0.873 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.266 * * * [progress]: [2/2] Setting up program. 0.269 * [progress]: [Phase 2 of 3] Improving. 0.271 * [simplify]: Simplifying using # : (/ (- (+ f n)) (- f n)) 0.275 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.276 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.278 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.279 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.280 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.282 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.283 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.283 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.284 * * [progress]: iteration 1 / 4 0.285 * * * [progress]: picking best candidate 0.286 * * * * [pick]: Picked # 0.286 * * * [progress]: localizing error 0.294 * * * [progress]: generating rewritten candidates 0.294 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.319 * * * [progress]: generating series expansions 0.320 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.324 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.325 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.325 * [taylor]: Taking taylor expansion of -1 in n 0.325 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.325 * [taylor]: Taking taylor expansion of (+ n f) in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.325 * [taylor]: Taking taylor expansion of f in n 0.325 * [taylor]: Taking taylor expansion of (- f n) in n 0.325 * [taylor]: Taking taylor expansion of f in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.326 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.326 * [taylor]: Taking taylor expansion of -1 in f 0.326 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.326 * [taylor]: Taking taylor expansion of (+ n f) in f 0.326 * [taylor]: Taking taylor expansion of n in f 0.326 * [taylor]: Taking taylor expansion of f in f 0.326 * [taylor]: Taking taylor expansion of (- f n) in f 0.326 * [taylor]: Taking taylor expansion of f in f 0.326 * [taylor]: Taking taylor expansion of n in f 0.326 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.326 * [taylor]: Taking taylor expansion of -1 in f 0.326 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.326 * [taylor]: Taking taylor expansion of (+ n f) in f 0.326 * [taylor]: Taking taylor expansion of n in f 0.326 * [taylor]: Taking taylor expansion of f in f 0.326 * [taylor]: Taking taylor expansion of (- f n) in f 0.326 * [taylor]: Taking taylor expansion of f in f 0.326 * [taylor]: Taking taylor expansion of n in f 0.327 * [taylor]: Taking taylor expansion of 1 in n 0.329 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.329 * [taylor]: Taking taylor expansion of 2 in n 0.329 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.329 * [taylor]: Taking taylor expansion of n in n 0.332 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.332 * [taylor]: Taking taylor expansion of 2 in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.332 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.338 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.338 * [taylor]: Taking taylor expansion of 2 in n 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.338 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.338 * [taylor]: Taking taylor expansion of n in n 0.344 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.344 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.344 * [taylor]: Taking taylor expansion of -1 in n 0.344 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.344 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.344 * [taylor]: Taking taylor expansion of f in n 0.344 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.345 * [taylor]: Taking taylor expansion of n in n 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.353 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.353 * [taylor]: Taking taylor expansion of f in n 0.353 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.353 * [taylor]: Taking taylor expansion of n in n 0.355 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.355 * [taylor]: Taking taylor expansion of -1 in f 0.355 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.355 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.355 * [taylor]: Taking taylor expansion of f in f 0.355 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.355 * [taylor]: Taking taylor expansion of n in f 0.355 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.355 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.355 * [taylor]: Taking taylor expansion of f in f 0.355 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.355 * [taylor]: Taking taylor expansion of n in f 0.356 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.356 * [taylor]: Taking taylor expansion of -1 in f 0.356 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.356 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.356 * [taylor]: Taking taylor expansion of f in f 0.357 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.357 * [taylor]: Taking taylor expansion of n in f 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.357 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.357 * [taylor]: Taking taylor expansion of f in f 0.357 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.357 * [taylor]: Taking taylor expansion of n in f 0.358 * [taylor]: Taking taylor expansion of -1 in n 0.359 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.359 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.359 * [taylor]: Taking taylor expansion of 2 in n 0.359 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.360 * [taylor]: Taking taylor expansion of n in n 0.364 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.364 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.364 * [taylor]: Taking taylor expansion of 2 in n 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.364 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.364 * [taylor]: Taking taylor expansion of n in n 0.371 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.371 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.371 * [taylor]: Taking taylor expansion of 2 in n 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.371 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.371 * [taylor]: Taking taylor expansion of n in n 0.377 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.377 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.378 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.378 * [taylor]: Taking taylor expansion of f in n 0.378 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.378 * [taylor]: Taking taylor expansion of n in n 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.378 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.378 * [taylor]: Taking taylor expansion of n in n 0.378 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.378 * [taylor]: Taking taylor expansion of f in n 0.379 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.379 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.379 * [taylor]: Taking taylor expansion of f in f 0.379 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.379 * [taylor]: Taking taylor expansion of n in f 0.379 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.379 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.379 * [taylor]: Taking taylor expansion of n in f 0.379 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.380 * [taylor]: Taking taylor expansion of f in f 0.381 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.381 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.381 * [taylor]: Taking taylor expansion of f in f 0.381 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.381 * [taylor]: Taking taylor expansion of n in f 0.381 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.381 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.381 * [taylor]: Taking taylor expansion of n in f 0.381 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.381 * [taylor]: Taking taylor expansion of f in f 0.382 * [taylor]: Taking taylor expansion of -1 in n 0.384 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.384 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.384 * [taylor]: Taking taylor expansion of 2 in n 0.384 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.384 * [taylor]: Taking taylor expansion of n in n 0.388 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.388 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.388 * [taylor]: Taking taylor expansion of 2 in n 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.388 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.388 * [taylor]: Taking taylor expansion of n in n 0.395 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.395 * [taylor]: Taking taylor expansion of 2 in n 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.395 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.395 * [taylor]: Taking taylor expansion of n in n 0.401 * * * [progress]: simplifying candidates 0.403 * [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 0.408 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.412 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.427 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 0.464 * * [simplify]: iteration 3 : 5001 enodes (cost 743 ) 0.468 * [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 0.469 * * * [progress]: adding candidates to table 0.618 * * [progress]: iteration 2 / 4 0.618 * * * [progress]: picking best candidate 0.626 * * * * [pick]: Picked # 0.626 * * * [progress]: localizing error 0.635 * * * [progress]: generating rewritten candidates 0.635 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.675 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.692 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.745 * * * [progress]: generating series expansions 0.745 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.745 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.745 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.745 * [taylor]: Taking taylor expansion of -1 in n 0.745 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.745 * [taylor]: Taking taylor expansion of (+ n f) in n 0.745 * [taylor]: Taking taylor expansion of n in n 0.745 * [taylor]: Taking taylor expansion of f in n 0.745 * [taylor]: Taking taylor expansion of (- f n) in n 0.745 * [taylor]: Taking taylor expansion of f in n 0.745 * [taylor]: Taking taylor expansion of n in n 0.746 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.746 * [taylor]: Taking taylor expansion of -1 in f 0.746 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.746 * [taylor]: Taking taylor expansion of (+ n f) in f 0.746 * [taylor]: Taking taylor expansion of n in f 0.746 * [taylor]: Taking taylor expansion of f in f 0.746 * [taylor]: Taking taylor expansion of (- f n) in f 0.746 * [taylor]: Taking taylor expansion of f in f 0.746 * [taylor]: Taking taylor expansion of n in f 0.746 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.746 * [taylor]: Taking taylor expansion of -1 in f 0.746 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.746 * [taylor]: Taking taylor expansion of (+ n f) in f 0.746 * [taylor]: Taking taylor expansion of n in f 0.746 * [taylor]: Taking taylor expansion of f in f 0.746 * [taylor]: Taking taylor expansion of (- f n) in f 0.746 * [taylor]: Taking taylor expansion of f in f 0.746 * [taylor]: Taking taylor expansion of n in f 0.746 * [taylor]: Taking taylor expansion of 1 in n 0.748 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.748 * [taylor]: Taking taylor expansion of 2 in n 0.748 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.748 * [taylor]: Taking taylor expansion of n in n 0.750 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.750 * [taylor]: Taking taylor expansion of 2 in n 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.750 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.750 * [taylor]: Taking taylor expansion of n in n 0.756 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.756 * [taylor]: Taking taylor expansion of 2 in n 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.756 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.756 * [taylor]: Taking taylor expansion of n in n 0.762 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.762 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.762 * [taylor]: Taking taylor expansion of -1 in n 0.762 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.762 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.762 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.762 * [taylor]: Taking taylor expansion of f in n 0.762 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.762 * [taylor]: Taking taylor expansion of n in n 0.762 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.762 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.762 * [taylor]: Taking taylor expansion of f in n 0.762 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.762 * [taylor]: Taking taylor expansion of n in n 0.763 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.763 * [taylor]: Taking taylor expansion of -1 in f 0.763 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.763 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.763 * [taylor]: Taking taylor expansion of f in f 0.764 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.764 * [taylor]: Taking taylor expansion of n in f 0.764 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.764 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.764 * [taylor]: Taking taylor expansion of f in f 0.764 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.764 * [taylor]: Taking taylor expansion of n in f 0.765 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.765 * [taylor]: Taking taylor expansion of -1 in f 0.765 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.765 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.765 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.765 * [taylor]: Taking taylor expansion of f in f 0.765 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.765 * [taylor]: Taking taylor expansion of n in f 0.765 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.765 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.765 * [taylor]: Taking taylor expansion of f in f 0.766 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.766 * [taylor]: Taking taylor expansion of n in f 0.767 * [taylor]: Taking taylor expansion of -1 in n 0.768 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.768 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.768 * [taylor]: Taking taylor expansion of 2 in n 0.768 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.768 * [taylor]: Taking taylor expansion of n in n 0.773 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.773 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.773 * [taylor]: Taking taylor expansion of 2 in n 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.773 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.773 * [taylor]: Taking taylor expansion of n in n 0.780 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.780 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.780 * [taylor]: Taking taylor expansion of 2 in n 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.780 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.780 * [taylor]: Taking taylor expansion of n in n 0.786 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.786 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.786 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.786 * [taylor]: Taking taylor expansion of f in n 0.786 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.787 * [taylor]: Taking taylor expansion of n in n 0.787 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.787 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.787 * [taylor]: Taking taylor expansion of n in n 0.787 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.787 * [taylor]: Taking taylor expansion of f in n 0.788 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.788 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.788 * [taylor]: Taking taylor expansion of f in f 0.788 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.788 * [taylor]: Taking taylor expansion of n in f 0.788 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.788 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.788 * [taylor]: Taking taylor expansion of n in f 0.788 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.788 * [taylor]: Taking taylor expansion of f in f 0.790 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.790 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.790 * [taylor]: Taking taylor expansion of f in f 0.790 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.790 * [taylor]: Taking taylor expansion of n in f 0.790 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.790 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.790 * [taylor]: Taking taylor expansion of n in f 0.790 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.790 * [taylor]: Taking taylor expansion of f in f 0.791 * [taylor]: Taking taylor expansion of -1 in n 0.793 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.793 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.793 * [taylor]: Taking taylor expansion of 2 in n 0.793 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.793 * [taylor]: Taking taylor expansion of n in n 0.801 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.801 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.801 * [taylor]: Taking taylor expansion of 2 in n 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.801 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.802 * [taylor]: Taking taylor expansion of n in n 0.809 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.809 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.809 * [taylor]: Taking taylor expansion of 2 in n 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.809 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.809 * [taylor]: Taking taylor expansion of n in n 0.815 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.815 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.815 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.815 * [taylor]: Taking taylor expansion of -1 in n 0.815 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.815 * [taylor]: Taking taylor expansion of (+ n f) in n 0.815 * [taylor]: Taking taylor expansion of n in n 0.815 * [taylor]: Taking taylor expansion of f in n 0.815 * [taylor]: Taking taylor expansion of (- f n) in n 0.815 * [taylor]: Taking taylor expansion of f in n 0.815 * [taylor]: Taking taylor expansion of n in n 0.815 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.815 * [taylor]: Taking taylor expansion of -1 in f 0.815 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.815 * [taylor]: Taking taylor expansion of (+ n f) in f 0.815 * [taylor]: Taking taylor expansion of n in f 0.815 * [taylor]: Taking taylor expansion of f in f 0.815 * [taylor]: Taking taylor expansion of (- f n) in f 0.815 * [taylor]: Taking taylor expansion of f in f 0.815 * [taylor]: Taking taylor expansion of n in f 0.815 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.815 * [taylor]: Taking taylor expansion of -1 in f 0.816 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.816 * [taylor]: Taking taylor expansion of (+ n f) in f 0.816 * [taylor]: Taking taylor expansion of n in f 0.816 * [taylor]: Taking taylor expansion of f in f 0.816 * [taylor]: Taking taylor expansion of (- f n) in f 0.816 * [taylor]: Taking taylor expansion of f in f 0.816 * [taylor]: Taking taylor expansion of n in f 0.816 * [taylor]: Taking taylor expansion of 1 in n 0.817 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.817 * [taylor]: Taking taylor expansion of 2 in n 0.817 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.817 * [taylor]: Taking taylor expansion of n in n 0.820 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.820 * [taylor]: Taking taylor expansion of 2 in n 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.820 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.820 * [taylor]: Taking taylor expansion of n in n 0.825 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.825 * [taylor]: Taking taylor expansion of 2 in n 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.825 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.825 * [taylor]: Taking taylor expansion of n in n 0.831 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.831 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.831 * [taylor]: Taking taylor expansion of -1 in n 0.831 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.831 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.831 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.831 * [taylor]: Taking taylor expansion of f in n 0.831 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.831 * [taylor]: Taking taylor expansion of n in n 0.831 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.831 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.831 * [taylor]: Taking taylor expansion of f in n 0.831 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.832 * [taylor]: Taking taylor expansion of n in n 0.833 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.833 * [taylor]: Taking taylor expansion of -1 in f 0.833 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.833 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.833 * [taylor]: Taking taylor expansion of f in f 0.833 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.833 * [taylor]: Taking taylor expansion of n in f 0.833 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.833 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.833 * [taylor]: Taking taylor expansion of f in f 0.833 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.833 * [taylor]: Taking taylor expansion of n in f 0.834 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.834 * [taylor]: Taking taylor expansion of -1 in f 0.834 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.834 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.834 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.834 * [taylor]: Taking taylor expansion of f in f 0.835 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.835 * [taylor]: Taking taylor expansion of n in f 0.835 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.835 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.835 * [taylor]: Taking taylor expansion of f in f 0.835 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.835 * [taylor]: Taking taylor expansion of n in f 0.836 * [taylor]: Taking taylor expansion of -1 in n 0.837 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.837 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.837 * [taylor]: Taking taylor expansion of 2 in n 0.837 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.837 * [taylor]: Taking taylor expansion of n in n 0.842 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.842 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.842 * [taylor]: Taking taylor expansion of 2 in n 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.842 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.842 * [taylor]: Taking taylor expansion of n in n 0.849 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.849 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.849 * [taylor]: Taking taylor expansion of 2 in n 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.849 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.849 * [taylor]: Taking taylor expansion of n in n 0.855 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.855 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.855 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.855 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.855 * [taylor]: Taking taylor expansion of f in n 0.855 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.856 * [taylor]: Taking taylor expansion of n in n 0.856 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.856 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.856 * [taylor]: Taking taylor expansion of n in n 0.856 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.856 * [taylor]: Taking taylor expansion of f in n 0.857 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.857 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.857 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.857 * [taylor]: Taking taylor expansion of f in f 0.857 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.857 * [taylor]: Taking taylor expansion of n in f 0.857 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.857 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.857 * [taylor]: Taking taylor expansion of n in f 0.857 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.857 * [taylor]: Taking taylor expansion of f in f 0.859 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.859 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.859 * [taylor]: Taking taylor expansion of f in f 0.859 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.859 * [taylor]: Taking taylor expansion of n in f 0.859 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.859 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.859 * [taylor]: Taking taylor expansion of n in f 0.859 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.859 * [taylor]: Taking taylor expansion of f in f 0.860 * [taylor]: Taking taylor expansion of -1 in n 0.861 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.862 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.862 * [taylor]: Taking taylor expansion of 2 in n 0.862 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.862 * [taylor]: Taking taylor expansion of n in n 0.865 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.866 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.866 * [taylor]: Taking taylor expansion of 2 in n 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.866 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.866 * [taylor]: Taking taylor expansion of n in n 0.873 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.873 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.873 * [taylor]: Taking taylor expansion of 2 in n 0.873 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.873 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.873 * [taylor]: Taking taylor expansion of n in n 0.879 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.879 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 0.879 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 0.879 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.879 * [taylor]: Taking taylor expansion of -1 in n 0.879 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.879 * [taylor]: Taking taylor expansion of (+ n f) in n 0.879 * [taylor]: Taking taylor expansion of n in n 0.879 * [taylor]: Taking taylor expansion of f in n 0.879 * [taylor]: Taking taylor expansion of (- f n) in n 0.879 * [taylor]: Taking taylor expansion of f in n 0.879 * [taylor]: Taking taylor expansion of n in n 0.880 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.880 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.880 * [taylor]: Taking taylor expansion of -1 in f 0.880 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.880 * [taylor]: Taking taylor expansion of (+ n f) in f 0.880 * [taylor]: Taking taylor expansion of n in f 0.880 * [taylor]: Taking taylor expansion of f in f 0.880 * [taylor]: Taking taylor expansion of (- f n) in f 0.880 * [taylor]: Taking taylor expansion of f in f 0.880 * [taylor]: Taking taylor expansion of n in f 0.880 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.880 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.880 * [taylor]: Taking taylor expansion of -1 in f 0.880 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.881 * [taylor]: Taking taylor expansion of (+ n f) in f 0.881 * [taylor]: Taking taylor expansion of n in f 0.881 * [taylor]: Taking taylor expansion of f in f 0.881 * [taylor]: Taking taylor expansion of (- f n) in f 0.881 * [taylor]: Taking taylor expansion of f in f 0.881 * [taylor]: Taking taylor expansion of n in f 0.881 * [taylor]: Taking taylor expansion of E in n 0.888 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 0.888 * [taylor]: Taking taylor expansion of 2 in n 0.888 * [taylor]: Taking taylor expansion of (/ E n) in n 0.888 * [taylor]: Taking taylor expansion of E in n 0.888 * [taylor]: Taking taylor expansion of n in n 0.891 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 0.891 * [taylor]: Taking taylor expansion of 4 in n 0.891 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 0.891 * [taylor]: Taking taylor expansion of E in n 0.891 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.891 * [taylor]: Taking taylor expansion of n in n 0.898 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 0.898 * [taylor]: Taking taylor expansion of 22/3 in n 0.898 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 0.898 * [taylor]: Taking taylor expansion of E in n 0.898 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.898 * [taylor]: Taking taylor expansion of n in n 0.904 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 0.904 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.904 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.904 * [taylor]: Taking taylor expansion of -1 in n 0.904 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.904 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.904 * [taylor]: Taking taylor expansion of f in n 0.904 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.904 * [taylor]: Taking taylor expansion of n in n 0.905 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.905 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.905 * [taylor]: Taking taylor expansion of f in n 0.905 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.905 * [taylor]: Taking taylor expansion of n in n 0.906 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.906 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.906 * [taylor]: Taking taylor expansion of -1 in f 0.906 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.906 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.906 * [taylor]: Taking taylor expansion of f in f 0.907 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.907 * [taylor]: Taking taylor expansion of n in f 0.907 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.907 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.907 * [taylor]: Taking taylor expansion of f in f 0.907 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.907 * [taylor]: Taking taylor expansion of n in f 0.908 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.908 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.908 * [taylor]: Taking taylor expansion of -1 in f 0.908 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.908 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.908 * [taylor]: Taking taylor expansion of f in f 0.909 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.909 * [taylor]: Taking taylor expansion of n in f 0.909 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.909 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.909 * [taylor]: Taking taylor expansion of f in f 0.909 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.909 * [taylor]: Taking taylor expansion of n in f 0.910 * [taylor]: Taking taylor expansion of (exp -1) in n 0.910 * [taylor]: Taking taylor expansion of -1 in n 0.913 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 0.913 * [taylor]: Taking taylor expansion of -2 in n 0.913 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 0.913 * [taylor]: Taking taylor expansion of (exp -1) in n 0.913 * [taylor]: Taking taylor expansion of -1 in n 0.913 * [taylor]: Taking taylor expansion of n in n 0.920 * [taylor]: Taking taylor expansion of 0 in n 0.927 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 0.927 * [taylor]: Taking taylor expansion of 2/3 in n 0.927 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 0.927 * [taylor]: Taking taylor expansion of (exp -1) in n 0.927 * [taylor]: Taking taylor expansion of -1 in n 0.927 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.927 * [taylor]: Taking taylor expansion of n in n 0.937 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 0.937 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.937 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.937 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.937 * [taylor]: Taking taylor expansion of f in n 0.937 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.937 * [taylor]: Taking taylor expansion of n in n 0.937 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.937 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.937 * [taylor]: Taking taylor expansion of n in n 0.938 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.938 * [taylor]: Taking taylor expansion of f in n 0.939 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.939 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.939 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.939 * [taylor]: Taking taylor expansion of f in f 0.939 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.939 * [taylor]: Taking taylor expansion of n in f 0.939 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.939 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.939 * [taylor]: Taking taylor expansion of n in f 0.939 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.939 * [taylor]: Taking taylor expansion of f in f 0.940 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.940 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.941 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.941 * [taylor]: Taking taylor expansion of f in f 0.941 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.941 * [taylor]: Taking taylor expansion of n in