0.860 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.258 * * * [progress]: [2/2] Setting up program. 0.261 * [progress]: [Phase 2 of 3] Improving. 0.264 * [simplify]: Simplifying using # : (/ (- (+ f n)) (- f n)) 0.267 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.269 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.270 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.272 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.273 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.274 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.276 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.276 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.278 * * [progress]: iteration 1 / 4 0.278 * * * [progress]: picking best candidate 0.280 * * * * [pick]: Picked # 0.280 * * * [progress]: localizing error 0.287 * * * [progress]: generating rewritten candidates 0.287 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.312 * * * [progress]: generating series expansions 0.312 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.317 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.317 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.317 * [taylor]: Taking taylor expansion of -1 in n 0.318 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.318 * [taylor]: Taking taylor expansion of (+ n f) in n 0.318 * [taylor]: Taking taylor expansion of n in n 0.318 * [taylor]: Taking taylor expansion of f in n 0.318 * [taylor]: Taking taylor expansion of (- f n) in n 0.318 * [taylor]: Taking taylor expansion of f in n 0.318 * [taylor]: Taking taylor expansion of n in n 0.319 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.319 * [taylor]: Taking taylor expansion of -1 in f 0.319 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.319 * [taylor]: Taking taylor expansion of (+ n f) in f 0.319 * [taylor]: Taking taylor expansion of n in f 0.319 * [taylor]: Taking taylor expansion of f in f 0.319 * [taylor]: Taking taylor expansion of (- f n) in f 0.319 * [taylor]: Taking taylor expansion of f in f 0.319 * [taylor]: Taking taylor expansion of n in f 0.319 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.319 * [taylor]: Taking taylor expansion of -1 in f 0.319 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.319 * [taylor]: Taking taylor expansion of (+ n f) in f 0.319 * [taylor]: Taking taylor expansion of n in f 0.319 * [taylor]: Taking taylor expansion of f in f 0.319 * [taylor]: Taking taylor expansion of (- f n) in f 0.319 * [taylor]: Taking taylor expansion of f in f 0.319 * [taylor]: Taking taylor expansion of n in f 0.320 * [taylor]: Taking taylor expansion of 1 in n 0.322 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.322 * [taylor]: Taking taylor expansion of 2 in n 0.322 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.322 * [taylor]: Taking taylor expansion of n in n 0.325 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.325 * [taylor]: Taking taylor expansion of 2 in n 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.325 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.330 * [taylor]: Taking taylor expansion of 2 in n 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.330 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.330 * [taylor]: Taking taylor expansion of n in n 0.336 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.336 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.336 * [taylor]: Taking taylor expansion of -1 in n 0.336 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.336 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.336 * [taylor]: Taking taylor expansion of f in n 0.336 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.336 * [taylor]: Taking taylor expansion of n in n 0.351 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.351 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.351 * [taylor]: Taking taylor expansion of f in n 0.352 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.352 * [taylor]: Taking taylor expansion of n in n 0.353 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.353 * [taylor]: Taking taylor expansion of -1 in f 0.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.353 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.353 * [taylor]: Taking taylor expansion of f in f 0.353 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.353 * [taylor]: Taking taylor expansion of n in f 0.354 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.354 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.354 * [taylor]: Taking taylor expansion of f in f 0.354 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.354 * [taylor]: Taking taylor expansion of n in f 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 in n 0.358 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.358 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.358 * [taylor]: Taking taylor expansion of 2 in n 0.358 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.358 * [taylor]: Taking taylor expansion of n in n 0.362 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.362 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.362 * [taylor]: Taking taylor expansion of 2 in n 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.362 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.362 * [taylor]: Taking taylor expansion of n in n 0.369 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.369 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.369 * [taylor]: Taking taylor expansion of 2 in n 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.370 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.370 * [taylor]: Taking taylor expansion of n in n 0.375 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.375 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.375 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.375 * [taylor]: Taking taylor expansion of f in n 0.375 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.375 * [taylor]: Taking taylor expansion of n in n 0.376 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.376 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.376 * [taylor]: Taking taylor expansion of n in n 0.376 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.376 * [taylor]: Taking taylor expansion of f in n 0.377 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.377 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.377 * [taylor]: Taking taylor expansion of f in f 0.377 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.377 * [taylor]: Taking taylor expansion of n in f 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.377 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.377 * [taylor]: Taking taylor expansion of n in f 0.377 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.377 * [taylor]: Taking taylor expansion of f in f 0.378 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.378 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.378 * [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 0.379 * [taylor]: Taking taylor expansion of f in f 0.380 * [taylor]: Taking taylor expansion of -1 in n 0.381 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.381 * [taylor]: Taking taylor expansion of 2 in n 0.381 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.381 * [taylor]: Taking taylor expansion of n in n 0.385 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.385 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.385 * [taylor]: Taking taylor expansion of 2 in n 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.385 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.385 * [taylor]: Taking taylor expansion of n in n 0.392 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.392 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.392 * [taylor]: Taking taylor expansion of 2 in n 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.392 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.392 * [taylor]: Taking taylor expansion of n in n 0.398 * * * [progress]: simplifying candidates 0.400 * [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 0.405 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.410 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.425 * * [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 0.617 * * [progress]: iteration 2 / 4 0.617 * * * [progress]: picking best candidate 0.621 * * * * [pick]: Picked # 0.621 * * * [progress]: localizing error 0.627 * * * [progress]: generating rewritten candidates 0.627 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.640 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.664 * * * [progress]: generating series expansions 0.664 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.665 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 0.665 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 0.665 * [taylor]: Taking taylor expansion of (- f n) in n 0.665 * [taylor]: Taking taylor expansion of f in n 0.665 * [taylor]: Taking taylor expansion of n in n 0.665 * [taylor]: Taking taylor expansion of (+ n f) in n 0.665 * [taylor]: Taking taylor expansion of n in n 0.665 * [taylor]: Taking taylor expansion of f in n 0.665 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.665 * [taylor]: Taking taylor expansion of (- f n) in f 0.665 * [taylor]: Taking taylor expansion of f in f 0.665 * [taylor]: Taking taylor expansion of n in f 0.665 * [taylor]: Taking taylor expansion of (+ n f) in f 0.666 * [taylor]: Taking taylor expansion of n in f 0.666 * [taylor]: Taking taylor expansion of f in f 0.666 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.666 * [taylor]: Taking taylor expansion of (- f n) in f 0.666 * [taylor]: Taking taylor expansion of f in f 0.666 * [taylor]: Taking taylor expansion of n in f 0.666 * [taylor]: Taking taylor expansion of (+ n f) in f 0.666 * [taylor]: Taking taylor expansion of n in f 0.666 * [taylor]: Taking taylor expansion of f in f 0.666 * [taylor]: Taking taylor expansion of -1 in n 0.667 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.667 * [taylor]: Taking taylor expansion of 2 in n 0.667 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.667 * [taylor]: Taking taylor expansion of n in n 0.669 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.669 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.669 * [taylor]: Taking taylor expansion of 2 in n 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.669 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.669 * [taylor]: Taking taylor expansion of n in n 0.674 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.674 * [taylor]: Taking taylor expansion of 2 in n 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.674 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.674 * [taylor]: Taking taylor expansion of n in n 0.679 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 0.679 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 0.679 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.679 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.679 * [taylor]: Taking taylor expansion of f in n 0.679 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.679 * [taylor]: Taking taylor expansion of n in n 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.680 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.680 * [taylor]: Taking taylor expansion of f in n 0.680 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.680 * [taylor]: Taking taylor expansion of n in n 0.681 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.681 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.681 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.681 * [taylor]: Taking taylor expansion of f in f 0.681 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.681 * [taylor]: Taking taylor expansion of n in f 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.681 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.681 * [taylor]: Taking taylor expansion of f in f 0.682 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.682 * [taylor]: Taking taylor expansion of n in f 0.682 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.682 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.682 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.682 * [taylor]: Taking taylor expansion of f in f 0.683 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.683 * [taylor]: Taking taylor expansion of n in f 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.683 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.683 * [taylor]: Taking taylor expansion of f in f 0.683 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.683 * [taylor]: Taking taylor expansion of n in f 0.684 * [taylor]: Taking taylor expansion of 1 in n 0.685 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.685 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.685 * [taylor]: Taking taylor expansion of 2 in n 0.685 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.685 * [taylor]: Taking taylor expansion of n in n 0.689 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.689 * [taylor]: Taking taylor expansion of 2 in n 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.689 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.689 * [taylor]: Taking taylor expansion of n in n 0.696 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.696 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.696 * [taylor]: Taking taylor expansion of 2 in n 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.696 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.696 * [taylor]: Taking taylor expansion of n in n 0.701 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 0.702 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 0.702 * [taylor]: Taking taylor expansion of -1 in n 0.702 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 0.702 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.702 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.702 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.702 * [taylor]: Taking taylor expansion of f in n 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.702 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.702 * [taylor]: Taking taylor expansion of f in n 0.702 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.703 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.703 * [taylor]: Taking taylor expansion of -1 in f 0.703 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.703 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.703 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.703 * [taylor]: Taking taylor expansion of n in f 0.703 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.703 * [taylor]: Taking taylor expansion of f in f 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.703 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.703 * [taylor]: Taking taylor expansion of f in f 0.704 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.704 * [taylor]: Taking taylor expansion of n in f 0.705 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.705 * [taylor]: Taking taylor expansion of -1 in f 0.705 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.705 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.705 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.705 * [taylor]: Taking taylor expansion of n in f 0.705 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.705 * [taylor]: Taking taylor expansion of f in f 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.705 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.705 * [taylor]: Taking taylor expansion of f in f 0.705 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.705 * [taylor]: Taking taylor expansion of n in f 0.707 * [taylor]: Taking taylor expansion of 1 in n 0.708 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.708 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.708 * [taylor]: Taking taylor expansion of 2 in n 0.708 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.708 * [taylor]: Taking taylor expansion of n in n 0.713 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.713 * [taylor]: Taking taylor expansion of 2 in n 0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.713 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.713 * [taylor]: Taking taylor expansion of n in n 0.720 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.720 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.720 * [taylor]: Taking taylor expansion of 2 in n 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.720 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.720 * [taylor]: Taking taylor expansion of n in n 0.729 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.730 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.730 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.730 * [taylor]: Taking taylor expansion of -1 in n 0.730 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.730 * [taylor]: Taking taylor expansion of (+ n f) in n 0.730 * [taylor]: Taking taylor expansion of n in n 0.730 * [taylor]: Taking taylor expansion of f in n 0.730 * [taylor]: Taking taylor expansion of (- f n) in n 0.730 * [taylor]: Taking taylor expansion of f in n 0.730 * [taylor]: Taking taylor expansion of n in n 0.730 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.730 * [taylor]: Taking taylor expansion of -1 in f 0.730 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.730 * [taylor]: Taking taylor expansion of (+ n f) in f 0.730 * [taylor]: Taking taylor expansion of n in f 0.730 * [taylor]: Taking taylor expansion of f in f 0.730 * [taylor]: Taking taylor expansion of (- f n) in f 0.730 * [taylor]: Taking taylor expansion of f in f 0.730 * [taylor]: Taking taylor expansion of n in f 0.730 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.730 * [taylor]: Taking taylor expansion of -1 in f 0.730 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.730 * [taylor]: Taking taylor expansion of (+ n f) in f 0.730 * [taylor]: Taking taylor expansion of n in f 0.730 * [taylor]: Taking taylor expansion of f in f 0.730 * [taylor]: Taking taylor expansion of (- f n) in f 0.730 * [taylor]: Taking taylor expansion of f in f 0.730 * [taylor]: Taking taylor expansion of n in f 0.731 * [taylor]: Taking taylor expansion of 1 in n 0.732 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.732 * [taylor]: Taking taylor expansion of 2 in n 0.732 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.732 * [taylor]: Taking taylor expansion of n in n 0.734 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.734 * [taylor]: Taking taylor expansion of 2 in n 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.734 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.734 * [taylor]: Taking taylor expansion of n in n 0.740 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.740 * [taylor]: Taking taylor expansion of 2 in n 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.740 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.740 * [taylor]: Taking taylor expansion of n in n 0.745 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.745 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.745 * [taylor]: Taking taylor expansion of -1 in n 0.745 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.745 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.745 * [taylor]: Taking taylor expansion of f in n 0.745 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.745 * [taylor]: Taking taylor expansion of n in n 0.745 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.745 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.745 * [taylor]: Taking taylor expansion of f in n 0.745 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.746 * [taylor]: Taking taylor expansion of n in n 0.747 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.747 * [taylor]: Taking taylor expansion of -1 in f 0.747 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.747 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.747 * [taylor]: Taking taylor expansion of f in f 0.747 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.747 * [taylor]: Taking taylor expansion of n in f 0.747 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.747 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.747 * [taylor]: Taking taylor expansion of f in f 0.747 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.747 * [taylor]: Taking taylor expansion of n in f 0.748 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.748 * [taylor]: Taking taylor expansion of -1 in f 0.748 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.748 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.748 * [taylor]: Taking taylor expansion of f in f 0.749 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.749 * [taylor]: Taking taylor expansion of n in f 0.749 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.749 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.749 * [taylor]: Taking taylor expansion of f in f 0.749 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.749 * [taylor]: Taking taylor expansion of n in f 0.750 * [taylor]: Taking taylor expansion of -1 in n 0.751 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.751 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.751 * [taylor]: Taking taylor expansion of 2 in n 0.751 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.751 * [taylor]: Taking taylor expansion of n in n 0.755 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.755 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.755 * [taylor]: Taking taylor expansion of 2 in n 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.755 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.755 * [taylor]: Taking taylor expansion of n in n 0.763 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.763 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.763 * [taylor]: Taking taylor expansion of 2 in n 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.763 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.763 * [taylor]: Taking taylor expansion of n in n 0.769 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.769 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.769 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.769 * [taylor]: Taking taylor expansion of f in n 0.769 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.769 * [taylor]: Taking taylor expansion of n in n 0.769 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.769 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.769 * [taylor]: Taking taylor expansion of n in n 0.769 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.769 * [taylor]: Taking taylor expansion of f in n 0.770 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.770 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.770 * [taylor]: Taking taylor expansion of f in f 0.770 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.771 * [taylor]: Taking taylor expansion of n in f 0.771 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.771 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.771 * [taylor]: Taking taylor expansion of n in f 0.771 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.771 * [taylor]: Taking taylor expansion of f in f 0.772 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.772 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.772 * [taylor]: Taking taylor expansion of f in f 0.772 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.772 * [taylor]: Taking taylor expansion of n in f 0.772 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.772 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.772 * [taylor]: Taking taylor expansion of n in f 0.772 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.772 * [taylor]: Taking taylor expansion of f in f 0.773 * [taylor]: Taking taylor expansion of -1 in n 0.775 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.775 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.775 * [taylor]: Taking taylor expansion of 2 in n 0.775 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.775 * [taylor]: Taking taylor expansion of n in n 0.778 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.778 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.778 * [taylor]: Taking taylor expansion of 2 in n 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.778 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.778 * [taylor]: Taking taylor expansion of n in n 0.785 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.785 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.785 * [taylor]: Taking taylor expansion of 2 in n 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.785 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.785 * [taylor]: Taking taylor expansion of n in n 0.791 * * * [progress]: simplifying candidates 0.794 * [simplify]: Simplifying using # : (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) 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1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ (- f n) (sqrt (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 1) (/ -1 (/ (- f n) (+ f n))) (/ 1 (- f n)) (/ -1 (/ 1 (+ f n))) (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (+ (* f f) (- (* n n) (* f n)))) (/ 1 (/ (- f n) (- (* f f) (* n n)))) (/ -1 (- f n)) (/ 1 (/ (- f n) (+ f n))) (/ (/ (- f n) (+ f n)) -1) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 1) (/ -1 (- f n)) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (/ -1 (- f n)) -1 1 1 1 -1 -1 0.802 * * [simplify]: iteration 0 : 532 enodes (cost 1466 ) 0.815 * * [simplify]: iteration 1 : 2571 enodes (cost 1420 ) 0.859 * * [simplify]: iteration 2 : 5001 enodes (cost 1301 ) 0.865 * [simplify]: Simplified to: (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (log (/ (- f n) (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (pow (/ (- f n) (+ f n)) 3) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (pow (/ (- f n) (+ f n)) 3) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (* -1 (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (sqrt (- f n)) (/ (sqrt (- f n)) (+ f n)) (sqrt (- f n)) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* 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(sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) (* (sqrt -1) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (* (sqrt -1) (sqrt (+ f n))) (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (* (sqrt -1) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (* (sqrt -1) (sqrt (+ f n))) (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (- f n)) (* (sqrt -1) (+ f n)) (/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (sqrt -1) (fma n (- n f) (* f f))) (/ (sqrt -1) (/ (- f n) (- (* f f) (* n n)))) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (sqrt (+ f n)) (/ -1 (/ (- f n) (sqrt (+ f n)))) 1 (/ -1 (/ (- f n) (+ f n))) 1 (/ -1 (/ (- f n) (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ -1 (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ -1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (sqrt (+ f n)) (/ -1 (/ (- f n) (sqrt (+ f n)))) 1 (/ -1 (/ (- f n) (+ f n))) 1 (/ -1 (/ (- f n) (+ f n))) 1 (/ -1 (/ (- f n) (+ f n))) (/ 1 (- f n)) (* -1 (+ f n)) (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (fma n (- n f) (* f f))) (/ 1 (/ (- f n) (- (* f f) (* n n)))) (/ -1 (- f n)) (/ 1 (/ (- f n) (+ f n))) (/ (/ (- f n) (+ f n)) -1) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (* -1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (* -1 (sqrt (+ f n))) -1 -1 (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (* -1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (* -1 (sqrt (+ f n))) -1 -1 -1 (/ -1 (- f n)) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) -1) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (/ -1 (- f n)) -1 1 1 1 -1 -1 0.866 * * * [progress]: adding candidates to table 1.108 * * [progress]: iteration 3 / 4 1.108 * * * [progress]: picking best candidate 1.115 * * * * [pick]: Picked # 1.115 * * * [progress]: localizing error 1.127 * * * [progress]: generating rewritten candidates 1.128 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.139 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2) 1.150 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 1.162 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.389 * * * [progress]: generating series expansions 1.389 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.389 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 1.389 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.389 * [taylor]: Taking taylor expansion of (- f n) in n 1.390 * [taylor]: Taking taylor expansion of f in n 1.390 * [taylor]: Taking taylor expansion of n in n 1.390 * [taylor]: Taking taylor expansion of (+ n f) in n 1.390 * [taylor]: Taking taylor expansion of n in n 1.390 * [taylor]: Taking taylor expansion of f in n 1.390 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.390 * [taylor]: Taking taylor expansion of (- f n) in f 1.390 * [taylor]: Taking taylor expansion of f in f 1.390 * [taylor]: Taking taylor expansion of n in f 1.390 * [taylor]: Taking taylor expansion of (+ n f) in f 1.390 * [taylor]: Taking taylor expansion of n in f 1.390 * [taylor]: Taking taylor expansion of f in f 1.390 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.390 * [taylor]: Taking taylor expansion of (- f n) in f 1.390 * [taylor]: Taking taylor expansion of f in f 1.390 * [taylor]: Taking taylor expansion of n in f 1.390 * [taylor]: Taking taylor expansion of (+ n f) in f 1.390 * [taylor]: Taking taylor expansion of n in f 1.390 * [taylor]: Taking taylor expansion of f in f 1.391 * [taylor]: Taking taylor expansion of -1 in n 1.391 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.391 * [taylor]: Taking taylor expansion of 2 in n 1.391 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.392 * [taylor]: Taking taylor expansion of n in n 1.393 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.393 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.393 * [taylor]: Taking taylor expansion of 2 in n 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.393 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.393 * [taylor]: Taking taylor expansion of n in n 1.398 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.398 * [taylor]: Taking taylor expansion of 2 in n 1.398 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.398 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.398 * [taylor]: Taking taylor expansion of n in n 1.403 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 1.404 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.404 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.404 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.404 * [taylor]: Taking taylor expansion of f in n 1.404 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.404 * [taylor]: Taking taylor expansion of n in n 1.404 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.404 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.404 * [taylor]: Taking taylor expansion of f in n 1.404 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.404 * [taylor]: Taking taylor expansion of n in n 1.405 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.405 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.405 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.405 * [taylor]: Taking taylor expansion of f in f 1.405 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.406 * [taylor]: Taking taylor expansion of n in f 1.406 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.406 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.406 * [taylor]: Taking taylor expansion of f in f 1.406 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.406 * [taylor]: Taking taylor expansion of n in f 1.407 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.407 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.407 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.407 * [taylor]: Taking taylor expansion of f in f 1.407 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.407 * [taylor]: Taking taylor expansion of n in f 1.407 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.407 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.407 * [taylor]: Taking taylor expansion of f in f 1.407 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.407 * [taylor]: Taking taylor expansion of n in f 1.408 * [taylor]: Taking taylor expansion of 1 in n 1.409 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.409 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.409 * [taylor]: Taking taylor expansion of 2 in n 1.409 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.409 * [taylor]: Taking taylor expansion of n in n 1.413 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.413 * [taylor]: Taking taylor expansion of 2 in n 1.413 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.413 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.413 * [taylor]: Taking taylor expansion of n in n 1.419 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.419 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.419 * [taylor]: Taking taylor expansion of 2 in n 1.419 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.419 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.419 * [taylor]: Taking taylor expansion of n in n 1.431 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 1.431 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.431 * [taylor]: Taking taylor expansion of -1 in n 1.431 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.431 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.431 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.431 * [taylor]: Taking taylor expansion of n in n 1.432 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.432 * [taylor]: Taking taylor expansion of f in n 1.432 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.432 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.432 * [taylor]: Taking taylor expansion of f in n 1.432 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.432 * [taylor]: Taking taylor expansion of n in n 1.433 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.433 * [taylor]: Taking taylor expansion of -1 in f 1.433 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.433 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.433 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.433 * [taylor]: Taking taylor expansion of n in f 1.433 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.433 * [taylor]: Taking taylor expansion of f in f 1.433 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.433 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.433 * [taylor]: Taking taylor expansion of f in f 1.434 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.434 * [taylor]: Taking taylor expansion of n in f 1.435 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.435 * [taylor]: Taking taylor expansion of -1 in f 1.435 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.435 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.435 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.435 * [taylor]: Taking taylor expansion of n in f 1.435 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.435 * [taylor]: Taking taylor expansion of f in f 1.435 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.435 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.435 * [taylor]: Taking taylor expansion of f in f 1.435 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.435 * [taylor]: Taking taylor expansion of n in f 1.437 * [taylor]: Taking taylor expansion of 1 in n 1.438 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.438 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.438 * [taylor]: Taking taylor expansion of 2 in n 1.438 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.438 * [taylor]: Taking taylor expansion of n in n 1.