0.882 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.258 * * * [progress]: [2/2] Setting up program. 0.261 * [progress]: [Phase 2 of 3] Improving. 0.263 * [simplify]: Simplifying using # : (/ (- (+ f n)) (- f n)) 0.269 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.270 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.272 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.273 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.274 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.276 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.277 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.277 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.279 * * [progress]: iteration 1 / 4 0.279 * * * [progress]: picking best candidate 0.281 * * * * [pick]: Picked # 0.281 * * * [progress]: localizing error 0.288 * * * [progress]: generating rewritten candidates 0.288 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.306 * * * [progress]: generating series expansions 0.306 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.310 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.311 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.311 * [taylor]: Taking taylor expansion of -1 in n 0.311 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.311 * [taylor]: Taking taylor expansion of (+ n f) in n 0.311 * [taylor]: Taking taylor expansion of n in n 0.311 * [taylor]: Taking taylor expansion of f in n 0.311 * [taylor]: Taking taylor expansion of (- f n) in n 0.311 * [taylor]: Taking taylor expansion of f in n 0.311 * [taylor]: Taking taylor expansion of n in n 0.312 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.312 * [taylor]: Taking taylor expansion of -1 in f 0.312 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.312 * [taylor]: Taking taylor expansion of (+ n f) in f 0.312 * [taylor]: Taking taylor expansion of n in f 0.312 * [taylor]: Taking taylor expansion of f in f 0.312 * [taylor]: Taking taylor expansion of (- f n) in f 0.312 * [taylor]: Taking taylor expansion of f in f 0.312 * [taylor]: Taking taylor expansion of n in f 0.312 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.313 * [taylor]: Taking taylor expansion of -1 in f 0.313 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.313 * [taylor]: Taking taylor expansion of (+ n f) in f 0.313 * [taylor]: Taking taylor expansion of n in f 0.313 * [taylor]: Taking taylor expansion of f in f 0.313 * [taylor]: Taking taylor expansion of (- f n) in f 0.313 * [taylor]: Taking taylor expansion of f in f 0.313 * [taylor]: Taking taylor expansion of n in f 0.314 * [taylor]: Taking taylor expansion of 1 in n 0.315 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.315 * [taylor]: Taking taylor expansion of 2 in n 0.315 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.315 * [taylor]: Taking taylor expansion of n in n 0.319 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.319 * [taylor]: Taking taylor expansion of 2 in n 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.319 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.319 * [taylor]: Taking taylor expansion of n in n 0.325 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.325 * [taylor]: Taking taylor expansion of 2 in n 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.326 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.326 * [taylor]: Taking taylor expansion of n in n 0.331 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.332 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.332 * [taylor]: Taking taylor expansion of -1 in n 0.332 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.332 * [taylor]: Taking taylor expansion of f in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.332 * [taylor]: Taking taylor expansion of f in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.334 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.334 * [taylor]: Taking taylor expansion of -1 in f 0.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.334 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.334 * [taylor]: Taking taylor expansion of f in f 0.334 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.334 * [taylor]: Taking taylor expansion of n in f 0.334 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.334 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.334 * [taylor]: Taking taylor expansion of f in f 0.334 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.335 * [taylor]: Taking taylor expansion of n in f 0.335 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.335 * [taylor]: Taking taylor expansion of -1 in f 0.335 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.335 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.335 * [taylor]: Taking taylor expansion of f in f 0.336 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.336 * [taylor]: Taking taylor expansion of n in f 0.336 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.336 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.336 * [taylor]: Taking taylor expansion of f in f 0.336 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.336 * [taylor]: Taking taylor expansion of n in f 0.337 * [taylor]: Taking taylor expansion of -1 in n 0.339 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.339 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.339 * [taylor]: Taking taylor expansion of 2 in n 0.339 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.339 * [taylor]: Taking taylor expansion of n in n 0.343 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.343 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.343 * [taylor]: Taking taylor expansion of 2 in n 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.343 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.343 * [taylor]: Taking taylor expansion of n in n 0.366 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.366 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.366 * [taylor]: Taking taylor expansion of 2 in n 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.366 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.366 * [taylor]: Taking taylor expansion of n in n 0.372 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.372 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.372 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.372 * [taylor]: Taking taylor expansion of f in n 0.372 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.372 * [taylor]: Taking taylor expansion of n in n 0.372 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.372 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.372 * [taylor]: Taking taylor expansion of n in n 0.373 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.373 * [taylor]: Taking taylor expansion of f in n 0.374 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.374 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.374 * [taylor]: Taking taylor expansion of f in f 0.374 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.374 * [taylor]: Taking taylor expansion of n in f 0.374 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.374 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.374 * [taylor]: Taking taylor expansion of n in f 0.374 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.374 * [taylor]: Taking taylor expansion of f in f 0.375 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.375 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.375 * [taylor]: Taking taylor expansion of f in f 0.376 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.376 * [taylor]: Taking taylor expansion of n in f 0.376 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.376 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.376 * [taylor]: Taking taylor expansion of n in f 0.376 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.376 * [taylor]: Taking taylor expansion of f in f 0.377 * [taylor]: Taking taylor expansion of -1 in n 0.379 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.379 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.379 * [taylor]: Taking taylor expansion of 2 in n 0.379 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.379 * [taylor]: Taking taylor expansion of n in n 0.383 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.383 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.383 * [taylor]: Taking taylor expansion of 2 in n 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.383 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.383 * [taylor]: Taking taylor expansion of n in n 0.390 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.391 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.391 * [taylor]: Taking taylor expansion of 2 in n 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.391 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.391 * [taylor]: Taking taylor expansion of n in n 0.396 * * * [progress]: simplifying candidates 0.398 * [simplify]: Simplifying using # : (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.404 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.408 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.422 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 0.461 * * [simplify]: iteration 3 : 5001 enodes (cost 743 ) 0.465 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ f n) (- n f) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (fma f f (- (* n n) (* f n))) (- f n)) (* (- f n) (- f n)) 1 -1 -1 0.466 * * * [progress]: adding candidates to table 0.602 * * [progress]: iteration 2 / 4 0.602 * * * [progress]: picking best candidate 0.605 * * * * [pick]: Picked # 0.605 * * * [progress]: localizing error 0.611 * * * [progress]: generating rewritten candidates 0.611 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.620 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.643 * * * [progress]: generating series expansions 0.643 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.643 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 0.643 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 0.643 * [taylor]: Taking taylor expansion of (- f n) in n 0.643 * [taylor]: Taking taylor expansion of f in n 0.643 * [taylor]: Taking taylor expansion of n in n 0.643 * [taylor]: Taking taylor expansion of (+ n f) in n 0.643 * [taylor]: Taking taylor expansion of n in n 0.643 * [taylor]: Taking taylor expansion of f in n 0.644 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.644 * [taylor]: Taking taylor expansion of (- f n) in f 0.644 * [taylor]: Taking taylor expansion of f in f 0.644 * [taylor]: Taking taylor expansion of n in f 0.644 * [taylor]: Taking taylor expansion of (+ n f) in f 0.644 * [taylor]: Taking taylor expansion of n in f 0.644 * [taylor]: Taking taylor expansion of f in f 0.644 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.644 * [taylor]: Taking taylor expansion of (- f n) in f 0.644 * [taylor]: Taking taylor expansion of f in f 0.644 * [taylor]: Taking taylor expansion of n in f 0.644 * [taylor]: Taking taylor expansion of (+ n f) in f 0.644 * [taylor]: Taking taylor expansion of n in f 0.644 * [taylor]: Taking taylor expansion of f in f 0.644 * [taylor]: Taking taylor expansion of -1 in n 0.645 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.645 * [taylor]: Taking taylor expansion of 2 in n 0.645 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.645 * [taylor]: Taking taylor expansion of n in n 0.647 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.647 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.648 * [taylor]: Taking taylor expansion of 2 in n 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.648 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.648 * [taylor]: Taking taylor expansion of n in n 0.653 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.653 * [taylor]: Taking taylor expansion of 2 in n 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.653 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.653 * [taylor]: Taking taylor expansion of n in n 0.658 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 0.659 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 0.659 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.659 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.659 * [taylor]: Taking taylor expansion of f in n 0.659 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.659 * [taylor]: Taking taylor expansion of n in n 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.659 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.659 * [taylor]: Taking taylor expansion of f in n 0.659 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.659 * [taylor]: Taking taylor expansion of n in n 0.660 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.660 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.660 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.660 * [taylor]: Taking taylor expansion of f in f 0.661 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.661 * [taylor]: Taking taylor expansion of n in f 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.661 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.661 * [taylor]: Taking taylor expansion of f in f 0.661 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.661 * [taylor]: Taking taylor expansion of n in f 0.662 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.662 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.662 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.662 * [taylor]: Taking taylor expansion of f in f 0.662 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.662 * [taylor]: Taking taylor expansion of n in f 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.662 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.662 * [taylor]: Taking taylor expansion of f in f 0.663 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.663 * [taylor]: Taking taylor expansion of n in f 0.664 * [taylor]: Taking taylor expansion of 1 in n 0.665 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.665 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.665 * [taylor]: Taking taylor expansion of 2 in n 0.665 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.665 * [taylor]: Taking taylor expansion of n in n 0.668 * [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 0.676 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.676 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.676 * [taylor]: Taking taylor expansion of 2 in n 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.676 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.676 * [taylor]: Taking taylor expansion of n in n 0.682 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 0.682 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 0.682 * [taylor]: Taking taylor expansion of -1 in n 0.682 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 0.682 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.682 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.682 * [taylor]: Taking taylor expansion of n in n 0.682 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.682 * [taylor]: Taking taylor expansion of f in n 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.682 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.682 * [taylor]: Taking taylor expansion of f in n 0.682 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.682 * [taylor]: Taking taylor expansion of n in n 0.683 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.683 * [taylor]: Taking taylor expansion of -1 in f 0.683 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.683 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.683 