]: Taking taylor expansion of n in n 1.258 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in (f n) around 0 1.258 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in n 1.258 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.258 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.258 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.258 * [taylor]: Taking taylor expansion of f in n 1.258 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.258 * [taylor]: Taking taylor expansion of n in n 1.258 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.258 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.258 * [taylor]: Taking taylor expansion of n in n 1.258 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.258 * [taylor]: Taking taylor expansion of f in n 1.259 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 1.259 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.259 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.259 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.259 * [taylor]: Taking taylor expansion of f in f 1.259 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.259 * [taylor]: Taking taylor expansion of n in f 1.259 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.260 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.260 * [taylor]: Taking taylor expansion of n in f 1.260 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.260 * [taylor]: Taking taylor expansion of f in f 1.261 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 1.261 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.261 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.261 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.261 * [taylor]: Taking taylor expansion of f in f 1.261 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.261 * [taylor]: Taking taylor expansion of n in f 1.261 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.261 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.261 * [taylor]: Taking taylor expansion of n in f 1.261 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.261 * [taylor]: Taking taylor expansion of f in f 1.263 * [taylor]: Taking taylor expansion of -1 in n 1.264 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 1.264 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 1.264 * [taylor]: Taking taylor expansion of 6 in n 1.264 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.264 * [taylor]: Taking taylor expansion of n in n 1.269 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 1.269 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 1.269 * [taylor]: Taking taylor expansion of 18 in n 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.269 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.269 * [taylor]: Taking taylor expansion of n in n 1.277 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 1.277 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 1.277 * [taylor]: Taking taylor expansion of 38 in n 1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.277 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.277 * [taylor]: Taking taylor expansion of n in n 1.283 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 1.283 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.283 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.283 * [taylor]: Taking taylor expansion of -1 in n 1.283 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.283 * [taylor]: Taking taylor expansion of (+ n f) in n 1.283 * [taylor]: Taking taylor expansion of n in n 1.283 * [taylor]: Taking taylor expansion of f in n 1.283 * [taylor]: Taking taylor expansion of (- f n) in n 1.283 * [taylor]: Taking taylor expansion of f in n 1.283 * [taylor]: Taking taylor expansion of n in n 1.284 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.284 * [taylor]: Taking taylor expansion of -1 in f 1.284 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.284 * [taylor]: Taking taylor expansion of (+ n f) in f 1.284 * [taylor]: Taking taylor expansion of n in f 1.284 * [taylor]: Taking taylor expansion of f in f 1.284 * [taylor]: Taking taylor expansion of (- f n) in f 1.284 * [taylor]: Taking taylor expansion of f in f 1.284 * [taylor]: Taking taylor expansion of n in f 1.284 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.284 * [taylor]: Taking taylor expansion of -1 in f 1.284 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.284 * [taylor]: Taking taylor expansion of (+ n f) in f 1.284 * [taylor]: Taking taylor expansion of n in f 1.284 * [taylor]: Taking taylor expansion of f in f 1.284 * [taylor]: Taking taylor expansion of (- f n) in f 1.284 * [taylor]: Taking taylor expansion of f in f 1.284 * [taylor]: Taking taylor expansion of n in f 1.284 * [taylor]: Taking taylor expansion of 1 in n 1.286 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.286 * [taylor]: Taking taylor expansion of 2 in n 1.286 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.286 * [taylor]: Taking taylor expansion of n in n 1.288 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.288 * [taylor]: Taking taylor expansion of 2 in n 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.288 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.288 * [taylor]: Taking taylor expansion of n in n 1.293 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.294 * [taylor]: Taking taylor expansion of 2 in n 1.294 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.294 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.294 * [taylor]: Taking taylor expansion of n in n 1.299 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.299 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.299 * [taylor]: Taking taylor expansion of -1 in n 1.299 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.299 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.299 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.299 * [taylor]: Taking taylor expansion of f in n 1.299 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.299 * [taylor]: Taking taylor expansion of n in n 1.299 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.299 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.299 * [taylor]: Taking taylor expansion of f in n 1.300 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.300 * [taylor]: Taking taylor expansion of n in n 1.301 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.301 * [taylor]: Taking taylor expansion of -1 in f 1.301 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.301 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.301 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.301 * [taylor]: Taking taylor expansion of f in f 1.301 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.301 * [taylor]: Taking taylor expansion of n in f 1.301 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.301 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.301 * [taylor]: Taking taylor expansion of f in f 1.302 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.302 * [taylor]: Taking taylor expansion of n in f 1.303 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.303 * [taylor]: Taking taylor expansion of -1 in f 1.303 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.303 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.303 * [taylor]: Taking taylor expansion of f in f 1.304 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.304 * [taylor]: Taking taylor expansion of n in f 1.304 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.304 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.304 * [taylor]: Taking taylor expansion of f in f 1.304 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.304 * [taylor]: Taking taylor expansion of n in f 1.305 * [taylor]: Taking taylor expansion of -1 in n 1.307 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.307 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.307 * [taylor]: Taking taylor expansion of 2 in n 1.307 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.307 * [taylor]: Taking taylor expansion of n in n 1.311 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.311 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.311 * [taylor]: Taking taylor expansion of 2 in n 1.311 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.311 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.311 * [taylor]: Taking taylor expansion of n in n 1.318 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.318 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.318 * [taylor]: Taking taylor expansion of 2 in n 1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.318 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.318 * [taylor]: Taking taylor expansion of n in n 1.327 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.327 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.327 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.327 