f 0.941 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.941 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.941 * [taylor]: Taking taylor expansion of n in f 0.941 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.941 * [taylor]: Taking taylor expansion of f in f 0.942 * [taylor]: Taking taylor expansion of (exp -1) in n 0.942 * [taylor]: Taking taylor expansion of -1 in n 0.945 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 0.945 * [taylor]: Taking taylor expansion of -2 in n 0.945 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 0.945 * [taylor]: Taking taylor expansion of (exp -1) in n 0.945 * [taylor]: Taking taylor expansion of -1 in n 0.945 * [taylor]: Taking taylor expansion of n in n 0.951 * [taylor]: Taking taylor expansion of 0 in n 0.958 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 0.958 * [taylor]: Taking taylor expansion of 2/3 in n 0.958 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 0.958 * [taylor]: Taking taylor expansion of (exp -1) in n 0.958 * [taylor]: Taking taylor expansion of -1 in n 0.958 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.958 * [taylor]: Taking taylor expansion of n in n 0.968 * * * [progress]: simplifying candidates 0.975 * [simplify]: Simplifying using # : (expm1 (log (exp (/ (- (+ f n)) (- f n))))) (log1p (log (exp (/ (- (+ f n)) (- f n))))) (log (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n)))))) (log (cbrt (exp (/ (- (+ f n)) (- f n))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))) (log 1) (log (exp (/ (- (+ f n)) (- f n)))) (log 1) (log (exp (/ (+ f n) (- f n)))) (log (exp (/ 0 (- f n)))) (log (exp (/ (+ f n) (- f n)))) (log (exp (/ (+ f n) (- f n)))) (log (exp (/ (- (+ f n)) (- f n)))) (log (exp (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))))) (log (exp (sqrt (/ (- (+ f n)) (- f n))))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1))) (log (exp (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (sqrt (- (+ f n))) (sqrt (- f n))))) (log (exp (/ (sqrt (- (+ f n))) 1))) (log (exp (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (sqrt (- (+ f n))) 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ -1 (sqrt (- f n))))) (log (exp (/ -1 1))) (log (exp (/ -1 (+ (sqrt f) (sqrt n))))) (log (exp (/ -1 1))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))) (log (exp (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- (sqrt (+ f n))) (sqrt (- f n))))) (log (exp (/ (- (sqrt (+ f n))) 1))) (log (exp (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- (sqrt (+ f n))) 1))) (log (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- 1) (sqrt (- f n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- 1) (sqrt (- f n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))) (log (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (sqrt (+ f n)) (sqrt (- f n))))) (log (exp (/ (sqrt (+ f n)) 1))) (log (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))))) (log (exp (/ (sqrt (+ f n)) 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- (+ f n)))) (log (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))) (log (exp (/ (- (+ f n)) (- (* f f) (* n n))))) (log (log (exp (/ (- (+ f n)) (- f n))))) (exp (log (exp (/ (- (+ f n)) (- f n))))) (* (cbrt (log (exp (/ (- (+ f n)) (- f n))))) (cbrt (log (exp (/ (- (+ f n)) (- f n)))))) (cbrt (log (exp (/ (- (+ f n)) (- f n))))) (* (* (log (exp (/ (- (+ f n)) (- f n)))) (log (exp (/ (- (+ f n)) (- f n))))) (log (exp (/ (- (+ f n)) (- f n))))) (sqrt (log (exp (/ (- (+ f n)) (- f n))))) (sqrt (log (exp (/ (- (+ f n)) (- f n))))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ 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(exp (/ 1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (exp (/ -1 1)) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (exp (/ -1 1)) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n)))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n)))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)) (exp (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (sqrt (+ f n))) (sqrt (- f n)))) (exp (/ (- (sqrt (+ f n))) 1)) (exp (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (/ (- (sqrt (+ f n))) 1)) (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- 1) (sqrt (- f n)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (+ (sqrt f) (sqrt n)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- 1) (sqrt (- f n)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (+ (sqrt f) (sqrt n)))) (exp (/ (- 1) 1)) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1)) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1)) (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (+ f n)) (sqrt (- f n)))) (exp (/ (sqrt (+ f n)) 1)) (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (exp (/ (sqrt (+ f n)) 1)) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp 1) (exp (- (+ f n))) (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) (exp (/ (- (+ f n)) (- (* f f) (* n n)))) (exp (/ (+ f n) (- f n))) (exp (/ 0 (- f n))) (exp (/ (+ f n) (- f n))) (log (exp (/ (- (+ f n)) (- f n)))) (exp (exp (/ (- (+ f n)) (- f n)))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (* (* (exp (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n)))) (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) 1 -1 -1 1 -1 -1 E (exp -1) (exp -1) 0.984 * * [simplify]: iteration 0 : 414 enodes (cost 1692 ) 0.989 * * [simplify]: iteration 1 : 1128 enodes (cost 1633 ) 1.003 * * [simplify]: iteration 2 : 3654 enodes (cost 1596 ) 1.044 * * [simplify]: iteration 3 : 5001 enodes (cost 1593 ) 1.051 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (* 2 (log (cbrt (exp (/ (- (+ f n)) (- f n)))))) (log (cbrt (exp (/ (- (+ f n)) (- f n))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))) 0 (/ (- (+ f n)) (- f n)) 0 (/ (+ f n) (- f n)) 0 (/ (+ f n) (- f n)) (/ (+ f n) (- f n)) (/ (- (+ f n)) (- f n)) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (sqrt (/ (- (+ f n)) (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt f) (sqrt n))) 1 (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt f) (sqrt n))) 1 (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt f) (sqrt n))) 1 1 (- (+ f n)) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ 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 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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)) (expm1 (exp (/ (- (+ f n)) (- f n)))) (log1p (exp (/ (- (+ f n)) (- f n)))) (exp (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (exp (sqrt (/ (- (+ f n)) (- f n)))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n)))) (pow (exp (cbrt (- (+ f n)))) (cbrt (- (+ f n)))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n)))) (pow (exp (cbrt (- (+ f n)))) (cbrt (- (+ f n)))) (exp (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (- (+ f n))) (sqrt (- f n)))) (exp (sqrt (- (+ f n)))) (exp (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (sqrt (- (+ f n)))) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (/ 1 E) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (/ 1 E) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n)))) (pow (exp (- (cbrt (+ f n)))) (cbrt (+ f n))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n)))) (pow (exp (- (cbrt (+ f n)))) (cbrt (+ f n))) (exp (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (sqrt (+ f n))) (sqrt (- f n)))) (/ 1 (exp (sqrt (+ f n)))) (exp (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (/ 1 (exp (sqrt (+ f n)))) (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (/ 1 E) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (/ 1 E) (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (/ 1 E) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (/ 1 E) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))) (pow (exp (cbrt (+ f n))) (cbrt (+ f n))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))) (pow (exp (cbrt (+ f n))) (cbrt (+ f n))) (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (+ f n)) (sqrt (- f n)))) (exp (sqrt (+ f n))) (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (exp (sqrt (+ f n))) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E E (exp (- (+ f n))) (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) (pow (/ 1 E) (/ 1 (- f n))) (exp (/ (+ f n) (- f n))) 1 (exp (/ (+ f n) (- f n))) (/ (- (+ f n)) (- f n)) (exp (exp (/ (- (+ f n)) (- f n)))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (pow (exp (/ (- (+ f n)) (- f n))) 3) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) 1 -1 -1 1 -1 -1 E (/ 1 E) (/ 1 E) 1.052 * * * [progress]: adding candidates to table 1.519 * * [progress]: iteration 3 / 4 1.519 * * * [progress]: picking best candidate 1.525 * * * * [pick]: Picked # 1.525 * * * [progress]: localizing error 1.537 * * * [progress]: generating rewritten candidates 1.537 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.538 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.538 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.560 * * * [progress]: generating series expansions 1.560 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.560 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 1.560 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 1.562 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.562 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 1.562 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.562 * [taylor]: Taking taylor expansion of -1 in n 1.562 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.562 * [taylor]: Taking taylor expansion of (+ n f) in n 1.562 * [taylor]: Taking taylor expansion of n in n 1.562 * [taylor]: Taking taylor expansion of f in n 1.562 * [taylor]: Taking taylor expansion of (- f n) in n 1.562 * [taylor]: Taking taylor expansion of f in n 1.562 * [taylor]: Taking taylor expansion of n in n 1.563 * [taylor]: Taking taylor expansion of 1 in n 1.563 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 1.563 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.563 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.563 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.563 * [taylor]: Taking taylor expansion of -1 in f 1.563 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.563 * [taylor]: Taking taylor expansion of (+ n f) in f 1.563 * [taylor]: Taking taylor expansion of n in f 1.563 * [taylor]: Taking taylor expansion of f in f 1.563 * [taylor]: Taking taylor expansion of (- f n) in f 1.563 * [taylor]: Taking taylor expansion of f in f 1.563 * [taylor]: Taking taylor expansion of n in f 1.564 * [taylor]: Taking taylor expansion of 1 in f 1.564 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 1.564 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.564 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.564 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.564 * [taylor]: Taking taylor expansion of -1 in f 1.564 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.564 * [taylor]: Taking taylor expansion of (+ n f) in f 1.564 * [taylor]: Taking taylor expansion of n in f 1.564 * [taylor]: Taking taylor expansion of f in f 1.564 * [taylor]: Taking taylor expansion of (- f n) in f 1.564 * [taylor]: Taking taylor expansion of f in f 1.564 * [taylor]: Taking taylor expansion of n in f 1.564 * [taylor]: Taking taylor expansion of 1 in f 1.565 * [taylor]: Taking taylor expansion of (- E 1) in n 1.565 * [taylor]: Taking taylor expansion of E in n 1.565 * [taylor]: Taking taylor expansion of 1 in n 1.568 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 1.568 * [taylor]: Taking taylor expansion of 2 in n 1.568 * [taylor]: Taking taylor expansion of (/ E n) in n 1.568 * [taylor]: Taking taylor expansion of E in n 1.568 * [taylor]: Taking taylor expansion of n in n 1.571 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 1.572 * [taylor]: Taking taylor expansion of 4 in n 1.572 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 1.572 * [taylor]: Taking taylor expansion of E in n 1.572 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.572 * [taylor]: Taking taylor expansion of n in n 1.579 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 1.579 * [taylor]: Taking taylor expansion of 22/3 in n 1.579 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 1.579 * [taylor]: Taking taylor expansion of E in n 1.579 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.579 * [taylor]: Taking taylor expansion of n in n 1.585 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 1.585 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.585 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.585 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.585 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.586 * [taylor]: Taking taylor expansion of -1 in n 1.586 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.586 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.586 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.586 * [taylor]: Taking taylor expansion of f in n 1.586 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.586 * [taylor]: Taking taylor expansion of n in n 1.586 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.586 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.586 * [taylor]: Taking taylor expansion of f in n 1.586 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.586 * [taylor]: Taking taylor expansion of n in n 1.587 * [taylor]: Taking taylor expansion of 1 in n 1.588 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.588 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.588 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.588 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.588 * [taylor]: Taking taylor expansion of -1 in f 1.588 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.588 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.588 * [taylor]: Taking taylor expansion of f in f 1.588 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.588 * [taylor]: Taking taylor expansion of n in f 1.588 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.588 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.588 * [taylor]: Taking taylor expansion of f in f 1.588 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.588 * [taylor]: Taking taylor expansion of n in f 1.590 * [taylor]: Taking taylor expansion of 1 in f 1.590 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.590 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.590 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.590 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.590 * [taylor]: Taking taylor expansion of -1 in f 1.590 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.590 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.590 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.590 * [taylor]: Taking taylor expansion of f in f 1.590 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.590 * [taylor]: Taking taylor expansion of n in f 1.590 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.590 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.590 * [taylor]: Taking taylor expansion of f in f 1.590 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.591 * [taylor]: Taking taylor expansion of n in f 1.592 * [taylor]: Taking taylor expansion of 1 in f 1.593 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 1.593 * [taylor]: Taking taylor expansion of (exp -1) in n 1.593 * [taylor]: Taking taylor expansion of -1 in n 1.593 * [taylor]: Taking taylor expansion of 1 in n 1.597 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 1.597 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 1.597 * [taylor]: Taking taylor expansion of 2 in n 1.597 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.597 * [taylor]: Taking taylor expansion of (exp -1) in n 1.597 * [taylor]: Taking taylor expansion of -1 in n 1.597 * [taylor]: Taking taylor expansion of n in n 1.604 * [taylor]: Taking taylor expansion of 0 in n 1.613 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 1.613 * [taylor]: Taking taylor expansion of 2/3 in n 1.613 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 1.613 * [taylor]: Taking taylor expansion of (exp -1) in n 1.613 * [taylor]: Taking taylor expansion of -1 in n 1.613 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.614 * [taylor]: Taking taylor expansion of n in n 1.629 * [approximate]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 1.629 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.629 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.629 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.629 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.629 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.629 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.629 * [taylor]: Taking taylor expansion of f in n 1.629 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.629 * [taylor]: Taking taylor expansion of n in n 1.629 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.629 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.629 * [taylor]: Taking taylor expansion of n in n 1.630 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.630 * [taylor]: Taking taylor expansion of f in n 1.631 * [taylor]: Taking taylor expansion of 1 in n 1.631 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.631 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.631 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.631 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.631 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.631 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.631 * [taylor]: Taking taylor expansion of f in f 1.631 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.631 * [taylor]: Taking taylor expansion of n in f 1.631 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.631 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.631 * [taylor]: Taking taylor expansion of n in f 1.631 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.631 * [taylor]: Taking taylor expansion of f in f 1.633 * [taylor]: Taking taylor expansion of 1 in f 1.633 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.633 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.633 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.633 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.633 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.633 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.633 * [taylor]: Taking taylor expansion of f in f 1.633 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.633 * [taylor]: Taking taylor expansion of n in f 1.633 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.633 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.633 * [taylor]: Taking taylor expansion of n in f 1.633 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.633 * [taylor]: Taking taylor expansion of f in f 1.635 * [taylor]: Taking taylor expansion of 1 in f 1.636 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 1.636 * [taylor]: Taking taylor expansion of (exp -1) in n 1.636 * [taylor]: Taking taylor expansion of -1 in n 1.636 * [taylor]: Taking taylor expansion of 1 in n 1.640 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 1.640 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 1.640 * [taylor]: Taking taylor expansion of 2 in n 1.640 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.640 * [taylor]: Taking taylor expansion of (exp -1) in n 1.640 * [taylor]: Taking taylor expansion of -1 in n 1.640 * [taylor]: Taking taylor expansion of n in n 1.647 * [taylor]: Taking taylor expansion of 0 in n 1.655 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 1.655 * [taylor]: Taking taylor expansion of 2/3 in n 1.655 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 1.655 * [taylor]: Taking taylor expansion of (exp -1) in n 1.655 * [taylor]: Taking taylor expansion of -1 in n 1.656 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.656 * [taylor]: Taking taylor expansion of n in n 1.665 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.665 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 1.665 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in n 1.665 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 1.665 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in n 1.665 * [taylor]: Taking taylor expansion of 1 in n 1.665 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 1.666 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.666 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 1.666 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.666 * [taylor]: Taking taylor expansion of -1 in n 1.666 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.666 * [taylor]: Taking taylor expansion of (+ n f) in n 1.666 * [taylor]: Taking taylor expansion of n in n 1.666 * [taylor]: Taking taylor expansion of f in n 1.666 * [taylor]: Taking taylor expansion of (- f n) in n 1.666 * [taylor]: Taking taylor expansion of f in n 1.666 * [taylor]: Taking taylor expansion of n in n 1.667 * [taylor]: Taking taylor expansion of 1 in n 1.669 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 1.669 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 1.669 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 1.669 * [taylor]: Taking taylor expansion of 1 in f 1.669 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 1.669 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.669 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.669 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.669 * [taylor]: Taking taylor expansion of -1 in f 1.669 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.669 * [taylor]: Taking taylor expansion of (+ n f) in f 1.669 * [taylor]: Taking taylor expansion of n in f 1.669 * [taylor]: Taking taylor expansion of f in f 1.669 * [taylor]: Taking taylor expansion of (- f n) in f 1.669 * [taylor]: Taking taylor expansion of f in f 1.669 * [taylor]: Taking taylor expansion of n in f 1.670 * [taylor]: Taking taylor expansion of 1 in f 1.671 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 1.671 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 1.671 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 1.671 * [taylor]: Taking taylor expansion of 1 in f 1.671 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 1.671 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.671 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.671 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.671 * [taylor]: Taking taylor expansion of -1 in f 1.671 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.671 * [taylor]: Taking taylor expansion of (+ n f) in f 1.671 * [taylor]: Taking taylor expansion of n in f 1.671 * [taylor]: Taking taylor expansion of f in f 1.671 * [taylor]: Taking taylor expansion of (- f n) in f 1.671 * [taylor]: Taking taylor expansion of f in f 1.671 * [taylor]: Taking taylor expansion of n in f 1.671 * [taylor]: Taking taylor expansion of 1 in f 1.673 * [taylor]: Taking taylor expansion of 1 in n 1.675 * [taylor]: Taking taylor expansion of (/ 2 n) in n 1.675 * [taylor]: Taking taylor expansion of 2 in n 1.675 * [taylor]: Taking taylor expansion of n in n 1.680 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 1.680 * [taylor]: Taking taylor expansion of 2 in n 1.680 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.680 * [taylor]: Taking taylor expansion of n in n 1.687 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 1.687 * [taylor]: Taking taylor expansion of 2 in n 1.687 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.687 * [taylor]: Taking taylor expansion of n in n 1.693 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 1.693 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 1.693 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 1.693 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 1.693 * [taylor]: Taking taylor expansion of 1 in n 1.693 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.693 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.693 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.693 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.693 * [taylor]: Taking taylor expansion of -1 in n 1.693 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.693 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.693 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.693 * [taylor]: Taking taylor expansion of f in n 1.693 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.693 * [taylor]: Taking taylor expansion of n in n 1.693 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.693 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.694 * [taylor]: Taking taylor expansion of f in n 1.694 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.694 * [taylor]: Taking taylor expansion of n in n 1.695 * [taylor]: Taking taylor expansion of 1 in n 1.696 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.697 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 1.697 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.697 * [taylor]: Taking taylor expansion of 1 in f 1.697 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.697 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.697 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.697 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.697 * [taylor]: Taking taylor expansion of -1 in f 1.697 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.697 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.697 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.697 * [taylor]: Taking taylor expansion of f in f 1.697 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.697 * [taylor]: Taking taylor expansion of n in f 1.697 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.697 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.697 * [taylor]: Taking taylor expansion of f in f 1.697 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.698 * [taylor]: Taking taylor expansion of n in f 1.699 * [taylor]: Taking taylor expansion of 1 in f 1.701 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.701 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 1.701 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.701 * [taylor]: Taking taylor expansion of 1 in f 1.701 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.701 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.701 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.701 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.701 * [taylor]: Taking taylor expansion of -1 in f 1.701 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.701 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.701 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.701 * [taylor]: Taking taylor expansion of f in f 1.702 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.702 * [taylor]: Taking taylor expansion of n in f 1.702 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.702 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.702 * [taylor]: Taking taylor expansion of f in f 1.702 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.702 * [taylor]: Taking taylor expansion of n in f 1.703 * [taylor]: Taking taylor expansion of 1 in f 1.705 * [taylor]: Taking taylor expansion of -1 in n 1.715 * [taylor]: Taking taylor expansion of (/ -2 n) in n 1.715 * [taylor]: Taking taylor expansion of -2 in n 1.715 * [taylor]: Taking taylor expansion of n in n 1.722 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 1.722 * [taylor]: Taking taylor expansion of -2 in n 1.722 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.722 * [taylor]: Taking taylor expansion of n in n 1.734 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 1.734 * [taylor]: Taking taylor expansion of -2 in n 1.734 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.734 * [taylor]: Taking taylor expansion of n in n 1.740 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 1.740 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 1.740 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1.740 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 1.740 * [taylor]: Taking taylor expansion of 1 in n 1.740 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.740 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.740 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.740 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.740 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.740 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.740 * [taylor]: Taking taylor expansion of f in n 1.740 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.740 * [taylor]: Taking taylor expansion of n in n 1.740 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.740 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.740 * [taylor]: Taking taylor expansion of n in n 1.741 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.741 * [taylor]: Taking taylor expansion of f in n 1.742 * [taylor]: Taking taylor expansion of 1 in n 1.743 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.743 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1.743 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.743 * [taylor]: Taking taylor expansion of 1 in f 1.743 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.743 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.743 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.743 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.743 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.743 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.743 * [taylor]: Taking taylor expansion of f in f 1.743 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.743 * [taylor]: Taking taylor expansion of n in f 1.743 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.743 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.743 * [taylor]: Taking taylor expansion of n in f 1.743 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.743 * [taylor]: Taking taylor expansion of f in f 1.745 * [taylor]: Taking taylor expansion of 1 in f 1.747 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.747 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1.747 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.747 * [taylor]: Taking taylor expansion of 1 in f 1.747 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.747 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.747 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.747 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.747 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.747 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.747 * [taylor]: Taking taylor expansion of f in f 1.748 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.748 * [taylor]: Taking taylor expansion of n in f 1.748 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.748 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.748 * [taylor]: Taking taylor expansion of n in f 1.748 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.748 * [taylor]: Taking taylor expansion of f in f 1.749 * [taylor]: Taking taylor expansion of 1 in f 1.752 * [taylor]: Taking taylor expansion of -1 in n 1.755 * [taylor]: Taking taylor expansion of (/ -2 n) in n 1.756 * [taylor]: Taking taylor expansion of -2 in n 1.756 * [taylor]: Taking taylor expansion of n in n 1.762 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 1.762 * [taylor]: Taking taylor expansion of -2 in n 1.762 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.762 * [taylor]: Taking taylor expansion of n in n 1.773 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 1.773 * [taylor]: Taking taylor expansion of -2 in n 1.773 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.773 * [taylor]: Taking taylor expansion of n in n 1.778 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.779 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.779 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.779 * [taylor]: Taking taylor expansion of -1 in n 1.779 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.779 * [taylor]: Taking taylor expansion of (+ n f) in n 1.779 * [taylor]: Taking taylor expansion of n in n 1.779 * [taylor]: Taking taylor expansion of f in n 1.779 * [taylor]: Taking taylor expansion of (- f n) in n 1.779 * [taylor]: Taking taylor expansion of f in n 1.779 * [taylor]: Taking taylor expansion of n in n 1.779 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.779 * [taylor]: Taking taylor expansion of -1 in f 1.779 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.779 * [taylor]: Taking taylor expansion of (+ n f) in f 1.779 * [taylor]: Taking taylor expansion of n in f 1.779 * [taylor]: Taking taylor expansion of f in f 1.779 * [taylor]: Taking taylor expansion of (- f n) in f 1.779 * [taylor]: Taking taylor expansion of f in f 1.779 * [taylor]: Taking taylor expansion of n in f 1.779 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.779 * [taylor]: Taking taylor expansion of -1 in f 1.779 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.779 * [taylor]: Taking taylor expansion of (+ n f) in f 1.779 * [taylor]: Taking taylor expansion of n in f 1.779 * [taylor]: Taking taylor expansion of f in f 1.779 * [taylor]: Taking taylor expansion of (- f n) in f 1.780 * [taylor]: Taking taylor expansion of f in f 1.780 * [taylor]: Taking taylor expansion of n in f 1.780 * [taylor]: Taking taylor expansion of 1 in n 1.781 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.781 * [taylor]: Taking taylor expansion of 2 in n 1.781 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.781 * [taylor]: Taking taylor expansion of n in n 1.784 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.784 * [taylor]: Taking taylor expansion of 2 in n 1.784 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.784 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.784 * [taylor]: Taking taylor expansion of n in n 1.789 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.789 * [taylor]: Taking taylor expansion of 2 in n 1.789 