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.683 * [taylor]: Taking taylor expansion of n in f 0.683 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.683 * [taylor]: Taking taylor expansion of f in f 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.684 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.684 * [taylor]: Taking taylor expansion of f in f 0.684 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.684 * [taylor]: Taking taylor expansion of n in f 0.685 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.685 * [taylor]: Taking taylor expansion of -1 in f 0.685 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.685 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.685 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.685 * [taylor]: Taking taylor expansion of n in f 0.685 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.685 * [taylor]: Taking taylor expansion of f in f 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.686 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.686 * [taylor]: Taking taylor expansion of f in f 0.686 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.686 * [taylor]: Taking taylor expansion of n in f 0.687 * [taylor]: Taking taylor expansion of 1 in n 0.689 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.689 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.689 * [taylor]: Taking taylor expansion of 2 in n 0.689 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.689 * [taylor]: Taking taylor expansion of n in n 0.693 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.693 * [taylor]: Taking taylor expansion of 2 in n 0.693 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.693 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.693 * [taylor]: Taking taylor expansion of n in n 0.701 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.701 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.701 * [taylor]: Taking taylor expansion of 2 in n 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.701 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.701 * [taylor]: Taking taylor expansion of n in n 0.710 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.711 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.711 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.711 * [taylor]: Taking taylor expansion of -1 in n 0.711 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.711 * [taylor]: Taking taylor expansion of (+ n f) in n 0.711 * [taylor]: Taking taylor expansion of n in n 0.711 * [taylor]: Taking taylor expansion of f in n 0.711 * [taylor]: Taking taylor expansion of (- f n) in n 0.711 * [taylor]: Taking taylor expansion of f in n 0.711 * [taylor]: Taking taylor expansion of n in n 0.711 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.711 * [taylor]: Taking taylor expansion of -1 in f 0.711 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.711 * [taylor]: Taking taylor expansion of (+ n f) in f 0.711 * [taylor]: Taking taylor expansion of n in f 0.711 * [taylor]: Taking taylor expansion of f in f 0.711 * [taylor]: Taking taylor expansion of (- f n) in f 0.711 * [taylor]: Taking taylor expansion of f in f 0.711 * [taylor]: Taking taylor expansion of n in f 0.711 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.711 * [taylor]: Taking taylor expansion of -1 in f 0.711 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.711 * [taylor]: Taking taylor expansion of (+ n f) in f 0.711 * [taylor]: Taking taylor expansion of n in f 0.711 * [taylor]: Taking taylor expansion of f in f 0.711 * [taylor]: Taking taylor expansion of (- f n) in f 0.712 * [taylor]: Taking taylor expansion of f in f 0.712 * [taylor]: Taking taylor expansion of n in f 0.712 * [taylor]: Taking taylor expansion of 1 in n 0.713 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.713 * [taylor]: Taking taylor expansion of 2 in n 0.713 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.713 * [taylor]: Taking taylor expansion of n in n 0.716 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.716 * [taylor]: Taking taylor expansion of 2 in n 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.716 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.716 * [taylor]: Taking taylor expansion of n in n 0.722 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.722 * [taylor]: Taking taylor expansion of 2 in n 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.722 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.722 * [taylor]: Taking taylor expansion of n in n 0.727 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.728 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.728 * [taylor]: Taking taylor expansion of -1 in n 0.728 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.728 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.728 * [taylor]: Taking taylor expansion of f in n 0.728 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.728 * [taylor]: Taking taylor expansion of n in n 0.728 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.728 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.728 * [taylor]: Taking taylor expansion of f in n 0.728 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.728 * [taylor]: Taking taylor expansion of n in n 0.729 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.729 * [taylor]: Taking taylor expansion of -1 in f 0.729 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.729 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.729 * [taylor]: Taking taylor expansion of f in f 0.730 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.730 * [taylor]: Taking taylor expansion of n in f 0.730 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.730 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.730 * [taylor]: Taking taylor expansion of f in f 0.730 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.730 * [taylor]: Taking taylor expansion of n in f 0.731 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.731 * [taylor]: Taking taylor expansion of -1 in f 0.731 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.731 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.731 * [taylor]: Taking taylor expansion of f in f 0.731 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.731 * [taylor]: Taking taylor expansion of n in f 0.731 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.731 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.731 * [taylor]: Taking taylor expansion of f in f 0.731 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.732 * [taylor]: Taking taylor expansion of n in f 0.733 * [taylor]: Taking taylor expansion of -1 in n 0.734 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.734 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.734 * [taylor]: Taking taylor expansion of 2 in n 0.734 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.734 * [taylor]: Taking taylor expansion of n in n 0.738 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.738 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.738 * [taylor]: Taking taylor expansion of 2 in n 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.738 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.738 * [taylor]: Taking taylor expansion of n in n 0.746 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.746 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.746 * [taylor]: Taking taylor expansion of 2 in n 0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.746 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.746 * [taylor]: Taking taylor expansion of n in n 0.752 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.752 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.752 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.752 * [taylor]: Taking taylor expansion of f in n 0.752 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.752 * [taylor]: Taking taylor expansion of n in n 0.752 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.752 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.752 * [taylor]: Taking taylor expansion of n in n 0.753 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.753 * [taylor]: Taking taylor expansion of f in n 0.754 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.754 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.754 * [taylor]: Taking taylor expansion of f in f 0.754 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.754 * [taylor]: Taking taylor expansion of n in f 0.754 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.754 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.754 * [taylor]: Taking taylor expansion of n in f 0.754 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.754 * [taylor]: Taking taylor expansion of f in f 0.755 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.755 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.755 * [taylor]: Taking taylor expansion of f in f 0.756 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.756 * [taylor]: Taking taylor expansion of n in f 0.756 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.756 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.756 * [taylor]: Taking taylor expansion of n in f 0.756 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.756 * [taylor]: Taking taylor expansion of f in f 0.757 * [taylor]: Taking taylor expansion of -1 in n 0.758 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.758 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.758 * [taylor]: Taking taylor expansion of 2 in n 0.758 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.758 * [taylor]: Taking taylor expansion of n in n 0.762 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.762 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.762 * [taylor]: Taking taylor expansion of 2 in n 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.762 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.762 * [taylor]: Taking taylor expansion of n in n 0.770 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.770 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.770 * [taylor]: Taking taylor expansion of 2 in n 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.770 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.770 * [taylor]: Taking taylor expansion of n in n 0.776 * * * [progress]: simplifying candidates 0.778 * [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 0.789 * * [simplify]: iteration 0 : 531 enodes (cost 1471 ) 0.799 * * [simplify]: iteration 1 : 2334 enodes (cost 1420 ) 0.834 * * [simplify]: iteration 2 : 5001 enodes (cost 1299 ) 0.842 * [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))) (- n f) (* -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)) (/ (+ 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 0.844 * * * [progress]: adding candidates to table 1.043 * * [progress]: iteration 3 / 4 1.043 * * * [progress]: picking best candidate 1.047 * * * * [pick]: Picked # 1.047 * * * [progress]: localizing error 1.056 * * * [progress]: generating rewritten candidates 1.056 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.059 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.062 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.065 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.078 * * * [progress]: generating series expansions 1.078 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.078 * [approximate]: Taking taylor expansion of (pow (+ n f) 1/3) in (f n) around 0 1.078 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in n 1.078 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n 1.078 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in n 1.078 * [taylor]: Taking taylor expansion of 1/3 in n 1.078 * [taylor]: Taking taylor expansion of (log (+ n f)) in n 1.078 * [taylor]: Taking taylor expansion of (+ n f) in n 1.078 * [taylor]: Taking taylor expansion of n in n 1.078 * [taylor]: Taking taylor expansion of f in n 1.079 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in f 1.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f 1.079 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in f 1.079 * [taylor]: Taking taylor expansion of 1/3 in f 1.079 * [taylor]: Taking taylor expansion of (log (+ n f)) in f 1.079 * [taylor]: Taking taylor expansion of (+ n f) in f 1.079 * [taylor]: Taking taylor expansion of n in f 1.079 * [taylor]: Taking taylor expansion of f in f 1.079 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in f 1.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f 1.079 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in f 1.079 * [taylor]: Taking taylor expansion of 1/3 in f 1.079 * [taylor]: Taking taylor expansion of (log (+ n f)) in f 1.079 * [taylor]: Taking taylor expansion of (+ n f) in f 1.079 * [taylor]: Taking taylor expansion of n in f 1.079 * [taylor]: Taking taylor expansion of f in f 1.079 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 1.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 1.079 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 1.079 * [taylor]: Taking taylor expansion of 1/3 in n 1.079 * [taylor]: Taking taylor expansion of (log n) in n 1.079 * [taylor]: Taking taylor expansion of n in n 1.082 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) in n 1.082 * [taylor]: Taking taylor expansion of 1/3 in n 1.082 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in n 1.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n 1.082 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n 1.082 * [taylor]: Taking taylor expansion of 1/3 in n 1.082 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 2))) in n 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.082 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.082 * [taylor]: Taking taylor expansion of n in n 1.088 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) in n 1.088 * [taylor]: Taking taylor expansion of -1/9 in n 1.088 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 5)) 1/3) in n 1.088 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 5))))) in n 1.088 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 5)))) in n 1.088 * [taylor]: Taking taylor expansion of 1/3 in n 1.088 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 5))) in n 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n 1.088 * [taylor]: Taking taylor expansion of (pow n 5) in n 1.088 * [taylor]: Taking taylor expansion of n in n 1.091 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in (f n) around 0 1.091 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 1.091 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n 1.091 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in n 1.091 * [taylor]: Taking taylor expansion of 1/3 in n 1.091 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in n 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.091 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.091 * [taylor]: Taking taylor expansion of f in n 1.091 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.091 * [taylor]: Taking taylor expansion of n in n 1.092 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 1.092 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 1.092 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 1.092 * [taylor]: Taking taylor expansion of 1/3 in f 1.092 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 1.092 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.092 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.092 * [taylor]: Taking taylor expansion of f in f 1.092 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.092 * [taylor]: Taking taylor expansion of n in f 1.093 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 1.