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.327 * [taylor]: Taking taylor expansion of f in n 1.327 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.327 * [taylor]: Taking taylor expansion of n in n 1.327 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.327 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.327 * [taylor]: Taking taylor expansion of n in n 1.327 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.327 * [taylor]: Taking taylor expansion of f in n 1.328 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.328 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.328 * [taylor]: Taking taylor expansion of f in f 1.328 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.328 * [taylor]: Taking taylor expansion of n in f 1.329 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.329 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.329 * [taylor]: Taking taylor expansion of n in f 1.329 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.329 * [taylor]: Taking taylor expansion of f in f 1.330 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.330 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.330 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.330 * [taylor]: Taking taylor expansion of f in f 1.330 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.330 * [taylor]: Taking taylor expansion of n in f 1.330 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.330 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.330 * [taylor]: Taking taylor expansion of n in f 1.330 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.330 * [taylor]: Taking taylor expansion of f in f 1.332 * [taylor]: Taking taylor expansion of -1 in n 1.333 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.333 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.333 * [taylor]: Taking taylor expansion of 2 in n 1.333 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.333 * [taylor]: Taking taylor expansion of n in n 1.336 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.336 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.336 * [taylor]: Taking taylor expansion of 2 in n 1.337 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.337 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.337 * [taylor]: Taking taylor expansion of n in n 1.344 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.344 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.344 * [taylor]: Taking taylor expansion of 2 in n 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.344 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.344 * [taylor]: Taking taylor expansion of n in n 1.349 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.350 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 1.350 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 1.350 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 1.350 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.350 * [taylor]: Taking taylor expansion of -1 in n 1.351 * [taylor]: Taking taylor expansion of (+ n f) in n 1.351 * [taylor]: Taking taylor expansion of n in n 1.351 * [taylor]: Taking taylor expansion of f in n 1.351 * [taylor]: Taking taylor expansion of (- f n) in n 1.351 * [taylor]: Taking taylor expansion of f in n 1.351 * [taylor]: Taking taylor expansion of n in n 1.352 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 1.352 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 1.352 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.352 * [taylor]: Taking taylor expansion of -1 in f 1.353 * [taylor]: Taking taylor expansion of (+ n f) in f 1.353 * [taylor]: Taking taylor expansion of n in f 1.353 * [taylor]: Taking taylor expansion of f in f 1.353 * [taylor]: Taking taylor expansion of (- f n) in f 1.353 * [taylor]: Taking taylor expansion of f in f 1.353 * [taylor]: Taking taylor expansion of n in f 1.353 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 1.353 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 1.353 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.353 * [taylor]: Taking taylor expansion of -1 in f 1.354 * [taylor]: Taking taylor expansion of (+ n f) in f 1.354 * [taylor]: Taking taylor expansion of n in f 1.354 * [taylor]: Taking taylor expansion of f in f 1.354 * [taylor]: Taking taylor expansion of (- f n) in f 1.354 * [taylor]: Taking taylor expansion of f in f 1.354 * [taylor]: Taking taylor expansion of n in f 1.355 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 1.355 * [taylor]: Taking taylor expansion of -1 in n 1.355 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.355 * [taylor]: Taking taylor expansion of -1 in n 1.359 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 1.359 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 1.359 * [taylor]: Taking taylor expansion of 2 in n 1.359 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 1.359 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.359 * [taylor]: Taking taylor expansion of -1 in n 1.360 * [taylor]: Taking taylor expansion of n in n 1.365 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 1.365 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 1.365 * [taylor]: Taking taylor expansion of 2 in n 1.365 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 1.366 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.366 * [taylor]: Taking taylor expansion of -1 in n 1.366 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.366 * [taylor]: Taking taylor expansion of n in n 1.378 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 1.378 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 1.378 * [taylor]: Taking taylor expansion of 2 in n 1.378 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 1.378 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.378 * [taylor]: Taking taylor expansion of -1 in n 1.379 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.379 * [taylor]: Taking taylor expansion of n in n 1.388 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 1.388 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n 1.388 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in n 1.388 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.388 * [taylor]: Taking taylor expansion of -1 in n 1.389 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.389 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.389 * [taylor]: Taking taylor expansion of f in n 1.389 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.389 * [taylor]: Taking taylor expansion of n in n 1.389 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.389 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.389 * [taylor]: Taking taylor expansion of f in n 1.389 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.389 * [taylor]: Taking taylor expansion of n in n 1.391 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 1.391 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 1.391 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.391 * [taylor]: Taking taylor expansion of -1 in f 1.392 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.392 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.392 * [taylor]: Taking taylor expansion of f in f 1.392 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.392 * [taylor]: Taking taylor expansion of n in f 1.392 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.392 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.392 * [taylor]: Taking taylor expansion of f in f 1.393 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.393 * [taylor]: Taking taylor expansion of n in f 1.394 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 1.394 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 1.394 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.394 * [taylor]: Taking taylor expansion of -1 in f 1.395 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.395 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.395 * [taylor]: Taking taylor expansion of f in f 1.395 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.395 * [taylor]: Taking taylor expansion of n in f 1.395 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.395 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.395 * [taylor]: Taking taylor expansion of f in f 1.396 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.396 * [taylor]: Taking taylor expansion of n in f 1.397 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.397 * [taylor]: Taking taylor expansion of -1 in n 1.401 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 1.401 * [taylor]: Taking taylor expansion of 2 in n 1.401 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 1.401 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.401 * [taylor]: Taking taylor expansion of -1 in n 1.401 * [taylor]: Taking taylor expansion of n in n 1.410 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 1.410 * [taylor]: Taking taylor expansion of 2 in n 1.410 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 1.410 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.410 * [taylor]: Taking taylor expansion of -1 in n 1.411 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.411 * [taylor]: Taking taylor expansion of n in n 1.423 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 1.423 * [taylor]: Taking taylor expansion of 2 in n 1.423 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 1.423 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.423 * [taylor]: Taking taylor expansion of -1 in n 1.424 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.424 * [taylor]: Taking taylor expansion of n in n 1.433 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.433 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.433 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.433 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.433 * [taylor]: Taking taylor expansion of f in n 1.433 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.433 * [taylor]: Taking taylor expansion of n in n 1.433 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.433 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.433 * [taylor]: Taking taylor expansion of n in n 1.433 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.433 * [taylor]: Taking taylor expansion of f in n 1.434 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.434 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.434 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.434 * [taylor]: Taking taylor expansion of f in f 1.435 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.435 * [taylor]: Taking taylor expansion of n in f 1.435 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.435 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.435 * [taylor]: Taking taylor expansion of n in f 1.435 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.435 * [taylor]: Taking taylor expansion of f in f 1.436 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.436 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.436 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.436 * [taylor]: Taking taylor expansion of f in f 1.436 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.436 * [taylor]: Taking taylor expansion of n in f 1.436 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.436 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.436 * [taylor]: Taking taylor expansion of n in f 1.436 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.436 * [taylor]: Taking taylor expansion of f in f 1.438 * [taylor]: Taking taylor expansion of -1 in n 1.439 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.439 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.439 * [taylor]: Taking taylor expansion of 2 in n 1.439 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.439 * [taylor]: Taking taylor expansion of n in n 1.443 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.443 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.443 * [taylor]: Taking taylor expansion of 2 in n 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.443 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.443 * [taylor]: Taking taylor expansion of n in n 1.450 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.450 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.450 * [taylor]: Taking taylor expansion of 2 in n 1.450 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.450 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.450 * [taylor]: Taking taylor expansion of n in n 1.456 * * * [progress]: simplifying candidates 1.462 * [simplify]: Simplifying using # : (expm1 (pow (/ (- (+ f n)) (- f n)) 3)) (log1p (pow (/ (- (+ f n)) (- f n)) 3)) (* (- (log (- (+ f n))) (log (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) (* 1 3) (pow (/ (- (+ f n)) (- f n)) (* (cbrt 3) (cbrt 3))) (pow (/ (- (+ f n)) (- f n)) (sqrt 3)) (pow (/ (- (+ f n)) (- f n)) 1) (pow (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) 3) (pow (cbrt (/ (- (+ f n)) (- f n))) 3) (pow (sqrt (/ (- (+ f n)) (- f n))) 3) (pow (sqrt (/ (- (+ f n)) (- f n))) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (cbrt (- (+ f n))) (cbrt (- f n))) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) 3) (pow (/ (cbrt (- (+ f n))) (sqrt (- f n))) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) 3) (pow (/ (cbrt (- (+ f n))) (- f n)) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) 3) (pow (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) 3) (pow (/ (cbrt (- (+ f n))) (- f n)) 3) (pow (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (sqrt (- (+ f n))) (cbrt (- f n))) 3) (pow (/ (sqrt (- (+ f n))) (sqrt (- f n))) 3) (pow (/ (sqrt (- (+ f n))) (sqrt (- f n))) 3) (pow (/ (sqrt (- (+ f n))) 1) 3) (pow (/ (sqrt (- (+ f n))) (- f n)) 3) (pow (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) 3) (pow (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) 3) (pow (/ (sqrt (- (+ f n))) 1) 3) (pow (/ (sqrt (- (+ f n))) (- f n)) 3) (pow (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (- (+ f n)) (cbrt (- f n))) 3) (pow (/ 1 (sqrt (- f n))) 3) (pow (/ (- (+ f n)) (sqrt (- f n))) 3) (pow (/ 1 1) 3) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ 1 (+ (sqrt f) (sqrt n))) 3) (pow (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 3) (pow (/ 1 1) 3) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (+ f n) (cbrt (- f n))) 3) (pow (/ -1 (sqrt (- f n))) 3) (pow (/ (+ f n) (sqrt (- f n))) 3) (pow (/ -1 1) 3) (pow (/ (+ f n) (- f n)) 3) (pow (/ -1 (+ (sqrt f) (sqrt n))) 3) (pow (/ (+ f n) (- (sqrt f) (sqrt n))) 3) (pow (/ -1 1) 3) (pow (/ (+ f n) (- f n)) 3) (pow (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (cbrt (+ f n)) (cbrt (- f n))) 3) (pow (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) 3) (pow (/ (cbrt (+ f n)) (sqrt (- f n))) 3) (pow (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) 3) (pow (/ (cbrt (+ f n)) (- f n)) 3) (pow (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) 3) (pow (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) 3) (pow (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) 3) (pow (/ (cbrt (+ f n)) (- f n)) 3) (pow (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (sqrt (+ f n)) (cbrt (- f n))) 3) (pow (/ (- (sqrt (+ f n))) (sqrt (- f n))) 3) (pow (/ (sqrt (+ f n)) (sqrt (- f n))) 3) (pow (/ (- (sqrt (+ f n))) 1) 3) (pow (/ (sqrt (+ f n)) (- f n)) 3) (pow (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) 3) (pow (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) 3) (pow (/ (- (sqrt (+ f n))) 1) 3) (pow (/ (sqrt (+ f n)) (- f n)) 3) (pow (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (+ f n) (cbrt (- f n))) 3) (pow (/ (- 1) (sqrt (- f n))) 3) (pow (/ (+ f n) (sqrt (- f n))) 3) (pow (/ (- 1) 1) 3) (pow (/ (+ f n) (- f n)) 3) (pow (/ (- 1) (+ (sqrt f) (sqrt n))) 3) (pow (/ (+ f n) (- (sqrt f) (sqrt n))) 3) (pow (/ (- 1) 1) 3) (pow (/ (+ f n) (- f n)) 3) (pow (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (+ f n) (cbrt (- f n))) 3) (pow (/ (- 1) (sqrt (- f n))) 3) (pow (/ (+ f n) (sqrt (- f n))) 3) (pow (/ (- 1) 1) 3) (pow (/ (+ f n) (- f n)) 3) (pow (/ (- 1) (+ (sqrt f) (sqrt n))) 3) (pow (/ (+ f n) (- (sqrt f) (sqrt n))) 3) (pow (/ (- 1) 1) 3) (pow (/ (+ f n) (- f n)) 3) (pow (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (- (cbrt (+ f n))) (cbrt (- f n))) 3) (pow (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) 3) (pow (/ (- (cbrt (+ f n))) (sqrt (- f n))) 3) (pow (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) 3) (pow (/ (- (cbrt (+ f n))) (- f n)) 3) (pow (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) 3) (pow (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) 3) (pow (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) 3) (pow (/ (- (cbrt (+ f n))) (- f n)) 3) 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(* (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)) (/ 1 (- f n)) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (fma f f (fma n n (* f n))) (/ (- (+ f n)) (- (* f f) (* n n))) (+ f n) (cbrt (/ (- (+ f n)) (- f n))) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) 1 (/ (- (+ f n)) (- f n)) (cbrt (pow (/ (- (+ f n)) (- f n)) (/ 3 2))) (cbrt (pow (/ (- (+ f n)) (- f n)) (/ 3 2))) (- (+ f n)) (- f n) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ 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))) 1 -1 -1 1 -1 -1 1 -1 -1 1.582 * * * [progress]: adding candidates to table 2.017 * * [progress]: iteration 4 / 4 2.017 * * * [progress]: picking best candidate 2.019 * * * * [pick]: Picked # 2.019 * * * [progress]: localizing error 2.029 * * * [progress]: generating rewritten candidates 2.030 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.049 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.061 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.071 