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.789 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.789 * [taylor]: Taking taylor expansion of n in n 1.795 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.795 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.795 * [taylor]: Taking taylor expansion of -1 in n 1.795 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.795 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.795 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.795 * [taylor]: Taking taylor expansion of f in n 1.795 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.795 * [taylor]: Taking taylor expansion of n in n 1.796 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.796 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.796 * [taylor]: Taking taylor expansion of f in n 1.796 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.796 * [taylor]: Taking taylor expansion of n in n 1.797 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.797 * [taylor]: Taking taylor expansion of -1 in f 1.797 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.797 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.797 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.797 * [taylor]: Taking taylor expansion of f in f 1.797 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.797 * [taylor]: Taking taylor expansion of n in f 1.797 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.797 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.802 * [taylor]: Taking taylor expansion of f in f 1.803 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.803 * [taylor]: Taking taylor expansion of n in f 1.804 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.804 * [taylor]: Taking taylor expansion of -1 in f 1.804 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.804 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.804 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.804 * [taylor]: Taking taylor expansion of f in f 1.804 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.804 * [taylor]: Taking taylor expansion of n in f 1.804 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.804 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.804 * [taylor]: Taking taylor expansion of f in f 1.804 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.804 * [taylor]: Taking taylor expansion of n in f 1.805 * [taylor]: Taking taylor expansion of -1 in n 1.807 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.807 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.807 * [taylor]: Taking taylor expansion of 2 in n 1.807 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.807 * [taylor]: Taking taylor expansion of n in n 1.812 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.812 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.812 * [taylor]: Taking taylor expansion of 2 in n 1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.812 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.812 * [taylor]: Taking taylor expansion of n in n 1.819 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.819 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.819 * [taylor]: Taking taylor expansion of 2 in n 1.820 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.820 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.820 * [taylor]: Taking taylor expansion of n in n 1.825 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.826 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.826 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.826 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.826 * [taylor]: Taking taylor expansion of f in n 1.826 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.826 * [taylor]: Taking taylor expansion of n in n 1.826 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.826 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.826 * [taylor]: Taking taylor expansion of n in n 1.826 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.826 * [taylor]: Taking taylor expansion of f in n 1.827 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.827 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.827 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.827 * [taylor]: Taking taylor expansion of f in f 1.827 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.827 * [taylor]: Taking taylor expansion of n in f 1.827 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.827 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.827 * [taylor]: Taking taylor expansion of n in f 1.828 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.828 * [taylor]: Taking taylor expansion of f in f 1.829 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.829 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.829 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.829 * [taylor]: Taking taylor expansion of f in f 1.829 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.829 * [taylor]: Taking taylor expansion of n in f 1.829 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.829 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.829 * [taylor]: Taking taylor expansion of n in f 1.829 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.829 * [taylor]: Taking taylor expansion of f in f 1.831 * [taylor]: Taking taylor expansion of -1 in n 1.832 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.832 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.832 * [taylor]: Taking taylor expansion of 2 in n 1.832 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.832 * [taylor]: Taking taylor expansion of n in n 1.836 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.836 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.836 * [taylor]: Taking taylor expansion of 2 in n 1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.836 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.836 * [taylor]: Taking taylor expansion of n in n 1.843 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.843 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.843 * [taylor]: Taking taylor expansion of 2 in n 1.843 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.843 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.843 * [taylor]: Taking taylor expansion of n in n 1.849 * * * [progress]: simplifying candidates 1.851 * [simplify]: Simplifying using # : (exp (/ (- (+ f n)) (- f n))) (expm1 (expm1 (/ (- (+ f n)) (- f n)))) (log1p (expm1 (/ (- (+ f n)) (- f n)))) (log (expm1 (/ (- (+ f n)) (- f n)))) (exp (expm1 (/ (- (+ f n)) (- f n)))) (* (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (cbrt (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (* (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (+ 1 (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log1p (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log (log1p (expm1 (/ (- (+ f n)) (- f n))))) (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))) (* (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n)))))) (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (* (* (log1p (expm1 (/ (- (+ f n)) (- f n)))) (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log1p (expm1 (/ (- (+ f n)) (- f n))))) (sqrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (sqrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (expm1 (/ (- (+ 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)) (- E 1) (- (exp -1) 1) (- (exp -1) 1) 1 -1 -1 1 -1 -1 1.857 * * [simplify]: iteration 0 : 323 enodes (cost 918 ) 1.861 * * [simplify]: iteration 1 : 971 enodes (cost 882 ) 1.875 * * [simplify]: iteration 2 : 3076 enodes (cost 867 ) 1.913 * * [simplify]: iteration 3 : 5001 enodes (cost 867 ) 1.917 * [simplify]: Simplified to: (exp (/ (- (+ f n)) (- f n))) (expm1 (expm1 (/ (- (+ f n)) (- f n)))) (/ (- (+ f n)) (- f n)) (log (expm1 (/ (- (+ f n)) (- f n)))) (exp (expm1 (/ (- (+ f n)) (- f n)))) (* (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (cbrt (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (pow (expm1 (/ (- (+ f n)) (- f n))) 3) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (+ 1 (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ 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)) (- E 1) (expm1 -1) (expm1 -1) 1 -1 -1 1 -1 -1 1.917 * * * [progress]: adding candidates to table 2.162 * * [progress]: iteration 4 / 4 2.162 * * * [progress]: picking best candidate 2.167 * * * * [pick]: Picked # 2.167 * * * [progress]: localizing error 2.180 * * * [progress]: generating rewritten candidates 2.180 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.182 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 2.185 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 2.187 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.193 * * * [progress]: generating series expansions 2.193 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.193 * [approximate]: Taking taylor expansion of (pow (- f n) 1/3) in (f n) around 0 2.193 * [taylor]: Taking taylor expansion of (pow (- f n) 1/3) in n 2.193 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in n 2.193 * [taylor]: Taking taylor expansion of (* 1/3 (log (- f n))) in n 2.193 * [taylor]: Taking taylor expansion of 1/3 in n 2.193 * [taylor]: Taking taylor expansion of (log (- f n)) in n 2.193 * [taylor]: Taking taylor expansion of (- f n) in n 2.193 * [taylor]: Taking taylor expansion of f in n 2.193 * [taylor]: Taking taylor expansion of n in n 2.194 * [taylor]: Taking taylor expansion of (pow (- f n) 1/3) in f 2.194 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f 2.194 * [taylor]: Taking taylor expansion of (* 1/3 (log (- f n))) in f 2.194 * [taylor]: Taking taylor expansion of 1/3 in f 2.194 * [taylor]: Taking taylor expansion of (log (- f n)) in f 2.194 * [taylor]: Taking taylor expansion of (- f n) in f 2.194 * [taylor]: Taking taylor expansion of f in f 2.194 * [taylor]: Taking taylor expansion of n in f 2.194 * [taylor]: Taking taylor expansion of (pow (- f n) 1/3) in f 2.194 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f 2.194 * [taylor]: Taking taylor expansion of (* 1/3 (log (- f n))) in f 2.194 * [taylor]: Taking taylor expansion of 1/3 in f 2.194 * [taylor]: Taking taylor expansion of (log (- f n)) in f 2.194 * [taylor]: Taking taylor expansion of (- f n) in f 2.194 * [taylor]: Taking taylor expansion of f in f 2.194 * [taylor]: Taking taylor expansion of n in f 2.194 * [taylor]: Taking taylor expansion of (pow (- n) 1/3) in n 2.194 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- n)))) in n 2.194 * [taylor]: Taking taylor expansion of (* 1/3 (log (- n))) in n 2.194 * [taylor]: Taking taylor expansion of 1/3 in n 2.194 * [taylor]: Taking taylor expansion of (log (- n)) in n 2.194 * [taylor]: Taking taylor expansion of (- n) in n 2.194 * [taylor]: Taking taylor expansion of n in n 2.198 * [taylor]: Taking taylor expansion of (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) in n 2.198 * [taylor]: Taking taylor expansion of -1/3 in n 2.198 * [taylor]: Taking taylor expansion of (pow (/ -1 (pow n 2)) 1/3) in n 2.198 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow n 2))))) in n 2.198 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ -1 (pow n 2)))) in n 2.198 * [taylor]: Taking taylor expansion of 1/3 in n 2.198 * [taylor]: Taking taylor expansion of (log (/ -1 (pow n 2))) in n 2.198 * [taylor]: Taking taylor expansion of (/ -1 (pow n 2)) in n 2.198 * [taylor]: Taking taylor expansion of -1 in n 2.198 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.198 * [taylor]: Taking taylor expansion of n in n 2.206 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) in n 2.206 * [taylor]: Taking taylor expansion of -1/9 in n 2.206 * [taylor]: Taking taylor expansion of (pow (/ -1 (pow n 5)) 1/3) in n 2.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow n 5))))) in n 2.206 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ -1 (pow n 5)))) in n 2.206 * [taylor]: Taking taylor expansion of 1/3 in n 2.206 * [taylor]: Taking taylor expansion of (log (/ -1 (pow n 5))) in n 2.206 * [taylor]: Taking taylor expansion of (/ -1 (pow n 5)) in n 2.206 * [taylor]: Taking taylor expansion of -1 in n 2.206 * [taylor]: Taking taylor expansion of (pow n 5) in n 2.206 * [taylor]: Taking taylor expansion of n in n 2.210 * [approximate]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in (f n) around 0 2.210 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in n 2.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in n 2.210 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in n 2.211 * [taylor]: Taking taylor expansion of 1/3 in n 2.211 * [taylor]: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in n 2.211 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.211 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.211 * [taylor]: Taking taylor expansion of f in n 2.211 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.211 * [taylor]: Taking taylor expansion of n in n 2.213 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in f 2.213 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f 2.213 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f 2.213 * [taylor]: Taking taylor expansion of 1/3 in f 2.213 * [taylor]: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f 2.213 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.213 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.213 * [taylor]: Taking taylor expansion of f in f 2.213 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.213 * [taylor]: Taking taylor expansion of n in f 2.214 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in f 2.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f 2.214 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f 2.214 * [taylor]: Taking taylor expansion of 1/3 in f 2.214 * [taylor]: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f 2.214 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.214 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.214 * [taylor]: Taking taylor expansion of f in f 2.214 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.215 * [taylor]: Taking taylor expansion of n in f 2.215 * [taylor]: Taking taylor expansion of (pow f -1/3) in n 2.215 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log f))) in n 2.215 * [taylor]: Taking taylor expansion of (* -1/3 (log f)) in n 2.216 * [taylor]: Taking taylor expansion of -1/3 in n 2.216 * [taylor]: Taking taylor expansion of (log f) in n 2.216 * [taylor]: Taking taylor expansion of f in n 2.221 * [taylor]: Taking taylor expansion of (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) in n 2.221 * [taylor]: Taking taylor expansion of -1/3 in n 2.221 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 f) 1/3)) in n 2.221 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.221 * [taylor]: Taking taylor expansion of n in n 2.222 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 2.222 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 2.222 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 2.222 * [taylor]: Taking taylor expansion of 1/3 in n 2.222 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 2.222 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.222 * [taylor]: Taking taylor expansion of f in n 2.229 * [taylor]: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) in n 2.229 * [taylor]: Taking taylor expansion of -1/9 in n 2.229 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)) in n 2.229 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.229 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.229 * [taylor]: Taking taylor expansion of n in n 2.229 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 2.229 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 2.229 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 2.229 * [taylor]: Taking taylor expansion of 1/3 in n 2.229 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 2.229 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.229 * [taylor]: Taking taylor expansion of f in n 2.247 * [taylor]: Taking taylor expansion of (* -5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) in n 2.247 * [taylor]: Taking taylor expansion of -5/81 in n 2.247 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)) in n 2.247 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.247 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.247 * [taylor]: Taking taylor expansion of n in n 2.248 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 2.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 2.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 2.248 * [taylor]: Taking taylor expansion of 1/3 in n 2.248 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 2.248 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.248 * [taylor]: Taking taylor expansion of f in n 2.262 * [approximate]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in (f n) around 0 2.262 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in n 2.