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.442 * [taylor]: Taking taylor expansion of 2 in n 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.442 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.443 * [taylor]: Taking taylor expansion of n in n 1.450 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.450 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.450 * [taylor]: Taking taylor expansion of 2 in n 1.450 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.450 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.450 * [taylor]: Taking taylor expansion of n in n 1.455 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2) 1.455 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 1.456 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.456 * [taylor]: Taking taylor expansion of (- f n) in n 1.456 * [taylor]: Taking taylor expansion of f in n 1.456 * [taylor]: Taking taylor expansion of n in n 1.456 * [taylor]: Taking taylor expansion of (+ n f) in n 1.456 * [taylor]: Taking taylor expansion of n in n 1.456 * [taylor]: Taking taylor expansion of f in n 1.456 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.456 * [taylor]: Taking taylor expansion of (- f n) in f 1.456 * [taylor]: Taking taylor expansion of f in f 1.456 * [taylor]: Taking taylor expansion of n in f 1.456 * [taylor]: Taking taylor expansion of (+ n f) in f 1.456 * [taylor]: Taking taylor expansion of n in f 1.456 * [taylor]: Taking taylor expansion of f in f 1.456 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.456 * [taylor]: Taking taylor expansion of (- f n) in f 1.456 * [taylor]: Taking taylor expansion of f in f 1.456 * [taylor]: Taking taylor expansion of n in f 1.456 * [taylor]: Taking taylor expansion of (+ n f) in f 1.456 * [taylor]: Taking taylor expansion of n in f 1.456 * [taylor]: Taking taylor expansion of f in f 1.456 * [taylor]: Taking taylor expansion of -1 in n 1.457 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.457 * [taylor]: Taking taylor expansion of 2 in n 1.457 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.457 * [taylor]: Taking taylor expansion of n in n 1.459 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.459 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.459 * [taylor]: Taking taylor expansion of 2 in n 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.459 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.459 * [taylor]: Taking taylor expansion of n in n 1.464 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.464 * [taylor]: Taking taylor expansion of 2 in n 1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.464 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.464 * [taylor]: Taking taylor expansion of n in n 1.469 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 1.469 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.469 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.469 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.469 * [taylor]: Taking taylor expansion of f in n 1.469 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.469 * [taylor]: Taking taylor expansion of n in n 1.470 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.470 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.470 * [taylor]: Taking taylor expansion of f in n 1.470 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.470 * [taylor]: Taking taylor expansion of n in n 1.471 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.471 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.471 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.471 * [taylor]: Taking taylor expansion of f in f 1.471 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.471 * [taylor]: Taking taylor expansion of n in f 1.471 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.471 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.471 * [taylor]: Taking taylor expansion of f in f 1.471 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.472 * [taylor]: Taking taylor expansion of n in f 1.472 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.472 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.472 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.472 * [taylor]: Taking taylor expansion of f in f 1.473 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.473 * [taylor]: Taking taylor expansion of n in f 1.473 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.473 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.473 * [taylor]: Taking taylor expansion of f in f 1.473 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.473 * [taylor]: Taking taylor expansion of n in f 1.474 * [taylor]: Taking taylor expansion of 1 in n 1.475 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.475 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.475 * [taylor]: Taking taylor expansion of 2 in n 1.475 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.475 * [taylor]: Taking taylor expansion of n in n 1.479 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.479 * [taylor]: Taking taylor expansion of 2 in n 1.479 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.479 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.479 * [taylor]: Taking taylor expansion of n in n 1.485 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.485 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.485 * [taylor]: Taking taylor expansion of 2 in n 1.486 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.486 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.486 * [taylor]: Taking taylor expansion of n in n 1.491 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 1.491 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.491 * [taylor]: Taking taylor expansion of -1 in n 1.491 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.491 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.491 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.491 * [taylor]: Taking taylor expansion of n in n 1.491 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.491 * [taylor]: Taking taylor expansion of f in n 1.492 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.492 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.492 * [taylor]: Taking taylor expansion of f in n 1.492 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.492 * [taylor]: Taking taylor expansion of n in n 1.493 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.493 * [taylor]: Taking taylor expansion of -1 in f 1.493 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.493 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.493 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.493 * [taylor]: Taking taylor expansion of n in f 1.493 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.493 * [taylor]: Taking taylor expansion of f in f 1.493 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.493 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.493 * [taylor]: Taking taylor expansion of f in f 1.493 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.493 * [taylor]: Taking taylor expansion of n in f 1.494 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.494 * [taylor]: Taking taylor expansion of -1 in f 1.494 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.494 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.494 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.494 * [taylor]: Taking taylor expansion of n in f 1.494 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.494 * [taylor]: Taking taylor expansion of f in f 1.495 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.495 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.495 * [taylor]: Taking taylor expansion of f in f 1.495 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.495 * [taylor]: Taking taylor expansion of n in f 1.496 * [taylor]: Taking taylor expansion of 1 in n 1.498 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.498 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.498 * [taylor]: Taking taylor expansion of 2 in n 1.498 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.498 * [taylor]: Taking taylor expansion of n in n 1.502 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.502 * [taylor]: Taking taylor expansion of 2 in n 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.502 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.502 * [taylor]: Taking taylor expansion of n in n 1.511 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.511 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.511 * [taylor]: Taking taylor expansion of 2 in n 1.511 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.511 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.511 * [taylor]: Taking taylor expansion of n in n 1.517 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 1.517 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 1.517 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.517 * [taylor]: Taking taylor expansion of (- f n) in n 1.517 * [taylor]: Taking taylor expansion of f in n 1.517 * [taylor]: Taking taylor expansion of n in n 1.517 * [taylor]: Taking taylor expansion of (+ n f) in n 1.517 * [taylor]: Taking taylor expansion of n in n 1.517 * [taylor]: Taking taylor expansion of f in n 1.517 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.517 * [taylor]: Taking taylor expansion of (- f n) in f 1.517 * [taylor]: Taking taylor expansion of f in f 1.517 * [taylor]: Taking taylor expansion of n in f 1.517 * [taylor]: Taking taylor expansion of (+ n f) in f 1.517 * [taylor]: Taking taylor expansion of n in f 1.517 * [taylor]: Taking taylor expansion of f in f 1.517 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.517 * [taylor]: Taking taylor expansion of (- f n) in f 1.517 * [taylor]: Taking taylor expansion of f in f 1.517 * [taylor]: Taking taylor expansion of n in f 1.517 * [taylor]: Taking taylor expansion of (+ n f) in f 1.517 * [taylor]: Taking taylor expansion of n in f 1.517 * [taylor]: Taking taylor expansion of f in f 1.518 * [taylor]: Taking taylor expansion of -1 in n 1.518 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.518 * [taylor]: Taking taylor expansion of 2 in n 1.518 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.519 * [taylor]: Taking taylor expansion of n in n 1.520 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.520 * [taylor]: Taking taylor expansion of 2 in n 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.520 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.520 * [taylor]: Taking taylor expansion of n in n 1.525 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.525 * [taylor]: Taking taylor expansion of 2 in n 1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.525 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.525 * [taylor]: Taking taylor expansion of n in n 1.530 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 1.531 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.531 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.531 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.531 * [taylor]: Taking taylor expansion of f in n 1.531 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.531 * [taylor]: Taking taylor expansion of n in n 1.531 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.531 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.531 * [taylor]: Taking taylor expansion of f in n 1.531 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.531 * [taylor]: Taking taylor expansion of n in n 1.532 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.532 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.532 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.532 * [taylor]: Taking taylor expansion of f in f 1.533 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.533 * [taylor]: Taking taylor expansion of n in f 1.533 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.533 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.533 * [taylor]: Taking taylor expansion of f in f 1.533 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.533 * [taylor]: Taking taylor expansion of n in f 1.534 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.534 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.534 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.534 * [taylor]: Taking taylor expansion of f in f 1.534 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.534 * [taylor]: Taking taylor expansion of n in f 1.534 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.534 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.534 * [taylor]: Taking taylor expansion of f in f 1.535 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.535 * [taylor]: Taking taylor expansion of n in f 1.535 * [taylor]: Taking taylor expansion of 1 in n 1.537 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.537 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.537 * [taylor]: Taking taylor expansion of 2 in n 1.537 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.537 * [taylor]: Taking taylor expansion of n in n 1.540 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.540 * [taylor]: Taking taylor expansion of 2 in n 1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.540 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.540 * [taylor]: Taking taylor expansion of n in n 1.547 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.547 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.547 * [taylor]: Taking taylor expansion of 2 in n 1.547 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.547 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.547 * [taylor]: Taking taylor expansion of n in n 1.553 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 1.553 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.553 * [taylor]: Taking taylor expansion of -1 in n 1.553 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.553 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.553 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.553 * [taylor]: Taking taylor expansion of n in n 1.553 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.553 * [taylor]: Taking taylor expansion of f in n 1.553 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.553 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.553 * [taylor]: Taking taylor expansion of f in n 1.553 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.553 * [taylor]: Taking taylor expansion of n in n 1.554 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.554 * [taylor]: Taking taylor expansion of -1 in f 1.554 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.554 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.554 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.554 * [taylor]: Taking taylor expansion of n in f 1.554 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.554 * [taylor]: Taking taylor expansion of f in f 1.555 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.555 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.555 * [taylor]: Taking taylor expansion of f in f 1.555 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.555 * [taylor]: Taking taylor expansion of n in f 1.556 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.556 * [taylor]: Taking taylor expansion of -1 in f 1.556 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.556 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.556 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.556 * [taylor]: Taking taylor expansion of n in f 1.556 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.556 * [taylor]: Taking taylor expansion of f in f 1.556 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.556 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.556 * [taylor]: Taking taylor expansion of f in f 1.557 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.557 * [taylor]: Taking taylor expansion of n in f 1.558 * [taylor]: Taking taylor expansion of 1 in n 1.559 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.559 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.559 * [taylor]: Taking taylor expansion of 2 in n 1.559 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.560 * [taylor]: Taking taylor expansion of n in n 1.564 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.564 * [taylor]: Taking taylor expansion of 2 in n 1.564 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.564 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.564 * [taylor]: Taking taylor expansion of n in n 1.571 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.571 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.571 * [taylor]: Taking taylor expansion of 2 in n 1.571 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.571 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.571 * [taylor]: Taking taylor expansion of n in n 1.576 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.577 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in (f n) around 0 1.577 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in n 1.577 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.577 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.577 * [taylor]: Taking taylor expansion of -1 in n 1.578 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in n 1.