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 2.094 * * * [progress]: generating series expansions 2.094 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.094 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in (f n) around 0 2.094 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in n 2.094 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in n 2.094 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in n 2.094 * [taylor]: Taking taylor expansion of 1/3 in n 2.094 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in n 2.094 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 2.094 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 2.094 * [taylor]: Taking taylor expansion of (+ n f) in n 2.094 * [taylor]: Taking taylor expansion of n in n 2.094 * [taylor]: Taking taylor expansion of f in n 2.094 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 2.094 * [taylor]: Taking taylor expansion of (- f n) in n 2.094 * [taylor]: Taking taylor expansion of f in n 2.094 * [taylor]: Taking taylor expansion of n in n 2.098 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 2.098 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 2.098 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 2.098 * [taylor]: Taking taylor expansion of 1/3 in f 2.098 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 2.098 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 2.098 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 2.098 * [taylor]: Taking taylor expansion of (+ n f) in f 2.098 * [taylor]: Taking taylor expansion of n in f 2.098 * [taylor]: Taking taylor expansion of f in f 2.098 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 2.098 * [taylor]: Taking taylor expansion of (- f n) in f 2.098 * [taylor]: Taking taylor expansion of f in f 2.098 * [taylor]: Taking taylor expansion of n in f 2.101 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 2.101 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 2.101 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 2.101 * [taylor]: Taking taylor expansion of 1/3 in f 2.101 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 2.101 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 2.101 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 2.101 * [taylor]: Taking taylor expansion of (+ n f) in f 2.101 * [taylor]: Taking taylor expansion of n in f 2.101 * [taylor]: Taking taylor expansion of f in f 2.101 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 2.101 * [taylor]: Taking taylor expansion of (- f n) in f 2.101 * [taylor]: Taking taylor expansion of f in f 2.101 * [taylor]: Taking taylor expansion of n in f 2.103 * [taylor]: Taking taylor expansion of 1 in n 2.104 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 2.104 * [taylor]: Taking taylor expansion of 4/3 in n 2.104 * [taylor]: Taking taylor expansion of n in n 2.109 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 2.109 * [taylor]: Taking taylor expansion of 8/9 in n 2.109 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.109 * [taylor]: Taking taylor expansion of n in n 2.117 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 2.117 * [taylor]: Taking taylor expansion of 68/81 in n 2.117 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.117 * [taylor]: Taking taylor expansion of n in n 2.122 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in (f n) around 0 2.123 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in n 2.123 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in n 2.123 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in n 2.123 * [taylor]: Taking taylor expansion of 1/3 in n 2.123 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in n 2.123 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 2.123 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 2.123 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.123 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.123 * [taylor]: Taking taylor expansion of f in n 2.123 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.123 * [taylor]: Taking taylor expansion of n in n 2.123 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 2.123 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.123 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.123 * [taylor]: Taking taylor expansion of f in n 2.123 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.123 * [taylor]: Taking taylor expansion of n in n 2.127 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 2.127 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 2.127 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 2.127 * [taylor]: Taking taylor expansion of 1/3 in f 2.127 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 2.127 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 2.127 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 2.127 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.127 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.127 * [taylor]: Taking taylor expansion of f in f 2.128 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.128 * [taylor]: Taking taylor expansion of n in f 2.128 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 2.128 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.128 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.128 * [taylor]: Taking taylor expansion of f in f 2.128 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.128 * [taylor]: Taking taylor expansion of n in f 2.132 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 2.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 2.132 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 2.132 * [taylor]: Taking taylor expansion of 1/3 in f 2.132 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 2.132 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 2.132 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 2.132 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.132 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.132 * [taylor]: Taking taylor expansion of f in f 2.132 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.132 * [taylor]: Taking taylor expansion of n in f 2.132 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 2.132 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.132 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.132 * [taylor]: Taking taylor expansion of f in f 2.133 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.133 * [taylor]: Taking taylor expansion of n in f 2.136 * [taylor]: Taking taylor expansion of 1 in n 2.136 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 2.136 * [taylor]: Taking taylor expansion of 4/3 in n 2.136 * [taylor]: Taking taylor expansion of n in n 2.147 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 2.147 * [taylor]: Taking taylor expansion of 8/9 in n 2.147 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.147 * [taylor]: Taking taylor expansion of n in n 2.156 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 2.156 * [taylor]: Taking taylor expansion of 68/81 in n 2.156 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.156 * [taylor]: Taking taylor expansion of n in n 2.161 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in (f n) around 0 2.162 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in n 2.162 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in n 2.162 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in n 2.162 * [taylor]: Taking taylor expansion of 1/3 in n 2.162 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in n 2.162 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 2.162 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 2.162 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.162 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.162 * [taylor]: Taking taylor expansion of f in n 2.162 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.162 * [taylor]: Taking taylor expansion of n in n 2.163 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 2.163 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.163 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.163 * [taylor]: Taking taylor expansion of n in n 2.163 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.163 * [taylor]: Taking taylor expansion of f in n 2.166 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 2.166 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 2.166 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 2.166 * [taylor]: Taking taylor expansion of 1/3 in f 2.166 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 2.166 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 2.166 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 2.166 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.166 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.166 * [taylor]: Taking taylor expansion of f in f 2.167 