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 n) (/ 1 f))))) in n 2.262 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 n) (/ 1 f)))) in n 2.262 * [taylor]: Taking taylor expansion of 1/3 in n 2.262 * [taylor]: Taking taylor expansion of (log (- (/ 1 n) (/ 1 f))) in n 2.262 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.262 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.262 * [taylor]: Taking taylor expansion of n in n 2.263 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.263 * [taylor]: Taking taylor expansion of f in n 2.264 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in f 2.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 n) (/ 1 f))))) in f 2.264 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 n) (/ 1 f)))) in f 2.264 * [taylor]: Taking taylor expansion of 1/3 in f 2.264 * [taylor]: Taking taylor expansion of (log (- (/ 1 n) (/ 1 f))) in f 2.264 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.264 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.264 * [taylor]: Taking taylor expansion of n in f 2.264 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.264 * [taylor]: Taking taylor expansion of f in f 2.266 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in f 2.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 n) (/ 1 f))))) in f 2.266 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 n) (/ 1 f)))) in f 2.266 * [taylor]: Taking taylor expansion of 1/3 in f 2.266 * [taylor]: Taking taylor expansion of (log (- (/ 1 n) (/ 1 f))) in f 2.266 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.266 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.266 * [taylor]: Taking taylor expansion of n in f 2.266 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.266 * [taylor]: Taking taylor expansion of f in f 2.269 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n 2.269 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n 2.269 * [taylor]: Taking taylor expansion of 1/3 in n 2.269 * [taylor]: Taking taylor expansion of (- (log -1) (log f)) in n 2.269 * [taylor]: Taking taylor expansion of (log -1) in n 2.269 * [taylor]: Taking taylor expansion of -1 in n 2.269 * [taylor]: Taking taylor expansion of (log f) in n 2.269 * [taylor]: Taking taylor expansion of f in n 2.272 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) in n 2.273 * [taylor]: Taking taylor expansion of -1/3 in n 2.273 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) n) in n 2.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n 2.273 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n 2.273 * [taylor]: Taking taylor expansion of 1/3 in n 2.273 * [taylor]: Taking taylor expansion of (- (log -1) (log f)) in n 2.273 * [taylor]: Taking taylor expansion of (log -1) in n 2.273 * [taylor]: Taking taylor expansion of -1 in n 2.273 * [taylor]: Taking taylor expansion of (log f) in n 2.273 * [taylor]: Taking taylor expansion of f in n 2.274 * [taylor]: Taking taylor expansion of n in n 2.285 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) in n 2.285 * [taylor]: Taking taylor expansion of -1/9 in n 2.285 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)) in n 2.285 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n 2.285 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n 2.285 * [taylor]: Taking taylor expansion of 1/3 in n 2.285 * [taylor]: Taking taylor expansion of (- (log -1) (log f)) in n 2.285 * [taylor]: Taking taylor expansion of (log -1) in n 2.285 * [taylor]: Taking taylor expansion of -1 in n 2.285 * [taylor]: Taking taylor expansion of (log f) in n 2.285 * [taylor]: Taking taylor expansion of f in n 2.286 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.286 * [taylor]: Taking taylor expansion of n in n 2.319 * [taylor]: Taking taylor expansion of (* -5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3))) in n 2.319 * [taylor]: Taking taylor expansion of -5/81 in n 2.319 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3)) in n 2.319 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n 2.319 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n 2.319 * [taylor]: Taking taylor expansion of 1/3 in n 2.319 * [taylor]: Taking taylor expansion of (- (log -1) (log f)) in n 2.319 * [taylor]: Taking taylor expansion of (log -1) in n 2.319 * [taylor]: Taking taylor expansion of -1 in n 2.320 * [taylor]: Taking taylor expansion of (log f) in n 2.320 * [taylor]: Taking taylor expansion of f in n 2.321 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.321 * [taylor]: Taking taylor expansion of n in n 2.343 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 2.343 * [approximate]: Taking taylor expansion of (pow (- f n) 1/3) in (f n) around 0 2.343 * [taylor]: Taking taylor expansion of (pow (- f n) 1/3) in n 2.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in n 2.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (- f n))) in n 2.344 * [taylor]: Taking taylor expansion of 1/3 in n 2.344 * [taylor]: Taking taylor expansion of (log (- f n)) in n 2.344 * [taylor]: Taking taylor expansion of (- f n) in n 2.344 * [taylor]: Taking taylor expansion of f in n 2.344 * [taylor]: Taking taylor expansion of n in n 2.344 * [taylor]: Taking taylor expansion of (pow (- f n) 1/3) in f 2.344 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f 2.344 * [taylor]: Taking taylor expansion of (* 1/3 (log (- f n))) in f 2.344 * [taylor]: Taking taylor expansion of 1/3 in f 2.344 * [taylor]: Taking taylor expansion of (log (- f n)) in f 2.344 * [taylor]: Taking taylor expansion of (- f n) in f 2.344 * [taylor]: Taking taylor expansion of f in f 2.344 * [taylor]: Taking taylor expansion of n in f 2.344 * [taylor]: Taking taylor expansion of (pow (- f n) 1/3) in f 2.344 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f 2.344 * [taylor]: Taking taylor expansion of (* 1/3 (log (- f n))) in f 2.344 * [taylor]: Taking taylor expansion of 1/3 in f 2.344 * [taylor]: Taking taylor expansion of (log (- f n)) in f 2.344 * [taylor]: Taking taylor expansion of (- f n) in f 2.344 * [taylor]: Taking taylor expansion of f in f 2.344 * [taylor]: Taking taylor expansion of n in f 2.344 * [taylor]: Taking taylor expansion of (pow (- n) 1/3) in n 2.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- n)))) in n 2.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (- n))) in n 2.345 * [taylor]: Taking taylor expansion of 1/3 in n 2.345 * [taylor]: Taking taylor expansion of (log (- n)) in n 2.345 * [taylor]: Taking taylor expansion of (- n) in n 2.345 * [taylor]: Taking taylor expansion of n in n 2.348 * [taylor]: Taking taylor expansion of (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) in n 2.348 * [taylor]: Taking taylor expansion of -1/3 in n 2.348 * [taylor]: Taking taylor expansion of (pow (/ -1 (pow n 2)) 1/3) in n 2.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow n 2))))) in n 2.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ -1 (pow n 2)))) in n 2.348 * [taylor]: Taking taylor expansion of 1/3 in n 2.348 * [taylor]: Taking taylor expansion of (log (/ -1 (pow n 2))) in n 2.349 * [taylor]: Taking taylor expansion of (/ -1 (pow n 2)) in n 2.349 * [taylor]: Taking taylor expansion of -1 in n 2.349 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.349 * [taylor]: Taking taylor expansion of n in n 2.356 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) in n 2.356 * [taylor]: Taking taylor expansion of -1/9 in n 2.356 * [taylor]: Taking taylor expansion of (pow (/ -1 (pow n 5)) 1/3) in n 2.356 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow n 5))))) in n 2.356 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ -1 (pow n 5)))) in n 2.356 * [taylor]: Taking taylor expansion of 1/3 in n 2.356 * [taylor]: Taking taylor expansion of (log (/ -1 (pow n 5))) in n 2.357 * [taylor]: Taking taylor expansion of (/ -1 (pow n 5)) in n 2.357 * [taylor]: Taking taylor expansion of -1 in n 2.357 * [taylor]: Taking taylor expansion of (pow n 5) in n 2.357 * [taylor]: Taking taylor expansion of n in n 2.361 * [approximate]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in (f n) around 0 2.361 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in n 2.361 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in n 2.361 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in n 2.361 * [taylor]: Taking taylor expansion of 1/3 in n 2.361 * [taylor]: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in n 2.361 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.361 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.361 * [taylor]: Taking taylor expansion of f in n 2.361 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.361 * [taylor]: Taking taylor expansion of n in n 2.363 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in f 2.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f 2.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f 2.363 * [taylor]: Taking taylor expansion of 1/3 in f 2.363 * [taylor]: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f 2.363 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.363 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.363 * [taylor]: Taking taylor expansion of f in f 2.363 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.364 * [taylor]: Taking taylor expansion of n in f 2.364 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in f 2.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f 2.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f 2.365 * [taylor]: Taking taylor expansion of 1/3 in f 2.365 * [taylor]: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f 2.365 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.365 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.365 * [taylor]: Taking taylor expansion of f in f 2.365 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.365 * [taylor]: Taking taylor expansion of n in f 2.366 * [taylor]: Taking taylor expansion of (pow f -1/3) in n 2.366 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log f))) in n 2.366 * [taylor]: Taking taylor expansion of (* -1/3 (log f)) in n 2.366 * [taylor]: Taking taylor expansion of -1/3 in n 2.366 * [taylor]: Taking taylor expansion of (log f) in n 2.366 * [taylor]: Taking taylor expansion of f in n 2.368 * [taylor]: Taking taylor expansion of (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) in n 2.368 * [taylor]: Taking taylor expansion of -1/3 in n 2.368 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 f) 1/3)) in n 2.368 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.368 * [taylor]: Taking taylor expansion of n in n 2.368 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 2.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 2.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 2.368 * [taylor]: Taking taylor expansion of 1/3 in n 2.368 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 2.368 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.368 * [taylor]: Taking taylor expansion of f in n 2.375 * [taylor]: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) in n 2.375 * [taylor]: Taking taylor expansion of -1/9 in n 2.375 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)) in n 2.375 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.375 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.375 * [taylor]: Taking taylor expansion of n in n 2.376 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 2.376 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 2.376 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 2.376 * [taylor]: Taking taylor expansion of 1/3 in n 2.376 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 2.376 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.376 * [taylor]: Taking taylor expansion of f in n 2.394 * [taylor]: Taking taylor expansion of (* -5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) in n 2.394 * [taylor]: Taking taylor expansion of -5/81 in n 2.394 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)) in n 2.394 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.394 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.394 * [taylor]: Taking taylor expansion of n in n 2.394 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 2.395 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 2.395 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 2.395 * [taylor]: Taking taylor expansion of 1/3 in n 2.395 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 2.395 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.395 * [taylor]: Taking taylor expansion of f in n 2.415 * [approximate]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in (f n) around 0 2.415 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in n 2.415 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 n) (/ 1 f))))) in n 2.415 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 n) (/ 1 f)))) in n 2.415 * [taylor]: Taking taylor expansion of 1/3 in n 2.415 * [taylor]: Taking taylor expansion of (log (- (/ 1 n) (/ 1 f))) in n 2.415 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.415 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.415 * [taylor]: Taking taylor expansion of n in n 2.415 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.415 * [taylor]: Taking taylor expansion of f in n 2.416 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in f 2.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 n) (/ 1 f))))) in f 2.416 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 n) (/ 1 f)))) in f 2.416 * [taylor]: Taking taylor expansion of 1/3 in f 2.416 * [taylor]: Taking taylor expansion of (log (- (/ 1 n) (/ 1 f))) in f 2.416 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.416 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.416 * [taylor]: Taking taylor expansion of n in f 2.417 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.417 * [taylor]: Taking taylor expansion of f in f 2.419 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in f 2.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 n) (/ 1 f))))) in f 2.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 n) (/ 1 f)))) in f 2.419 * [taylor]: Taking taylor expansion of 1/3 in f 2.419 * [taylor]: Taking taylor expansion of (log (- (/ 1 n) (/ 1 f))) in f 2.419 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.419 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.419 * [taylor]: Taking taylor expansion of n in f 2.419 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.419 * [taylor]: Taking taylor expansion of f in f 2.421 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n 2.421 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n 2.421 * [taylor]: Taking taylor expansion of 1/3 in n 2.421 * [taylor]: Taking taylor expansion of (- (log -1) (log f)) in n 2.421 * [taylor]: Taking taylor expansion of (log -1) in n 2.421 * [taylor]: Taking taylor expansion of -1 in n 2.421 * [taylor]: Taking taylor expansion of (log f) in n 2.421 * [taylor]: Taking taylor expansion of f in n 2.425 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) in n 2.425 * [taylor]: Taking taylor expansion of -1/3 in n 2.425 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) n) in n 2.425 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n 2.425 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n 2.425 * [taylor]: Taking taylor expansion of 1/3 in n 2.425 * [taylor]: Taking taylor expansion of (- (log -1) (log f)) in n 2.425 * [taylor]: Taking taylor expansion of (log -1) in n 2.425 * [taylor]: Taking taylor expansion of -1 in n 2.426 * [taylor]: Taking taylor expansion of (log f) in n 2.426 * [taylor]: Taking taylor expansion of f in n 2.426 * [taylor]: Taking taylor expansion of n in n 2.438 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) in n 2.438 * [taylor]: Taking taylor expansion of -1/9 in n 2.438 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)) in n 2.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n 2.438 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n 2.438 * [taylor]: Taking taylor expansion of 1/3 in n 2.438 * [taylor]: Taking taylor expansion of (- (log -1) (log f)) in n 2.438 * [taylor]: Taking taylor expansion of (log -1) in n 2.439 * [taylor]: Taking taylor expansion of -1 in n 2.439 * [taylor]: Taking taylor expansion of (log f) in n 2.439 * [taylor]: Taking taylor expansion of f in n 2.440 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.440 * [taylor]: Taking taylor expansion of n in n 2.468 * [taylor]: Taking taylor expansion of (* -5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3))) in n 2.469 * [taylor]: Taking taylor expansion of -5/81 in n 2.469 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3)) in n 2.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n 2.469 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n 2.469 * [taylor]: Taking taylor expansion of 1/3 in n 2.469 * [taylor]: Taking taylor expansion of (- (log -1) (log f)) in n 2.469 * [taylor]: Taking taylor expansion of (log -1) in n 2.469 * [taylor]: Taking taylor expansion of -1 in n 2.469 * [taylor]: Taking taylor expansion of (log f) in n 2.469 * [taylor]: Taking taylor expansion of f in n 2.470 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.470 * [taylor]: Taking taylor expansion of n in n 2.499 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.499 * [approximate]: Taking taylor expansion of (pow (- f n) 1/3) in (f n) around 0 2.499 * [taylor]: Taking taylor expansion of (pow (- f n) 1/3) in n 2.