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in n 1.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in n 1.578 * [taylor]: Taking taylor expansion of 1/3 in n 1.578 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in n 1.578 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 1.578 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 1.578 * [taylor]: Taking taylor expansion of (+ n f) in n 1.578 * [taylor]: Taking taylor expansion of n in n 1.578 * [taylor]: Taking taylor expansion of f in n 1.578 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 1.578 * [taylor]: Taking taylor expansion of (- f n) in n 1.578 * [taylor]: Taking taylor expansion of f in n 1.578 * [taylor]: Taking taylor expansion of n in n 1.581 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in f 1.581 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 1.581 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.581 * [taylor]: Taking taylor expansion of -1 in f 1.582 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 1.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 1.582 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 1.582 * [taylor]: Taking taylor expansion of 1/3 in f 1.582 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 1.582 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 1.582 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 1.582 * [taylor]: Taking taylor expansion of (+ n f) in f 1.582 * [taylor]: Taking taylor expansion of n in f 1.582 * [taylor]: Taking taylor expansion of f in f 1.582 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 1.582 * [taylor]: Taking taylor expansion of (- f n) in f 1.582 * [taylor]: Taking taylor expansion of f in f 1.582 * [taylor]: Taking taylor expansion of n in f 1.585 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in f 1.585 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 1.585 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.585 * [taylor]: Taking taylor expansion of -1 in f 1.585 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 1.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 1.585 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 1.586 * [taylor]: Taking taylor expansion of 1/3 in f 1.586 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 1.586 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 1.586 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 1.586 * [taylor]: Taking taylor expansion of (+ n f) in f 1.586 * [taylor]: Taking taylor expansion of n in f 1.586 * [taylor]: Taking taylor expansion of f in f 1.586 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 1.586 * [taylor]: Taking taylor expansion of (- f n) in f 1.586 * [taylor]: Taking taylor expansion of f in f 1.586 * [taylor]: Taking taylor expansion of n in f 1.593 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.593 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.593 * [taylor]: Taking taylor expansion of -1 in n 1.597 * [taylor]: Taking taylor expansion of (* 4/3 (/ (pow (cbrt -1) 2) n)) in n 1.597 * [taylor]: Taking taylor expansion of 4/3 in n 1.597 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 1.598 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.598 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.598 * [taylor]: Taking taylor expansion of -1 in n 1.598 * [taylor]: Taking taylor expansion of n in n 1.609 * [taylor]: Taking taylor expansion of (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) in n 1.609 * [taylor]: Taking taylor expansion of 8/9 in n 1.609 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 1.609 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.609 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.609 * [taylor]: Taking taylor expansion of -1 in n 1.610 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.610 * [taylor]: Taking taylor expansion of n in n 1.628 * [taylor]: Taking taylor expansion of (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) in n 1.628 * [taylor]: Taking taylor expansion of 68/81 in n 1.628 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 3)) in n 1.628 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.628 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.628 * [taylor]: Taking taylor expansion of -1 in n 1.629 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.629 * [taylor]: Taking taylor expansion of n in n 1.641 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3)) in (f n) around 0 1.641 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3)) in n 1.641 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.641 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.641 * [taylor]: Taking taylor expansion of -1 in n 1.642 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in n 1.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in n 1.642 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in n 1.642 * [taylor]: Taking taylor expansion of 1/3 in n 1.642 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in n 1.642 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 1.642 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 1.642 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.642 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.642 * [taylor]: Taking taylor expansion of f in n 1.642 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.642 * [taylor]: Taking taylor expansion of n in n 1.643 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 1.643 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.643 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.643 * [taylor]: Taking taylor expansion of f in n 1.643 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.643 * [taylor]: Taking taylor expansion of n in n 1.647 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3)) in f 1.647 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 1.647 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.647 * [taylor]: Taking taylor expansion of -1 in f 1.647 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 1.647 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 1.647 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 1.647 * [taylor]: Taking taylor expansion of 1/3 in f 1.647 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 1.647 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 1.647 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 1.647 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.647 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.648 * [taylor]: Taking taylor expansion of f in f 1.648 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.648 * [taylor]: Taking taylor expansion of n in f 1.648 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 1.648 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.648 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.648 * [taylor]: Taking taylor expansion of f in f 1.648 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.648 * [taylor]: Taking taylor expansion of n in f 1.652 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3)) in f 1.652 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 1.652 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.652 * [taylor]: Taking taylor expansion of -1 in f 1.652 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 1.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 1.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 1.653 * [taylor]: Taking taylor expansion of 1/3 in f 1.653 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 1.653 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 1.653 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 1.653 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.653 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.653 * [taylor]: Taking taylor expansion of f in f 1.653 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.653 * [taylor]: Taking taylor expansion of n in f 1.653 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 1.653 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.653 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.653 * [taylor]: Taking taylor expansion of f in f 1.654 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.654 * [taylor]: Taking taylor expansion of n in f 1.659 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.659 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.659 * [taylor]: Taking taylor expansion of -1 in n 1.663 * [taylor]: Taking taylor expansion of (* 4/3 (/ (pow (cbrt -1) 2) n)) in n 1.663 * [taylor]: Taking taylor expansion of 4/3 in n 1.663 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 1.663 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.663 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.663 * [taylor]: Taking taylor expansion of -1 in n 1.664 * [taylor]: Taking taylor expansion of n in n 1.678 * [taylor]: Taking taylor expansion of (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) in n 1.678 * [taylor]: Taking taylor expansion of 8/9 in n 1.678 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 1.678 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.678 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.678 * [taylor]: Taking taylor expansion of -1 in n 1.679 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.679 * [taylor]: Taking taylor expansion of n in n 1.699 * [taylor]: Taking taylor expansion of (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) in n 1.699 * [taylor]: Taking taylor expansion of 68/81 in n 1.699 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 3)) in n 1.699 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.699 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.699 * [taylor]: Taking taylor expansion of -1 in n 1.699 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.699 * [taylor]: Taking taylor expansion of n in n 1.711 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in (f n) around 0 1.711 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in n 1.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in n 1.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in n 1.711 * [taylor]: Taking taylor expansion of 1/3 in n 1.711 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in n 1.711 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 1.711 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 1.711 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.711 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.711 * [taylor]: Taking taylor expansion of f in n 1.711 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.711 * [taylor]: Taking taylor expansion of n in n 1.712 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 1.712 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.712 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.712 * [taylor]: Taking taylor expansion of n in n 1.712 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.712 * [taylor]: Taking taylor expansion of f in n 1.716 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 1.716 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 1.716 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 1.716 * [taylor]: Taking taylor expansion of 1/3 in f 1.716 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 1.716 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 1.716 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 1.716 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.716 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.716 * [taylor]: Taking taylor expansion of f in f 1.716 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.716 * [taylor]: Taking taylor expansion of n in f 1.716 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 1.716 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.716 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.716 * [taylor]: Taking taylor expansion of n in f 1.716 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.716 * [taylor]: Taking taylor expansion of f in f 1.720 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 1.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 1.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 1.720 * [taylor]: Taking taylor expansion of 1/3 in f 1.720 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 1.720 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 1.720 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 1.720 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.720 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.720 * [taylor]: Taking taylor expansion of f in f 1.721 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.721 * [taylor]: Taking taylor expansion of n in f 1.721 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 1.721 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.721 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.721 * [taylor]: Taking taylor expansion of n in f 1.721 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.721 * [taylor]: Taking taylor expansion of f in f 1.725 * [taylor]: Taking taylor expansion of 1 in n 1.725 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 1.725 * [taylor]: Taking taylor expansion of 4/3 in n 1.725 * [taylor]: Taking taylor expansion of n in n 1.731 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 1.731 * [taylor]: Taking taylor expansion of 8/9 in n 1.731 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.731 * [taylor]: Taking taylor expansion of n in n 1.741 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 1.741 * [taylor]: Taking taylor expansion of 68/81 in n 1.741 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.741 * [taylor]: Taking taylor expansion of n in n 1.745 * * * [progress]: simplifying candidates 1.759 * [simplify]: Simplifying using # : (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (expm1 (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n)))))) (log1p (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n)))))) (+ 1/3 1/3) (+ 1 1) (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (+ 1 1) (+ (log (cbrt (/ -1 (/ (- f n) (+ f n))))) (log (cbrt (/ -1 (/ (- f n) (+ f n)))))) (log (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n)))))) (exp (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n)))))) (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (* (cbrt (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n)))))) (cbrt (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))))) (cbrt (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n)))))) (* (* (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n)))))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) 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n))))) (* (cbrt (+ f n)) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (cbrt (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (sqrt (cbrt (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt -1)) (* (cbrt -1) (cbrt (/ -1 (/ (- f n) (+ f n))))) -1 1 1 -1 1 1 -1 1 1 (pow (cbrt -1) 2) (pow (cbrt -1) 2) 1 1.785 * * [simplify]: iteration 0 : 945 enodes (cost 7966 ) 1.800 * * [simplify]: iteration 1 : 3914 enodes (cost 7876 ) 1.862 * * [simplify]: iteration 2 : 5002 enodes (cost 7678 ) 1.891 * [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 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(cbrt (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (/ (- f n) (cbrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (/ (- f n) (sqrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (/ (- f n) (cbrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (/ (- f n) (sqrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (/ 1 (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (+ (* f f) (- (* n n) (* f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (cbrt -1) (- f n))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (cbrt (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))))) (* (cbrt (/ (sqrt -1) (/ (cbrt (- f n)) (cbrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (cbrt (- f n)) (sqrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (sqrt (- f n)) (cbrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))))) (* (cbrt (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (- f n) (cbrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (- f n) (sqrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (- f n) (cbrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (- f n) (sqrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (/ 1 (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ (sqrt -1) (+ (* f f) (- (* n n) (* f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ (sqrt -1) (- f n)))) (* (cbrt (/ -1 (cbrt (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (sqrt (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (cbrt (- f n)) (cbrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (cbrt (- f n)) (sqrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (cbrt (- f n)) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (cbrt (- f n)) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (sqrt (- f n)) (cbrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (sqrt (- f n)) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (sqrt (- f n)) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (- f n) (cbrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (- f n) (sqrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (pow (sqrt (cbrt (/ -1 (/ (- f n) (+ f n))))) 4) (pow (sqrt (cbrt (/ -1 (/ (- f n) (+ f n))))) 4) (* (cbrt (/ -1 (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (- f n) (cbrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (- f n) (sqrt (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (pow (sqrt (cbrt (/ -1 (/ (- f n) (+ f n))))) 4) (pow (sqrt (cbrt (/ -1 (/ (- f n) (+ f n))))) 4) (pow (sqrt (cbrt (/ -1 (/ (- f n) (+ f n))))) 4) (* (cbrt (/ -1 (/ 1 (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (+ (* f f) (- (* n n) (* f n))))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (- f n)))) (pow (sqrt (cbrt (/ -1 (/ (- f n) (+ f n))))) 4) (* (cbrt (/ 1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (+ f n)) (cbrt (/ -1 (/ (- f n) (+ f n))))) (pow (cbrt (cbrt (/ -1 (/ (- f n) (+ f n))))) 4) (pow (sqrt (cbrt (/ -1 (/ (- f n) (+ f n))))) 3) (pow (sqrt (cbrt (/ -1 (/ (- f n) (+ f n))))) 4) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt -1)) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt -1)) -1 1 1 -1 1 1 -1 1 1 (pow (cbrt -1) 2) (pow (cbrt -1) 2) 1 1.896 * * * [progress]: adding candidates to table 3.038 * * [progress]: iteration 4 / 4 3.038 * * * [progress]: picking best candidate 3.046 * * * * [pick]: Picked # 3.046 * * * [progress]: localizing error 3.069 * * * [progress]: generating rewritten candidates 3.069 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 2) 3.074 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 2 2) 3.079 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 2 1) 3.084 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.128 * * * [progress]: generating series expansions 3.128 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 2) 3.128 * [approximate]: Taking taylor expansion of (pow (/ (- f n) (+ n f)) 1/3) in (f n) around 0 3.128 * [taylor]: Taking taylor expansion of (pow (/ (- f n) (+ n f)) 1/3) in n 3.128 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- f n) (+ n f))))) in n 3.128 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- f n) (+ n f)))) in n 3.128 * [taylor]: Taking taylor expansion of 1/3 in n 3.128 * [taylor]: Taking taylor expansion of (log (/ (- f n) (+ n f))) in n 3.128 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 3.128 * [taylor]: Taking taylor expansion of (- f n) in n 3.128 * [taylor]: Taking taylor expansion of f in n 3.128 * [taylor]: Taking taylor expansion of n in n 3.128 * [taylor]: Taking taylor expansion of (+ n f) in n 3.128 * [taylor]: Taking taylor expansion of n in n 3.128 * [taylor]: Taking taylor expansion of f in n 3.131 * [taylor]: Taking taylor expansion of (pow (/ (- f n) (+ n f)) 1/3) in f 3.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- f n) (+ n f))))) in f 3.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- f n) (+ n f)))) in f 3.131 * [taylor]: Taking taylor expansion of 1/3 in f 3.131 * [taylor]: Taking taylor expansion of (log (/ (- f n) (+ n f))) in f 3.131 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.131 * [taylor]: Taking taylor expansion of (- f n) in f 3.131 * [taylor]: Taking taylor expansion of f in f 3.131 * [taylor]: Taking taylor expansion of n in f 3.131 * [taylor]: Taking taylor expansion of (+ n f) in f 3.131 * [taylor]: Taking taylor expansion of n in f 3.131 * [taylor]: Taking taylor expansion of f in f 3.133 * [taylor]: Taking taylor expansion of (pow (/ (- f n) (+ n f)) 1/3) in f 3.133 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- f n) (+ n f))))) in f 3.133 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- f n) (+ n f)))) in f 3.133 * [taylor]: Taking taylor expansion of 1/3 in f 3.133 * [taylor]: Taking taylor expansion of (log (/ (- f n) (+ n f))) in f 3.133 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.133 * [taylor]: Taking taylor expansion of (- f n) in f 3.133 * [taylor]: Taking taylor expansion of f in f 3.133 * [taylor]: Taking taylor expansion of n in f 3.133 * [taylor]: Taking taylor expansion of (+ n f) in f 3.133 * [taylor]: Taking taylor expansion of n in f 3.133 * [taylor]: Taking taylor expansion of f in f 3.135 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.135 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.135 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.135 * [taylor]: Taking taylor expansion of 1/3 in n 3.135 * [taylor]: Taking taylor expansion of (log -1) in n 3.135 * [taylor]: Taking taylor expansion of -1 in n 3.140 * [taylor]: Taking taylor expansion of (* -2/3 (* (pow -1 1/3) (/ 1 n))) in n 3.140 * [taylor]: Taking taylor expansion of -2/3 in n 3.140 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 n)) in n 3.140 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.140 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.140 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.140 * [taylor]: Taking taylor expansion of 1/3 in n 3.140 * [taylor]: Taking taylor expansion of (log -1) in n 3.140 * [taylor]: Taking taylor expansion of -1 in n 3.142 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.142 * [taylor]: Taking taylor expansion of n in n 3.152 * [taylor]: Taking taylor expansion of (* 2/9 (* (pow -1 1/3) (/ 1 (pow n 2)))) in n 3.152 * [taylor]: Taking taylor expansion of 2/9 in n 3.152 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 (pow n 2))) in n 3.152 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.152 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.152 * [taylor]: Taking taylor expansion of 1/3 in n 3.152 * [taylor]: Taking taylor expansion of (log -1) in n 3.152 * [taylor]: Taking taylor expansion of -1 in n 3.154 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.154 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.154 * [taylor]: Taking taylor expansion of n in n 3.176 * [taylor]: Taking taylor expansion of (* -22/81 (* (pow -1 1/3) (/ 1 (pow n 3)))) in n 3.176 * [taylor]: Taking taylor expansion of -22/81 in n 3.176 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 (pow n 3))) in n 3.176 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.176 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.176 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.176 * [taylor]: Taking taylor expansion of 1/3 in n 3.176 * [taylor]: Taking taylor expansion of (log -1) in n 3.176 * [taylor]: Taking taylor expansion of -1 in n 3.178 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.178 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.178 * [taylor]: Taking taylor expansion of n in n 3.200 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1/3) in (f n) around 0 3.200 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1/3) in n 3.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in n 3.200 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 3.200 * [taylor]: Taking taylor expansion of 1/3 in n 3.200 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 3.200 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 3.200 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.200 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.200 * [taylor]: Taking taylor expansion of f in n 3.200 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.200 * [taylor]: Taking taylor expansion of n in n 3.200 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.200 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.200 * [taylor]: Taking taylor expansion of f in n 3.200 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.200 * [taylor]: Taking taylor expansion of n in n 3.203 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1/3) in f 3.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 3.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 3.203 * [taylor]: Taking taylor expansion of 1/3 in f 3.203 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 3.203 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.203 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.203 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.203 * [taylor]: Taking taylor expansion of f in f 3.203 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.203 * [taylor]: Taking taylor expansion of n in f 3.204 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.204 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.204 * [taylor]: Taking taylor expansion of f in f 3.204 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.204 * [taylor]: Taking taylor expansion of n in f 3.207 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1/3) in f 3.207 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 3.207 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 3.207 * [taylor]: Taking taylor expansion of 1/3 in f 3.207 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 3.207 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.207 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.207 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.207 * [taylor]: Taking taylor expansion of f in f 3.207 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.207 * [taylor]: Taking taylor expansion of n in f 3.207 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.207 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.207 * [taylor]: Taking taylor expansion of f in f 3.207 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.208 * [taylor]: Taking taylor expansion of n in f 3.210 * [taylor]: Taking taylor expansion of 1 in n 3.211 * [taylor]: Taking taylor expansion of (/ -2/3 n) in n 3.211 * [taylor]: Taking taylor expansion of -2/3 in n 3.211 * [taylor]: Taking taylor expansion of n in n 3.216 * [taylor]: Taking taylor expansion of (/ 2/9 (pow n 2)) in n 3.216 * [taylor]: Taking taylor expansion of 2/9 in n 3.216 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.216 * [taylor]: Taking taylor expansion of n in n 3.225 * [taylor]: Taking taylor expansion of (/ -22/81 (pow n 3)) in n 3.225 * [taylor]: Taking taylor expansion of -22/81 in n 3.225 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.225 * [taylor]: Taking taylor expansion of n in n 3.230 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3)) in (f n) around 0 3.230 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3)) in n 3.230 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.230 * [taylor]: Taking taylor expansion of -1 in n 3.230 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3) in n 3.230 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 3.230 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 3.230 * [taylor]: Taking taylor expansion of 1/3 in n 3.230 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 3.230 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 3.231 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.231 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.231 * [taylor]: Taking taylor expansion of n in n 3.231 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.231 * [taylor]: Taking taylor expansion of f in n 3.231 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.231 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.231 * [taylor]: Taking taylor expansion of f in n 3.231 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.231 * [taylor]: Taking taylor expansion of n in n 3.234 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3)) in f 3.234 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.234 * [taylor]: Taking taylor expansion of -1 in f 3.235 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3) in f 3.235 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 3.235 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 3.235 * [taylor]: Taking taylor expansion of 1/3 in f 3.235 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.235 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.235 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.235 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.235 * [taylor]: Taking taylor expansion of n in f 3.235 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.235 * [taylor]: Taking taylor expansion of f in f 3.235 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.235 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.235 * [taylor]: Taking taylor expansion of f in f 3.236 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.236 * [taylor]: Taking taylor expansion of n in f 3.238 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3)) in f 3.238 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.238 * [taylor]: Taking taylor expansion of -1 in f 3.239 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3) in f 3.239 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 3.239 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 3.239 * [taylor]: Taking taylor expansion of 1/3 in f 3.239 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.239 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.239 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.239 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.239 * [taylor]: Taking taylor expansion of n in f 3.239 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.239 * [taylor]: Taking taylor expansion of f in f 3.239 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.239 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.239 * [taylor]: Taking taylor expansion of f in f 3.240 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.240 * [taylor]: Taking taylor expansion of n in f 3.244 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (cbrt -1)) in n 3.244 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.244 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.244 * [taylor]: Taking taylor expansion of 1/3 in n 3.244 * [taylor]: Taking taylor expansion of (log -1) in n 3.244 * [taylor]: Taking taylor expansion of -1 in n 3.246 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.246 * [taylor]: Taking taylor expansion of -1 in n 3.252 * [taylor]: Taking taylor expansion of (- (* 2/3 (* (pow -1 1/3) (/ (cbrt -1) n)))) in n 3.252 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow -1 1/3) (/ (cbrt -1) n))) in n 3.252 * [taylor]: Taking taylor expansion of 2/3 in n 3.252 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) n)) in n 3.252 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.252 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.252 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.252 * [taylor]: Taking taylor expansion of 1/3 in n 3.252 * [taylor]: Taking taylor expansion of (log -1) in n 3.252 * [taylor]: Taking taylor expansion of -1 in n 3.254 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 3.254 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.254 * [taylor]: Taking taylor expansion of -1 in n 3.255 * [taylor]: Taking taylor expansion of n in n 3.270 * [taylor]: Taking taylor expansion of (* 2/9 (* (pow -1 1/3) (/ (cbrt -1) (pow n 2)))) in n 3.270 * [taylor]: Taking taylor expansion of 2/9 in n 3.270 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) (pow n 2))) in n 3.270 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.270 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.270 * [taylor]: Taking taylor expansion of 1/3 in n 3.271 * [taylor]: Taking taylor expansion of (log -1) in n 3.271 * [taylor]: Taking taylor expansion of -1 in n 3.272 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 3.272 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.272 * [taylor]: Taking taylor expansion of -1 in n 3.273 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.273 * [taylor]: Taking taylor expansion of n in n 3.307 * [taylor]: Taking taylor expansion of (- (* 22/81 (* (pow -1 1/3) (/ (cbrt -1) (pow n 3))))) in n 3.307 * [taylor]: Taking taylor expansion of (* 22/81 (* (pow -1 1/3) (/ (cbrt -1) (pow n 3)))) in n 3.307 * [taylor]: Taking taylor expansion of 22/81 in n 3.307 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) (pow n 3))) in n 3.307 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.307 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.307 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.307 * [taylor]: Taking taylor expansion of 1/3 in n 3.307 * [taylor]: Taking taylor expansion of (log -1) in n 3.307 * [taylor]: Taking taylor expansion of -1 in n 3.309 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 3.309 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.309 * [taylor]: Taking taylor expansion of -1 in n 3.310 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.310 * [taylor]: Taking taylor expansion of n in n 3.331 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 2 2) 3.331 * [approximate]: Taking taylor expansion of (pow (/ (- f n) (+ n f)) 1/3) in (f n) around 0 3.331 * [taylor]: Taking taylor expansion of (pow (/ (- f n) (+ n f)) 1/3) in n 3.331 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- f n) (+ n f))))) in n 3.331 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- f n) (+ n f)))) in n 3.331 * [taylor]: Taking taylor expansion of 1/3 in n 3.331 * [taylor]: Taking taylor expansion of (log (/ (- f n) (+ n f))) in n 3.331 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 3.331 * [taylor]: Taking taylor expansion of (- f n) in n 3.331 * [taylor]: Taking taylor expansion of f in n 3.331 * [taylor]: Taking taylor expansion of n in n 3.331 * [taylor]: Taking taylor expansion of (+ n f) in n 3.331 * [taylor]: Taking taylor expansion of n in n 3.331 * [taylor]: Taking taylor expansion of f in n 3.334 * [taylor]: Taking taylor expansion of (pow (/ (- f n) (+ n f)) 1/3) in f 3.