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.167 * [taylor]: Taking taylor expansion of n in f 2.167 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 2.167 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.167 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.167 * [taylor]: Taking taylor expansion of n in f 2.167 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.167 * [taylor]: Taking taylor expansion of f in f 2.171 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 2.171 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 2.171 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 2.171 * [taylor]: Taking taylor expansion of 1/3 in f 2.171 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 2.171 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 2.171 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 2.171 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.171 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.171 * [taylor]: Taking taylor expansion of f in f 2.171 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.171 * [taylor]: Taking taylor expansion of n in f 2.172 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 2.172 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.172 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.172 * [taylor]: Taking taylor expansion of n in f 2.172 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.172 * [taylor]: Taking taylor expansion of f in f 2.176 * [taylor]: Taking taylor expansion of 1 in n 2.176 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 2.176 * [taylor]: Taking taylor expansion of 4/3 in n 2.176 * [taylor]: Taking taylor expansion of n in n 2.182 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 2.182 * [taylor]: Taking taylor expansion of 8/9 in n 2.182 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.182 * [taylor]: Taking taylor expansion of n in n 2.191 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 2.191 * [taylor]: Taking taylor expansion of 68/81 in n 2.191 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.191 * [taylor]: Taking taylor expansion of n in n 2.196 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.197 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ n f) (- f n)) 1/3)) in (f n) around 0 2.197 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ n f) (- f n)) 1/3)) in n 2.197 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.197 * [taylor]: Taking taylor expansion of -1 in n 2.197 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in n 2.197 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in n 2.197 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in n 2.197 * [taylor]: Taking taylor expansion of 1/3 in n 2.197 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in n 2.197 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.197 * [taylor]: Taking taylor expansion of (+ n f) in n 2.197 * [taylor]: Taking taylor expansion of n in n 2.197 * [taylor]: Taking taylor expansion of f in n 2.197 * [taylor]: Taking taylor expansion of (- f n) in n 2.197 * [taylor]: Taking taylor expansion of f in n 2.197 * [taylor]: Taking taylor expansion of n in n 2.200 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ n f) (- f n)) 1/3)) in f 2.200 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.200 * [taylor]: Taking taylor expansion of -1 in f 2.200 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 2.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 2.200 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 2.200 * [taylor]: Taking taylor expansion of 1/3 in f 2.200 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 2.201 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.201 * [taylor]: Taking taylor expansion of (+ n f) in f 2.201 * [taylor]: Taking taylor expansion of n in f 2.201 * [taylor]: Taking taylor expansion of f in f 2.201 * [taylor]: Taking taylor expansion of (- f n) in f 2.201 * [taylor]: Taking taylor expansion of f in f 2.201 * [taylor]: Taking taylor expansion of n in f 2.202 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ n f) (- f n)) 1/3)) in f 2.202 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.202 * [taylor]: Taking taylor expansion of -1 in f 2.203 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 2.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 2.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 2.203 * [taylor]: Taking taylor expansion of 1/3 in f 2.203 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 2.203 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.203 * [taylor]: Taking taylor expansion of (+ n f) in f 2.203 * [taylor]: Taking taylor expansion of n in f 2.203 * [taylor]: Taking taylor expansion of f in f 2.203 * [taylor]: Taking taylor expansion of (- f n) in f 2.203 * [taylor]: Taking taylor expansion of f in f 2.203 * [taylor]: Taking taylor expansion of n in f 2.206 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (cbrt -1)) in n 2.206 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.206 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.206 * [taylor]: Taking taylor expansion of 1/3 in n 2.206 * [taylor]: Taking taylor expansion of (log -1) in n 2.206 * [taylor]: Taking taylor expansion of -1 in n 2.208 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.208 * [taylor]: Taking taylor expansion of -1 in n 2.214 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow -1 1/3) (/ (cbrt -1) n))) in n 2.214 * [taylor]: Taking taylor expansion of 2/3 in n 2.214 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) n)) in n 2.214 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.214 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.215 * [taylor]: Taking taylor expansion of 1/3 in n 2.215 * [taylor]: Taking taylor expansion of (log -1) in n 2.215 * [taylor]: Taking taylor expansion of -1 in n 2.216 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.216 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.216 * [taylor]: Taking taylor expansion of -1 in n 2.217 * [taylor]: Taking taylor expansion of n in n 2.234 * [taylor]: Taking taylor expansion of (* 2/9 (* (pow -1 1/3) (/ (cbrt -1) (pow n 2)))) in n 2.234 * [taylor]: Taking taylor expansion of 2/9 in n 2.234 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) (pow n 2))) in n 2.234 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.234 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.234 * [taylor]: Taking taylor expansion of 1/3 in n 2.234 * [taylor]: Taking taylor expansion of (log -1) in n 2.234 * [taylor]: Taking taylor expansion of -1 in n 2.236 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 2.236 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.236 * [taylor]: Taking taylor expansion of -1 in n 2.236 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.236 * [taylor]: Taking taylor expansion of n in n 2.266 * [taylor]: Taking taylor expansion of (* 22/81 (* (pow -1 1/3) (/ (cbrt -1) (pow n 3)))) in n 2.266 * [taylor]: Taking taylor expansion of 22/81 in n 2.266 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) (pow n 3))) in n 2.266 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.266 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.266 * [taylor]: Taking taylor expansion of 1/3 in n 2.266 * [taylor]: Taking taylor expansion of (log -1) in n 2.267 * [taylor]: Taking taylor expansion of -1 in n 2.268 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 2.268 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.268 * [taylor]: Taking taylor expansion of -1 in n 2.269 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.269 * [taylor]: Taking taylor expansion of n in n 2.291 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3)) in (f n) around 0 2.291 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3)) in n 2.291 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.291 * [taylor]: Taking taylor expansion of -1 in n 2.291 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in n 2.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 2.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.291 * [taylor]: Taking taylor expansion of 1/3 in n 2.291 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.291 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.291 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.291 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.291 * [taylor]: Taking taylor expansion of f in n 2.292 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.292 * [taylor]: Taking taylor expansion of n in n 2.292 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.292 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.292 * [taylor]: Taking taylor expansion of f in n 2.292 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.292 * [taylor]: Taking taylor expansion of n in n 2.295 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3)) in f 2.295 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.295 * [taylor]: Taking taylor expansion of -1 in f 2.295 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 2.