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in n 2.499 * [taylor]: Taking taylor expansion of (* 1/3 (log (- f n))) in n 2.499 * [taylor]: Taking taylor expansion of 1/3 in n 2.499 * [taylor]: Taking taylor expansion of (log (- f n)) in n 2.499 * [taylor]: Taking taylor expansion of (- f n) in n 2.499 * [taylor]: Taking taylor expansion of f in n 2.499 * [taylor]: Taking taylor expansion of n in n 2.499 * [taylor]: Taking taylor expansion of (pow (- f n) 1/3) in f 2.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f 2.499 * [taylor]: Taking taylor expansion of (* 1/3 (log (- f n))) in f 2.499 * [taylor]: Taking taylor expansion of 1/3 in f 2.499 * [taylor]: Taking taylor expansion of (log (- f n)) in f 2.499 * [taylor]: Taking taylor expansion of (- f n) in f 2.499 * [taylor]: Taking taylor expansion of f in f 2.499 * [taylor]: Taking taylor expansion of n in f 2.499 * [taylor]: Taking taylor expansion of (pow (- f n) 1/3) in f 2.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f 2.499 * [taylor]: Taking taylor expansion of (* 1/3 (log (- f n))) in f 2.499 * [taylor]: Taking taylor expansion of 1/3 in f 2.500 * [taylor]: Taking taylor expansion of (log (- f n)) in f 2.500 * [taylor]: Taking taylor expansion of (- f n) in f 2.500 * [taylor]: Taking taylor expansion of f in f 2.500 * [taylor]: Taking taylor expansion of n in f 2.500 * [taylor]: Taking taylor expansion of (pow (- n) 1/3) in n 2.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- n)))) in n 2.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (- n))) in n 2.500 * [taylor]: Taking taylor expansion of 1/3 in n 2.500 * [taylor]: Taking taylor expansion of (log (- n)) in n 2.500 * [taylor]: Taking taylor expansion of (- n) in n 2.500 * [taylor]: Taking taylor expansion of n in n 2.503 * [taylor]: Taking taylor expansion of (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) in n 2.503 * [taylor]: Taking taylor expansion of -1/3 in n 2.503 * [taylor]: Taking taylor expansion of (pow (/ -1 (pow n 2)) 1/3) in n 2.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow n 2))))) in n 2.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ -1 (pow n 2)))) in n 2.503 * [taylor]: Taking taylor expansion of 1/3 in n 2.504 * [taylor]: Taking taylor expansion of (log (/ -1 (pow n 2))) in n 2.504 * [taylor]: Taking taylor expansion of (/ -1 (pow n 2)) in n 2.504 * [taylor]: Taking taylor expansion of -1 in n 2.504 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.504 * [taylor]: Taking taylor expansion of n in n 2.511 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) in n 2.511 * [taylor]: Taking taylor expansion of -1/9 in n 2.511 * [taylor]: Taking taylor expansion of (pow (/ -1 (pow n 5)) 1/3) in n 2.511 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow n 5))))) in n 2.511 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ -1 (pow n 5)))) in n 2.511 * [taylor]: Taking taylor expansion of 1/3 in n 2.511 * [taylor]: Taking taylor expansion of (log (/ -1 (pow n 5))) in n 2.511 * [taylor]: Taking taylor expansion of (/ -1 (pow n 5)) in n 2.511 * [taylor]: Taking taylor expansion of -1 in n 2.511 * [taylor]: Taking taylor expansion of (pow n 5) in n 2.511 * [taylor]: Taking taylor expansion of n in n 2.516 * [approximate]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in (f n) around 0 2.516 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in n 2.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in n 2.516 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in n 2.516 * [taylor]: Taking taylor expansion of 1/3 in n 2.516 * [taylor]: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in n 2.516 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.516 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.516 * [taylor]: Taking taylor expansion of f in n 2.516 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.516 * [taylor]: Taking taylor expansion of n in n 2.518 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in f 2.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f 2.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f 2.518 * [taylor]: Taking taylor expansion of 1/3 in f 2.518 * [taylor]: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f 2.518 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.518 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.518 * [taylor]: Taking taylor expansion of f in f 2.519 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.519 * [taylor]: Taking taylor expansion of n in f 2.519 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in f 2.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f 2.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f 2.520 * [taylor]: Taking taylor expansion of 1/3 in f 2.520 * [taylor]: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f 2.520 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.520 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.520 * [taylor]: Taking taylor expansion of f in f 2.520 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.520 * [taylor]: Taking taylor expansion of n in f 2.521 * [taylor]: Taking taylor expansion of (pow f -1/3) in n 2.521 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log f))) in n 2.521 * [taylor]: Taking taylor expansion of (* -1/3 (log f)) in n 2.521 * [taylor]: Taking taylor expansion of -1/3 in n 2.521 * [taylor]: Taking taylor expansion of (log f) in n 2.521 * [taylor]: Taking taylor expansion of f in n 2.523 * [taylor]: Taking taylor expansion of (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) in n 2.523 * [taylor]: Taking taylor expansion of -1/3 in n 2.523 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 f) 1/3)) in n 2.523 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.523 * [taylor]: Taking taylor expansion of n in n 2.523 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 2.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 2.523 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 2.523 * [taylor]: Taking taylor expansion of 1/3 in n 2.523 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 2.523 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.523 * [taylor]: Taking taylor expansion of f in n 2.530 * [taylor]: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) in n 2.530 * [taylor]: Taking taylor expansion of -1/9 in n 2.530 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)) in n 2.530 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.530 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.530 * [taylor]: Taking taylor expansion of n in n 2.531 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 2.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 2.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 2.531 * [taylor]: Taking taylor expansion of 1/3 in n 2.531 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 2.531 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.531 * [taylor]: Taking taylor expansion of f in n 2.548 * [taylor]: Taking taylor expansion of (* -5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) in n 2.548 * [taylor]: Taking taylor expansion of -5/81 in n 2.548 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)) in n 2.548 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.548 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.549 * [taylor]: Taking taylor expansion of n in n 2.549 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 2.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 2.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 2.549 * [taylor]: Taking taylor expansion of 1/3 in n 2.549 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 2.549 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.549 * [taylor]: Taking taylor expansion of f in n 2.564 * [approximate]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in (f n) around 0 2.564 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in n 2.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 n) (/ 1 f))))) in n 2.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 n) (/ 1 f)))) in n 2.564 * [taylor]: Taking taylor expansion of 1/3 in n 2.564 * [taylor]: Taking taylor expansion of (log (- (/ 1 n) (/ 1 f))) in n 2.564 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.564 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.564 * [taylor]: Taking taylor expansion of n in n 2.564 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.564 * [taylor]: Taking taylor expansion of f in n 2.565 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in f 2.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 n) (/ 1 f))))) in f 2.565 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 n) (/ 1 f)))) in f 2.565 * [taylor]: Taking taylor expansion of 1/3 in f 2.565 * [taylor]: Taking taylor expansion of (log (- (/ 1 n) (/ 1 f))) in f 2.565 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.565 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.565 * [taylor]: Taking taylor expansion of n in f 2.565 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.565 * [taylor]: Taking taylor expansion of f in f 2.567 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in f 2.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 n) (/ 1 f))))) in f 2.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 n) (/ 1 f)))) in f 2.567 * [taylor]: Taking taylor expansion of 1/3 in f 2.567 * [taylor]: Taking taylor expansion of (log (- (/ 1 n) (/ 1 f))) in f 2.567 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.567 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.567 * [taylor]: Taking taylor expansion of n in f 2.567 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.567 * [taylor]: Taking taylor expansion of f in f 2.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n 2.570 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n 2.570 * [taylor]: Taking taylor expansion of 1/3 in n 2.570 * [taylor]: Taking taylor expansion of (- (log -1) (log f)) in n 2.570 * [taylor]: Taking taylor expansion of (log -1) in n 2.570 * [taylor]: Taking taylor expansion of -1 in n 2.570 * [taylor]: Taking taylor expansion of (log f) in n 2.570 * [taylor]: Taking taylor expansion of f in n 2.574 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) in n 2.574 * [taylor]: Taking taylor expansion of -1/3 in n 2.574 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) n) in n 2.574 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n 2.574 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n 2.574 * [taylor]: Taking taylor expansion of 1/3 in n 2.574 * [taylor]: Taking taylor expansion of (- (log -1) (log f)) in n 2.574 * [taylor]: Taking taylor expansion of (log -1) in n 2.574 * [taylor]: Taking taylor expansion of -1 in n 2.574 * [taylor]: Taking taylor expansion of (log f) in n 2.574 * [taylor]: Taking taylor expansion of f in n 2.575 * [taylor]: Taking taylor expansion of n in n 2.592 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) in n 2.592 * [taylor]: Taking taylor expansion of -1/9 in n 2.592 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)) in n 2.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n 2.592 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n 2.592 * [taylor]: Taking taylor expansion of 1/3 in n 2.592 * [taylor]: Taking taylor expansion of (- (log -1) (log f)) in n 2.592 * [taylor]: Taking taylor expansion of (log -1) in n 2.592 * [taylor]: Taking taylor expansion of -1 in n 2.592 * [taylor]: Taking taylor expansion of (log f) in n 2.592 * [taylor]: Taking taylor expansion of f in n 2.593 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.593 * [taylor]: Taking taylor expansion of n in n 2.622 * [taylor]: Taking taylor expansion of (* -5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3))) in n 2.622 * [taylor]: Taking taylor expansion of -5/81 in n 2.622 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3)) in n 2.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n 2.622 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n 2.623 * [taylor]: Taking taylor expansion of 1/3 in n 2.623 * [taylor]: Taking taylor expansion of (- (log -1) (log f)) in n 2.623 * [taylor]: Taking taylor expansion of (log -1) in n 2.623 * [taylor]: Taking taylor expansion of -1 in n 2.623 * [taylor]: Taking taylor expansion of (log f) in n 2.623 * [taylor]: Taking taylor expansion of f in n 2.624 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.624 * [taylor]: Taking taylor expansion of n in n 2.646 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.647 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ n f) 1/3)) in (f n) around 0 2.647 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ n f) 1/3)) in n 2.647 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.647 * [taylor]: Taking taylor expansion of -1 in n 2.647 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in n 2.648 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n 2.648 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in n 2.648 * [taylor]: Taking taylor expansion of 1/3 in n 2.648 * [taylor]: Taking taylor expansion of (log (+ n f)) in n 2.648 * [taylor]: Taking taylor expansion of (+ n f) in n 2.648 * [taylor]: Taking taylor expansion of n in n 2.648 * [taylor]: Taking taylor expansion of f in n 2.648 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ n f) 1/3)) in f 2.648 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.648 * [taylor]: Taking taylor expansion of -1 in f 2.648 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in f 2.649 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f 2.649 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in f 2.649 * [taylor]: Taking taylor expansion of 1/3 in f 2.649 * [taylor]: Taking taylor expansion of (log (+ n f)) in f 2.649 * [taylor]: Taking taylor expansion of (+ n f) in f 2.649 * [taylor]: Taking taylor expansion of n in f 2.649 * [taylor]: Taking taylor expansion of f in f 2.649 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ n f) 1/3)) in f 2.649 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.649 * [taylor]: Taking taylor expansion of -1 in f 2.649 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in f 2.649 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f 2.649 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in f 2.650 * [taylor]: Taking taylor expansion of 1/3 in f 2.650 * [taylor]: Taking taylor expansion of (log (+ n f)) in f 2.650 * [taylor]: Taking taylor expansion of (+ n f) in f 2.650 * [taylor]: Taking taylor expansion of n in f 2.650 * [taylor]: Taking taylor expansion of f in f 2.650 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow n 1/3)) in n 2.650 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.650 * [taylor]: Taking taylor expansion of -1 in n 2.651 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 2.651 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 2.651 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 2.651 * [taylor]: Taking taylor expansion of 1/3 in n 2.651 * [taylor]: Taking taylor expansion of (log n) in n 2.651 * [taylor]: Taking taylor expansion of n in n 2.654 * [taylor]: Taking taylor expansion of (* 1/3 (* (cbrt -1) (pow (/ 1 (pow n 2)) 1/3))) in n 2.654 * [taylor]: Taking taylor expansion of 1/3 in n 2.654 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (pow n 2)) 1/3)) in n 2.654 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.654 * [taylor]: Taking taylor expansion of -1 in n 2.655 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in n 2.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n 2.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n 2.655 * [taylor]: Taking taylor expansion of 1/3 in n 2.655 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 2))) in n 2.655 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.655 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.655 * [taylor]: Taking taylor expansion of n in n 2.663 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (cbrt -1) (pow (/ 1 (pow n 5)) 1/3)))) in n 2.663 * [taylor]: Taking taylor expansion of (* 1/9 (* (cbrt -1) (pow (/ 1 (pow n 5)) 1/3))) in n 2.663 * [taylor]: Taking taylor expansion of 1/9 in n 2.663 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (pow n 5)) 1/3)) in n 2.663 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.663 * [taylor]: Taking taylor expansion of -1 in n 2.664 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 5)) 1/3) in n 2.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 5))))) in n 2.