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 1.093 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 1.093 * [taylor]: Taking taylor expansion of 1/3 in f 1.093 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 1.093 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.093 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.093 * [taylor]: Taking taylor expansion of f in f 1.094 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.094 * [taylor]: Taking taylor expansion of n in f 1.095 * [taylor]: Taking taylor expansion of (pow f -1/3) in n 1.095 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log f))) in n 1.095 * [taylor]: Taking taylor expansion of (* -1/3 (log f)) in n 1.095 * [taylor]: Taking taylor expansion of -1/3 in n 1.095 * [taylor]: Taking taylor expansion of (log f) in n 1.095 * [taylor]: Taking taylor expansion of f in n 1.096 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) in n 1.096 * [taylor]: Taking taylor expansion of 1/3 in n 1.096 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 f) 1/3)) in n 1.096 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.096 * [taylor]: Taking taylor expansion of n in n 1.097 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.097 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.097 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.097 * [taylor]: Taking taylor expansion of 1/3 in n 1.097 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.097 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.097 * [taylor]: Taking taylor expansion of f in n 1.103 * [taylor]: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) in n 1.103 * [taylor]: Taking taylor expansion of -1/9 in n 1.104 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)) in n 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.104 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.104 * [taylor]: Taking taylor expansion of n in n 1.104 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.104 * [taylor]: Taking taylor expansion of 1/3 in n 1.104 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.104 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.104 * [taylor]: Taking taylor expansion of f in n 1.126 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) in n 1.126 * [taylor]: Taking taylor expansion of 5/81 in n 1.126 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)) in n 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.126 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.126 * [taylor]: Taking taylor expansion of n in n 1.127 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.127 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.127 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.127 * [taylor]: Taking taylor expansion of 1/3 in n 1.127 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.127 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.127 * [taylor]: Taking taylor expansion of f in n 1.142 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in (f n) around 0 1.142 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 1.142 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.142 * [taylor]: Taking taylor expansion of -1 in n 1.143 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 1.143 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n 1.143 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in n 1.143 * [taylor]: Taking taylor expansion of 1/3 in n 1.143 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in n 1.143 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.143 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.143 * [taylor]: Taking taylor expansion of f in n 1.143 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.143 * [taylor]: Taking taylor expansion of n in n 1.144 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in f 1.144 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.144 * [taylor]: Taking taylor expansion of -1 in f 1.145 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 1.145 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 1.145 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 1.145 * [taylor]: Taking taylor expansion of 1/3 in f 1.145 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 1.145 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.145 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.145 * [taylor]: Taking taylor expansion of f in f 1.145 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.145 * [taylor]: Taking taylor expansion of n in f 1.146 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in f 1.146 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.146 * [taylor]: Taking taylor expansion of -1 in f 1.147 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 1.147 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 1.147 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 1.147 * [taylor]: Taking taylor expansion of 1/3 in f 1.147 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.147 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.147 * [taylor]: Taking taylor expansion of f in f 1.147 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.147 * [taylor]: Taking taylor expansion of n in f 1.149 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 f) 1/3)) in n 1.149 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.149 * [taylor]: Taking taylor expansion of -1 in n 1.149 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.149 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.149 * [taylor]: Taking taylor expansion of 1/3 in n 1.149 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.149 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.150 * [taylor]: Taking taylor expansion of f in n 1.152 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3))) in n 1.152 * [taylor]: Taking taylor expansion of 1/3 in n 1.152 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3)) in n 1.153 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 1.153 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.153 * [taylor]: Taking taylor expansion of -1 in n 1.153 * [taylor]: Taking taylor expansion of n in n 1.154 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.154 * [taylor]: Taking taylor expansion of 1/3 in n 1.154 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.154 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.154 * [taylor]: Taking taylor expansion of f in n 1.164 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)))) in n 1.164 * [taylor]: Taking taylor expansion of (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3))) in n 1.164 * [taylor]: Taking taylor expansion of 1/9 in n 1.164 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)) in n 1.164 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 1.164 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.164 * [taylor]: Taking taylor expansion of -1 in n 1.165 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.165 * [taylor]: Taking taylor expansion of n in n 1.165 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.166 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.166 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.166 * [taylor]: Taking taylor expansion of 1/3 in n 1.166 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.166 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.166 * [taylor]: Taking taylor expansion of f in n 1.190 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3))) in n 1.190 * [taylor]: Taking taylor expansion of 5/81 in n 1.190 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3)) in n 1.190 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 1.190 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.190 * [taylor]: Taking taylor expansion of -1 in n 1.191 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.191 * [taylor]: Taking taylor expansion of n in n 1.192 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.192 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.192 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.192 * [taylor]: Taking taylor expansion of 1/3 in n 1.192 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.192 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.192 * [taylor]: Taking taylor expansion of f in n 1.212 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.212 * [approximate]: Taking taylor expansion of (pow (+ n f) 1/3) in (f n) around 0 1.212 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in n 1.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n 1.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in n 1.212 * [taylor]: Taking taylor expansion of 1/3 in n 1.212 * [taylor]: Taking taylor expansion of (log (+ n f)) in n 1.212 * [taylor]: Taking taylor expansion of (+ n f) in n 1.212 * [taylor]: Taking taylor expansion of n in n 1.212 * [taylor]: Taking taylor expansion of f in n 1.212 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in f 1.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f 1.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in f 1.212 * [taylor]: Taking taylor expansion of 1/3 in f 1.212 * [taylor]: Taking taylor expansion of (log (+ n f)) in f 1.212 * [taylor]: Taking taylor expansion of (+ n f) in f 1.213 * [taylor]: Taking taylor expansion of n in f 1.213 * [taylor]: Taking taylor expansion of f in f 1.213 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in f 1.213 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f 1.213 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in f 1.213 * [taylor]: Taking taylor expansion of 1/3 in f 1.213 * [taylor]: Taking taylor expansion of (log (+ n f)) in f 1.213 * [taylor]: Taking taylor expansion of (+ n f) in f 1.213 * [taylor]: Taking taylor expansion of n in f 1.213 * [taylor]: Taking taylor expansion of f in f 1.213 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 1.213 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 1.213 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 1.213 * [taylor]: Taking taylor expansion of 1/3 in n 1.213 * [taylor]: Taking taylor expansion of (log n) in n 1.213 * [taylor]: Taking taylor expansion of n in n 1.215 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) in n 1.215 * [taylor]: Taking taylor expansion of 1/3 in n 1.215 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in n 1.215 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n 1.215 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n 1.215 * [taylor]: Taking taylor expansion of 1/3 in n 1.215 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 2))) in n 1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.215 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.215 * [taylor]: Taking taylor expansion of n in n 1.219 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) in n 1.220 * [taylor]: Taking taylor expansion of -1/9 in n 1.220 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 5)) 1/3) in n 1.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 5))))) in n 1.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 5)))) in n 1.220 * [taylor]: Taking taylor expansion of 1/3 in n 1.220 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 5))) in n 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n 1.220 * [taylor]: Taking taylor expansion of (pow n 5) in n 1.220 * [taylor]: Taking taylor expansion of n in n 1.222 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in (f n) around 0 1.222 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 1.222 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n 1.222 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in n 1.222 * [taylor]: Taking taylor expansion of 1/3 in n 1.222 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in n 1.222 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.222 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.222 * [taylor]: Taking taylor expansion of f in n 1.222 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.222 * [taylor]: Taking taylor expansion of n in n 1.223 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 1.223 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 1.223 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 1.223 * [taylor]: Taking taylor expansion of 1/3 in f 1.223 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 1.223 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.223 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.223 * [taylor]: Taking taylor expansion of f in f 1.224 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.224 * [taylor]: Taking taylor expansion of n in f 1.224 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 1.225 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 1.225 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 1.225 * [taylor]: Taking taylor expansion of 1/3 in f 1.225 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 1.225 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.225 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.225 * [taylor]: Taking taylor expansion of f in f 1.225 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.225 * [taylor]: Taking taylor expansion of n in f 1.226 * [taylor]: Taking taylor expansion of (pow f -1/3) in n 1.226 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log f))) in n 1.226 * [taylor]: Taking taylor expansion of (* -1/3 (log f)) in n 1.226 * [taylor]: Taking taylor expansion of -1/3 in n 1.226 * [taylor]: Taking taylor expansion of (log f) in n 1.226 * [taylor]: Taking taylor expansion of f in n 1.227 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) in n 1.227 * [taylor]: Taking taylor expansion of 1/3 in n 1.227 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 f) 1/3)) in n 1.228 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.228 * [taylor]: Taking taylor expansion of n in n 1.228 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.228 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.228 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.228 * [taylor]: Taking taylor expansion of 1/3 in n 1.228 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.228 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.228 * [taylor]: Taking taylor expansion of f in n 1.234 * [taylor]: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) in n 1.234 * [taylor]: Taking taylor expansion of -1/9 in n 1.234 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)) in n 1.235 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.235 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.235 * [taylor]: Taking taylor expansion of n in n 1.235 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.235 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.235 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.235 * [taylor]: Taking taylor expansion of 1/3 in n 1.235 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.235 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.235 * [taylor]: Taking taylor expansion of f in n 1.253 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) in n 1.253 * [taylor]: Taking taylor expansion of 5/81 in n 1.253 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)) in n 1.253 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.253 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.253 * [taylor]: Taking taylor expansion of n in n 1.253 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.253 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.253 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.254 * [taylor]: Taking taylor expansion of 1/3 in n 1.254 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.254 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.254 * [taylor]: Taking taylor expansion of f in n 1.268 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in (f n) around 0 1.268 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 1.268 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.268 * [taylor]: Taking taylor expansion of -1 in n 1.269 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 1.269 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n 1.269 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in n 1.269 * [taylor]: Taking taylor expansion of 1/3 in n 1.269 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in n 1.269 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.269 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.269 * [taylor]: Taking taylor expansion of f in n 1.269 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.269 * [taylor]: Taking taylor expansion of n in n 1.270 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in f 1.270 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.270 * [taylor]: Taking taylor expansion of -1 in f 1.271 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 1.