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- f n) (+ n f))))) in f 3.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- f n) (+ n f)))) in f 3.334 * [taylor]: Taking taylor expansion of 1/3 in f 3.334 * [taylor]: Taking taylor expansion of (log (/ (- f n) (+ n f))) in f 3.334 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.334 * [taylor]: Taking taylor expansion of (- f n) in f 3.334 * [taylor]: Taking taylor expansion of f in f 3.334 * [taylor]: Taking taylor expansion of n in f 3.334 * [taylor]: Taking taylor expansion of (+ n f) in f 3.334 * [taylor]: Taking taylor expansion of n in f 3.334 * [taylor]: Taking taylor expansion of f in f 3.336 * [taylor]: Taking taylor expansion of (pow (/ (- f n) (+ n f)) 1/3) in f 3.336 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- f n) (+ n f))))) in f 3.336 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- f n) (+ n f)))) in f 3.336 * [taylor]: Taking taylor expansion of 1/3 in f 3.336 * [taylor]: Taking taylor expansion of (log (/ (- f n) (+ n f))) in f 3.336 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.336 * [taylor]: Taking taylor expansion of (- f n) in f 3.336 * [taylor]: Taking taylor expansion of f in f 3.336 * [taylor]: Taking taylor expansion of n in f 3.336 * [taylor]: Taking taylor expansion of (+ n f) in f 3.336 * [taylor]: Taking taylor expansion of n in f 3.336 * [taylor]: Taking taylor expansion of f in f 3.338 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.338 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.338 * [taylor]: Taking taylor expansion of 1/3 in n 3.338 * [taylor]: Taking taylor expansion of (log -1) in n 3.338 * [taylor]: Taking taylor expansion of -1 in n 3.343 * [taylor]: Taking taylor expansion of (* -2/3 (* (pow -1 1/3) (/ 1 n))) in n 3.343 * [taylor]: Taking taylor expansion of -2/3 in n 3.343 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 n)) in n 3.343 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.343 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.343 * [taylor]: Taking taylor expansion of 1/3 in n 3.343 * [taylor]: Taking taylor expansion of (log -1) in n 3.343 * [taylor]: Taking taylor expansion of -1 in n 3.345 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.345 * [taylor]: Taking taylor expansion of n in n 3.355 * [taylor]: Taking taylor expansion of (* 2/9 (* (pow -1 1/3) (/ 1 (pow n 2)))) in n 3.355 * [taylor]: Taking taylor expansion of 2/9 in n 3.355 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 (pow n 2))) in n 3.355 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.355 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.355 * [taylor]: Taking taylor expansion of 1/3 in n 3.355 * [taylor]: Taking taylor expansion of (log -1) in n 3.355 * [taylor]: Taking taylor expansion of -1 in n 3.357 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.357 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.357 * [taylor]: Taking taylor expansion of n in n 3.382 * [taylor]: Taking taylor expansion of (* -22/81 (* (pow -1 1/3) (/ 1 (pow n 3)))) in n 3.382 * [taylor]: Taking taylor expansion of -22/81 in n 3.382 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 (pow n 3))) in n 3.382 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.382 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.382 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.382 * [taylor]: Taking taylor expansion of 1/3 in n 3.382 * [taylor]: Taking taylor expansion of (log -1) in n 3.382 * [taylor]: Taking taylor expansion of -1 in n 3.384 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.384 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.384 * [taylor]: Taking taylor expansion of n in n 3.402 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1/3) in (f n) around 0 3.402 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1/3) in n 3.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in n 3.402 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 3.402 * [taylor]: Taking taylor expansion of 1/3 in n 3.402 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 3.402 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 3.402 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.402 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.402 * [taylor]: Taking taylor expansion of f in n 3.402 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.402 * [taylor]: Taking taylor expansion of n in n 3.403 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.403 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.403 * [taylor]: Taking taylor expansion of f in n 3.403 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.403 * [taylor]: Taking taylor expansion of n in n 3.406 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1/3) in f 3.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 3.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 3.406 * [taylor]: Taking taylor expansion of 1/3 in f 3.406 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 3.406 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.406 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.406 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.406 * [taylor]: Taking taylor expansion of f in f 3.406 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.406 * [taylor]: Taking taylor expansion of n in f 3.406 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.406 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.406 * [taylor]: Taking taylor expansion of f in f 3.406 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.406 * [taylor]: Taking taylor expansion of n in f 3.409 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1/3) in f 3.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 3.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 3.409 * [taylor]: Taking taylor expansion of 1/3 in f 3.409 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 3.409 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.409 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.410 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.410 * [taylor]: Taking taylor expansion of f in f 3.410 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.410 * [taylor]: Taking taylor expansion of n in f 3.410 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.410 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.410 * [taylor]: Taking taylor expansion of f in f 3.410 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.410 * [taylor]: Taking taylor expansion of n in f 3.413 * [taylor]: Taking taylor expansion of 1 in n 3.413 * [taylor]: Taking taylor expansion of (/ -2/3 n) in n 3.414 * [taylor]: Taking taylor expansion of -2/3 in n 3.414 * [taylor]: Taking taylor expansion of n in n 3.419 * [taylor]: Taking taylor expansion of (/ 2/9 (pow n 2)) in n 3.419 * [taylor]: Taking taylor expansion of 2/9 in n 3.419 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.419 * [taylor]: Taking taylor expansion of n in n 3.427 * [taylor]: Taking taylor expansion of (/ -22/81 (pow n 3)) in n 3.427 * [taylor]: Taking taylor expansion of -22/81 in n 3.427 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.427 * [taylor]: Taking taylor expansion of n in n 3.432 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3)) in (f n) around 0 3.432 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3)) in n 3.432 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.432 * [taylor]: Taking taylor expansion of -1 in n 3.433 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3) in n 3.433 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 3.433 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 3.433 * [taylor]: Taking taylor expansion of 1/3 in n 3.433 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 3.433 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 3.433 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.433 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.433 * [taylor]: Taking taylor expansion of n in n 3.433 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.433 * [taylor]: Taking taylor expansion of f in n 3.433 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.433 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.433 * [taylor]: Taking taylor expansion of f in n 3.433 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.434 * [taylor]: Taking taylor expansion of n in n 3.437 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3)) in f 3.437 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.437 * [taylor]: Taking taylor expansion of -1 in f 3.440 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3) in f 3.440 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 3.440 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 3.440 * [taylor]: Taking taylor expansion of 1/3 in f 3.440 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.440 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.440 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.440 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.440 * [taylor]: Taking taylor expansion of n in f 3.440 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.440 * [taylor]: Taking taylor expansion of f in f 3.441 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.441 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.441 * [taylor]: Taking taylor expansion of f in f 3.441 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.441 * [taylor]: Taking taylor expansion of n in f 3.444 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3)) in f 3.444 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.444 * [taylor]: Taking taylor expansion of -1 in f 3.445 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3) in f 3.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 3.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 3.445 * [taylor]: Taking taylor expansion of 1/3 in f 3.445 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.445 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.445 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.445 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.445 * [taylor]: Taking taylor expansion of n in f 3.445 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.445 * [taylor]: Taking taylor expansion of f in f 3.445 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.445 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.445 * [taylor]: Taking taylor expansion of f in f 3.445 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.445 * [taylor]: Taking taylor expansion of n in f 3.449 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (cbrt -1)) in n 3.449 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.449 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.449 * [taylor]: Taking taylor expansion of 1/3 in n 3.449 * [taylor]: Taking taylor expansion of (log -1) in n 3.449 * [taylor]: Taking taylor expansion of -1 in n 3.451 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.451 * [taylor]: Taking taylor expansion of -1 in n 3.458 * [taylor]: Taking taylor expansion of (- (* 2/3 (* (pow -1 1/3) (/ (cbrt -1) n)))) in n 3.458 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow -1 1/3) (/ (cbrt -1) n))) in n 3.458 * [taylor]: Taking taylor expansion of 2/3 in n 3.458 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) n)) in n 3.458 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.458 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.458 * [taylor]: Taking taylor expansion of 1/3 in n 3.458 * [taylor]: Taking taylor expansion of (log -1) in n 3.458 * [taylor]: Taking taylor expansion of -1 in n 3.460 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 3.460 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.460 * [taylor]: Taking taylor expansion of -1 in n 3.460 * [taylor]: Taking taylor expansion of n in n 3.476 * [taylor]: Taking taylor expansion of (* 2/9 (* (pow -1 1/3) (/ (cbrt -1) (pow n 2)))) in n 3.476 * [taylor]: Taking taylor expansion of 2/9 in n 3.476 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) (pow n 2))) in n 3.476 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.476 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.476 * [taylor]: Taking taylor expansion of 1/3 in n 3.476 * [taylor]: Taking taylor expansion of (log -1) in n 3.476 * [taylor]: Taking taylor expansion of -1 in n 3.478 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 3.478 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.478 * [taylor]: Taking taylor expansion of -1 in n 3.478 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.478 * [taylor]: Taking taylor expansion of n in n 3.509 * [taylor]: Taking taylor expansion of (- (* 22/81 (* (pow -1 1/3) (/ (cbrt -1) (pow n 3))))) in n 3.509 * [taylor]: Taking taylor expansion of (* 22/81 (* (pow -1 1/3) (/ (cbrt -1) (pow n 3)))) in n 3.509 * [taylor]: Taking taylor expansion of 22/81 in n 3.509 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) (pow n 3))) in n 3.509 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.509 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.509 * [taylor]: Taking taylor expansion of 1/3 in n 3.510 * [taylor]: Taking taylor expansion of (log -1) in n 3.510 * [taylor]: Taking taylor expansion of -1 in n 3.511 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 3.511 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.511 * [taylor]: Taking taylor expansion of -1 in n 3.512 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.512 * [taylor]: Taking taylor expansion of n in n 3.536 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 2 1) 3.536 * [approximate]: Taking taylor expansion of (pow (/ (- f n) (+ n f)) 1/3) in (f n) around 0 3.536 * [taylor]: Taking taylor expansion of (pow (/ (- f n) (+ n f)) 1/3) in n 3.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- f n) (+ n f))))) in n 3.536 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- f n) (+ n f)))) in n 3.536 * [taylor]: Taking taylor expansion of 1/3 in n 3.536 * [taylor]: Taking taylor expansion of (log (/ (- f n) (+ n f))) in n 3.536 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 3.536 * [taylor]: Taking taylor expansion of (- f n) in n 3.536 * [taylor]: Taking taylor expansion of f in n 3.536 * [taylor]: Taking taylor expansion of n in n 3.536 * [taylor]: Taking taylor expansion of (+ n f) in n 3.536 * [taylor]: Taking taylor expansion of n in n 3.536 * [taylor]: Taking taylor expansion of f in n 3.538 * [taylor]: Taking taylor expansion of (pow (/ (- f n) (+ n f)) 1/3) in f 3.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- f n) (+ n f))))) in f 3.538 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- f n) (+ n f)))) in f 3.538 * [taylor]: Taking taylor expansion of 1/3 in f 3.538 * [taylor]: Taking taylor expansion of (log (/ (- f n) (+ n f))) in f 3.538 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.538 * [taylor]: Taking taylor expansion of (- f n) in f 3.538 * [taylor]: Taking taylor expansion of f in f 3.538 * [taylor]: Taking taylor expansion of n in f 3.538 * [taylor]: Taking taylor expansion of (+ n f) in f 3.538 * [taylor]: Taking taylor expansion of n in f 3.538 * [taylor]: Taking taylor expansion of f in f 3.540 * [taylor]: Taking taylor expansion of (pow (/ (- f n) (+ n f)) 1/3) in f 3.