0.886 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.278 * * * [progress]: [2/2] Setting up program. 0.281 * [progress]: [Phase 2 of 3] Improving. 0.283 * [simplify]: Simplifying using # : (/ (- (+ f n)) (- f n)) 0.287 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.288 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.289 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.291 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.292 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.293 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.295 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.295 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.297 * * [progress]: iteration 1 / 4 0.297 * * * [progress]: picking best candidate 0.298 * * * * [pick]: Picked # 0.298 * * * [progress]: localizing error 0.306 * * * [progress]: generating rewritten candidates 0.306 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.332 * * * [progress]: generating series expansions 0.332 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.336 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.337 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.337 * [taylor]: Taking taylor expansion of -1 in n 0.337 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.337 * [taylor]: Taking taylor expansion of (+ n f) in n 0.337 * [taylor]: Taking taylor expansion of n in n 0.337 * [taylor]: Taking taylor expansion of f in n 0.338 * [taylor]: Taking taylor expansion of (- f n) in n 0.338 * [taylor]: Taking taylor expansion of f in n 0.338 * [taylor]: Taking taylor expansion of n in n 0.338 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.339 * [taylor]: Taking taylor expansion of -1 in f 0.339 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.339 * [taylor]: Taking taylor expansion of (+ n f) in f 0.339 * [taylor]: Taking taylor expansion of n in f 0.339 * [taylor]: Taking taylor expansion of f in f 0.339 * [taylor]: Taking taylor expansion of (- f n) in f 0.339 * [taylor]: Taking taylor expansion of f in f 0.339 * [taylor]: Taking taylor expansion of n in f 0.339 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.339 * [taylor]: Taking taylor expansion of -1 in f 0.339 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.339 * [taylor]: Taking taylor expansion of (+ n f) in f 0.339 * [taylor]: Taking taylor expansion of n in f 0.339 * [taylor]: Taking taylor expansion of f in f 0.339 * [taylor]: Taking taylor expansion of (- f n) in f 0.339 * [taylor]: Taking taylor expansion of f in f 0.339 * [taylor]: Taking taylor expansion of n in f 0.340 * [taylor]: Taking taylor expansion of 1 in n 0.341 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.342 * [taylor]: Taking taylor expansion of 2 in n 0.342 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.342 * [taylor]: Taking taylor expansion of n in n 0.345 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.345 * [taylor]: Taking taylor expansion of 2 in n 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.345 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.345 * [taylor]: Taking taylor expansion of n in n 0.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.351 * [taylor]: Taking taylor expansion of 2 in n 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.351 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.351 * [taylor]: Taking taylor expansion of n in n 0.357 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.357 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.357 * [taylor]: Taking taylor expansion of -1 in n 0.357 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.357 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.357 * [taylor]: Taking taylor expansion of f in n 0.357 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.357 * [taylor]: Taking taylor expansion of n in n 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.357 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.358 * [taylor]: Taking taylor expansion of f in n 0.358 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.358 * [taylor]: Taking taylor expansion of n in n 0.359 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.359 * [taylor]: Taking taylor expansion of -1 in f 0.359 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.359 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.359 * [taylor]: Taking taylor expansion of f in f 0.359 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.359 * [taylor]: Taking taylor expansion of n in f 0.360 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.360 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.360 * [taylor]: Taking taylor expansion of f in f 0.360 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.360 * [taylor]: Taking taylor expansion of n in f 0.361 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.361 * [taylor]: Taking taylor expansion of -1 in f 0.361 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.361 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.361 * [taylor]: Taking taylor expansion of f in f 0.361 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.361 * [taylor]: Taking taylor expansion of n in f 0.361 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.361 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.361 * [taylor]: Taking taylor expansion of f in f 0.362 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.362 * [taylor]: Taking taylor expansion of n in f 0.363 * [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 0.384 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.384 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.384 * [taylor]: Taking taylor expansion of 2 in n 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.384 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.384 * [taylor]: Taking taylor expansion of n in n 0.391 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.391 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.391 * [taylor]: Taking taylor expansion of 2 in n 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.391 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.391 * [taylor]: Taking taylor expansion of n in n 0.397 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.397 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.397 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.397 * [taylor]: Taking taylor expansion of f in n 0.397 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.397 * [taylor]: Taking taylor expansion of n in n 0.398 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.398 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.398 * [taylor]: Taking taylor expansion of n in n 0.398 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.398 * [taylor]: Taking taylor expansion of f in n 0.399 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.399 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.399 * [taylor]: Taking taylor expansion of f in f 0.399 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.399 * [taylor]: Taking taylor expansion of n in f 0.399 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.399 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.399 * [taylor]: Taking taylor expansion of n in f 0.399 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.399 * [taylor]: Taking taylor expansion of f in f 0.401 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.401 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.401 * [taylor]: Taking taylor expansion of f in f 0.401 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.401 * [taylor]: Taking taylor expansion of n in f 0.401 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.401 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.401 * [taylor]: Taking taylor expansion of n in f 0.401 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.401 * [taylor]: Taking taylor expansion of f in f 0.402 * [taylor]: Taking taylor expansion of -1 in n 0.404 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.404 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.404 * [taylor]: Taking taylor expansion of 2 in n 0.404 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.404 * [taylor]: Taking taylor expansion of n in n 0.408 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.408 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.408 * [taylor]: Taking taylor expansion of 2 in n 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.408 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.408 * [taylor]: Taking taylor expansion of n in n 0.416 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.416 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.416 * [taylor]: Taking taylor expansion of 2 in n 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.416 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.416 * [taylor]: Taking taylor expansion of n in n 0.421 * * * [progress]: simplifying candidates 0.423 * [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 0.428 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.433 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.446 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 0.484 * * [simplify]: iteration 3 : 5001 enodes (cost 743 ) 0.487 * [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 0.488 * * * [progress]: adding candidates to table 0.641 * * [progress]: iteration 2 / 4 0.641 * * * [progress]: picking best candidate 0.647 * * * * [pick]: Picked # 0.647 * * * [progress]: localizing error 0.653 * * * [progress]: generating rewritten candidates 0.653 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.667 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.691 * * * [progress]: generating series expansions 0.691 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.691 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.692 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.692 * [taylor]: Taking taylor expansion of -1 in n 0.692 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.692 * [taylor]: Taking taylor expansion of (+ n f) in n 0.692 * [taylor]: Taking taylor expansion of n in n 0.692 * [taylor]: Taking taylor expansion of f in n 0.692 * [taylor]: Taking taylor expansion of (- f n) in n 0.692 * [taylor]: Taking taylor expansion of f in n 0.692 * [taylor]: Taking taylor expansion of n in n 0.692 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.692 * [taylor]: Taking taylor expansion of -1 in f 0.692 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.692 * [taylor]: Taking taylor expansion of (+ n f) in f 0.692 * [taylor]: Taking taylor expansion of n in f 0.692 * [taylor]: Taking taylor expansion of f in f 0.692 * [taylor]: Taking taylor expansion of (- f n) in f 0.692 * [taylor]: Taking taylor expansion of f in f 0.692 * [taylor]: Taking taylor expansion of n in f 0.693 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.693 * [taylor]: Taking taylor expansion of -1 in f 0.693 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.693 * [taylor]: Taking taylor expansion of (+ n f) in f 0.693 * [taylor]: Taking taylor expansion of n in f 0.693 * [taylor]: Taking taylor expansion of f in f 0.693 * [taylor]: Taking taylor expansion of (- f n) in f 0.693 * [taylor]: Taking taylor expansion of f in f 0.693 * [taylor]: Taking taylor expansion of n in f 0.693 * [taylor]: Taking taylor expansion of 1 in n 0.694 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.694 * [taylor]: Taking taylor expansion of 2 in n 0.694 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.694 * [taylor]: Taking taylor expansion of n in n 0.697 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.697 * [taylor]: Taking taylor expansion of 2 in n 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.697 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.697 * [taylor]: Taking taylor expansion of n in n 0.703 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.703 * [taylor]: Taking taylor expansion of 2 in n 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.703 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.703 * [taylor]: Taking taylor expansion of n in n 0.708 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.708 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.708 * [taylor]: Taking taylor expansion of -1 in n 0.708 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.708 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.708 * [taylor]: Taking taylor expansion of f in n 0.708 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.708 * [taylor]: Taking taylor expansion of n in n 0.709 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.709 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.709 * [taylor]: Taking taylor expansion of f in n 0.709 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.709 * [taylor]: Taking taylor expansion of n in n 0.710 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.710 * [taylor]: Taking taylor expansion of -1 in f 0.710 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.710 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.710 * [taylor]: Taking taylor expansion of f in f 0.710 