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.296 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.296 * [taylor]: Taking taylor expansion of 1/3 in f 2.296 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.296 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.296 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.296 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.296 * [taylor]: Taking taylor expansion of f in f 2.296 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.296 * [taylor]: Taking taylor expansion of n in f 2.296 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.296 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.296 * [taylor]: Taking taylor expansion of f in f 2.296 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.296 * [taylor]: Taking taylor expansion of n in f 2.299 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3)) in f 2.299 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.299 * [taylor]: Taking taylor expansion of -1 in f 2.300 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 2.300 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.300 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.300 * [taylor]: Taking taylor expansion of 1/3 in f 2.300 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.300 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.300 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.300 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.300 * [taylor]: Taking taylor expansion of f in f 2.300 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.300 * [taylor]: Taking taylor expansion of n in f 2.300 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.300 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.300 * [taylor]: Taking taylor expansion of f in f 2.301 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.301 * [taylor]: Taking taylor expansion of n in f 2.307 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.307 * [taylor]: Taking taylor expansion of -1 in n 2.309 * [taylor]: Taking taylor expansion of (* 2/3 (/ (cbrt -1) n)) in n 2.309 * [taylor]: Taking taylor expansion of 2/3 in n 2.309 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.309 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.309 * [taylor]: Taking taylor expansion of -1 in n 2.310 * [taylor]: Taking taylor expansion of n in n 2.317 * [taylor]: Taking taylor expansion of (* 2/9 (/ (cbrt -1) (pow n 2))) in n 2.317 * [taylor]: Taking taylor expansion of 2/9 in n 2.317 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 2.317 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.317 * [taylor]: Taking taylor expansion of -1 in n 2.318 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.318 * [taylor]: Taking taylor expansion of n in n 2.332 * [taylor]: Taking taylor expansion of (* 22/81 (/ (cbrt -1) (pow n 3))) in n 2.332 * [taylor]: Taking taylor expansion of 22/81 in n 2.332 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 2.332 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.332 * [taylor]: Taking taylor expansion of -1 in n 2.333 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.333 * [taylor]: Taking taylor expansion of n in n 2.341 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in (f n) around 0 2.341 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in n 2.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 2.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 2.341 * [taylor]: Taking taylor expansion of 1/3 in n 2.341 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.341 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.341 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.341 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.341 * [taylor]: Taking taylor expansion of f in n 2.341 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.341 * [taylor]: Taking taylor expansion of n in n 2.342 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.342 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.342 * [taylor]: Taking taylor expansion of n in n 2.342 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.342 * [taylor]: Taking taylor expansion of f in n 2.345 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 2.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 2.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.345 * [taylor]: Taking taylor expansion of 1/3 in f 2.345 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.345 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.345 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.345 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.345 * [taylor]: Taking taylor expansion of f in f 2.345 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.346 * [taylor]: Taking taylor expansion of n in f 2.346 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.346 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.346 * [taylor]: Taking taylor expansion of n in f 2.346 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.346 * [taylor]: Taking taylor expansion of f in f 2.349 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 2.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 2.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.349 * [taylor]: Taking taylor expansion of 1/3 in f 2.349 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.349 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.349 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.349 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.349 * [taylor]: Taking taylor expansion of f in f 2.349 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.349 * [taylor]: Taking taylor expansion of n in f 2.349 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.349 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.349 * [taylor]: Taking taylor expansion of n in f 2.349 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.349 * [taylor]: Taking taylor expansion of f in f 2.352 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.352 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.352 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.352 * [taylor]: Taking taylor expansion of 1/3 in n 2.352 * [taylor]: Taking taylor expansion of (log -1) in n 2.352 * [taylor]: Taking taylor expansion of -1 in n 2.357 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow -1 1/3) (/ 1 n))) in n 2.357 * [taylor]: Taking taylor expansion of 2/3 in n 2.357 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 n)) in n 2.357 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.358 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.358 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.358 * [taylor]: Taking taylor expansion of 1/3 in n 2.358 * [taylor]: Taking taylor expansion of (log -1) in n 2.358 * [taylor]: Taking taylor expansion of -1 in n 2.359 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.359 * [taylor]: Taking taylor expansion of n in n 2.371 * [taylor]: Taking taylor expansion of (* 2/9 (* (pow -1 1/3) (/ 1 (pow n 2)))) in n 2.371 * [taylor]: Taking taylor expansion of 2/9 in n 2.371 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 (pow n 2))) in n 2.371 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.371 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.371 * [taylor]: Taking taylor expansion of 1/3 in n 2.372 * [taylor]: Taking taylor expansion of (log -1) in n 2.372 * [taylor]: Taking taylor expansion of -1 in n 2.373 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.373 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.373 * [taylor]: Taking taylor expansion of n in n 2.402 * [taylor]: Taking taylor expansion of (* 22/81 (* (pow -1 1/3) (/ 1 (pow n 3)))) in n 2.402 * [taylor]: Taking taylor expansion of 22/81 in n 2.402 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 (pow n 3))) in n 2.402 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 2.