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 5)))) in n 2.664 * [taylor]: Taking taylor expansion of 1/3 in n 2.664 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 5))) in n 2.664 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n 2.664 * [taylor]: Taking taylor expansion of (pow n 5) in n 2.664 * [taylor]: Taking taylor expansion of n in n 2.669 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in (f n) around 0 2.669 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 2.669 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.669 * [taylor]: Taking taylor expansion of -1 in n 2.670 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 2.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n 2.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in n 2.670 * [taylor]: Taking taylor expansion of 1/3 in n 2.670 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in n 2.670 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.670 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.670 * [taylor]: Taking taylor expansion of f in n 2.670 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.670 * [taylor]: Taking taylor expansion of n in n 2.676 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in f 2.676 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.677 * [taylor]: Taking taylor expansion of -1 in f 2.677 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 2.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 2.677 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 2.677 * [taylor]: Taking taylor expansion of 1/3 in f 2.677 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 2.677 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.677 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.677 * [taylor]: Taking taylor expansion of f in f 2.678 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.678 * [taylor]: Taking taylor expansion of n in f 2.678 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in f 2.679 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.679 * [taylor]: Taking taylor expansion of -1 in f 2.679 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 2.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 2.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 2.679 * [taylor]: Taking taylor expansion of 1/3 in f 2.679 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 2.679 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.679 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.679 * [taylor]: Taking taylor expansion of f in f 2.680 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.680 * [taylor]: Taking taylor expansion of n in f 2.681 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 f) 1/3)) in n 2.681 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.681 * [taylor]: Taking taylor expansion of -1 in n 2.682 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 2.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 2.682 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 2.682 * [taylor]: Taking taylor expansion of 1/3 in n 2.682 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 2.682 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.682 * [taylor]: Taking taylor expansion of f in n 2.685 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3))) in n 2.685 * [taylor]: Taking taylor expansion of 1/3 in n 2.685 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3)) in n 2.685 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.685 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.685 * [taylor]: Taking taylor expansion of -1 in n 2.685 * [taylor]: Taking taylor expansion of n in n 2.686 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 2.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 2.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 2.686 * [taylor]: Taking taylor expansion of 1/3 in n 2.686 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 2.686 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.686 * [taylor]: Taking taylor expansion of f in n 2.696 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)))) in n 2.696 * [taylor]: Taking taylor expansion of (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3))) in n 2.696 * [taylor]: Taking taylor expansion of 1/9 in n 2.696 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)) in n 2.696 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 2.696 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.696 * [taylor]: Taking taylor expansion of -1 in n 2.696 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.696 * [taylor]: Taking taylor expansion of n in n 2.697 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 2.697 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 2.697 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 2.697 * [taylor]: Taking taylor expansion of 1/3 in n 2.697 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 2.697 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.697 * [taylor]: Taking taylor expansion of f in n 2.721 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3))) in n 2.721 * [taylor]: Taking taylor expansion of 5/81 in n 2.721 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3)) in n 2.721 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 2.721 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.721 * [taylor]: Taking taylor expansion of -1 in n 2.722 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.722 * [taylor]: Taking taylor expansion of n in n 2.723 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 2.723 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 2.723 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 2.723 * [taylor]: Taking taylor expansion of 1/3 in n 2.723 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 2.723 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.723 * [taylor]: Taking taylor expansion of f in n 2.741 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in (f n) around 0 2.741 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 2.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n 2.741 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in n 2.741 * [taylor]: Taking taylor expansion of 1/3 in n 2.741 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in n 2.741 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.741 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.741 * [taylor]: Taking taylor expansion of f in n 2.741 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.741 * [taylor]: Taking taylor expansion of n in n 2.742 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 2.742 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 2.742 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 2.742 * [taylor]: Taking taylor expansion of 1/3 in f 2.742 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 2.742 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.742 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.742 * [taylor]: Taking taylor expansion of f in f 2.742 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.742 * [taylor]: Taking taylor expansion of n in f 2.743 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 2.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 2.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 2.743 * [taylor]: Taking taylor expansion of 1/3 in f 2.743 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 2.743 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.743 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.743 * [taylor]: Taking taylor expansion of f in f 2.744 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.744 * [taylor]: Taking taylor expansion of n in f 2.745 * [taylor]: Taking taylor expansion of (pow f -1/3) in n 2.745 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log f))) in n 2.745 * [taylor]: Taking taylor expansion of (* -1/3 (log f)) in n 2.745 * [taylor]: Taking taylor expansion of -1/3 in n 2.745 * [taylor]: Taking taylor expansion of (log f) in n 2.745 * [taylor]: Taking taylor expansion of f in n 2.746 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) in n 2.746 * [taylor]: Taking taylor expansion of 1/3 in n 2.746 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 f) 1/3)) in n 2.746 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.746 * [taylor]: Taking taylor expansion of n in n 2.747 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 2.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 2.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 2.747 * [taylor]: Taking taylor expansion of 1/3 in n 2.747 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 2.747 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.747 * [taylor]: Taking taylor expansion of f in n 2.753 * [taylor]: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) in n 2.753 * [taylor]: Taking taylor expansion of -1/9 in n 2.753 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)) in n 2.753 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.753 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.753 * [taylor]: Taking taylor expansion of n in n 2.754 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 2.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 2.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 2.754 * [taylor]: Taking taylor expansion of 1/3 in n 2.754 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 2.754 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.754 * [taylor]: Taking taylor expansion of f in n 2.777 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) in n 2.777 * [taylor]: Taking taylor expansion of 5/81 in n 2.777 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)) in n 2.777 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.777 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.777 * [taylor]: Taking taylor expansion of n in n 2.778 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 2.778 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 2.778 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 2.778 * [taylor]: Taking taylor expansion of 1/3 in n 2.778 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 2.778 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.778 * [taylor]: Taking taylor expansion of f in n 2.792 * * * [progress]: simplifying candidates 2.793 * [simplify]: Simplifying using # : (expm1 (cbrt (- f n))) (log1p (cbrt (- f n))) (log (cbrt (- f n))) (exp (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))) (cbrt 1) (cbrt (- f n)) (cbrt (+ (sqrt f) (sqrt n))) (cbrt (- (sqrt f) (sqrt n))) (cbrt 1) (cbrt (- f n)) (cbrt (- (pow f 3) (pow n 3))) (cbrt (+ (* f f) (+ (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (+ f n)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))) (* (* (cbrt (- f n)) (cbrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n))) (sqrt (cbrt (- f n))) (expm1 (cbrt (- f n))) (log1p (cbrt (- f n))) (log (cbrt (- f n))) (exp (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))) (cbrt 1) (cbrt (- f n)) (cbrt (+ (sqrt f) (sqrt n))) (cbrt (- (sqrt f) (sqrt n))) (cbrt 1) (cbrt (- f n)) (cbrt (- (pow f 3) (pow n 3))) (cbrt (+ (* f f) (+ (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (+ f n)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))) (* (* (cbrt (- f n)) (cbrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n))) (sqrt (cbrt (- f n))) (expm1 (cbrt (- f n))) (log1p (cbrt (- f n))) (log (cbrt (- f n))) (exp (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))) (cbrt 1) (cbrt (- f n)) (cbrt (+ (sqrt f) (sqrt n))) (cbrt (- (sqrt f) (sqrt n))) (cbrt 1) (cbrt (- f n)) (cbrt (- (pow f 3) (pow n 3))) (cbrt (+ (* f f) (+ (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (+ f n)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))) (* (* (cbrt (- f n)) (cbrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n))) (sqrt (cbrt (- f n))) (expm1 (cbrt (- (+ f n)))) (log1p (cbrt (- (+ f n)))) (log (cbrt (- (+ f n)))) (exp (cbrt (- (+ f n)))) (cbrt (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (cbrt (cbrt (- (+ f n)))) (cbrt (sqrt (- (+ f n)))) (cbrt (sqrt (- (+ f n)))) (cbrt 1) (cbrt (- (+ f n))) (cbrt -1) (cbrt (+ f n)) (cbrt (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (cbrt (cbrt (+ f n))) (cbrt (- (sqrt (+ f n)))) (cbrt (sqrt (+ f n))) (cbrt (- 1)) (cbrt (+ f n)) (cbrt (- 1)) (cbrt (+ f n)) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (- (cbrt (+ f n)))) (cbrt (sqrt (+ f n))) (cbrt (- (sqrt (+ f n)))) (cbrt 1) (cbrt (- (+ f n))) (cbrt 1) (cbrt (- (+ f n))) (cbrt (- (+ (pow f 3) (pow n 3)))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (- (* f f) (* n n)))) (cbrt (- f n)) (* (cbrt (cbrt (- (+ f n)))) (cbrt (cbrt (- (+ f n))))) (cbrt (cbrt (- (+ f n)))) (* (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (cbrt (- (+ f n)))) (sqrt (cbrt (- (+ f n)))) (sqrt (cbrt (- (+ f n)))) (- (exp (* 1/3 (+ (log -1) (log n)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f)))) (pow (/ 1 f) -1/3) (exp (* 1/3 (- (log -1) (log (/ -1 f))))) (- (exp (* 1/3 (+ (log -1) (log n)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f)))) (pow (/ 1 f) -1/3) (exp (* 1/3 (- (log -1) (log (/ -1 f))))) (- (exp (* 1/3 (+ (log -1) (log n)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f)))) (pow (/ 1 f) -1/3) (exp (* 1/3 (- (log -1) (log (/ -1 f))))) (- (+ (* 1/3 (* (* (cbrt -1) f) (pow (/ 1 (pow n 2)) 1/3))) (* (cbrt -1) (pow n 1/3))) (* 1/9 (* (* (cbrt -1) (pow f 2)) (pow (/ 1 (pow n 5)) 1/3)))) (* (cbrt -1) (pow f 1/3)) (pow (/ -1 f) -1/3) 2.798 * * [simplify]: iteration 0 : 263 enodes (cost 507 ) 2.801 * * [simplify]: iteration 1 : 653 enodes (cost 484 ) 2.812 * * [simplify]: iteration 2 : 2197 enodes (cost 472 ) 2.853 * * [simplify]: iteration 3 : 5001 enodes (cost 448 ) 2.856 * [simplify]: Simplified to: (expm1 (cbrt (- f n))) (log1p (cbrt (- f n))) (log (cbrt (- f n))) (exp (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))) (cbrt 1) (cbrt (- f n)) (cbrt (+ (sqrt f) (sqrt n))) (cbrt (- (sqrt f) (sqrt n))) (cbrt 1) (cbrt (- f n)) (cbrt (- (pow f 3) (pow n 3))) (cbrt (+ (* f f) (+ (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (+ f n)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))) (- f n) (sqrt (cbrt (- f n))) (sqrt (cbrt (- f n))) (expm1 (cbrt (- f n))) (log1p (cbrt (- f n))) (log (cbrt (- f n))) (exp (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))) (cbrt 1) (cbrt (- f n)) (cbrt (+ (sqrt f) (sqrt n))) (cbrt (- (sqrt f) (sqrt n))) (cbrt 1) (cbrt (- f n)) (cbrt (- (pow f 3) (pow n 3))) (cbrt (+ (* f f) (+ (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (+ f n)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))) (- f n) (sqrt (cbrt (- f n))) (sqrt (cbrt (- f n))) (expm1 (cbrt (- f n))) (log1p (cbrt (- f n))) (log (cbrt (- f n))) (exp (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))) (cbrt 1) (cbrt (- f n)) (cbrt (+ (sqrt f) (sqrt n))) (cbrt (- (sqrt f) (sqrt n))) (cbrt 1) (cbrt (- f n)) (cbrt (- (pow f 3) (pow n 3))) (cbrt (+ (* f f) (+ (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (+ f n)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))) (- f n) (sqrt (cbrt (- f n))) (sqrt (cbrt (- f n))) (expm1 (cbrt (- (+ f n)))) (log1p (cbrt (- (+ f n)))) (log (cbrt (- (+ f n)))) (exp (cbrt (- (+ f n)))) (cbrt (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (cbrt (cbrt (- (+ f n)))) (cbrt (sqrt (- (+ f n)))) (cbrt (sqrt (- (+ f n)))) (cbrt 1) (cbrt (- (+ f n))) (pow -1 1/3) (cbrt (+ f n)) (cbrt (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (cbrt (cbrt (+ f n))) (cbrt (- (sqrt (+ f n)))) (cbrt (sqrt (+ f n))) (cbrt (- 1)) (cbrt (+ f n)) (cbrt (- 1)) (cbrt (+ f n)) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (- (cbrt (+ f n)))) (cbrt (sqrt (+ f n))) (cbrt (- (sqrt (+ f n)))) (cbrt 1) (cbrt (- (+ f n))) (cbrt 1) (cbrt (- (+ f n))) (cbrt (- (+ (pow f 3) (pow n 3)))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (- (* f f) (* n n)))) (cbrt (- f n)) (* (cbrt (cbrt (- (+ f n)))) (cbrt (cbrt (- (+ f n))))) (cbrt (cbrt (- (+ f n)))) (- (+ f n)) (sqrt (cbrt (- (+ f n)))) (sqrt (cbrt (- (+ f n)))) (fma (pow -1 1/3) (pow n 1/3) (- (fma 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n)))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f))))) (pow (/ 1 f) -1/3) (pow f 1/3) (fma (pow -1 1/3) (pow n 1/3) (- (fma 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n)))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f))))) (pow (/ 1 f) -1/3) (pow f 1/3) (fma (pow -1 1/3) (pow n 1/3) (- (fma 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n)))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f))))) (pow (/ 1 f) -1/3) (pow f 1/3) (* (pow -1 1/3) (- (fma (* f (pow (/ 1 (pow n 2)) 1/3)) 1/3 (pow n 1/3)) (* (* (pow f 2) (pow (/ 1 (pow n 5)) 1/3)) 1/9))) (* (cbrt -1) (pow f 1/3)) (pow (/ -1 f) -1/3) 2.856 * * * [progress]: adding candidates to table 3.141 * [progress]: [Phase 3 of 3] Extracting. 3.141 * * [regime]: Finding splitpoints for: (# # # #) 3.143 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 3.143 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # #) 3.159 * * * * [regimes]: Trying to branch on n from (# # # #) 3.175 * * * * [regimes]: Trying to branch on f from (# # # #) 3.195 * * * [regime]: Found split indices: #