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.710 * [taylor]: Taking taylor expansion of n in f 0.710 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.711 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.711 * [taylor]: Taking taylor expansion of f in f 0.711 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.711 * [taylor]: Taking taylor expansion of n in f 0.712 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.712 * [taylor]: Taking taylor expansion of -1 in f 0.712 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.712 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.712 * [taylor]: Taking taylor expansion of f in f 0.712 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.712 * [taylor]: Taking taylor expansion of n in f 0.712 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.712 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.712 * [taylor]: Taking taylor expansion of f in f 0.712 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.712 * [taylor]: Taking taylor expansion of n in f 0.713 * [taylor]: Taking taylor expansion of -1 in n 0.715 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.715 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.715 * [taylor]: Taking taylor expansion of 2 in n 0.715 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.715 * [taylor]: Taking taylor expansion of n in n 0.719 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.719 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.719 * [taylor]: Taking taylor expansion of 2 in n 0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.720 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.720 * [taylor]: Taking taylor expansion of n in n 0.727 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.727 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.727 * [taylor]: Taking taylor expansion of 2 in n 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.727 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.727 * [taylor]: Taking taylor expansion of n in n 0.733 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.733 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.733 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.733 * [taylor]: Taking taylor expansion of f in n 0.733 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.733 * [taylor]: Taking taylor expansion of n in n 0.734 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.734 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.734 * [taylor]: Taking taylor expansion of n in n 0.734 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.734 * [taylor]: Taking taylor expansion of f in n 0.735 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.735 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.735 * [taylor]: Taking taylor expansion of f in f 0.735 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.735 * [taylor]: Taking taylor expansion of n in f 0.735 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.735 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.735 * [taylor]: Taking taylor expansion of n in f 0.735 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.735 * [taylor]: Taking taylor expansion of f in f 0.737 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.737 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.737 * [taylor]: Taking taylor expansion of f in f 0.737 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.737 * [taylor]: Taking taylor expansion of n in f 0.737 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.737 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.737 * [taylor]: Taking taylor expansion of n in f 0.737 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.737 * [taylor]: Taking taylor expansion of f in f 0.738 * [taylor]: Taking taylor expansion of -1 in n 0.740 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.740 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.740 * [taylor]: Taking taylor expansion of 2 in n 0.740 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.740 * [taylor]: Taking taylor expansion of n in n 0.744 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.744 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.744 * [taylor]: Taking taylor expansion of 2 in n 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.744 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.744 * [taylor]: Taking taylor expansion of n in n 0.751 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.751 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.751 * [taylor]: Taking taylor expansion of 2 in n 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.751 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.751 * [taylor]: Taking taylor expansion of n in n 0.760 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.760 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 0.760 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 0.760 * [taylor]: Taking taylor expansion of (- f n) in n 0.760 * [taylor]: Taking taylor expansion of f in n 0.760 * [taylor]: Taking taylor expansion of n in n 0.760 * [taylor]: Taking taylor expansion of (+ n f) in n 0.760 * [taylor]: Taking taylor expansion of n in n 0.760 * [taylor]: Taking taylor expansion of f in n 0.761 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.761 * [taylor]: Taking taylor expansion of (- f n) in f 0.761 * [taylor]: Taking taylor expansion of f in f 0.761 * [taylor]: Taking taylor expansion of n in f 0.761 * [taylor]: Taking taylor expansion of (+ n f) in f 0.761 * [taylor]: Taking taylor expansion of n in f 0.761 * [taylor]: Taking taylor expansion of f in f 0.761 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.761 * [taylor]: Taking taylor expansion of (- f n) in f 0.761 * [taylor]: Taking taylor expansion of f in f 0.761 * [taylor]: Taking taylor expansion of n in f 0.761 * [taylor]: Taking taylor expansion of (+ n f) in f 0.761 * [taylor]: Taking taylor expansion of n in f 0.761 * [taylor]: Taking taylor expansion of f in f 0.761 * [taylor]: Taking taylor expansion of -1 in n 0.762 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.762 * [taylor]: Taking taylor expansion of 2 in n 0.762 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.762 * [taylor]: Taking taylor expansion of n in n 0.764 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.764 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.764 * [taylor]: Taking taylor expansion of 2 in n 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.764 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.764 * [taylor]: Taking taylor expansion of n in n 0.769 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.769 * [taylor]: Taking taylor expansion of 2 in n 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.769 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.769 * [taylor]: Taking taylor expansion of n in n 0.775 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 0.775 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 0.775 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.775 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.775 * [taylor]: Taking taylor expansion of f in n 0.775 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.775 * [taylor]: Taking taylor expansion of n in n 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.775 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.775 * [taylor]: Taking taylor expansion of f in n 0.775 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.775 * [taylor]: Taking taylor expansion of n in n 0.776 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.776 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.776 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.776 * [taylor]: Taking taylor expansion of f in f 0.777 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.777 * [taylor]: Taking taylor expansion of n in f 0.777 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.777 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.777 * [taylor]: Taking taylor expansion of f in f 0.777 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.777 * [taylor]: Taking taylor expansion of n in f 0.778 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.778 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.778 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.778 * [taylor]: Taking taylor expansion of f in f 0.778 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.778 * [taylor]: Taking taylor expansion of n in f 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.778 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.778 * [taylor]: Taking taylor expansion of f in f 0.779 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.779 * [taylor]: Taking taylor expansion of n in f 0.780 * [taylor]: Taking taylor expansion of 1 in n 0.781 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.781 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.781 * [taylor]: Taking taylor expansion of 2 in n 0.781 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.781 * [taylor]: Taking taylor expansion of n in n 0.784 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.784 * [taylor]: Taking taylor expansion of 2 in n 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.784 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.784 * [taylor]: Taking taylor expansion of n in n 0.792 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.792 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.792 * [taylor]: Taking taylor expansion of 2 in n 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.792 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.792 * [taylor]: Taking taylor expansion of n in n 0.798 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 0.798 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 0.798 * [taylor]: Taking taylor expansion of -1 in n 0.798 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 0.798 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.798 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.798 * [taylor]: Taking taylor expansion of n in n 0.798 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.798 * [taylor]: Taking taylor expansion of f in n 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.798 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.798 * [taylor]: Taking taylor expansion of f in n 0.798 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.798 * [taylor]: Taking taylor expansion of n in n 0.799 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.799 * [taylor]: Taking taylor expansion of -1 in f 0.799 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.799 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.799 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.799 * [taylor]: Taking taylor expansion of n in f 0.799 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.799 * [taylor]: Taking taylor expansion of f in f 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.800 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.800 * [taylor]: Taking taylor expansion of f in f 0.800 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.800 * [taylor]: Taking taylor expansion of n in f 0.801 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.801 * [taylor]: Taking taylor expansion of -1 in f 0.801 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.801 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.801 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.801 * [taylor]: Taking taylor expansion of n in f 0.801 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.801 * [taylor]: Taking taylor expansion of f in f 0.801 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.801 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.801 * [taylor]: Taking taylor expansion of f in f 0.802 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.802 * [taylor]: Taking taylor expansion of n in f 0.803 * [taylor]: Taking taylor expansion of 1 in n 0.804 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.804 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.804 * [taylor]: Taking taylor expansion of 2 in n 0.805 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.805 * [taylor]: Taking taylor expansion of n in n 0.809 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.809 * [taylor]: Taking taylor expansion of 2 in n 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.809 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.809 * [taylor]: Taking taylor expansion of n in n 0.816 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.816 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.816 * [taylor]: Taking taylor expansion of 2 in n 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.816 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.816 * [taylor]: Taking taylor expansion of n in n 0.822 * * * [progress]: simplifying candidates 0.825 * [simplify]: Simplifying using # : (expm1 (/ -1 (/ (- f n) (+ f n)))) (log1p (/ -1 (/ (- f n) (+ f n)))) (- (log -1) (- (log (- f n)) (log (+ f n)))) (- (log -1) (log (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (exp (/ -1 (/ (- f n) (+ f n)))) (/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* -1 -1) -1) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n)))) (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (- -1) (- (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (cbrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (cbrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) (/ (cbrt -1) (/ 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(cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) 1 -1 -1 -1 1 1 0.833 * * [simplify]: iteration 0 : 531 enodes (cost 1466 ) 0.844 * * [simplify]: iteration 1 : 2615 enodes (cost 1420 ) 0.887 * * [simplify]: iteration 2 : 5001 enodes (cost 1303 ) 0.896 * [simplify]: Simplified to: (expm1 (/ -1 (/ (- f n) (+ f n)))) (log1p (/ -1 (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (exp (/ -1 (/ (- f n) (+ f n)))) (pow (/ -1 (/ (- f n) (+ f n))) 3) (pow (/ -1 (/ (- f n) (+ f n))) 3) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n)))) (pow (/ -1 (/ (- f n) (+ f n))) 3) (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) 1 (- (/ (- f n) (+ f n))) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ (* (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 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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)) (/ 1 (/ (- f n) (- (* f f) (* n n)))) (/ -1 (- f n)) (/ 1 (/ (- f n) (+ f n))) (/ (/ (- f n) (+ f n)) -1) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (* -1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (* -1 (sqrt (+ f n))) -1 -1 (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (* -1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (* -1 (sqrt (+ f n))) -1 -1 -1 (/ -1 (- f n)) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) -1) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (/ -1 (- f n)) (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (log (/ (- f n) (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (pow (/ (- f n) (+ f n)) 3) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (pow (/ (- f n) (+ f n)) 3) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (* -1 (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (sqrt (- f n)) (/ (sqrt (- f n)) (+ f n)) (sqrt (- f n)) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) 1 (/ (- f n) (+ f n)) 1 (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (+ f n)) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) 1 (/ (- f n) (+ f n)) 1 (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (- f n) (- f n) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (fma f f (fma n n (* f n))) (+ f n)) (* (+ f n) (+ f n)) 1 -1 -1 -1 1 1 0.898 * * * [progress]: adding candidates to table 1.145 * * [progress]: iteration 3 / 4 1.145 * * * [progress]: picking best candidate 1.149 * * * * [pick]: Picked # 1.149 * * * [progress]: localizing error 1.156 * * * [progress]: generating rewritten candidates 1.156 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.222 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.287 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.292 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.339 * * * [progress]: generating series expansions 1.339 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.340 * [approximate]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in (f n) around 0 1.340 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 1.340 * [taylor]: Taking taylor expansion of -1 in n 1.340 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 1.340 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 1.340 * [taylor]: Taking taylor expansion of f in n 1.340 * [taylor]: Taking taylor expansion of (+ n f) in n 1.340 * [taylor]: Taking taylor expansion of n in n 1.340 * [taylor]: Taking taylor expansion of f in n 1.340 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 1.340 * [taylor]: Taking taylor expansion of n in n 1.340 * [taylor]: Taking taylor expansion of (+ n f) in n 1.340 * [taylor]: Taking taylor expansion of n in n 1.340 * [taylor]: Taking taylor expansion of f in n 1.341 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 1.341 * [taylor]: Taking taylor expansion of -1 in f 1.341 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 1.341 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 1.341 * [taylor]: Taking taylor expansion of f in f 1.341 * [taylor]: Taking taylor expansion of (+ n f) in f 1.341 * [taylor]: Taking taylor expansion of n in f 1.341 * [taylor]: Taking taylor expansion of f in f 1.341 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 1.341 * [taylor]: Taking taylor expansion of n in f 1.341 * [taylor]: Taking taylor expansion of (+ n f) in f 1.341 * [taylor]: Taking taylor expansion of n in f 1.341 * [taylor]: Taking taylor expansion of f in f 1.342 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 1.342 * [taylor]: Taking taylor expansion of -1 in f 1.342 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 1.342 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 1.342 * [taylor]: Taking taylor expansion of f in f 1.342 * [taylor]: Taking taylor expansion of (+ n f) in f 1.342 * [taylor]: Taking taylor expansion of n in f 1.342 * [taylor]: Taking taylor expansion of f in f 1.342 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 1.342 * [taylor]: Taking taylor expansion of n in f 1.342 * [taylor]: Taking taylor expansion of (+ n f) in f 1.342 * [taylor]: Taking taylor expansion of n in f 1.342 * [taylor]: Taking taylor expansion of f in f 1.343 * [taylor]: Taking taylor expansion of 1 in n 1.344 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.344 * [taylor]: Taking taylor expansion of 2 in n 1.344 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.344 * [taylor]: Taking taylor expansion of n in n 1.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.347 * [taylor]: Taking taylor expansion of 2 in n 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.347 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.347 * [taylor]: Taking taylor expansion of n in n 1.352 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.352 * [taylor]: Taking taylor expansion of 2 in n 1.352 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.352 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.352 * [taylor]: Taking taylor expansion of n in n 1.365 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 1.365 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 1.365 * [taylor]: Taking taylor expansion of -1 in n 1.365 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 1.365 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 1.365 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 1.365 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.365 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.365 * [taylor]: Taking taylor expansion of f in n 1.365 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.365 * [taylor]: Taking taylor expansion of n in n 1.366 * [taylor]: Taking taylor expansion of f in n 1.366 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 1.366 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 1.366 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.366 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.366 * [taylor]: Taking taylor expansion of f in n 1.366 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.366 * [taylor]: Taking taylor expansion of n in n 1.367 * [taylor]: Taking taylor expansion of n in n 1.369 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 1.369 * [taylor]: Taking taylor expansion of -1 in f 1.369 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 1.369 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 1.369 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 1.369 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.369 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.369 * [taylor]: Taking taylor expansion of f in f 1.369 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.369 * [taylor]: Taking taylor expansion of n in f 1.369 * [taylor]: Taking taylor expansion of f in f 1.371 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 1.371 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 1.371 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.371 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.371 * [taylor]: Taking taylor expansion of f in f 1.371 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.371 * [taylor]: Taking taylor expansion of n in f 1.371 * [taylor]: Taking taylor expansion of n in f 1.372 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 1.372 * [taylor]: Taking taylor expansion of -1 in f 1.372 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 1.372 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 1.372 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 1.372 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.372 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.372 * [taylor]: Taking taylor expansion of f in f 1.373 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.373 * [taylor]: Taking taylor expansion of n in f 1.373 * [taylor]: Taking taylor expansion of f in f 1.374 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 1.374 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 1.374 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.374 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.374 * [taylor]: Taking taylor expansion of f in f 1.375 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.375 * [taylor]: Taking taylor expansion of n in f 1.375 * [taylor]: Taking taylor expansion of n in f 1.375 * [taylor]: Taking taylor expansion of -1 in n 1.377 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.377 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.377 * [taylor]: Taking taylor expansion of 2 in n 1.377 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.377 * [taylor]: Taking taylor expansion of n in n 1.382 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.382 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.382 * [taylor]: Taking taylor expansion of 2 in n 1.382 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.382 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.382 * [taylor]: Taking taylor expansion of n in n 1.391 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.391 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.391 * [taylor]: Taking taylor expansion of 2 in n 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.391 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.391 * [taylor]: Taking taylor expansion of n in n 1.397 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 1.397 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 1.397 * [taylor]: Taking taylor expansion of -1 in n 1.397 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 1.397 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 1.397 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 1.397 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.397 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.397 * [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 f in n 1.398 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 1.398 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 1.398 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.398 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.398 * [taylor]: Taking taylor expansion of f in n 1.398 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.398 * [taylor]: Taking taylor expansion of n in n 1.398 * [taylor]: Taking taylor expansion of n in n 1.401 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 1.401 * [taylor]: Taking taylor expansion of -1 in f 1.401 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 1.401 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 1.401 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 1.401 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.401 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.401 * [taylor]: Taking taylor expansion of f in f 1.401 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.401 * [taylor]: Taking taylor expansion of n in f 1.401 * [taylor]: Taking taylor expansion of f in f 1.402 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 1.403 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 1.403 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.403 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.403 * [taylor]: Taking taylor expansion of f in f 1.403 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.403 * [taylor]: Taking taylor expansion of n in f 1.403 * [taylor]: Taking taylor expansion of n in f 1.404 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 1.404 * [taylor]: Taking taylor expansion of -1 in f 1.404 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 1.404 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 1.404 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 1.404 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.404 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.404 * [taylor]: Taking taylor expansion of f in f 1.404 