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 1.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 1.271 * [taylor]: Taking taylor expansion of 1/3 in f 1.271 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 1.271 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.271 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.271 * [taylor]: Taking taylor expansion of f in f 1.271 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.271 * [taylor]: Taking taylor expansion of n in f 1.272 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in f 1.272 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.272 * [taylor]: Taking taylor expansion of -1 in f 1.273 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 1.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 1.273 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 1.273 * [taylor]: Taking taylor expansion of 1/3 in f 1.273 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 1.273 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.273 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.273 * [taylor]: Taking taylor expansion of f in f 1.273 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.274 * [taylor]: Taking taylor expansion of n in f 1.275 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 f) 1/3)) in n 1.275 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.275 * [taylor]: Taking taylor expansion of -1 in n 1.276 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.276 * [taylor]: Taking taylor expansion of 1/3 in n 1.276 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.276 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.276 * [taylor]: Taking taylor expansion of f in n 1.278 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3))) in n 1.279 * [taylor]: Taking taylor expansion of 1/3 in n 1.279 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3)) in n 1.279 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 1.279 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.279 * [taylor]: Taking taylor expansion of -1 in n 1.279 * [taylor]: Taking taylor expansion of n in n 1.280 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.280 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.280 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.280 * [taylor]: Taking taylor expansion of 1/3 in n 1.280 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.280 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.280 * [taylor]: Taking taylor expansion of f in n 1.290 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)))) in n 1.290 * [taylor]: Taking taylor expansion of (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3))) in n 1.290 * [taylor]: Taking taylor expansion of 1/9 in n 1.290 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)) in n 1.290 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 1.290 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.290 * [taylor]: Taking taylor expansion of -1 in n 1.291 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.291 * [taylor]: Taking taylor expansion of n in n 1.291 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.291 * [taylor]: Taking taylor expansion of 1/3 in n 1.292 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.292 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.292 * [taylor]: Taking taylor expansion of f in n 1.318 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3))) in n 1.318 * [taylor]: Taking taylor expansion of 5/81 in n 1.318 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3)) in n 1.318 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 1.318 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.318 * [taylor]: Taking taylor expansion of -1 in n 1.318 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.318 * [taylor]: Taking taylor expansion of n in n 1.320 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.320 * [taylor]: Taking taylor expansion of 1/3 in n 1.320 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.320 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.320 * [taylor]: Taking taylor expansion of f in n 1.337 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.337 * [approximate]: Taking taylor expansion of (pow (+ n f) 1/3) in (f n) around 0 1.337 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in n 1.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n 1.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in n 1.337 * [taylor]: Taking taylor expansion of 1/3 in n 1.337 * [taylor]: Taking taylor expansion of (log (+ n f)) in n 1.337 * [taylor]: Taking taylor expansion of (+ n f) in n 1.337 * [taylor]: Taking taylor expansion of n in n 1.337 * [taylor]: Taking taylor expansion of f in n 1.337 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in f 1.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f 1.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in f 1.337 * [taylor]: Taking taylor expansion of 1/3 in f 1.337 * [taylor]: Taking taylor expansion of (log (+ n f)) in f 1.337 * [taylor]: Taking taylor expansion of (+ n f) in f 1.337 * [taylor]: Taking taylor expansion of n in f 1.337 * [taylor]: Taking taylor expansion of f in f 1.338 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in f 1.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f 1.338 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in f 1.338 * [taylor]: Taking taylor expansion of 1/3 in f 1.338 * [taylor]: Taking taylor expansion of (log (+ n f)) in f 1.338 * [taylor]: Taking taylor expansion of (+ n f) in f 1.338 * [taylor]: Taking taylor expansion of n in f 1.338 * [taylor]: Taking taylor expansion of f in f 1.338 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 1.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 1.338 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 1.338 * [taylor]: Taking taylor expansion of 1/3 in n 1.338 * [taylor]: Taking taylor expansion of (log n) in n 1.338 * [taylor]: Taking taylor expansion of n in n 1.339 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) in n 1.339 * [taylor]: Taking taylor expansion of 1/3 in n 1.339 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in n 1.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n 1.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n 1.340 * [taylor]: Taking taylor expansion of 1/3 in n 1.340 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 2))) in n 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.340 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.340 * [taylor]: Taking taylor expansion of n in n 1.344 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) in n 1.344 * [taylor]: Taking taylor expansion of -1/9 in n 1.344 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 5)) 1/3) in n 1.344 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 5))))) in n 1.344 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 5)))) in n 1.344 * [taylor]: Taking taylor expansion of 1/3 in n 1.344 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 5))) in n 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n 1.344 * [taylor]: Taking taylor expansion of (pow n 5) in n 1.344 * [taylor]: Taking taylor expansion of n in n 1.347 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in (f n) around 0 1.347 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 1.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n 1.347 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in n 1.347 * [taylor]: Taking taylor expansion of 1/3 in n 1.347 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in n 1.347 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.347 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.347 * [taylor]: Taking taylor expansion of f in n 1.347 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.347 * [taylor]: Taking taylor expansion of n in n 1.348 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 1.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 1.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 1.348 * [taylor]: Taking taylor expansion of 1/3 in f 1.348 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 1.348 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.348 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.348 * [taylor]: Taking taylor expansion of f in f 1.348 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.348 * [taylor]: Taking taylor expansion of n in f 1.349 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 1.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 1.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 1.349 * [taylor]: Taking taylor expansion of 1/3 in f 1.349 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 1.349 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.349 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.349 * [taylor]: Taking taylor expansion of f in f 1.350 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.350 * [taylor]: Taking taylor expansion of n in f 1.351 * [taylor]: Taking taylor expansion of (pow f -1/3) in n 1.351 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log f))) in n 1.351 * [taylor]: Taking taylor expansion of (* -1/3 (log f)) in n 1.351 * [taylor]: Taking taylor expansion of -1/3 in n 1.351 * [taylor]: Taking taylor expansion of (log f) in n 1.351 * [taylor]: Taking taylor expansion of f in n 1.352 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) in n 1.352 * [taylor]: Taking taylor expansion of 1/3 in n 1.352 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 f) 1/3)) in n 1.352 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.352 * [taylor]: Taking taylor expansion of n in n 1.353 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.353 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.353 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.353 * [taylor]: Taking taylor expansion of 1/3 in n 1.353 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.353 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.353 * [taylor]: Taking taylor expansion of f in n 1.359 * [taylor]: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) in n 1.359 * [taylor]: Taking taylor expansion of -1/9 in n 1.359 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)) in n 1.359 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.359 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.359 * [taylor]: Taking taylor expansion of n in n 1.360 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.360 * [taylor]: Taking taylor expansion of 1/3 in n 1.360 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.360 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.360 * [taylor]: Taking taylor expansion of f in n 1.377 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) in n 1.377 * [taylor]: Taking taylor expansion of 5/81 in n 1.377 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)) in n 1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.377 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.377 * [taylor]: Taking taylor expansion of n in n 1.378 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.378 * [taylor]: Taking taylor expansion of 1/3 in n 1.378 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.378 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.378 * [taylor]: Taking taylor expansion of f in n 1.396 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in (f n) around 0 1.396 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 1.396 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.396 * [taylor]: Taking taylor expansion of -1 in n 1.396 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 1.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n 1.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in n 1.396 * [taylor]: Taking taylor expansion of 1/3 in n 1.396 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in n 1.396 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.396 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.396 * [taylor]: Taking taylor expansion of f in n 1.397 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.397 * [taylor]: Taking taylor expansion of n in n 1.398 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in f 1.398 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.398 * [taylor]: Taking taylor expansion of -1 in f 1.399 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 1.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 1.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 1.399 * [taylor]: Taking taylor expansion of 1/3 in f 1.399 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 1.399 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.399 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.399 * [taylor]: Taking taylor expansion of f in f 1.400 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.400 * [taylor]: Taking taylor expansion of n in f 1.401 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in f 1.401 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.401 * [taylor]: Taking taylor expansion of -1 in f 1.402 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 1.