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 2.402 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 2.402 * [taylor]: Taking taylor expansion of 1/3 in n 2.402 * [taylor]: Taking taylor expansion of (log -1) in n 2.402 * [taylor]: Taking taylor expansion of -1 in n 2.404 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.404 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.404 * [taylor]: Taking taylor expansion of n in n 2.422 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 2.423 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.423 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.423 * [taylor]: Taking taylor expansion of -1 in n 2.423 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.423 * [taylor]: Taking taylor expansion of (+ n f) in n 2.423 * [taylor]: Taking taylor expansion of n in n 2.423 * [taylor]: Taking taylor expansion of f in n 2.423 * [taylor]: Taking taylor expansion of (- f n) in n 2.423 * [taylor]: Taking taylor expansion of f in n 2.423 * [taylor]: Taking taylor expansion of n in n 2.423 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.423 * [taylor]: Taking taylor expansion of -1 in f 2.423 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.423 * [taylor]: Taking taylor expansion of (+ n f) in f 2.423 * [taylor]: Taking taylor expansion of n in f 2.423 * [taylor]: Taking taylor expansion of f in f 2.423 * [taylor]: Taking taylor expansion of (- f n) in f 2.423 * [taylor]: Taking taylor expansion of f in f 2.423 * [taylor]: Taking taylor expansion of n in f 2.423 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.423 * [taylor]: Taking taylor expansion of -1 in f 2.423 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.423 * [taylor]: Taking taylor expansion of (+ n f) in f 2.423 * [taylor]: Taking taylor expansion of n in f 2.423 * [taylor]: Taking taylor expansion of f in f 2.423 * [taylor]: Taking taylor expansion of (- f n) in f 2.423 * [taylor]: Taking taylor expansion of f in f 2.423 * [taylor]: Taking taylor expansion of n in f 2.424 * [taylor]: Taking taylor expansion of 1 in n 2.425 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.425 * [taylor]: Taking taylor expansion of 2 in n 2.425 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.425 * [taylor]: Taking taylor expansion of n in n 2.427 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.427 * [taylor]: Taking taylor expansion of 2 in n 2.427 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.427 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.427 * [taylor]: Taking taylor expansion of n in n 2.433 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.433 * [taylor]: Taking taylor expansion of 2 in n 2.433 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.433 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.433 * [taylor]: Taking taylor expansion of n in n 2.438 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.438 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.438 * [taylor]: Taking taylor expansion of -1 in n 2.438 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.438 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.438 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.438 * [taylor]: Taking taylor expansion of f in n 2.438 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.438 * [taylor]: Taking taylor expansion of n in n 2.439 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.439 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.439 * [taylor]: Taking taylor expansion of f in n 2.439 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.439 * [taylor]: Taking taylor expansion of n in n 2.440 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.440 * [taylor]: Taking taylor expansion of -1 in f 2.440 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.440 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.440 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.440 * [taylor]: Taking taylor expansion of f in f 2.440 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.440 * [taylor]: Taking taylor expansion of n in f 2.440 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.440 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.440 * [taylor]: Taking taylor expansion of f in f 2.441 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.441 * [taylor]: Taking taylor expansion of n in f 2.441 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.441 * [taylor]: Taking taylor expansion of -1 in f 2.441 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.442 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.442 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.442 * [taylor]: Taking taylor expansion of f in f 2.442 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.442 * [taylor]: Taking taylor expansion of n in f 2.442 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.442 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.442 * [taylor]: Taking taylor expansion of f in f 2.442 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.442 * [taylor]: Taking taylor expansion of n in f 2.443 * [taylor]: Taking taylor expansion of -1 in n 2.445 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.445 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.445 * [taylor]: Taking taylor expansion of 2 in n 2.445 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.445 * [taylor]: Taking taylor expansion of n in n 2.449 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.449 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.449 * [taylor]: Taking taylor expansion of 2 in n 2.449 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.449 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.449 * [taylor]: Taking taylor expansion of n in n 2.457 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.457 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.457 * [taylor]: Taking taylor expansion of 2 in n 2.457 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.457 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.457 * [taylor]: Taking taylor expansion of n in n 2.463 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.463 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.463 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.463 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.463 * [taylor]: Taking taylor expansion of f in n 2.463 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.463 * [taylor]: Taking taylor expansion of n in n 2.463 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.463 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.463 * [taylor]: Taking taylor expansion of n in n 2.463 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.463 * [taylor]: Taking taylor expansion of f in n 2.464 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.464 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.464 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.464 * [taylor]: Taking taylor expansion of f in f 2.465 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.465 * [taylor]: Taking taylor expansion of n in f 2.465 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.465 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.465 * [taylor]: Taking taylor expansion of n in f 2.465 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.465 * [taylor]: Taking taylor expansion of f in f 2.466 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.466 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.466 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.466 * [taylor]: Taking taylor expansion of f in f 2.466 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.466 * [taylor]: Taking taylor expansion of n in f 2.466 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.466 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.466 * [taylor]: Taking taylor expansion of n in f 2.466 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.466 * [taylor]: Taking taylor expansion of f in f 2.468 * [taylor]: Taking taylor expansion of -1 in n 2.469 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.469 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.469 * [taylor]: Taking taylor expansion of 2 in n 2.469 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.469 * [taylor]: Taking taylor expansion of n in n 2.476 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.476 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.476 * [taylor]: Taking taylor expansion of 2 in n 2.476 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.476 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.476 * [taylor]: Taking taylor expansion of n in n 2.483 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.483 * [taylor]: Taking taylor expansion of 2 in n 2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.483 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.483 * [taylor]: Taking taylor expansion of n in n 2.489 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 2.489 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.489 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.489 * [taylor]: Taking taylor expansion of -1 in n 2.489 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.489 * [taylor]: Taking taylor expansion of (+ n f) in n 2.489 * [taylor]: Taking taylor expansion of n in n 2.489 * [taylor]: Taking taylor expansion of f in n 2.489 * [taylor]: Taking taylor expansion of (- f n) in n 2.489 * [taylor]: Taking taylor expansion of f in n 2.489 * [taylor]: Taking taylor expansion of n in n 2.489 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.489 * [taylor]: Taking taylor expansion of -1 in f 2.489 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.489 * [taylor]: Taking taylor expansion of (+ n f) in f 2.489 * [taylor]: Taking taylor expansion of n in f 2.489 * [taylor]: Taking taylor expansion of f in f 2.489 * [taylor]: Taking taylor expansion of (- f n) in f 2.489 * [taylor]: Taking taylor expansion of f in f 2.489 * [taylor]: Taking taylor expansion of n in f 2.490 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.490 * [taylor]: Taking taylor expansion of -1 in f 2.490 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.490 * [taylor]: Taking taylor expansion of (+ n f) in f 2.490 * [taylor]: Taking taylor expansion of n in f 2.490 * [taylor]: Taking taylor expansion of f in f 2.490 * [taylor]: Taking taylor expansion of (- f n) in f 2.490 * [taylor]: Taking taylor expansion of f in f 2.490 * [taylor]: Taking taylor expansion of n in f 2.490 * [taylor]: Taking taylor expansion of 1 in n 2.