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.404 * [taylor]: Taking taylor expansion of n in f 1.404 * [taylor]: Taking taylor expansion of f in f 1.406 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 1.406 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 1.406 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.406 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.406 * [taylor]: Taking taylor expansion of f in f 1.406 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.406 * [taylor]: Taking taylor expansion of n in f 1.406 * [taylor]: Taking taylor expansion of n in f 1.407 * [taylor]: Taking taylor expansion of -1 in n 1.409 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.409 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.409 * [taylor]: Taking taylor expansion of 2 in n 1.409 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.409 * [taylor]: Taking taylor expansion of n in n 1.414 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.414 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.414 * [taylor]: Taking taylor expansion of 2 in n 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.414 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.414 * [taylor]: Taking taylor expansion of n in n 1.423 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.423 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.423 * [taylor]: Taking taylor expansion of 2 in n 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.423 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.423 * [taylor]: Taking taylor expansion of n in n 1.428 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.429 * [approximate]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 1.429 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 1.429 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 1.429 * [taylor]: Taking taylor expansion of f in n 1.429 * [taylor]: Taking taylor expansion of (+ n f) in n 1.429 * [taylor]: Taking taylor expansion of n in n 1.429 * [taylor]: Taking taylor expansion of f in n 1.429 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 1.429 * [taylor]: Taking taylor expansion of n in n 1.429 * [taylor]: Taking taylor expansion of (+ n f) in n 1.429 * [taylor]: Taking taylor expansion of n in n 1.429 * [taylor]: Taking taylor expansion of f in n 1.429 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 1.429 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 1.429 * [taylor]: Taking taylor expansion of f in f 1.429 * [taylor]: Taking taylor expansion of (+ n f) in f 1.429 * [taylor]: Taking taylor expansion of n in f 1.429 * [taylor]: Taking taylor expansion of f in f 1.429 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 1.429 * [taylor]: Taking taylor expansion of n in f 1.429 * [taylor]: Taking taylor expansion of (+ n f) in f 1.429 * [taylor]: Taking taylor expansion of n in f 1.429 * [taylor]: Taking taylor expansion of f in f 1.429 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 1.429 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 1.429 * [taylor]: Taking taylor expansion of f in f 1.429 * [taylor]: Taking taylor expansion of (+ n f) in f 1.429 * [taylor]: Taking taylor expansion of n in f 1.429 * [taylor]: Taking taylor expansion of f in f 1.429 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 1.429 * [taylor]: Taking taylor expansion of n in f 1.429 * [taylor]: Taking taylor expansion of (+ n f) in f 1.429 * [taylor]: Taking taylor expansion of n in f 1.429 * [taylor]: Taking taylor expansion of f in f 1.430 * [taylor]: Taking taylor expansion of -1 in n 1.430 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.430 * [taylor]: Taking taylor expansion of 2 in n 1.430 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.431 * [taylor]: Taking taylor expansion of n in n 1.433 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.433 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.433 * [taylor]: Taking taylor expansion of 2 in n 1.433 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.433 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.433 * [taylor]: Taking taylor expansion of n in n 1.438 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.438 * [taylor]: Taking taylor expansion of 2 in n 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.438 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.438 * [taylor]: Taking taylor expansion of n in n 1.444 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 1.444 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 1.444 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 1.444 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 1.444 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.444 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.444 * [taylor]: Taking taylor expansion of f in n 1.444 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.444 * [taylor]: Taking taylor expansion of n in n 1.444 * [taylor]: Taking taylor expansion of f in n 1.445 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 1.445 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 1.445 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.445 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.445 * [taylor]: Taking taylor expansion of f in n 1.445 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.445 * [taylor]: Taking taylor expansion of n in n 1.445 * [taylor]: Taking taylor expansion of n in n 1.446 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 1.446 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 1.446 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 1.446 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.446 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.446 * [taylor]: Taking taylor expansion of f in f 1.447 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.447 * [taylor]: Taking taylor expansion of n in f 1.447 * [taylor]: Taking taylor expansion of f in f 1.451 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 1.451 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 1.451 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.451 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.451 * [taylor]: Taking taylor expansion of f in f 1.451 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.451 * [taylor]: Taking taylor expansion of n in f 1.451 * [taylor]: Taking taylor expansion of n in f 1.451 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 1.451 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 1.451 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 1.452 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.452 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.452 * [taylor]: Taking taylor expansion of f in f 1.452 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.452 * [taylor]: Taking taylor expansion of n in f 1.452 * [taylor]: Taking taylor expansion of f in f 1.453 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 1.453 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 1.453 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.453 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.453 * [taylor]: Taking taylor expansion of f in f 1.454 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.454 * [taylor]: Taking taylor expansion of n in f 1.454 * [taylor]: Taking taylor expansion of n in f 1.454 * [taylor]: Taking taylor expansion of 1 in n 1.456 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.456 * [taylor]: Taking taylor expansion of 2 in n 1.456 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.456 * [taylor]: Taking taylor expansion of n in n 1.460 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.460 * [taylor]: Taking taylor expansion of 2 in n 1.460 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.460 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.460 * [taylor]: Taking taylor expansion of n in n 1.468 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.468 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.468 * [taylor]: Taking taylor expansion of 2 in n 1.468 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.468 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.468 * [taylor]: Taking taylor expansion of n in n 1.475 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 1.475 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 1.475 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 1.475 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 1.475 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.475 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.475 * [taylor]: Taking taylor expansion of f in n 1.475 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.475 * [taylor]: Taking taylor expansion of n in n 1.475 * [taylor]: Taking taylor expansion of f in n 1.476 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 1.476 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) 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 1.476 * [taylor]: Taking taylor expansion of n in n 1.477 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 1.477 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 1.477 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 1.477 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.477 * [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 1.478 * [taylor]: Taking taylor expansion of f in f 1.479 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 1.479 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 1.479 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.479 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.479 * [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 1.480 * [taylor]: Taking taylor expansion of n in f 1.480 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 1.480 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 1.480 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) 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 1.480 * [taylor]: Taking taylor expansion of f in f 1.482 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 1.482 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 1.482 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.482 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.482 * [taylor]: Taking taylor expansion of f in f 1.482 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.482 * [taylor]: Taking taylor expansion of n in f 1.482 * [taylor]: Taking taylor expansion of n in f 1.483 * [taylor]: Taking taylor expansion of 1 in n 1.484 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.484 * [taylor]: Taking taylor expansion of 2 in n 1.484 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.484 * [taylor]: Taking taylor expansion of n in n 1.489 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.489 * [taylor]: Taking taylor expansion of 2 in n 1.489 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.489 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.489 * [taylor]: Taking taylor expansion of n in n 1.497 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.497 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.497 * [taylor]: Taking taylor expansion of 2 in n 1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.497 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.497 * [taylor]: Taking taylor expansion of n in n 1.502 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.502 * [approximate]: Taking taylor expansion of (/ f (+ n f)) in (f n) around 0 1.502 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 1.502 * [taylor]: Taking taylor expansion of f in n 1.502 * [taylor]: Taking taylor expansion of (+ n f) in n 1.502 * [taylor]: Taking taylor expansion of n in n 1.503 * [taylor]: Taking taylor expansion of f in n 1.503 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 1.503 * [taylor]: Taking taylor expansion of f in f 1.503 * [taylor]: Taking taylor expansion of (+ n f) in f 1.503 * [taylor]: Taking taylor expansion of n in f 1.503 * [taylor]: Taking taylor expansion of f in f 1.503 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 1.503 * [taylor]: Taking taylor expansion of f in f 1.503 * [taylor]: Taking taylor expansion of (+ n f) in f 1.503 * [taylor]: Taking taylor expansion of n in f 1.503 * [taylor]: Taking taylor expansion of f in f 1.503 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.503 * [taylor]: Taking taylor expansion of n in n 1.504 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.504 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.504 * [taylor]: Taking taylor expansion of n in n 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.507 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.507 * [taylor]: Taking taylor expansion of n in n 1.514 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 1.514 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 1.514 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 1.514 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.514 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.514 * [taylor]: Taking taylor expansion of f in n 1.514 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.514 * [taylor]: Taking taylor expansion of n in n 1.515 * [taylor]: Taking taylor expansion of f in n 1.515 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 1.515 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 1.515 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.515 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.515 * [taylor]: Taking taylor expansion of f in f 1.515 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.515 * [taylor]: Taking taylor expansion of n in f 1.515 * [taylor]: Taking taylor expansion of f in f 1.517 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 1.517 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 1.517 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.517 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.517 * [taylor]: Taking taylor expansion of f in f 1.517 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.517 * [taylor]: Taking taylor expansion of n in f 1.517 * [taylor]: Taking taylor expansion of f in f 1.519 * [taylor]: Taking taylor expansion of 1 in n 1.520 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 1.520 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.520 * [taylor]: Taking taylor expansion of n in n 1.524 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.524 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.524 * [taylor]: Taking taylor expansion of n in n 1.528 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 1.528 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 1.528 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.528 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.528 * [taylor]: Taking taylor expansion of f in n 1.528 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.528 * [taylor]: Taking taylor expansion of n in n 1.528 * [taylor]: Taking taylor expansion of f in n 1.529 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 1.529 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 1.529 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.529 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.529 * [taylor]: Taking taylor expansion of f in f 1.529 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.529 * [taylor]: Taking taylor expansion of n in f 1.529 * [taylor]: Taking taylor expansion of f in f 1.531 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 1.531 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 1.531 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.531 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.531 * [taylor]: Taking taylor expansion of f in f 1.531 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.531 * [taylor]: Taking taylor expansion of n in f 1.531 * [taylor]: Taking taylor expansion of f in f 1.533 * [taylor]: Taking taylor expansion of 1 in n 1.536 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 1.536 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.536 * [taylor]: Taking taylor expansion of n in n 1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.540 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.540 * [taylor]: Taking taylor expansion of n in n 1.544 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.544 * [approximate]: Taking taylor expansion of (/ n (+ n f)) in (n f) around 0 1.544 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 1.544 * [taylor]: Taking taylor expansion of n in f 1.544 * [taylor]: Taking taylor expansion of (+ n f) in f 1.544 * [taylor]: Taking taylor expansion of n in f 1.544 * [taylor]: Taking taylor expansion of f in f 1.544 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 1.544 * [taylor]: Taking taylor expansion of n in n 1.544 * [taylor]: Taking taylor expansion of (+ n f) in n 1.544 * [taylor]: Taking taylor expansion of n in n 1.544 * [taylor]: Taking taylor expansion of f in n 1.544 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 1.544 * [taylor]: Taking taylor expansion of n in n 1.544 * [taylor]: Taking taylor expansion of (+ n f) in n 1.544 * [taylor]: Taking taylor expansion of n in n 1.544 * [taylor]: Taking taylor expansion of f in n 1.544 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.544 * [taylor]: Taking taylor expansion of f in f 1.545 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 1.545 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 1.545 * [taylor]: Taking taylor expansion of (pow f 2) in f 1.545 * [taylor]: Taking taylor expansion of f in f 1.549 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 1.549 * [taylor]: Taking taylor expansion of (pow f 3) in f 1.549 * [taylor]: Taking taylor expansion of f in f 1.556 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 1.556 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 1.556 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 1.556 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.556 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.556 * [taylor]: Taking taylor expansion of f in f 1.556 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.556 * [taylor]: Taking taylor expansion of n in f 1.556 * [taylor]: Taking taylor expansion of n in f 1.556 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 1.556 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 1.556 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.556 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.556 * [taylor]: Taking taylor expansion of f in n 1.557 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.557 * [taylor]: Taking taylor expansion of n in n 1.557 * [taylor]: Taking taylor expansion of n in n 1.558 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 1.558 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 1.558 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.558 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.558 * [taylor]: Taking taylor expansion of f in n 1.558 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.558 * [taylor]: Taking taylor expansion of n in n 1.559 * [taylor]: Taking taylor expansion of n in n 1.560 * [taylor]: Taking taylor expansion of 1 in f 1.562 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 1.562 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.562 * [taylor]: Taking taylor expansion of f in f 1.565 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 1.565 * [taylor]: Taking taylor expansion of (pow f 2) in f 1.565 * [taylor]: Taking taylor expansion of f in f 1.569 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 1.569 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 1.569 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 1.569 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.569 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.569 * [taylor]: Taking taylor expansion of f in f 1.569 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.569 * [taylor]: Taking taylor expansion of n in f 1.569 * [taylor]: Taking taylor expansion of n in f 1.570 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 1.570 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 1.570 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.570 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.570 * [taylor]: Taking taylor expansion of f in n 1.570 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.570 * [taylor]: Taking taylor expansion of n in n 1.570 * [taylor]: Taking taylor expansion of n in n 1.572 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 1.572 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 1.572 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.572 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.572 * [taylor]: Taking taylor expansion of f in n 1.572 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.572 * [taylor]: Taking taylor expansion of n in n 1.572 * [taylor]: Taking taylor expansion of n in n 1.574 * [taylor]: Taking taylor expansion of 1 in f 1.575 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 1.575 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.575 * [taylor]: Taking taylor expansion of f in f 1.578 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 1.578 * [taylor]: Taking taylor expansion of (pow f 2) in f 1.578 * [taylor]: Taking taylor expansion of f in f 1.582 * * * [progress]: simplifying candidates 1.594 * [simplify]: Simplifying using # : (expm1 (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (log1p (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (- (log -1) (log (- (/ f (+ f n)) (/ n (+ f n))))) (log (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (exp (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (/ (* (* -1 -1) -1) (* (* (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n))))) (* (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))))) (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (* (* 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3) (sqrt (+ f n))) (sqrt (+ f n)))) (* (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n))) (+ (- (/ (cbrt n) (sqrt (+ f n)))) (/ (cbrt n) (sqrt (+ f n))))) (- (* (/ f (- (* f f) (* n n))) (- f n)) (/ (pow (cbrt n) 3) (+ f n))) (+ (/ (pow (cbrt n) 3) (+ f n)) (/ (- (pow (cbrt n) 3)) (+ f n))) (- (* (/ f (- (* f f) (* n n))) (- f n)) (/ (pow (cbrt n) 3) (+ f n))) (+ (/ (pow (cbrt n) 3) (+ f n)) (/ (- (pow (cbrt n) 3)) (+ f n))) (- (* (/ f (- (* f f) (* n n))) (- f n)) (/ (/ (/ n (cbrt (+ f n))) (cbrt (+ f n))) (cbrt (+ f n)))) (* (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (- (/ n (cbrt (+ f n)))) (/ n (cbrt (+ f n))))) (- (* (/ f (- (* f f) (* n n))) (- f n)) (/ (/ n (sqrt (+ f n))) (sqrt (+ f n)))) (* (/ n (sqrt (+ f n))) (+ (/ -1 (sqrt (+ f n))) (/ 1 (sqrt (+ f n))))) (- (* (/ f (- (* f f) (* n n))) (- f n)) (/ n (+ f n))) (* (/ n (+ f n)) 0) (- (* (/ f (- (* f f) (* n n))) (- f n)) (/ n (+ f n))) (* (/ n (+ f n)) 0) (- (* (/ f (- (* f f) (* n n))) (- f n)) (/ (/ (/ n (cbrt (+ f n))) (cbrt (+ f n))) (cbrt (+ f n)))) (* (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (- (/ n (cbrt (+ f n)))) (/ n (cbrt (+ f n))))) (- (* (/ f (- (* f f) (* n n))) (- f n)) (/ (/ n (sqrt (+ f n))) (sqrt (+ f n)))) (* (/ n (sqrt (+ f n))) (+ (/ -1 (sqrt (+ f n))) (/ 1 (sqrt (+ f n))))) (- (* (/ f (- (* f f) (* n n))) (- f n)) (/ n (+ f n))) (* (/ n (+ f n)) 0) (- (* (/ f (- (* f f) (* n n))) (- f n)) (/ n (+ f n))) (* (/ n (+ f n)) 0) (- (* (/ f (- (* f f) (* n n))) (- f n)) (/ n (+ f n))) (* (/ n (+ f n)) 0) (- (* (/ f (- (* f f) (* n n))) (- f n)) (/ n (+ f n))) (* (/ n (+ f n)) 0) (- (* (/ f (- (* f f) (* n n))) (- f n)) (/ (* (fma f f (* n (- n f))) n) (+ (pow f 3) (pow n 3)))) (* (fma f f (* n (- n f))) (+ (- (/ n (+ (pow f 3) (pow n 3)))) (/ n (+ (pow f 3) (pow n 3))))) (fma (/ f (- (* f f) (* n n))) (- f n) (- (* (- f n) (/ n (- (* f f) (* n n)))))) (* (/ n (- (* f f) (* n n))) (+ (- (- f n)) (- f n))) (expm1 (- (/ f (+ f n)) (/ n (+ f n)))) (log1p (- (/ f (+ f n)) (/ n (+ f n)))) (- (/ n (+ f n))) (- (/ n (+ f n))) (- (/ n (+ f n))) (- (/ n (+ f n))) (- (/ n (+ f n))) (- (/ n (+ f n))) (- (/ n (+ f n))) (- (/ n (+ f n))) (- (/ n (+ f n))) (- (/ n (+ f n))) (- (/ n (+ f n))) (- (/ n (+ f n))) (- (/ n (+ f n))) (- (/ n (+ f n))) (- (/ n (+ f n))) (- (/ n (+ f n))) (- (/ n (+ f n))) (- (/ n (+ f n))) (exp (- (/ f (+ f n)) (/ n (+ f n)))) (log (- (/ f (+ f n)) (/ n (+ f n)))) (exp (- (/ f (+ f n)) (/ n (+ f n)))) (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n))))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (pow (- (/ f (+ f n)) (/ n (+ f n))) 3) (sqrt (- (/ f (+ f n)) (/ n (+ f n)))) (sqrt (- (/ f (+ f n)) (/ n (+ f n)))) (- f n) (- (* f f) (* n n)) (* (+ f n) (+ f n)) (- (pow (/ f (+ f n)) 3) (pow (/ n (+ f n)) 3)) (fma (/ n (+ f n)) (+ (/ f (+ f n)) (/ n (+ f n))) (* (/ f (+ f n)) (/ f (+ f n)))) (- (/ n (+ f n))) (- (* (/ f (+ f n)) (/ f (+ f n))) (* (/ n (+ f n)) (/ n (+ f n)))) (+ (/ f (+ f n)) (/ n (+ f n))) (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n)))) (- (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n)))) (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n)))) (- (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n)))) (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (/ f (cbrt (+ f n))) (/ n (cbrt (+ f n)))) (- (/ f (sqrt (+ f n))) (/ n (sqrt (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- f n) (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3)))) (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n)))) (- (/ n (+ f n))) (expm1 (/ f (+ f n))) (log1p (/ f (+ f n))) (log (/ f (+ f n))) (log (/ f (+ f n))) (exp (/ f (+ f n))) (pow (/ f (+ f n)) 3) (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (pow (/ f (+ f n)) 3) (sqrt (/ f (+ f n))) (sqrt (/ f (+ f n))) (- f) (- (+ f n)) (/ (* (cbrt f) (cbrt f)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt f) (cbrt (+ f n))) (/ (* (cbrt f) (cbrt f)) (sqrt (+ f n))) (/ (cbrt f) (sqrt (+ f n))) (* (cbrt f) (cbrt f)) (/ (cbrt f) (+ f n)) (* (cbrt f) (cbrt f)) (/ (cbrt f) (+ f n)) (/ (sqrt f) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt f) (cbrt (+ f n))) (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt f) (sqrt (+ f n))) (sqrt f) (/ (sqrt f) (+ f n)) (sqrt f) (/ (sqrt f) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ f (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ f (sqrt (+ f n))) 1 (/ f (+ f n)) 1 (/ f (+ f n)) (/ 1 (+ f n)) (/ (+ f n) f) (/ f (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ f (sqrt (+ f n))) f f (/ (+ f n) (cbrt f)) (/ (+ f n) (sqrt f)) (/ (+ f n) f) (/ f (+ (pow f 3) (pow n 3))) (/ f (- (* f f) (* n n))) (expm1 (/ n (+ f n))) (log1p (/ n (+ f n))) (log (/ n (+ f n))) (log (/ n (+ f n))) (exp (/ n (+ f n))) (pow (/ n (+ f n)) 3) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ f n)))) (cbrt (/ n (+ f n))) (pow (/ n (+ f n)) 3) (sqrt (/ n (+ f n))) (sqrt (/ n (+ f n))) (- n) (- (+ f n)) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n))) (/ (cbrt n) (sqrt (+ f n))) (* (cbrt n) (cbrt n)) (/ (cbrt n) (+ f n)) (* (cbrt n) (cbrt n)) (/ (cbrt n) (+ f n)) (/ (sqrt n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt n) (cbrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))) (sqrt n) (/ (sqrt n) (+ f n)) (sqrt n) (/ (sqrt n) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ n (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ n (sqrt (+ f n))) 1 (/ n (+ f n)) 1 (/ n (+ f n)) (/ 1 (+ f n)) (/ (+ f n) n) (/ n (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ n (sqrt (+ f n))) n n (/ (+ f n) (cbrt n)) (/ (+ f n) (sqrt n)) (/ (+ f n) n) (/ n (+ (pow f 3) (pow n 3))) (/ n (- (* f f) (* n n))) 1 -1 -1 -1 1 1 0 0 0 0 0 0 1.748 * * * [progress]: adding candidates to table 2.529 * * [progress]: iteration 4 / 4 2.529 * * * [progress]: picking best candidate 2.532 * * * * [pick]: Picked # 2.532 * * * [progress]: localizing error 2.541 * * * [progress]: generating rewritten candidates 2.541 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 2.542 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 2.559 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.566 * * * [progress]: generating series expansions 2.566 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 2.567 * [approximate]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 2.567 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in n 2.568 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.568 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in n 2.568 * [taylor]: Taking taylor expansion of 1 in n 2.568 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.568 * [taylor]: Taking taylor expansion of -1 in n 2.568 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.568 * [taylor]: Taking taylor expansion of (+ n f) in n 2.568 * [taylor]: Taking taylor expansion of n in n 2.568 * [taylor]: Taking taylor expansion of f in n 2.568 * [taylor]: Taking taylor expansion of (- f n) in n 2.568 * [taylor]: Taking taylor expansion of f in n 2.568 * [taylor]: Taking taylor expansion of n in n 2.571 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 2.571 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.571 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 2.571 * [taylor]: Taking taylor expansion of 1 in f 2.571 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.571 * [taylor]: Taking taylor expansion of -1 in f 2.571 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.571 * [taylor]: Taking taylor expansion of (+ n f) in f 2.571 * [taylor]: Taking taylor expansion of n in f 2.571 * [taylor]: Taking taylor expansion of f in f 2.571 * [taylor]: Taking taylor expansion of (- f n) in f 2.571 * [taylor]: Taking taylor expansion of f in f 2.571 * [taylor]: Taking taylor expansion of n in f 2.572 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 2.572 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.572 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 2.572 * [taylor]: Taking taylor expansion of 1 in f 2.572 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.572 * [taylor]: Taking taylor expansion of -1 in f 2.572 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.572 * [taylor]: Taking taylor expansion of (+ n f) in f 2.572 * [taylor]: Taking taylor expansion of n in f 2.572 * [taylor]: Taking taylor expansion of f in f 2.572 * [taylor]: Taking taylor expansion of (- f n) in f 2.572 * [taylor]: Taking taylor expansion of f in f 2.572 * [taylor]: Taking taylor expansion of n in f 2.573 * [taylor]: Taking taylor expansion of (log 2) in n 2.573 * [taylor]: Taking taylor expansion of 2 in n 2.576 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.576 * [taylor]: Taking taylor expansion of n in n 2.580 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 2.580 * [taylor]: Taking taylor expansion of 1/2 in n 2.580 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.580 * [taylor]: Taking taylor expansion of n in n 2.587 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 2.587 * [taylor]: Taking taylor expansion of 1/3 in n 2.587 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.588 * [taylor]: Taking taylor expansion of n in n 2.593 * [approximate]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 2.593 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.593 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.593 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.593 * [taylor]: Taking taylor expansion of 1 in n 2.593 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.593 * [taylor]: Taking taylor expansion of -1 in n 2.593 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.593 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.593 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.593 * [taylor]: Taking taylor expansion of f in n 2.593 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.593 * [taylor]: Taking taylor expansion of n in n 2.593 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.593 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.593 * [taylor]: Taking taylor expansion of f in n 2.594 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.594 * [taylor]: Taking taylor expansion of n in n 2.595 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.595 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.596 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.596 * [taylor]: Taking taylor expansion of 1 in f 2.596 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.596 * [taylor]: Taking taylor expansion of -1 in f 2.596 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.596 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.596 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.596 * [taylor]: Taking taylor expansion of f in f 2.596 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.596 * [taylor]: Taking taylor expansion of n in f 2.596 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.596 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.596 * [taylor]: Taking taylor expansion of f in f 2.596 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.596 * [taylor]: Taking taylor expansion of n in f 2.599 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.599 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.599 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.599 * [taylor]: Taking taylor expansion of 1 in f 2.599 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.599 * [taylor]: Taking taylor expansion of -1 in f 2.599 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.599 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.599 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.599 * [taylor]: Taking taylor expansion of f in f 2.599 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.599 * [taylor]: Taking taylor expansion of n in f 2.600 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.600 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.600 * [taylor]: Taking taylor expansion of f in f 2.600 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.600 * [taylor]: Taking taylor expansion of n in f 2.603 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.603 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.603 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.603 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.603 * [taylor]: Taking taylor expansion of 2 in n 2.603 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.603 * [taylor]: Taking taylor expansion of n in n 2.604 * [taylor]: Taking taylor expansion of (log f) in n 2.604 * [taylor]: Taking taylor expansion of f in n 2.609 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.609 * [taylor]: Taking taylor expansion of n in n 2.617 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 2.617 * [taylor]: Taking taylor expansion of 1/2 in n 2.617 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.617 * [taylor]: Taking taylor expansion of n in n 2.629 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 2.629 * [taylor]: Taking taylor expansion of 1/3 in n 2.629 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.629 * [taylor]: Taking taylor expansion of n in n 2.635 * [approximate]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 2.635 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.635 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.635 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.635 * [taylor]: Taking taylor expansion of 1 in n 2.635 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.635 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.635 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.635 * [taylor]: Taking taylor expansion of f in n 2.635 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.635 * [taylor]: Taking taylor expansion of n in n 2.636 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.636 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.636 * [taylor]: Taking taylor expansion of n in n 2.636 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.636 * [taylor]: Taking taylor expansion of f in n 2.637 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.637 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.637 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.637 * [taylor]: Taking taylor expansion of 1 in f 2.637 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.637 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.637 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.637 * [taylor]: Taking taylor expansion of f in f 2.638 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.638 * [taylor]: Taking taylor expansion of n in f 2.638 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.638 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.638 * [taylor]: Taking taylor expansion of n in f 2.638 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.638 * [taylor]: Taking taylor expansion of f in f 2.640 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.640 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.641 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.641 * [taylor]: Taking taylor expansion of 1 in f 2.641 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.641 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.641 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.641 * [taylor]: Taking taylor expansion of f in f 2.641 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.641 * [taylor]: Taking taylor expansion of n in f 2.641 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.641 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.641 * [taylor]: Taking taylor expansion of n in f 2.641 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.641 * [taylor]: Taking taylor expansion of f in f 2.644 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.644 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.644 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.644 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.644 * [taylor]: Taking taylor expansion of 2 in n 2.644 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.644 * [taylor]: Taking taylor expansion of n in n 2.646 * [taylor]: Taking taylor expansion of (log f) in n 2.646 * [taylor]: Taking taylor expansion of f in n 2.650 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.650 * [taylor]: Taking taylor expansion of n in n 2.660 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 2.660 * [taylor]: Taking taylor expansion of 1/2 in n 2.660 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.660 * [taylor]: Taking taylor expansion of n in n 2.672 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 2.672 * [taylor]: Taking taylor expansion of 1/3 in n 2.672 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.672 * [taylor]: Taking taylor expansion of n in n 2.677 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 2.677 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.677 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.677 * [taylor]: Taking taylor expansion of -1 in n 2.677 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.677 * [taylor]: Taking taylor expansion of (+ n f) in n 2.677 * [taylor]: Taking taylor expansion of n in n 2.677 * [taylor]: Taking taylor expansion of f in n 2.677 * [taylor]: Taking taylor expansion of (- f n) in n 2.677 * [taylor]: Taking taylor expansion of f in n 2.677 * [taylor]: Taking taylor expansion of n in n 2.678 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.678 * [taylor]: Taking taylor expansion of -1 in f 2.678 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.678 * [taylor]: Taking taylor expansion of (+ n f) in f 2.678 * [taylor]: Taking taylor expansion of n in f 2.678 * [taylor]: Taking taylor expansion of f in f 2.678 * [taylor]: Taking taylor expansion of (- f n) in f 2.678 * [taylor]: Taking taylor expansion of f in f 2.678 * [taylor]: Taking taylor expansion of n in f 2.678 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.678 * [taylor]: Taking taylor expansion of -1 in f 2.678 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.678 * [taylor]: Taking taylor expansion of (+ n f) in f 2.678 * [taylor]: Taking taylor expansion of n in f 2.678 * [taylor]: Taking taylor expansion of f in f 2.678 * [taylor]: Taking taylor expansion of (- f n) in f 2.678 * [taylor]: Taking taylor expansion of f in f 2.678 * [taylor]: Taking taylor expansion of n in f 2.679 * [taylor]: Taking taylor expansion of 1 in n 2.680 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.680 * [taylor]: Taking taylor expansion of 2 in n 2.680 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.680 * [taylor]: Taking taylor expansion of n in n 2.682 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.682 * [taylor]: Taking taylor expansion of 2 in n 2.682 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.682 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.682 * [taylor]: Taking taylor expansion of n in n 2.687 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.688 * [taylor]: Taking taylor expansion of 2 in n 2.688 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.688 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.688 * [taylor]: Taking taylor expansion of n in n 2.693 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.693 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.693 * [taylor]: Taking taylor expansion of -1 in n 2.693 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.693 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.693 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.693 * [taylor]: Taking taylor expansion of f in n 2.693 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.693 * [taylor]: Taking taylor expansion of n in n 2.693 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.694 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.694 * [taylor]: Taking taylor expansion of f in n 2.694 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.694 * [taylor]: Taking taylor expansion of n in n 2.695 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.695 * [taylor]: Taking taylor expansion of -1 in f 2.695 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.695 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.695 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.695 * [taylor]: Taking taylor expansion of f in f 2.695 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.695 * [taylor]: Taking taylor expansion of n in f 2.695 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.695 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.695 * [taylor]: Taking taylor expansion of f in f 2.695 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.696 * [taylor]: Taking taylor expansion of n in f 2.696 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.696 * [taylor]: Taking taylor expansion of -1 in f 2.696 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.696 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.696 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.696 * [taylor]: Taking taylor expansion of f in f 2.697 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.697 * [taylor]: Taking taylor expansion of n in f 2.697 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.697 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.697 * [taylor]: Taking taylor expansion of f in f 2.697 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.697 * [taylor]: Taking taylor expansion of n in f 2.698 * [taylor]: Taking taylor expansion of -1 in n 2.700 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.700 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.700 * [taylor]: Taking taylor expansion of 2 in n 2.700 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.700 * [taylor]: Taking taylor expansion of n in n 2.704 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.704 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.704 * [taylor]: Taking taylor expansion of 2 in n 2.704 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.704 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.704 * [taylor]: Taking taylor expansion of n in n 2.711 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.711 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.711 * [taylor]: Taking taylor expansion of 2 in n 2.711 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.711 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.711 * [taylor]: Taking taylor expansion of n in n 2.717 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.717 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.717 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.717 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.717 * [taylor]: Taking taylor expansion of f in n 2.717 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.717 * [taylor]: Taking taylor expansion of n in n 2.717 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.718 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.718 * [taylor]: Taking taylor expansion of n in n 2.718 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.718 * [taylor]: Taking taylor expansion of f in n 2.719 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.719 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.719 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.719 * [taylor]: Taking taylor expansion of f in f 2.719 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.719 * [taylor]: Taking taylor expansion of n in f 2.719 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.719 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.719 * [taylor]: Taking taylor expansion of n in f 2.719 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.719 * [taylor]: Taking taylor expansion of f in f 2.720 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.720 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.720 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.720 * [taylor]: Taking taylor expansion of f in f 2.721 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.721 * [taylor]: Taking taylor expansion of n in f 2.721 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.721 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.721 * [taylor]: Taking taylor expansion of n in f 2.721 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.721 * [taylor]: Taking taylor expansion of f in f 2.722 * [taylor]: Taking taylor expansion of -1 in n 2.723 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.723 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.723 * [taylor]: Taking taylor expansion of 2 in n 2.723 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.723 * [taylor]: Taking taylor expansion of n in n 2.727 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.727 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.727 * [taylor]: Taking taylor expansion of 2 in n 2.727 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.727 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.727 * [taylor]: Taking taylor expansion of n in n 2.737 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.737 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.737 * [taylor]: Taking taylor expansion of 2 in n 2.737 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.737 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.737 * [taylor]: Taking taylor expansion of n in n 2.742 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.742 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 2.742 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in n 2.742 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 2.742 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in n 2.743 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in n 2.743 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.743 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in n 2.743 * [taylor]: Taking taylor expansion of 1 in n 2.743 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.743 * [taylor]: Taking taylor expansion of -1 in n 2.743 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.743 * [taylor]: Taking taylor expansion of (+ n f) in n 2.743 * [taylor]: Taking taylor expansion of n in n 2.743 * [taylor]: Taking taylor expansion of f in n 2.743 * [taylor]: Taking taylor expansion of (- f n) in n 2.743 * [taylor]: Taking taylor expansion of f in n 2.743 * [taylor]: Taking taylor expansion of n in n 2.746 * [taylor]: Taking taylor expansion of 1 in n 2.746 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in f 2.746 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 2.746 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in f 2.746 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 2.746 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.746 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 2.746 * [taylor]: Taking taylor expansion of 1 in f 2.746 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.746 * [taylor]: Taking taylor expansion of -1 in f 2.746 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.746 * [taylor]: Taking taylor expansion of (+ n f) in f 2.746 * [taylor]: Taking taylor expansion of n in f 2.746 * [taylor]: Taking taylor expansion of f in f 2.746 * [taylor]: Taking taylor expansion of (- f n) in f 2.746 * [taylor]: Taking taylor expansion of f in f 2.746 * [taylor]: Taking taylor expansion of n in f 2.747 * [taylor]: Taking taylor expansion of 1 in f 2.747 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in f 2.747 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 2.747 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in f 2.747 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 2.747 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.747 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 2.747 * [taylor]: Taking taylor expansion of 1 in f 2.747 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.747 * [taylor]: Taking taylor expansion of -1 in f 2.748 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.748 * [taylor]: Taking taylor expansion of (+ n f) in f 2.748 * [taylor]: Taking taylor expansion of n in f 2.748 * [taylor]: Taking taylor expansion of f in f 2.748 * [taylor]: Taking taylor expansion of (- f n) in f 2.748 * [taylor]: Taking taylor expansion of f in f 2.748 * [taylor]: Taking taylor expansion of n in f 2.749 * [taylor]: Taking taylor expansion of 1 in f 2.749 * [taylor]: Taking taylor expansion of 1 in n 2.753 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.753 * [taylor]: Taking taylor expansion of 2 in n 2.753 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.753 * [taylor]: Taking taylor expansion of n in n 2.757 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.757 * [taylor]: Taking taylor expansion of 2 in n 2.757 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.757 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.757 * [taylor]: Taking taylor expansion of n in n 2.766 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.766 * [taylor]: Taking taylor expansion of 2 in n 2.766 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.766 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.766 * [taylor]: Taking taylor expansion of n in n 2.771 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 2.771 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 2.772 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 2.772 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 2.772 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.772 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.772 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.772 * [taylor]: Taking taylor expansion of 1 in n 2.772 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.772 * [taylor]: Taking taylor expansion of -1 in n 2.772 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.772 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.772 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.772 * [taylor]: Taking taylor expansion of f in n 2.772 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.772 * [taylor]: Taking taylor expansion of n in n 2.772 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.772 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.772 * [taylor]: Taking taylor expansion of f in n 2.772 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.772 * [taylor]: Taking taylor expansion of n in n 2.775 * [taylor]: Taking taylor expansion of 1 in n 2.775 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.775 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 2.775 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.775 