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 1.402 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 1.402 * [taylor]: Taking taylor expansion of 1/3 in f 1.402 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 1.402 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.402 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.402 * [taylor]: Taking taylor expansion of f in f 1.402 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.402 * [taylor]: Taking taylor expansion of n in f 1.404 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 f) 1/3)) in n 1.404 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.404 * [taylor]: Taking taylor expansion of -1 in n 1.404 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.404 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.404 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.404 * [taylor]: Taking taylor expansion of 1/3 in n 1.404 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.404 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.404 * [taylor]: Taking taylor expansion of f in n 1.407 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3))) in n 1.407 * [taylor]: Taking taylor expansion of 1/3 in n 1.407 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3)) in n 1.407 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 1.407 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.407 * [taylor]: Taking taylor expansion of -1 in n 1.408 * [taylor]: Taking taylor expansion of n in n 1.409 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.409 * [taylor]: Taking taylor expansion of 1/3 in n 1.409 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.409 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.409 * [taylor]: Taking taylor expansion of f in n 1.418 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)))) in n 1.418 * [taylor]: Taking taylor expansion of (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3))) in n 1.418 * [taylor]: Taking taylor expansion of 1/9 in n 1.418 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)) in n 1.418 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 1.418 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.418 * [taylor]: Taking taylor expansion of -1 in n 1.419 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.419 * [taylor]: Taking taylor expansion of n in n 1.420 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.420 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.420 * [taylor]: Taking taylor expansion of 1/3 in n 1.420 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.420 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.420 * [taylor]: Taking taylor expansion of f in n 1.444 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3))) in n 1.444 * [taylor]: Taking taylor expansion of 5/81 in n 1.444 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3)) in n 1.444 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 1.444 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.444 * [taylor]: Taking taylor expansion of -1 in n 1.445 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.445 * [taylor]: Taking taylor expansion of n in n 1.446 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 1.446 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 1.446 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 1.446 * [taylor]: Taking taylor expansion of 1/3 in n 1.446 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 1.446 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.446 * [taylor]: Taking taylor expansion of f in n 1.463 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.463 * [approximate]: Taking taylor expansion of (pow (pow (+ n f) 2) 1/3) in (f n) around 0 1.463 * [taylor]: Taking taylor expansion of (pow (pow (+ n f) 2) 1/3) in n 1.463 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ n f) 2)))) in n 1.463 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ n f) 2))) in n 1.463 * [taylor]: Taking taylor expansion of 1/3 in n 1.463 * [taylor]: Taking taylor expansion of (log (pow (+ n f) 2)) in n 1.463 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 1.463 * [taylor]: Taking taylor expansion of (+ n f) in n 1.463 * [taylor]: Taking taylor expansion of n in n 1.463 * [taylor]: Taking taylor expansion of f in n 1.464 * [taylor]: Taking taylor expansion of (pow (pow (+ n f) 2) 1/3) in f 1.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ n f) 2)))) in f 1.464 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ n f) 2))) in f 1.464 * [taylor]: Taking taylor expansion of 1/3 in f 1.464 * [taylor]: Taking taylor expansion of (log (pow (+ n f) 2)) in f 1.464 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 1.464 * [taylor]: Taking taylor expansion of (+ n f) in f 1.464 * [taylor]: Taking taylor expansion of n in f 1.464 * [taylor]: Taking taylor expansion of f in f 1.464 * [taylor]: Taking taylor expansion of (pow (pow (+ n f) 2) 1/3) in f 1.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ n f) 2)))) in f 1.464 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ n f) 2))) in f 1.464 * [taylor]: Taking taylor expansion of 1/3 in f 1.464 * [taylor]: Taking taylor expansion of (log (pow (+ n f) 2)) in f 1.464 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 1.464 * [taylor]: Taking taylor expansion of (+ n f) in f 1.464 * [taylor]: Taking taylor expansion of n in f 1.464 * [taylor]: Taking taylor expansion of f in f 1.464 * [taylor]: Taking taylor expansion of (pow (pow n 2) 1/3) in n 1.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow n 2)))) in n 1.465 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow n 2))) in n 1.465 * [taylor]: Taking taylor expansion of 1/3 in n 1.465 * [taylor]: Taking taylor expansion of (log (pow n 2)) in n 1.465 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.465 * [taylor]: Taking taylor expansion of n in n 1.466 * [taylor]: Taking taylor expansion of (* 2/3 (pow (/ 1 n) 1/3)) in n 1.466 * [taylor]: Taking taylor expansion of 2/3 in n 1.466 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 1.466 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 1.466 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 1.466 * [taylor]: Taking taylor expansion of 1/3 in n 1.466 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.466 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.466 * [taylor]: Taking taylor expansion of n in n 1.474 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow n 4)) 1/3)) in n 1.474 * [taylor]: Taking taylor expansion of -1/9 in n 1.474 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 4)) 1/3) in n 1.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 4))))) in n 1.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 4)))) in n 1.474 * [taylor]: Taking taylor expansion of 1/3 in n 1.474 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 4))) in n 1.474 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 1.474 * [taylor]: Taking taylor expansion of (pow n 4) in n 1.474 * [taylor]: Taking taylor expansion of n in n 1.476 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 f) (/ 1 n)) 2) 1/3) in (f n) around 0 1.476 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 f) (/ 1 n)) 2) 1/3) in n 1.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 f) (/ 1 n)) 2)))) in n 1.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 f) (/ 1 n)) 2))) in n 1.476 * [taylor]: Taking taylor expansion of 1/3 in n 1.476 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 f) (/ 1 n)) 2)) in n 1.476 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 1.476 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.476 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.476 * [taylor]: Taking taylor expansion of f in n 1.476 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.476 * [taylor]: Taking taylor expansion of n in n 1.478 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 f) (/ 1 n)) 2) 1/3) in f 1.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 f) (/ 1 n)) 2)))) in f 1.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 f) (/ 1 n)) 2))) in f 1.478 * [taylor]: Taking taylor expansion of 1/3 in f 1.478 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 f) (/ 1 n)) 2)) in f 1.478 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.478 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.478 * [taylor]: Taking taylor expansion of f in f 1.478 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.478 * [taylor]: Taking taylor expansion of n in f 1.479 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 f) (/ 1 n)) 2) 1/3) in f 1.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 f) (/ 1 n)) 2)))) in f 1.479 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 f) (/ 1 n)) 2))) in f 1.479 * [taylor]: Taking taylor expansion of 1/3 in f 1.479 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 f) (/ 1 n)) 2)) in f 1.480 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 1.480 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.480 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.480 * [taylor]: Taking taylor expansion of f in f 1.480 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.480 * [taylor]: Taking taylor expansion of n in f 1.481 * [taylor]: Taking taylor expansion of (pow f -2/3) in n 1.481 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log f))) in n 1.481 * [taylor]: Taking taylor expansion of (* -2/3 (log f)) in n 1.481 * [taylor]: Taking taylor expansion of -2/3 in n 1.481 * [taylor]: Taking taylor expansion of (log f) in n 1.481 * [taylor]: Taking taylor expansion of f in n 1.483 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ 1 n) (pow (/ 1 (pow f 2)) 1/3))) in n 1.483 * [taylor]: Taking taylor expansion of 2/3 in n 1.483 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 (pow f 2)) 1/3)) in n 1.483 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.483 * [taylor]: Taking taylor expansion of n in n 1.483 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow f 2)) 1/3) in n 1.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in n 1.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) in n 1.483 * [taylor]: Taking taylor expansion of 1/3 in n 1.483 * [taylor]: Taking taylor expansion of (log (/ 1 (pow f 2))) in n 1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 1.483 * [taylor]: Taking taylor expansion of (pow f 2) in n 1.483 * [taylor]: Taking taylor expansion of f in n 1.491 * [taylor]: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 1/3))) in n 1.491 * [taylor]: Taking taylor expansion of -1/9 in n 1.491 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 (pow f 2)) 1/3)) in n 1.491 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.491 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.491 * [taylor]: Taking taylor expansion of n in n 1.492 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow f 2)) 1/3) in n 1.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in n 1.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) in n 1.492 * [taylor]: Taking taylor expansion of 1/3 in n 1.492 * [taylor]: Taking taylor expansion of (log (/ 1 (pow f 2))) in n 1.492 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 1.492 * [taylor]: Taking taylor expansion of (pow f 2) in n 1.492 * [taylor]: Taking taylor expansion of f in n 1.512 * [taylor]: Taking taylor expansion of (* 4/81 (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 2)) 1/3))) in n 1.512 * [taylor]: Taking taylor expansion of 4/81 in n 1.512 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 (pow f 2)) 1/3)) in n 1.512 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.512 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.512 * [taylor]: Taking taylor expansion of n in n 1.512 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow f 2)) 1/3) in n 1.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in n 1.513 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) in n 1.513 * [taylor]: Taking taylor expansion of 1/3 in n 1.513 * [taylor]: Taking taylor expansion of (log (/ 1 (pow f 2))) in n 1.513 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 1.513 * [taylor]: Taking taylor expansion of (pow f 2) in n 1.513 * [taylor]: Taking taylor expansion of f in n 1.530 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (pow (+ (/ 1 f) (/ 1 n)) 2) 1/3)) in (f n) around 0 1.530 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (pow (+ (/ 1 f) (/ 1 n)) 2) 1/3)) in n 1.530 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.530 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.530 * [taylor]: Taking taylor expansion of -1 in n 1.530 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 f) (/ 1 n)) 2) 1/3) in n 1.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 f) (/ 1 n)) 2)))) in n 1.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 f) (/ 1 n)) 2))) in n 1.531 * [taylor]: Taking taylor expansion of 1/3 in n 1.531 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 f) (/ 1 n)) 2)) in n 1.531 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) 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 (* (pow (cbrt -1) 2) (pow (pow (+ (/ 1 f) (/ 1 n)) 2) 1/3)) in f 1.532 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 1.532 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.532 * [taylor]: Taking taylor expansion of -1 in f 1.533 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 f) (/ 1 n)) 2) 1/3) in f 1.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 f) (/ 1 n)) 2)))) in f 1.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 f) (/ 1 n)) 2))) in f 1.533 * [taylor]: Taking taylor expansion of 1/3 in f 1.533 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 f) (/ 1 n)) 2)) in f 1.533 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) 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 (* (pow (cbrt -1) 2) (pow (pow (+ (/ 1 f) (/ 1 n)) 2) 1/3)) in f 1.534 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 1.534 * [taylor]: Taking taylor expansion of (cbrt -1) in f 1.534 * [taylor]: Taking taylor expansion of -1 in f 1.535 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 f) (/ 1 n)) 2) 1/3) in f 1.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 f) (/ 1 n)) 2)))) in f 1.535 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 f) (/ 1 n)) 2))) in f 1.535 * [taylor]: Taking taylor expansion of 1/3 in f 1.535 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 f) (/ 1 n)) 2)) in f 1.535 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 1.535 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.535 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.535 * [taylor]: Taking taylor expansion of f in f 1.536 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.536 * [taylor]: Taking taylor expansion of n in f 1.539 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow f 2)) 1/3)) in n 1.539 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.539 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.539 * [taylor]: Taking taylor expansion of -1 in n 1.539 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow f 2)) 1/3) in n 1.539 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in n 1.539 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) in n 1.539 * [taylor]: Taking taylor expansion of 1/3 in n 1.539 * [taylor]: Taking taylor expansion of (log (/ 1 (pow f 2))) in n 1.539 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 1.539 * [taylor]: Taking taylor expansion of (pow f 2) in n 1.539 * [taylor]: Taking taylor expansion of f in n 1.545 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ (pow (cbrt -1) 2) n) (pow (/ 1 (pow f 2)) 1/3))) in n 1.545 * [taylor]: Taking taylor expansion of 2/3 in n 1.545 * [taylor]: Taking taylor expansion of (* (/ (pow (cbrt -1) 2) n) (pow (/ 1 (pow f 2)) 1/3)) in n 1.545 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 1.545 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.545 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.545 * [taylor]: Taking taylor expansion of -1 in n 1.546 * [taylor]: Taking taylor expansion of n in n 1.548 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow f 2)) 1/3) in n 1.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in n 1.