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.491 * [taylor]: Taking taylor expansion of 2 in n 2.491 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.491 * [taylor]: Taking taylor expansion of n in n 2.494 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.494 * [taylor]: Taking taylor expansion of 2 in n 2.494 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.494 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.494 * [taylor]: Taking taylor expansion of n in n 2.499 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.499 * [taylor]: Taking taylor expansion of 2 in n 2.499 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.499 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.499 * [taylor]: Taking taylor expansion of n in n 2.505 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.505 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.505 * [taylor]: Taking taylor expansion of -1 in n 2.505 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.505 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.505 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.505 * [taylor]: Taking taylor expansion of f in n 2.505 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.505 * [taylor]: Taking taylor expansion of n in n 2.505 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.505 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.505 * [taylor]: Taking taylor expansion of f in n 2.505 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.505 * [taylor]: Taking taylor expansion of n in n 2.506 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.507 * [taylor]: Taking taylor expansion of -1 in f 2.507 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.507 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.507 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.507 * [taylor]: Taking taylor expansion of f in f 2.507 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.507 * [taylor]: Taking taylor expansion of n in f 2.507 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.507 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.507 * [taylor]: Taking taylor expansion of f in f 2.507 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.507 * [taylor]: Taking taylor expansion of n in f 2.508 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.508 * [taylor]: Taking taylor expansion of -1 in f 2.508 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.508 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.508 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.508 * [taylor]: Taking taylor expansion of f in f 2.508 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.508 * [taylor]: Taking taylor expansion of n in f 2.508 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.508 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.508 * [taylor]: Taking taylor expansion of f in f 2.509 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.509 * [taylor]: Taking taylor expansion of n in f 2.510 * [taylor]: Taking taylor expansion of -1 in n 2.511 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.511 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.511 * [taylor]: Taking taylor expansion of 2 in n 2.511 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.511 * [taylor]: Taking taylor expansion of n in n 2.516 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.516 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.516 * [taylor]: Taking taylor expansion of 2 in n 2.516 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.516 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.516 * [taylor]: Taking taylor expansion of n in n 2.523 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.523 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.523 * [taylor]: Taking taylor expansion of 2 in n 2.523 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.523 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.523 * [taylor]: Taking taylor expansion of n in n 2.529 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.529 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.529 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.529 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.529 * [taylor]: Taking taylor expansion of f in n 2.529 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.529 * [taylor]: Taking taylor expansion of n in n 2.530 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.530 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.530 * [taylor]: Taking taylor expansion of n in n 2.530 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.530 * [taylor]: Taking taylor expansion of f in n 2.531 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.531 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.531 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.531 * [taylor]: Taking taylor expansion of f in f 2.531 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.531 * [taylor]: Taking taylor expansion of n in f 2.531 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.531 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.531 * [taylor]: Taking taylor expansion of n in f 2.531 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.531 * [taylor]: Taking taylor expansion of f in f 2.532 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.532 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.532 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.532 * [taylor]: Taking taylor expansion of f in f 2.533 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.533 * [taylor]: Taking taylor expansion of n in f 2.533 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.533 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.533 * [taylor]: Taking taylor expansion of n in f 2.533 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.533 * [taylor]: Taking taylor expansion of f in f 2.534 * [taylor]: Taking taylor expansion of -1 in n 2.535 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.535 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.535 * [taylor]: Taking taylor expansion of 2 in n 2.535 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.535 * [taylor]: Taking taylor expansion of n in n 2.539 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.539 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.539 * [taylor]: Taking taylor expansion of 2 in n 2.539 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.539 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.539 * [taylor]: Taking taylor expansion of n in n 2.546 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.546 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.546 * [taylor]: Taking taylor expansion of 2 in n 2.546 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.546 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.546 * [taylor]: Taking taylor expansion of n in n 2.552 * * * [progress]: simplifying candidates 2.559 * [simplify]: Simplifying using # : (expm1 (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))) (log1p (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))) (log (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))) (exp (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))) (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))) (cbrt (* (- (+ f n)) (- (+ f n)))) (cbrt (* (- f n) (- f n))) (cbrt (* 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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 (pow -1 2/3) (pow -1 1/3) (pow -1 1/3) 1 -1 -1 1 -1 -1 2.643 * * * [progress]: adding candidates to table 3.278 * [progress]: [Phase 3 of 3] Extracting. 3.279 * * [regime]: Finding splitpoints for: (# # #) 3.280 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 3.280 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 3.294 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# #) 3.305 * * * * [regimes]: Trying to branch on n from (# # #) 3.321 * * * * [regimes]: Trying to branch on f from (# # #) 3.335 * * * [regime]: Found split indices: #