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- f n) (+ n f))))) in f 3.540 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- f n) (+ n f)))) in f 3.540 * [taylor]: Taking taylor expansion of 1/3 in f 3.540 * [taylor]: Taking taylor expansion of (log (/ (- f n) (+ n f))) in f 3.540 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.540 * [taylor]: Taking taylor expansion of (- f n) in f 3.540 * [taylor]: Taking taylor expansion of f in f 3.540 * [taylor]: Taking taylor expansion of n in f 3.540 * [taylor]: Taking taylor expansion of (+ n f) in f 3.540 * [taylor]: Taking taylor expansion of n in f 3.540 * [taylor]: Taking taylor expansion of f in f 3.542 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.542 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.542 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.542 * [taylor]: Taking taylor expansion of 1/3 in n 3.542 * [taylor]: Taking taylor expansion of (log -1) in n 3.543 * [taylor]: Taking taylor expansion of -1 in n 3.547 * [taylor]: Taking taylor expansion of (* -2/3 (* (pow -1 1/3) (/ 1 n))) in n 3.547 * [taylor]: Taking taylor expansion of -2/3 in n 3.547 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 n)) in n 3.547 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.547 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.547 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.547 * [taylor]: Taking taylor expansion of 1/3 in n 3.547 * [taylor]: Taking taylor expansion of (log -1) in n 3.547 * [taylor]: Taking taylor expansion of -1 in n 3.549 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.549 * [taylor]: Taking taylor expansion of n in n 3.559 * [taylor]: Taking taylor expansion of (* 2/9 (* (pow -1 1/3) (/ 1 (pow n 2)))) in n 3.559 * [taylor]: Taking taylor expansion of 2/9 in n 3.559 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 (pow n 2))) in n 3.559 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.559 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.559 * [taylor]: Taking taylor expansion of 1/3 in n 3.559 * [taylor]: Taking taylor expansion of (log -1) in n 3.559 * [taylor]: Taking taylor expansion of -1 in n 3.561 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.561 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.561 * [taylor]: Taking taylor expansion of n in n 3.583 * [taylor]: Taking taylor expansion of (* -22/81 (* (pow -1 1/3) (/ 1 (pow n 3)))) in n 3.583 * [taylor]: Taking taylor expansion of -22/81 in n 3.583 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 (pow n 3))) in n 3.583 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.583 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.583 * [taylor]: Taking taylor expansion of 1/3 in n 3.583 * [taylor]: Taking taylor expansion of (log -1) in n 3.583 * [taylor]: Taking taylor expansion of -1 in n 3.585 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.585 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.585 * [taylor]: Taking taylor expansion of n in n 3.606 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1/3) in (f n) around 0 3.606 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1/3) in n 3.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in n 3.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 3.606 * [taylor]: Taking taylor expansion of 1/3 in n 3.606 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 3.606 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 3.606 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.606 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.606 * [taylor]: Taking taylor expansion of f in n 3.606 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.606 * [taylor]: Taking taylor expansion of n in n 3.606 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.606 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.606 * [taylor]: Taking taylor expansion of f in n 3.607 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.607 * [taylor]: Taking taylor expansion of n in n 3.609 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1/3) in f 3.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 3.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 3.609 * [taylor]: Taking taylor expansion of 1/3 in f 3.609 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 3.610 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.610 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.610 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.610 * [taylor]: Taking taylor expansion of f in f 3.610 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.610 * [taylor]: Taking taylor expansion of n in f 3.610 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.610 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.610 * [taylor]: Taking taylor expansion of f in f 3.610 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.610 * [taylor]: Taking taylor expansion of n in f 3.613 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1/3) in f 3.613 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 3.613 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 3.613 * [taylor]: Taking taylor expansion of 1/3 in f 3.613 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 3.613 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.613 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.613 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.613 * [taylor]: Taking taylor expansion of f in f 3.614 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.614 * [taylor]: Taking taylor expansion of n in f 3.614 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.614 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.614 * [taylor]: Taking taylor expansion of f in f 3.614 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.614 * [taylor]: Taking taylor expansion of n in f 3.617 * [taylor]: Taking taylor expansion of 1 in n 3.617 * [taylor]: Taking taylor expansion of (/ -2/3 n) in n 3.617 * [taylor]: Taking taylor expansion of -2/3 in n 3.617 * [taylor]: Taking taylor expansion of n in n 3.622 * [taylor]: Taking taylor expansion of (/ 2/9 (pow n 2)) in n 3.622 * [taylor]: Taking taylor expansion of 2/9 in n 3.622 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.622 * [taylor]: Taking taylor expansion of n in n 3.630 * [taylor]: Taking taylor expansion of (/ -22/81 (pow n 3)) in n 3.630 * [taylor]: Taking taylor expansion of -22/81 in n 3.630 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.631 * [taylor]: Taking taylor expansion of n in n 3.636 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3)) in (f n) around 0 3.636 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3)) in n 3.636 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.636 * [taylor]: Taking taylor expansion of -1 in n 3.636 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3) in n 3.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 3.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 3.637 * [taylor]: Taking taylor expansion of 1/3 in n 3.637 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 3.637 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 3.637 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.637 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.637 * [taylor]: Taking taylor expansion of n in n 3.637 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.637 * [taylor]: Taking taylor expansion of f in n 3.637 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.637 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.637 * [taylor]: Taking taylor expansion of f in n 3.637 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.637 * [taylor]: Taking taylor expansion of n in n 3.640 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3)) in f 3.640 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.640 * [taylor]: Taking taylor expansion of -1 in f 3.641 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3) in f 3.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 3.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 3.641 * [taylor]: Taking taylor expansion of 1/3 in f 3.641 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.641 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.641 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.641 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.641 * [taylor]: Taking taylor expansion of n in f 3.641 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.641 * [taylor]: Taking taylor expansion of f in f 3.641 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.641 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.641 * [taylor]: Taking taylor expansion of f in f 3.642 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.642 * [taylor]: Taking taylor expansion of n in f 3.645 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3)) in f 3.645 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.645 * [taylor]: Taking taylor expansion of -1 in f 3.645 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1/3) in f 3.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 3.645 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 3.645 * [taylor]: Taking taylor expansion of 1/3 in f 3.646 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.646 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.646 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.646 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.646 * [taylor]: Taking taylor expansion of n in f 3.646 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.646 * [taylor]: Taking taylor expansion of f in f 3.646 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.646 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.646 * [taylor]: Taking taylor expansion of f in f 3.646 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.646 * [taylor]: Taking taylor expansion of n in f 3.650 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (cbrt -1)) in n 3.650 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.650 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.650 * [taylor]: Taking taylor expansion of 1/3 in n 3.650 * [taylor]: Taking taylor expansion of (log -1) in n 3.650 * [taylor]: Taking taylor expansion of -1 in n 3.652 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.652 * [taylor]: Taking taylor expansion of -1 in n 3.658 * [taylor]: Taking taylor expansion of (- (* 2/3 (* (pow -1 1/3) (/ (cbrt -1) n)))) in n 3.658 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow -1 1/3) (/ (cbrt -1) n))) in n 3.658 * [taylor]: Taking taylor expansion of 2/3 in n 3.658 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) n)) in n 3.658 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.658 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.658 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.659 * [taylor]: Taking taylor expansion of 1/3 in n 3.659 * [taylor]: Taking taylor expansion of (log -1) in n 3.659 * [taylor]: Taking taylor expansion of -1 in n 3.660 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 3.660 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.660 * [taylor]: Taking taylor expansion of -1 in n 3.661 * [taylor]: Taking taylor expansion of n in n 3.677 * [taylor]: Taking taylor expansion of (* 2/9 (* (pow -1 1/3) (/ (cbrt -1) (pow n 2)))) in n 3.677 * [taylor]: Taking taylor expansion of 2/9 in n 3.677 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) (pow n 2))) in n 3.677 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.677 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.677 * [taylor]: Taking taylor expansion of 1/3 in n 3.677 * [taylor]: Taking taylor expansion of (log -1) in n 3.677 * [taylor]: Taking taylor expansion of -1 in n 3.685 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 3.685 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.685 * [taylor]: Taking taylor expansion of -1 in n 3.685 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.685 * [taylor]: Taking taylor expansion of n in n 3.716 * [taylor]: Taking taylor expansion of (- (* 22/81 (* (pow -1 1/3) (/ (cbrt -1) (pow n 3))))) in n 3.717 * [taylor]: Taking taylor expansion of (* 22/81 (* (pow -1 1/3) (/ (cbrt -1) (pow n 3)))) in n 3.717 * [taylor]: Taking taylor expansion of 22/81 in n 3.717 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) (pow n 3))) in n 3.717 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 3.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 3.717 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 3.717 * [taylor]: Taking taylor expansion of 1/3 in n 3.717 * [taylor]: Taking taylor expansion of (log -1) in n 3.717 * [taylor]: Taking taylor expansion of -1 in n 3.718 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 3.718 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.718 * [taylor]: Taking taylor expansion of -1 in n 3.719 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.719 * [taylor]: Taking taylor expansion of n in n 3.740 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.741 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ (+ n f) (- f n)) 1/9)) in (f n) around 0 3.741 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ (+ n f) (- f n)) 1/9)) in n 3.741 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in n 3.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in n 3.741 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in n 3.741 * [taylor]: Taking taylor expansion of 1/3 in n 3.741 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in n 3.741 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.741 * [taylor]: Taking taylor expansion of -1 in n 3.745 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/9) in n 3.745 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ n f) (- f n))))) in n 3.745 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ n f) (- f n)))) in n 3.745 * [taylor]: Taking taylor expansion of 1/9 in n 3.745 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in n 3.745 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.745 * [taylor]: Taking taylor expansion of (+ n f) in n 3.745 * [taylor]: Taking taylor expansion of n in n 3.745 * [taylor]: Taking taylor expansion of f in n 3.745 * [taylor]: Taking taylor expansion of (- f n) in n 3.745 * [taylor]: Taking taylor expansion of f in n 3.745 * [taylor]: Taking taylor expansion of n in n 3.747 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ (+ n f) (- f n)) 1/9)) in f 3.747 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in f 3.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in f 3.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in f 3.747 * [taylor]: Taking taylor expansion of 1/3 in f 3.747 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in f 3.747 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.747 * [taylor]: Taking taylor expansion of -1 in f 3.750 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/9) in f 3.750 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ n f) (- f n))))) in f 3.751 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ n f) (- f n)))) in f 3.751 * [taylor]: Taking taylor expansion of 1/9 in f 3.751 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 3.751 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.751 * [taylor]: Taking taylor expansion of (+ n f) in f 3.751 * [taylor]: Taking taylor expansion of n in f 3.751 * [taylor]: Taking taylor expansion of f in f 3.751 * [taylor]: Taking taylor expansion of (- f n) in f 3.751 * [taylor]: Taking taylor expansion of f in f 3.751 * [taylor]: Taking taylor expansion of n in f 3.752 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ (+ n f) (- f n)) 1/9)) in f 3.752 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in f 3.