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) in n 1.548 * [taylor]: Taking taylor expansion of 1/3 in n 1.548 * [taylor]: Taking taylor expansion of (log (/ 1 (pow f 2))) in n 1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 1.548 * [taylor]: Taking taylor expansion of (pow f 2) in n 1.548 * [taylor]: Taking taylor expansion of f in n 1.565 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (/ (pow (cbrt -1) 2) (pow n 2)) (pow (/ 1 (pow f 2)) 1/3)))) in n 1.565 * [taylor]: Taking taylor expansion of (* 1/9 (* (/ (pow (cbrt -1) 2) (pow n 2)) (pow (/ 1 (pow f 2)) 1/3))) in n 1.565 * [taylor]: Taking taylor expansion of 1/9 in n 1.565 * [taylor]: Taking taylor expansion of (* (/ (pow (cbrt -1) 2) (pow n 2)) (pow (/ 1 (pow f 2)) 1/3)) in n 1.565 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 1.565 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.565 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.565 * [taylor]: Taking taylor expansion of -1 in n 1.566 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.566 * [taylor]: Taking taylor expansion of n in n 1.569 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow f 2)) 1/3) in n 1.569 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in n 1.569 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) in n 1.569 * [taylor]: Taking taylor expansion of 1/3 in n 1.569 * [taylor]: Taking taylor expansion of (log (/ 1 (pow f 2))) in n 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 1.569 * [taylor]: Taking taylor expansion of (pow f 2) in n 1.569 * [taylor]: Taking taylor expansion of f in n 1.601 * [taylor]: Taking taylor expansion of (* 4/81 (* (/ (pow (cbrt -1) 2) (pow n 3)) (pow (/ 1 (pow f 2)) 1/3))) in n 1.601 * [taylor]: Taking taylor expansion of 4/81 in n 1.601 * [taylor]: Taking taylor expansion of (* (/ (pow (cbrt -1) 2) (pow n 3)) (pow (/ 1 (pow f 2)) 1/3)) in n 1.601 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 3)) in n 1.602 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 1.602 * [taylor]: Taking taylor expansion of (cbrt -1) in n 1.602 * [taylor]: Taking taylor expansion of -1 in n 1.602 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.602 * [taylor]: Taking taylor expansion of n in n 1.605 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow f 2)) 1/3) in n 1.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 2))))) in n 1.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 2)))) in n 1.605 * [taylor]: Taking taylor expansion of 1/3 in n 1.605 * [taylor]: Taking taylor expansion of (log (/ 1 (pow f 2))) in n 1.605 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 1.605 * [taylor]: Taking taylor expansion of (pow f 2) in n 1.605 * [taylor]: Taking taylor expansion of f in n 1.628 * * * [progress]: simplifying candidates 1.630 * [simplify]: Simplifying using # : (expm1 (cbrt (+ f n))) (log1p (cbrt (+ f n))) (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt 1) (cbrt (+ f n)) (cbrt 1) (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (* (* (cbrt (+ f n)) (cbrt (+ f n))) (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (expm1 (cbrt (+ f n))) (log1p (cbrt (+ f n))) (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt 1) (cbrt (+ f n)) (cbrt 1) (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (* (* (cbrt (+ f n)) (cbrt (+ f n))) (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (expm1 (cbrt (+ f n))) (log1p (cbrt (+ f n))) (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt 1) (cbrt (+ f n)) (cbrt 1) (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (* (* (cbrt (+ f n)) (cbrt (+ f n))) (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (expm1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (log1p (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ 1/3 1/3) (+ 1 1) (* (+ f n) (+ f n)) (* (cbrt (+ f n)) (cbrt (+ f n))) (+ 1 1) (+ (log (cbrt (+ f n))) (log (cbrt (+ f n)))) (log (* (cbrt (+ f n)) (cbrt (+ f n)))) (exp (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (+ f n) (+ f n)) (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n))))) (cbrt (* (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 (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (pow f 3) (pow n 3)))) (* (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (+ (* f f) (- (* n n) (* f n))))) (* (cbrt (+ (pow f 3) (pow n 3))) (cbrt (- (* f f) (* n n)))) (* (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- f n))) (* (cbrt (- (* f f) (* n n))) (cbrt (+ (pow f 3) (pow n 3)))) (* (cbrt (- f n)) (cbrt (+ (* f f) (- (* n n) (* f n))))) (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n))))) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ f n)) (cbrt (+ f n))) (* (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (* (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n)))) (* (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n)))) (* 1 1) (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (* (cbrt (sqrt (+ f n))) (sqrt (cbrt (+ f n)))) (* (cbrt (sqrt (+ f n))) (sqrt (cbrt (+ f n)))) (* (sqrt (cbrt (+ f n))) (cbrt (sqrt (+ f n)))) (* (sqrt (cbrt (+ f n))) (cbrt (sqrt (+ f n)))) (* (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n)))) (* (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n)))) (* 2 1/3) (* 2 1) (* (cbrt (+ f n)) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n))))) (* (cbrt (+ f n)) (cbrt (sqrt (+ f n)))) (* (cbrt (+ f n)) (cbrt 1)) (* (cbrt (+ f n)) (cbrt 1)) (* (cbrt (+ f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n))))) (* (cbrt (+ f n)) (sqrt (cbrt (+ f n)))) (* (cbrt (+ f n)) 1) (* (cbrt (cbrt (+ f n))) (cbrt (+ f n))) (* (cbrt (sqrt (+ f n))) (cbrt (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (cbrt (+ f n))) (cbrt (+ f n))) (* (sqrt (cbrt (+ f n))) (cbrt (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3)))) (* (cbrt (+ f n)) (cbrt (- (* f f) (* n n)))) (* (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ f n))) (* (cbrt (- (* f f) (* n n))) (cbrt (+ f n))) (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) (pow (/ 1 f) -1/3) (* (pow (* -1 f) 1/3) (cbrt -1)) (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) (pow (/ 1 f) -1/3) (* (pow (* -1 f) 1/3) (cbrt -1)) (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) (pow (/ 1 f) -1/3) (* (pow (* -1 f) 1/3) (cbrt -1)) (- (+ (* 2/3 (* (pow (/ 1 n) 1/3) f)) (pow n 2/3)) (* 1/9 (* (pow (/ 1 (pow n 4)) 1/3) (pow f 2)))) (pow (/ 1 f) -2/3) (* (pow (cbrt -1) 2) (pow (pow f 2) 1/3)) 1.635 * * [simplify]: iteration 0 : 255 enodes (cost 701 ) 1.641 * * [simplify]: iteration 1 : 930 enodes (cost 663 ) 1.663 * * [simplify]: iteration 2 : 4376 enodes (cost 610 ) 1.771 * * [simplify]: iteration 3 : 5001 enodes (cost 606 ) 1.776 * [simplify]: Simplified to: (expm1 (cbrt (+ f n))) (log1p (cbrt (+ f n))) (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) 1 (cbrt (+ f n)) 1 (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (+ f n) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (expm1 (cbrt (+ f n))) (log1p (cbrt (+ f n))) (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) 1 (cbrt (+ f n)) 1 (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (+ f n) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (expm1 (cbrt (+ f n))) (log1p (cbrt (+ f n))) (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) 1 (cbrt (+ f n)) 1 (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (+ f n) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (expm1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (log1p (* (cbrt (+ f n)) (cbrt (+ f n)))) 2/3 2 (pow (cbrt (+ f n)) 6) (pow (sqrt (cbrt (+ f n))) 4) 2 (* 2 (log (cbrt (+ f n)))) (* 2 (log (cbrt (+ f n)))) (exp (* (cbrt (+ f n)) (cbrt (+ f n)))) (pow (cbrt (+ f n)) 6) (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n))))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (pow (cbrt (+ f n)) 6) (fabs (cbrt (+ f n))) (fabs (cbrt (+ f n))) (* (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (pow f 3) (pow n 3)))) (* (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (+ (* f f) (- (* n n) (* f n))))) (* (cbrt (+ (pow f 3) (pow n 3))) (cbrt (- (* f f) (* n n)))) (* (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- f n))) (* (cbrt (+ (pow f 3) (pow n 3))) (cbrt (- (* f f) (* n n)))) (* (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- f n))) (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n))))) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) 1 (pow (sqrt (cbrt (+ f n))) 4) 1 (pow (sqrt (cbrt (+ f n))) 4) 1 (pow (sqrt (cbrt (+ f n))) 4) 1 (pow (sqrt (cbrt (+ f n))) 4) (pow (cbrt (cbrt (+ f n))) 4) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (+ f n)) (cbrt (+ f n)) 1 (pow (sqrt (cbrt (+ f n))) 4) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (* (cbrt (sqrt (+ f n))) (sqrt (cbrt (+ f n)))) (* (cbrt (sqrt (+ f n))) (sqrt (cbrt (+ f n)))) (* (cbrt (sqrt (+ f n))) (sqrt (cbrt (+ f n)))) (* (cbrt (sqrt (+ f n))) (sqrt (cbrt (+ f n)))) (cbrt (+ f n)) (cbrt (+ f n)) 2/3 2 (* (cbrt (+ f n)) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n))))) (* (cbrt (+ f n)) (cbrt (sqrt (+ f n)))) (cbrt (+ f n)) (cbrt (+ f n)) (* (pow (cbrt (cbrt (+ f n))) 4) (cbrt (cbrt (+ f n)))) (pow (sqrt (cbrt (+ f n))) 3) (cbrt (+ f n)) (pow (cbrt (cbrt (+ f n))) 4) (* (cbrt (+ f n)) (cbrt (sqrt (+ f n)))) (pow (sqrt (cbrt (+ f n))) 4) (pow (sqrt (cbrt (+ f n))) 4) (pow (cbrt (cbrt (+ f n))) 4) (pow (sqrt (cbrt (+ f n))) 3) (pow (sqrt (cbrt (+ f n))) 4) (* (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3)))) (* (cbrt (+ f n)) (cbrt (- (* f f) (* n n)))) (* (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3)))) (* (cbrt (+ f n)) (cbrt (- (* f f) (* n n)))) (fma f (- (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* (* 1/9 (pow (/ 1 (pow n 5)) 1/3)) f)) (pow n 1/3)) (pow (/ 1 f) -1/3) (* (pow (* -1 f) 1/3) (cbrt -1)) (fma f (- (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* (* 1/9 (pow (/ 1 (pow n 5)) 1/3)) f)) (pow n 1/3)) (pow (/ 1 f) -1/3) (* (pow (* -1 f) 1/3) (cbrt -1)) (fma f (- (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* (* 1/9 (pow (/ 1 (pow n 5)) 1/3)) f)) (pow n 1/3)) (pow (/ 1 f) -1/3) (* (pow (* -1 f) 1/3) (cbrt -1)) (fma f (- (* 2/3 (pow (/ 1 n) 1/3)) (* (* 1/9 (pow (/ 1 (pow n 4)) 1/3)) f)) (pow n 2/3)) (pow (/ 1 f) -2/3) (* (pow (cbrt -1) 2) (pow (pow f 2) 1/3)) 1.776 * * * [progress]: adding candidates to table 1.999 * * [progress]: iteration 4 / 4 2.000 * * * [progress]: picking best candidate 2.001 * * * * [pick]: Picked # 2.001 * * * [progress]: localizing error 2.009 * * * [progress]: generating rewritten candidates 2.009 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 2.018 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 2.027 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.159 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.232 * * * [progress]: generating series expansions 2.232 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 2.232 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 2.232 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 2.232 * [taylor]: Taking taylor expansion of (- f n) in n 2.232 * [taylor]: Taking taylor expansion of f in n 2.232 * [taylor]: Taking taylor expansion of n in n 2.232 * [taylor]: Taking taylor expansion of (+ n f) in n 2.232 * [taylor]: Taking taylor expansion of n in n 2.233 * [taylor]: Taking taylor expansion of f in n 2.233 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 2.233 * [taylor]: Taking taylor expansion of (- f n) in f 2.233 * [taylor]: Taking taylor expansion of f in f 2.233 * [taylor]: Taking taylor expansion of n in f 2.233 * [taylor]: Taking taylor expansion of (+ n f) in f 2.233 * [taylor]: Taking taylor expansion of n in f 2.233 * [taylor]: Taking taylor expansion of f in f 2.233 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 2.233 * [taylor]: Taking taylor expansion of (- f n) in f 2.233 * [taylor]: Taking taylor expansion of f in f 2.233 * [taylor]: Taking taylor expansion of n in f 2.233 * [taylor]: Taking taylor expansion of (+ n f) in f 2.233 * [taylor]: Taking taylor expansion of n in f 2.233 * [taylor]: Taking taylor expansion of f in f 2.234 * [taylor]: Taking taylor expansion of -1 in n 2.234 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.234 * [taylor]: Taking taylor expansion of 2 in n 2.234 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.234 * [taylor]: Taking taylor expansion of n in n 2.236 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.236 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.236 * [taylor]: Taking taylor expansion of 2 in n 2.236 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.236 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.236 * [taylor]: Taking taylor expansion of n in n 2.241 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.241 * [taylor]: Taking taylor expansion of 2 in n 2.241 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.241 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.241 * [taylor]: Taking taylor expansion of n in n 2.255 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 2.255 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 2.255 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.255 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.255 * [taylor]: Taking taylor expansion of f in n 2.255 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.255 * [taylor]: Taking taylor expansion of n in n 2.255 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.255 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.255 * [taylor]: Taking taylor expansion of f in n 2.255 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.255 * [taylor]: Taking taylor expansion of n in n 2.256 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 2.256 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.256 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.256 * [taylor]: Taking taylor expansion of f in f 2.257 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.257 * [taylor]: Taking taylor expansion of n in f 2.257 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.257 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.257 * [taylor]: Taking taylor expansion of f in f 2.257 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.257 * [taylor]: Taking taylor expansion of n in f 2.258 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 2.258 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.258 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.258 * [taylor]: Taking taylor expansion of f in f 2.258 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.258 * [taylor]: Taking taylor expansion of n in f 2.258 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.258 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.258 * [taylor]: Taking taylor expansion of f in f 2.259 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.259 * [taylor]: Taking taylor expansion of n in f 2.259 * [taylor]: Taking taylor expansion of 1 in n 2.261 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.261 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.261 * [taylor]: Taking taylor expansion of 2 in n 2.261 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.261 * [taylor]: Taking taylor expansion of n in n 2.264 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.264 * [taylor]: Taking taylor expansion of 2 in n 2.264 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.264 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.264 * [taylor]: Taking taylor expansion of n in n 2.271 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.271 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.271 * [taylor]: Taking taylor expansion of 2 in n 2.271 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.271 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.271 * [taylor]: Taking taylor expansion of n in n 2.277 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 2.277 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 2.277 * [taylor]: Taking taylor expansion of -1 in n 2.277 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 2.277 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.277 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.277 * [taylor]: Taking taylor expansion of n in n 2.278 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.278 * [taylor]: Taking taylor expansion of f in n 2.278 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.278 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.278 * [taylor]: Taking taylor expansion of f in n 2.278 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.278 * [taylor]: Taking taylor expansion of n in n 2.279 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 2.279 * [taylor]: Taking taylor expansion of -1 in f 2.279 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 2.279 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.279 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.279 * [taylor]: Taking taylor expansion of n in f 2.279 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.279 * [taylor]: Taking taylor expansion of f in f 2.279 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.279 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.279 * [taylor]: Taking taylor expansion of f in f 2.279 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.280 * [taylor]: Taking taylor expansion of n in f 2.281 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 2.281 * [taylor]: Taking taylor expansion of -1 in f 2.281 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 2.281 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.281 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.281 * [taylor]: Taking taylor expansion of n in f 2.281 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.281 * [taylor]: Taking taylor expansion of f in f 2.281 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.281 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.281 * [taylor]: Taking taylor expansion of f in f 2.281 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.281 * [taylor]: Taking taylor expansion of n in f 2.283 * [taylor]: Taking taylor expansion of 1 in n 2.284 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.284 * [taylor]: Taking taylor expansion of 2 in n 2.284 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.284 * [taylor]: Taking taylor expansion of n in n 2.288 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.288 * [taylor]: Taking taylor expansion of 2 in n 2.288 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.288 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.289 * [taylor]: Taking taylor expansion of n in n 2.296 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.296 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.296 * [taylor]: Taking taylor expansion of 2 in n 2.296 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.296 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.296 * [taylor]: Taking taylor expansion of n in n 2.302 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 2.302 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 2.302 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 2.302 * [taylor]: Taking taylor expansion of (- f n) in n 2.302 * [taylor]: Taking taylor expansion of f in n 2.302 * [taylor]: Taking taylor expansion of n in n 2.302 * [taylor]: Taking taylor expansion of (+ n f) in n 2.302 * [taylor]: Taking taylor expansion of n in n 2.302 * [taylor]: Taking taylor expansion of f in n 2.302 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 2.302 * [taylor]: Taking taylor expansion of (- f n) in f 2.303 * [taylor]: Taking taylor expansion of f in f 2.303 * [taylor]: Taking taylor expansion of n in f 2.303 * [taylor]: Taking taylor expansion of (+ n f) in f 2.303 * [taylor]: Taking taylor expansion of n in f 2.303 * [taylor]: Taking taylor expansion of f in f 2.303 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 2.303 * [taylor]: Taking taylor expansion of (- f n) in f 2.303 * [taylor]: Taking taylor expansion of f in f 2.303 * [taylor]: Taking taylor expansion of n in f 2.303 * [taylor]: Taking taylor expansion of (+ n f) in f 2.303 * [taylor]: Taking taylor expansion of n in f 2.303 * [taylor]: Taking taylor expansion of f in f 2.303 * [taylor]: Taking taylor expansion of -1 in n 2.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.304 * [taylor]: Taking taylor expansion of 2 in n 2.304 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.304 * [taylor]: Taking taylor expansion of n in n 2.306 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.306 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.306 * [taylor]: Taking taylor expansion of 2 in n 2.306 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.306 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.306 * [taylor]: Taking taylor expansion of n in n 2.311 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.311 * [taylor]: Taking taylor expansion of 2 in n 2.311 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.311 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.311 * [taylor]: Taking taylor expansion of n in n 2.316 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 2.316 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 2.316 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.316 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.316 * [taylor]: Taking taylor expansion of f in n 2.316 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.316 * [taylor]: Taking taylor expansion of n in n 2.317 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.317 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.317 * [taylor]: Taking taylor expansion of f in n 2.317 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.317 * [taylor]: Taking taylor expansion of n in n 2.318 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 2.318 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.318 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.318 * [taylor]: Taking taylor expansion of f in f 2.318 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.318 * [taylor]: Taking taylor expansion of n in f 2.319 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.319 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.319 * [taylor]: Taking taylor expansion of f in f 2.319 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.319 * [taylor]: Taking taylor expansion of n in f 2.320 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 2.320 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.320 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.320 * [taylor]: Taking taylor expansion of f in f 2.320 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.320 * [taylor]: Taking taylor expansion of n in f 2.320 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.320 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.320 * [taylor]: Taking taylor expansion of f in f 2.320 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.320 * [taylor]: Taking taylor expansion of n in f 2.321 * [taylor]: Taking taylor expansion of 1 in n 2.322 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.322 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.322 * [taylor]: Taking taylor expansion of 2 in n 2.323 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.323 * [taylor]: Taking taylor expansion of n in n 2.326 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.326 * [taylor]: Taking taylor expansion of 2 in n 2.326 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.326 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.326 * [taylor]: Taking taylor expansion of n in n 2.333 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.333 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.333 * [taylor]: Taking taylor expansion of 2 in n 2.333 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.333 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.333 * [taylor]: Taking taylor expansion of n in n 2.342 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 2.342 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 2.342 * [taylor]: Taking taylor expansion of -1 in n 2.342 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 2.342 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.342 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.342 * [taylor]: Taking taylor expansion of n in n 2.342 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.342 * [taylor]: Taking taylor expansion of f in n 2.342 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.342 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.342 * [taylor]: Taking taylor expansion of f in n 2.342 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.342 * [taylor]: Taking taylor expansion of n in n 2.343 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 2.343 * [taylor]: Taking taylor expansion of -1 in f 2.343 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 2.343 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.343 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.343 * [taylor]: Taking taylor expansion of n in f 2.343 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.343 * [taylor]: Taking taylor expansion of f in f 2.344 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.344 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.344 * [taylor]: Taking taylor expansion of f in f 2.344 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.344 * [taylor]: Taking taylor expansion of n in f 2.345 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 2.345 * [taylor]: Taking taylor expansion of -1 in f 2.345 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 2.345 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.345 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.345 * [taylor]: Taking taylor expansion of n in f 2.345 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.345 * [taylor]: Taking taylor expansion of f in f 2.346 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.346 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.346 * [taylor]: Taking taylor expansion of f in f 2.346 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.346 * [taylor]: Taking taylor expansion of n in f 2.347 * [taylor]: Taking taylor expansion of 1 in n 2.349 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.349 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.349 * [taylor]: Taking taylor expansion of 2 in n 2.349 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.349 * [taylor]: Taking taylor expansion of n in n 2.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.353 * [taylor]: Taking taylor expansion of 2 in n 2.353 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.353 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.353 * [taylor]: Taking taylor expansion of n in n 2.361 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.361 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.361 * [taylor]: Taking taylor expansion of 2 in n 2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.361 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.361 * [taylor]: Taking taylor expansion of n in n 2.367 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.367 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in (f n) around 0 2.367 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in n 2.367 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in n 2.367 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.367 * [taylor]: Taking taylor expansion of -1 in n 2.367 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.367 * [taylor]: Taking taylor expansion of (+ n f) in n 2.367 * [taylor]: Taking taylor expansion of n in n 2.367 * [taylor]: Taking taylor expansion of f in n 2.367 * [taylor]: Taking taylor expansion of (- f n) in n 2.367 * [taylor]: Taking taylor expansion of f in n 2.367 * [taylor]: Taking taylor expansion of n in n 2.370 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in f 2.370 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 2.370 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.370 * [taylor]: Taking taylor expansion of -1 in f 2.370 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.370 * [taylor]: Taking taylor expansion of (+ n f) in f 2.370 * [taylor]: Taking taylor expansion of n in f 2.370 * [taylor]: Taking taylor expansion of f in f 2.370 * [taylor]: Taking taylor expansion of (- f n) in f 2.370 * [taylor]: Taking taylor expansion of f in f 2.370 * [taylor]: Taking taylor expansion of n in f 2.372 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in f 2.372 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 2.372 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.372 * [taylor]: Taking taylor expansion of -1 in f 2.372 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.372 * [taylor]: Taking taylor expansion of (+ n f) in f 2.372 * [taylor]: Taking taylor expansion of n in f 2.372 * [taylor]: Taking taylor expansion of f in f 2.372 * [taylor]: Taking taylor expansion of (- f n) in f 2.372 * [taylor]: Taking taylor expansion of f in f 2.372 * [taylor]: Taking taylor expansion of n in f 2.375 * [taylor]: Taking taylor expansion of 1 in n 2.375 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.375 * [taylor]: Taking taylor expansion of 2 in n 2.375 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.375 * [taylor]: Taking taylor expansion of n in n 2.379 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.379 * [taylor]: Taking taylor expansion of 2 in n 2.379 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.379 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.379 * [taylor]: Taking taylor expansion of n in n 2.385 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.385 * [taylor]: Taking taylor expansion of 2 in n 2.385 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.385 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.385 * [taylor]: Taking taylor expansion of n in n 2.391 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in (f n) around 0 2.391 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in n 2.391 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.391 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.391 * [taylor]: Taking taylor expansion of -1 in n 2.391 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.391 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.391 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.391 * [taylor]: Taking taylor expansion of f in n 2.391 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.391 * [taylor]: Taking taylor expansion of n in n 2.391 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.391 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.391 * [taylor]: Taking taylor expansion of f in n 2.391 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.391 * [taylor]: Taking taylor expansion of n in n 2.395 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in f 2.395 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.395 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.395 * [taylor]: Taking taylor expansion of -1 in f 2.395 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.395 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.395 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.395 * [taylor]: Taking taylor expansion of f in f 2.396 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.396 * [taylor]: Taking taylor expansion of n in f 2.396 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.396 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.396 * [taylor]: Taking taylor expansion of f in f 2.396 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.396 * [taylor]: Taking taylor expansion of n in f 2.399 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in f 2.399 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.399 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.399 * [taylor]: Taking taylor expansion of -1 in f 2.399 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.399 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.399 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.399 * [taylor]: Taking taylor expansion of f in f 2.400 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.400 * [taylor]: Taking taylor expansion of n in f 2.400 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.400 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.400 * [taylor]: Taking taylor expansion of f in f 2.400 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.400 * [taylor]: Taking taylor expansion of n in f 2.404 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 2.404 * [taylor]: Taking taylor expansion of (sqrt -1) in n 2.404 * [taylor]: Taking taylor expansion of -1 in n 2.407 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.407 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.407 * [taylor]: Taking taylor expansion of 2 in n 2.407 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.408 * [taylor]: Taking taylor expansion of n in n 2.417 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.417 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.417 * [taylor]: Taking taylor expansion of 2 in n 2.417 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.417 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.417 * [taylor]: Taking taylor expansion of n in n 2.442 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3))))) in n 2.442 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) in n 2.442 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 3)) in n 2.442 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 2.442 * [taylor]: Taking taylor expansion of (sqrt -1) in n 2.442 * [taylor]: Taking taylor expansion of -1 in n 2.442 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.442 * [taylor]: Taking taylor expansion of n in n 2.