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in f 3.752 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in f 3.753 * [taylor]: Taking taylor expansion of 1/3 in f 3.753 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in f 3.753 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.753 * [taylor]: Taking taylor expansion of -1 in f 3.756 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/9) in f 3.756 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ n f) (- f n))))) in f 3.756 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ n f) (- f n)))) in f 3.756 * [taylor]: Taking taylor expansion of 1/9 in f 3.756 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 3.756 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.756 * [taylor]: Taking taylor expansion of (+ n f) in f 3.756 * [taylor]: Taking taylor expansion of n in f 3.756 * [taylor]: Taking taylor expansion of f in f 3.756 * [taylor]: Taking taylor expansion of (- f n) in f 3.756 * [taylor]: Taking taylor expansion of f in f 3.756 * [taylor]: Taking taylor expansion of n in f 3.759 * [taylor]: Taking taylor expansion of (* (pow -1 1/9) (pow (cbrt -1) 1/3)) in n 3.759 * [taylor]: Taking taylor expansion of (pow -1 1/9) in n 3.759 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log -1))) in n 3.759 * [taylor]: Taking taylor expansion of (* 1/9 (log -1)) in n 3.759 * [taylor]: Taking taylor expansion of 1/9 in n 3.759 * [taylor]: Taking taylor expansion of (log -1) in n 3.759 * [taylor]: Taking taylor expansion of -1 in n 3.767 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in n 3.767 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in n 3.767 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in n 3.767 * [taylor]: Taking taylor expansion of 1/3 in n 3.767 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in n 3.767 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.767 * [taylor]: Taking taylor expansion of -1 in n 3.780 * [taylor]: Taking taylor expansion of (* 2/9 (* (pow -1 1/9) (* (pow (cbrt -1) 1/3) (/ 1 n)))) in n 3.780 * [taylor]: Taking taylor expansion of 2/9 in n 3.780 * [taylor]: Taking taylor expansion of (* (pow -1 1/9) (* (pow (cbrt -1) 1/3) (/ 1 n))) in n 3.780 * [taylor]: Taking taylor expansion of (pow -1 1/9) in n 3.780 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log -1))) in n 3.780 * [taylor]: Taking taylor expansion of (* 1/9 (log -1)) in n 3.780 * [taylor]: Taking taylor expansion of 1/9 in n 3.780 * [taylor]: Taking taylor expansion of (log -1) in n 3.780 * [taylor]: Taking taylor expansion of -1 in n 3.782 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (/ 1 n)) in n 3.782 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in n 3.782 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in n 3.782 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in n 3.782 * [taylor]: Taking taylor expansion of 1/3 in n 3.782 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in n 3.782 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.782 * [taylor]: Taking taylor expansion of -1 in n 3.785 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.785 * [taylor]: Taking taylor expansion of n in n 3.809 * [taylor]: Taking taylor expansion of (* 2/81 (* (pow -1 1/9) (* (pow (cbrt -1) 1/3) (/ 1 (pow n 2))))) in n 3.809 * [taylor]: Taking taylor expansion of 2/81 in n 3.809 * [taylor]: Taking taylor expansion of (* (pow -1 1/9) (* (pow (cbrt -1) 1/3) (/ 1 (pow n 2)))) in n 3.809 * [taylor]: Taking taylor expansion of (pow -1 1/9) in n 3.809 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log -1))) in n 3.809 * [taylor]: Taking taylor expansion of (* 1/9 (log -1)) in n 3.809 * [taylor]: Taking taylor expansion of 1/9 in n 3.809 * [taylor]: Taking taylor expansion of (log -1) in n 3.809 * [taylor]: Taking taylor expansion of -1 in n 3.810 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (/ 1 (pow n 2))) in n 3.811 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in n 3.811 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in n 3.811 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in n 3.811 * [taylor]: Taking taylor expansion of 1/3 in n 3.811 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in n 3.811 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.811 * [taylor]: Taking taylor expansion of -1 in n 3.814 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.814 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.814 * [taylor]: Taking taylor expansion of n in n 3.869 * [taylor]: Taking taylor expansion of (* 166/2187 (* (pow -1 1/9) (* (pow (cbrt -1) 1/3) (/ 1 (pow n 3))))) in n 3.869 * [taylor]: Taking taylor expansion of 166/2187 in n 3.869 * [taylor]: Taking taylor expansion of (* (pow -1 1/9) (* (pow (cbrt -1) 1/3) (/ 1 (pow n 3)))) in n 3.869 * [taylor]: Taking taylor expansion of (pow -1 1/9) in n 3.869 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log -1))) in n 3.869 * [taylor]: Taking taylor expansion of (* 1/9 (log -1)) in n 3.869 * [taylor]: Taking taylor expansion of 1/9 in n 3.869 * [taylor]: Taking taylor expansion of (log -1) in n 3.869 * [taylor]: Taking taylor expansion of -1 in n 3.871 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (/ 1 (pow n 3))) in n 3.871 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in n 3.871 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in n 3.871 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in n 3.871 * [taylor]: Taking taylor expansion of 1/3 in n 3.871 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in n 3.871 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.871 * [taylor]: Taking taylor expansion of -1 in n 3.874 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.874 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.874 * [taylor]: Taking taylor expansion of n in n 3.909 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/9)) in (f n) around 0 3.909 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/9)) in n 3.909 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in n 3.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in n 3.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in n 3.909 * [taylor]: Taking taylor expansion of 1/3 in n 3.909 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in n 3.909 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.909 * [taylor]: Taking taylor expansion of -1 in n 3.913 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/9) in n 3.913 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 3.913 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 3.913 * [taylor]: Taking taylor expansion of 1/9 in n 3.913 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.913 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.913 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.913 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.913 * [taylor]: Taking taylor expansion of f in n 3.913 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.913 * [taylor]: Taking taylor expansion of n in n 3.913 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.913 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.913 * [taylor]: Taking taylor expansion of f in n 3.913 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.913 * [taylor]: Taking taylor expansion of n in n 3.916 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/9)) in f 3.916 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in f 3.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in f 3.916 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in f 3.916 * [taylor]: Taking taylor expansion of 1/3 in f 3.916 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in f 3.916 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.916 * [taylor]: Taking taylor expansion of -1 in f 3.925 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/9) in f 3.925 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 3.925 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.925 * [taylor]: Taking taylor expansion of 1/9 in f 3.925 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.925 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.925 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.925 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.925 * [taylor]: Taking taylor expansion of f in f 3.926 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.926 * [taylor]: Taking taylor expansion of n in f 3.926 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.926 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.926 * [taylor]: Taking taylor expansion of f in f 3.926 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.926 * [taylor]: Taking taylor expansion of n in f 3.929 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/9)) in f 3.929 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in f 3.929 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in f 3.929 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in f 3.929 * [taylor]: Taking taylor expansion of 1/3 in f 3.929 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in f 3.930 * [taylor]: Taking taylor expansion of (cbrt -1) in f 3.930 * [taylor]: Taking taylor expansion of -1 in f 3.933 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/9) in f 3.933 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 3.933 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.933 * [taylor]: Taking taylor expansion of 1/9 in f 3.933 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.933 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.933 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.933 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.933 * [taylor]: Taking taylor expansion of f in f 3.933 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.933 * [taylor]: Taking taylor expansion of n in f 3.933 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.933 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.933 * [taylor]: Taking taylor expansion of f in f 3.934 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.934 * [taylor]: Taking taylor expansion of n in f 3.938 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in n 3.938 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in n 3.938 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in n 3.938 * [taylor]: Taking taylor expansion of 1/3 in n 3.938 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in n 3.938 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.938 * [taylor]: Taking taylor expansion of -1 in n 3.945 * [taylor]: Taking taylor expansion of (* 2/9 (* (pow (cbrt -1) 1/3) (/ 1 n))) in n 3.945 * [taylor]: Taking taylor expansion of 2/9 in n 3.945 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (/ 1 n)) in n 3.945 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in n 3.945 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in n 3.945 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in n 3.945 * [taylor]: Taking taylor expansion of 1/3 in n 3.945 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in n 3.945 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.945 * [taylor]: Taking taylor expansion of -1 in n 3.948 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.948 * [taylor]: Taking taylor expansion of n in n 3.965 * [taylor]: Taking taylor expansion of (* 2/81 (* (pow (cbrt -1) 1/3) (/ 1 (pow n 2)))) in n 3.965 * [taylor]: Taking taylor expansion of 2/81 in n 3.965 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (/ 1 (pow n 2))) in n 3.965 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in n 3.965 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in n 3.965 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in n 3.965 * [taylor]: Taking taylor expansion of 1/3 in n 3.965 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in n 3.965 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.965 * [taylor]: Taking taylor expansion of -1 in n 3.968 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.968 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.969 * [taylor]: Taking taylor expansion of n in n 4.007 * [taylor]: Taking taylor expansion of (* 166/2187 (* (pow (cbrt -1) 1/3) (/ 1 (pow n 3)))) in n 4.007 * [taylor]: Taking taylor expansion of 166/2187 in n 4.007 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (/ 1 (pow n 3))) in n 4.007 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in n 4.007 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in n 4.007 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in n 4.007 * [taylor]: Taking taylor expansion of 1/3 in n 4.007 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in n 4.007 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.007 * [taylor]: Taking taylor expansion of -1 in n 4.011 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.011 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.011 * [taylor]: Taking taylor expansion of n in n 4.032 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/9) in (f n) around 0 4.032 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/9) in n 4.032 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 4.032 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 4.032 * [taylor]: Taking taylor expansion of 1/9 in n 4.032 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 4.032 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.032 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.032 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.032 * [taylor]: Taking taylor expansion of f in n 4.032 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.032 * [taylor]: Taking taylor expansion of n in n 4.032 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.032 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.032 * [taylor]: Taking taylor expansion of n in n 4.032 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.032 * [taylor]: Taking taylor expansion of f in n 4.035 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/9) in f 4.035 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 4.035 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 4.035 * [taylor]: Taking taylor expansion of 1/9 in f 4.035 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 4.035 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.035 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.035 * [taylor]: Taking taylor expansion of f in f 4.036 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.036 * [taylor]: Taking taylor expansion of n in f 4.036 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.036 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.036 * [taylor]: Taking taylor expansion of n in f 4.036 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.036 * [taylor]: Taking taylor expansion of f in f 4.039 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/9) in f 4.039 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 4.039 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 4.039 * [taylor]: Taking taylor expansion of 1/9 in f 4.039 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 4.039 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.039 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.039 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.039 * [taylor]: Taking taylor expansion of f in f 4.039 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.039 * [taylor]: Taking taylor expansion of n in f 4.039 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.039 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.039 * [taylor]: Taking taylor expansion of n in f 4.039 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.039 * [taylor]: Taking taylor expansion of f in f 4.042 * [taylor]: Taking taylor expansion of (pow -1 1/9) in n 4.042 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log -1))) in n 4.042 * [taylor]: Taking taylor expansion of (* 1/9 (log -1)) in n 4.042 * [taylor]: Taking taylor expansion of 1/9 in n 4.042 * [taylor]: Taking taylor expansion of (log -1) in n 4.042 * [taylor]: Taking taylor expansion of -1 in n 4.047 * [taylor]: Taking taylor expansion of (* 2/9 (* (pow -1 1/9) (/ 1 n))) in n 4.047 * [taylor]: Taking taylor expansion of 2/9 in n 4.047 * [taylor]: Taking taylor expansion of (* (pow -1 1/9) (/ 1 n)) in n 4.047 * [taylor]: Taking taylor expansion of (pow -1 1/9) in n 4.047 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log -1))) in n 4.047 * [taylor]: Taking taylor expansion of (* 1/9 (log -1)) in n 4.047 * [taylor]: Taking taylor expansion of 1/9 in n 4.047 * [taylor]: Taking taylor expansion of (log -1) in n 4.047 * [taylor]: Taking taylor expansion of -1 in n 4.049 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.049 * [taylor]: Taking taylor expansion of n in n 4.060 * [taylor]: Taking taylor expansion of (* 2/81 (* (pow -1 1/9) (/ 1 (pow n 2)))) in n 4.060 * [taylor]: Taking taylor expansion of 2/81 in n 4.060 * [taylor]: Taking taylor expansion of (* (pow -1 1/9) (/ 1 (pow n 2))) in n 4.060 * [taylor]: Taking taylor expansion of (pow -1 1/9) in n 4.060 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log -1))) in n 4.060 * [taylor]: Taking taylor expansion of (* 1/9 (log -1)) in n 4.060 * [taylor]: Taking taylor expansion of 1/9 in n 4.060 * [taylor]: Taking taylor expansion of (log -1) in n 4.060 * [taylor]: Taking taylor expansion of -1 in n 4.062 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.062 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.062 * [taylor]: Taking taylor expansion of n in n 4.092 * [taylor]: Taking taylor expansion of (* 166/2187 (* (pow -1 1/9) (/ 1 (pow n 3)))) in n 4.092 * [taylor]: Taking taylor expansion of 166/2187 in n 4.092 * [taylor]: Taking taylor expansion of (* (pow -1 1/9) (/ 1 (pow n 3))) in n 4.092 * [taylor]: Taking taylor expansion of (pow -1 1/9) in n 4.092 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log -1))) in n 4.092 * [taylor]: Taking taylor expansion of (* 1/9 (log -1)) in n 4.092 * [taylor]: Taking taylor expansion of 1/9 in n 4.092 * [taylor]: Taking taylor expansion of (log -1) in n 4.092 * [taylor]: Taking taylor expansion of -1 in n 4.093 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.093 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.093 * [taylor]: Taking taylor expansion of n in n 4.111 * * * [progress]: simplifying candidates 4.118 * [simplify]: Simplifying using 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(cbrt (/ (- f n) (+ f n))))) (cbrt (/ (cbrt -1) (cbrt (- f n)))) (cbrt (cbrt (+ f n))) (pow (cbrt -1) 1/3) (cbrt (cbrt (/ (- f n) (+ f n)))) (* (cbrt (cbrt (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))))) (cbrt (cbrt (/ (cbrt -1) (cbrt (/ (- f n) (+ f n))))))) (cbrt (cbrt (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (sqrt (cbrt (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))))) (sqrt (cbrt (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))))) (pow -1 1/3) 1 (pow -1 2/3) (pow -1 1/3) 1 (pow -1 2/3) (pow -1 1/3) 1 (pow -1 2/3) (* (pow -1 1/9) (pow (cbrt -1) 1/3)) (pow (cbrt -1) 1/3) (pow -1 1/9) 4.256 * * * [progress]: adding candidates to table 5.580 * [progress]: [Phase 3 of 3] Extracting. 5.581 * * [regime]: Finding splitpoints for: (# # #) 5.583 * * * [regime-changes]: Trying 2 branch expressions: (n f) 5.584 * * * * [regimes]: Trying to branch on n from (# # #) 5.606 * * * * [regimes]: Trying to branch on f from (# # #) 5.621 * * * [regime]: Found split indices: #