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3)))) in n 2.446 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) in n 2.446 * [taylor]: Taking taylor expansion of (* (pow n 3) (pow (sqrt -1) 2)) in n 2.446 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.446 * [taylor]: Taking taylor expansion of n in n 2.446 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 2.446 * [taylor]: Taking taylor expansion of (sqrt -1) in n 2.446 * [taylor]: Taking taylor expansion of -1 in n 2.450 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.450 * [taylor]: Taking taylor expansion of 2 in n 2.450 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.450 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.450 * [taylor]: Taking taylor expansion of n in n 2.479 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.479 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.479 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.479 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.479 * [taylor]: Taking taylor expansion of f in n 2.479 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.479 * [taylor]: Taking taylor expansion of n in n 2.479 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.480 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.480 * [taylor]: Taking taylor expansion of n in n 2.480 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.480 * [taylor]: Taking taylor expansion of f in n 2.481 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.481 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.481 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.481 * [taylor]: Taking taylor expansion of f in f 2.481 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.481 * [taylor]: Taking taylor expansion of n in f 2.481 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.481 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.481 * [taylor]: Taking taylor expansion of n in f 2.481 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.481 * [taylor]: Taking taylor expansion of f in f 2.482 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.482 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.482 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.482 * [taylor]: Taking taylor expansion of f in f 2.483 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.483 * [taylor]: Taking taylor expansion of n in f 2.483 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.483 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.483 * [taylor]: Taking taylor expansion of n in f 2.483 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.483 * [taylor]: Taking taylor expansion of f in f 2.484 * [taylor]: Taking taylor expansion of -1 in n 2.485 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.485 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.485 * [taylor]: Taking taylor expansion of 2 in n 2.485 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.485 * [taylor]: Taking taylor expansion of n in n 2.489 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.489 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.489 * [taylor]: Taking taylor expansion of 2 in n 2.489 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.489 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.489 * [taylor]: Taking taylor expansion of n in n 2.497 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.497 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.497 * [taylor]: Taking taylor expansion of 2 in n 2.497 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.497 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.497 * [taylor]: Taking taylor expansion of n in n 2.503 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.503 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.503 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.503 * [taylor]: Taking taylor expansion of -1 in n 2.503 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.503 * [taylor]: Taking taylor expansion of (+ n f) in n 2.503 * [taylor]: Taking taylor expansion of n in n 2.503 * [taylor]: Taking taylor expansion of f in n 2.503 * [taylor]: Taking taylor expansion of (- f n) in n 2.503 * [taylor]: Taking taylor expansion of f in n 2.503 * [taylor]: Taking taylor expansion of n in n 2.503 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.503 * [taylor]: Taking taylor expansion of -1 in f 2.503 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.503 * [taylor]: Taking taylor expansion of (+ n f) in f 2.503 * [taylor]: Taking taylor expansion of n in f 2.503 * [taylor]: Taking taylor expansion of f in f 2.503 * [taylor]: Taking taylor expansion of (- f n) in f 2.503 * [taylor]: Taking taylor expansion of f in f 2.503 * [taylor]: Taking taylor expansion of n in f 2.504 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.504 * [taylor]: Taking taylor expansion of -1 in f 2.504 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.504 * [taylor]: Taking taylor expansion of (+ n f) in f 2.504 * [taylor]: Taking taylor expansion of n in f 2.504 * [taylor]: Taking taylor expansion of f in f 2.504 * [taylor]: Taking taylor expansion of (- f n) in f 2.504 * [taylor]: Taking taylor expansion of f in f 2.504 * [taylor]: Taking taylor expansion of n in f 2.504 * [taylor]: Taking taylor expansion of 1 in n 2.505 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.505 * [taylor]: Taking taylor expansion of 2 in n 2.505 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.505 * [taylor]: Taking taylor expansion of n in n 2.508 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.508 * [taylor]: Taking taylor expansion of 2 in n 2.508 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.508 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.508 * [taylor]: Taking taylor expansion of n in n 2.518 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.518 * [taylor]: Taking taylor expansion of 2 in n 2.518 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.518 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.518 * [taylor]: Taking taylor expansion of n in n 2.524 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.524 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.524 * [taylor]: Taking taylor expansion of -1 in n 2.524 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.524 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.524 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.524 * [taylor]: Taking taylor expansion of f in n 2.524 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.524 * [taylor]: Taking taylor expansion of n in n 2.524 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.524 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.524 * [taylor]: Taking taylor expansion of f in n 2.524 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.524 * [taylor]: Taking taylor expansion of n in n 2.526 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.526 * [taylor]: Taking taylor expansion of -1 in f 2.526 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.526 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.526 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.526 * [taylor]: Taking taylor expansion of f in f 2.526 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.526 * [taylor]: Taking taylor expansion of n in f 2.526 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.526 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.526 * [taylor]: Taking taylor expansion of f in f 2.526 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.526 * [taylor]: Taking taylor expansion of n in f 2.527 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.527 * [taylor]: Taking taylor expansion of -1 in f 2.527 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.527 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.527 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.527 * [taylor]: Taking taylor expansion of f in f 2.527 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.527 * [taylor]: Taking taylor expansion of n in f 2.528 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.528 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.528 * [taylor]: Taking taylor expansion of f in f 2.528 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.528 * [taylor]: Taking taylor expansion of n in f 2.529 * [taylor]: Taking taylor expansion of -1 in n 2.530 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.530 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.530 * [taylor]: Taking taylor expansion of 2 in n 2.530 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.530 * [taylor]: Taking taylor expansion of n in n 2.535 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.535 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.535 * [taylor]: Taking taylor expansion of 2 in n 2.535 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.535 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.535 * [taylor]: Taking taylor expansion of n in n 2.542 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.542 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.542 * [taylor]: Taking taylor expansion of 2 in n 2.542 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.543 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.543 * [taylor]: Taking taylor expansion of n in n 2.549 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.549 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.549 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.549 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.549 * [taylor]: Taking taylor expansion of f in n 2.549 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.549 * [taylor]: Taking taylor expansion of n in n 2.549 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.549 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.549 * [taylor]: Taking taylor expansion of n in n 2.550 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.550 * [taylor]: Taking taylor expansion of f in n 2.550 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.550 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.550 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.550 * [taylor]: Taking taylor expansion of f in f 2.551 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.551 * [taylor]: Taking taylor expansion of n in f 2.551 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.551 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.551 * [taylor]: Taking taylor expansion of n in f 2.551 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.551 * [taylor]: Taking taylor expansion of f in f 2.552 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.552 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.552 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.552 * [taylor]: Taking taylor expansion of f in f 2.552 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.552 * [taylor]: Taking taylor expansion of n in f 2.552 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.552 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.553 * [taylor]: Taking taylor expansion of n in f 2.553 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.553 * [taylor]: Taking taylor expansion of f in f 2.554 * [taylor]: Taking taylor expansion of -1 in n 2.555 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.555 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.555 * [taylor]: Taking taylor expansion of 2 in n 2.555 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.555 * [taylor]: Taking taylor expansion of n in n 2.559 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.559 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.559 * [taylor]: Taking taylor expansion of 2 in n 2.559 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.559 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.559 * [taylor]: Taking taylor expansion of n in n 2.566 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.567 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.567 * [taylor]: Taking taylor expansion of 2 in n 2.567 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.567 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.567 * [taylor]: Taking taylor expansion of n in n 2.572 * * * [progress]: simplifying candidates 2.583 * [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 (* (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))))) (log1p (* (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 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(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 1 (pow (sqrt -1) 2) -1 1 -1 -1 2.620 * * [simplify]: iteration 0 : 1032 enodes (cost 6026 ) 2.644 * * [simplify]: iteration 1 : 5002 enodes (cost 5874 ) 2.673 * [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))) 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(- 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)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (/ -1 (- f n)) -1 1 1 -1 1 1 1 -1 -1 1 -1 -1 2.679 * * * [progress]: adding candidates to table 3.735 * [progress]: [Phase 3 of 3] Extracting. 3.735 * * [regime]: Finding splitpoints for: (# # # #) 3.740 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 3.740 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # #) 3.754 * * * * [regimes]: Trying to branch on n from (# # # #) 3.769 * * * * [regimes]: Trying to branch on f from (# # # #) 3.786 * * * [regime]: Found split indices: #