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.775 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.775 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.775 * [taylor]: Taking taylor expansion of 1 in f 2.775 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.775 * [taylor]: Taking taylor expansion of -1 in f 2.775 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.775 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.775 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.775 * [taylor]: Taking taylor expansion of f in f 2.775 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.775 * [taylor]: Taking taylor expansion of n in f 2.775 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.776 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.776 * [taylor]: Taking taylor expansion of f in f 2.776 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.776 * [taylor]: Taking taylor expansion of n in f 2.779 * [taylor]: Taking taylor expansion of 1 in f 2.779 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.779 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 2.780 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.780 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.780 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.780 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.780 * [taylor]: Taking taylor expansion of 1 in f 2.780 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.780 * [taylor]: Taking taylor expansion of -1 in f 2.780 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.780 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.780 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.780 * [taylor]: Taking taylor expansion of f in f 2.780 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.780 * [taylor]: Taking taylor expansion of n in f 2.780 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.780 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.780 * [taylor]: Taking taylor expansion of f in f 2.780 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.780 * [taylor]: Taking taylor expansion of n in f 2.784 * [taylor]: Taking taylor expansion of 1 in f 2.784 * [taylor]: Taking taylor expansion of (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) in n 2.784 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.784 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.784 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.784 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.784 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.784 * [taylor]: Taking taylor expansion of 2 in n 2.784 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.784 * [taylor]: Taking taylor expansion of n in n 2.785 * [taylor]: Taking taylor expansion of (log f) in n 2.785 * [taylor]: Taking taylor expansion of f in n 2.787 * [taylor]: Taking taylor expansion of 1 in n 2.792 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) in n 2.792 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.792 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.792 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.792 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.792 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.792 * [taylor]: Taking taylor expansion of 2 in n 2.792 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.792 * [taylor]: Taking taylor expansion of n in n 2.793 * [taylor]: Taking taylor expansion of (log f) in n 2.793 * [taylor]: Taking taylor expansion of f in n 2.794 * [taylor]: Taking taylor expansion of n in n 2.808 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) in n 2.808 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.808 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.808 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.808 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.808 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.808 * [taylor]: Taking taylor expansion of 2 in n 2.808 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.808 * [taylor]: Taking taylor expansion of n in n 2.809 * [taylor]: Taking taylor expansion of (log f) in n 2.809 * [taylor]: Taking taylor expansion of f in n 2.810 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.810 * [taylor]: Taking taylor expansion of n in n 2.844 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) in n 2.844 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.844 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.844 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.844 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.844 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.844 * [taylor]: Taking taylor expansion of 2 in n 2.844 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.844 * [taylor]: Taking taylor expansion of n in n 2.846 * [taylor]: Taking taylor expansion of (log f) in n 2.846 * [taylor]: Taking taylor expansion of f in n 2.847 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.847 * [taylor]: Taking taylor expansion of n in n 2.871 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 2.871 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 2.872 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 2.872 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 2.872 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.872 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.872 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.872 * [taylor]: Taking taylor expansion of 1 in n 2.872 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.872 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.872 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.872 * [taylor]: Taking taylor expansion of f in n 2.872 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.872 * [taylor]: Taking taylor expansion of n in n 2.872 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.872 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.872 * [taylor]: Taking taylor expansion of n in n 2.872 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.872 * [taylor]: Taking taylor expansion of f in n 2.874 * [taylor]: Taking taylor expansion of 1 in n 2.874 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.874 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 2.874 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.874 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.874 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.874 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.874 * [taylor]: Taking taylor expansion of 1 in f 2.875 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.875 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.875 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.875 * [taylor]: Taking taylor expansion of f in f 2.875 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.875 * [taylor]: Taking taylor expansion of n in f 2.875 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.875 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.875 * [taylor]: Taking taylor expansion of n in f 2.875 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.875 * [taylor]: Taking taylor expansion of f in f 2.879 * [taylor]: Taking taylor expansion of 1 in f 2.879 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.879 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 2.879 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.879 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.879 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.879 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.879 * [taylor]: Taking taylor expansion of 1 in f 2.879 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.879 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.879 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.879 * [taylor]: Taking taylor expansion of f in f 2.879 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.879 * [taylor]: Taking taylor expansion of n in f 2.879 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.879 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.879 * [taylor]: Taking taylor expansion of n in f 2.879 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.880 * [taylor]: Taking taylor expansion of f in f 2.883 * [taylor]: Taking taylor expansion of 1 in f 2.884 * [taylor]: Taking taylor expansion of (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) in n 2.884 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.884 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.884 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.884 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.884 * [taylor]: Taking taylor expansion of 2 in n 2.884 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.884 * [taylor]: Taking taylor expansion of n in n 2.885 * [taylor]: Taking taylor expansion of (log f) in n 2.885 * [taylor]: Taking taylor expansion of f in n 2.886 * [taylor]: Taking taylor expansion of 1 in n 2.891 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) in n 2.891 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.891 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.891 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.891 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.891 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.891 * [taylor]: Taking taylor expansion of 2 in n 2.891 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.891 * [taylor]: Taking taylor expansion of n in n 2.892 * [taylor]: Taking taylor expansion of (log f) in n 2.892 * [taylor]: Taking taylor expansion of f in n 2.893 * [taylor]: Taking taylor expansion of n in n 2.909 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) in n 2.909 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.909 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.909 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.909 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.909 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.909 * [taylor]: Taking taylor expansion of 2 in n 2.909 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.909 * [taylor]: Taking taylor expansion of n in n 2.910 * [taylor]: Taking taylor expansion of (log f) in n 2.910 * [taylor]: Taking taylor expansion of f in n 2.911 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.911 * [taylor]: Taking taylor expansion of n in n 2.943 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) in n 2.943 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.943 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.943 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.943 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.943 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.943 * [taylor]: Taking taylor expansion of 2 in n 2.943 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.943 * [taylor]: Taking taylor expansion of n in n 2.944 * [taylor]: Taking taylor expansion of (log f) in n 2.944 * [taylor]: Taking taylor expansion of f in n 2.945 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.945 * [taylor]: Taking taylor expansion of n in n 2.969 * * * [progress]: simplifying candidates 2.972 * [simplify]: Simplifying using # : (+ 1 (/ (- (+ f n)) (- f n))) (expm1 (log1p (/ (- (+ f n)) (- f n)))) (log1p (log1p (/ (- (+ f n)) (- f n)))) (log (log1p (/ (- (+ f n)) (- f n)))) (exp (log1p (/ (- (+ f n)) (- f n)))) (* (cbrt (log1p (/ (- (+ f n)) (- f n)))) (cbrt (log1p (/ (- (+ f n)) (- f n))))) (cbrt (log1p (/ (- (+ f n)) (- f n)))) (* (* (log1p (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n)))) (log1p (/ (- (+ f n)) (- f n)))) (sqrt (log1p (/ (- (+ f n)) (- f n)))) (sqrt (log1p (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (exp (log1p (/ (- (+ f n)) (- f n)))) (expm1 (expm1 (log1p (/ (- (+ f n)) (- f n))))) (log1p (expm1 (log1p (/ (- (+ f n)) (- f n))))) (log (expm1 (log1p (/ (- (+ f n)) (- f n))))) (exp (expm1 (log1p (/ (- (+ f n)) (- f n))))) (* (cbrt (expm1 (log1p (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (log1p (/ (- (+ f n)) (- f n)))))) (cbrt (expm1 (log1p (/ (- (+ f n)) (- f n))))) (* (* (expm1 (log1p (/ (- (+ f n)) (- f n)))) (expm1 (log1p (/ (- (+ f n)) (- f n))))) (expm1 (log1p (/ (- (+ f n)) (- f n))))) (sqrt (expm1 (log1p (/ (- (+ f n)) (- f n))))) (sqrt (expm1 (log1p (/ (- (+ f n)) (- f n))))) (log 2) (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n))) (- (+ (log -2) (log (/ -1 f))) (log (/ -1 n))) 1 -1 -1 1 (- (exp (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n)))) 1) (- (exp (- (+ (log -2) (log (/ -1 f))) (log (/ -1 n)))) 1) 2.978 * * [simplify]: iteration 0 : 364 enodes (cost 946 ) 2.983 * * [simplify]: iteration 1 : 1083 enodes (cost 907 ) 2.998 * * [simplify]: iteration 2 : 3442 enodes (cost 885 ) 3.038 * * [simplify]: iteration 3 : 5001 enodes (cost 884 ) 3.043 * [simplify]: Simplified to: (- 1 (/ (+ f n) (- f n))) (/ (- (+ f n)) (- f n)) (log1p (log1p (/ (- (+ f n)) (- f n)))) (log (log1p (/ (- (+ f n)) (- f n)))) (exp (log1p (/ (- (+ f n)) (- f n)))) (* (cbrt (log1p (/ (- (+ f n)) (- f n)))) (cbrt (log1p (/ (- (+ f n)) (- f n))))) (cbrt (log1p (/ (- (+ f n)) (- f n)))) (pow (log1p (/ (- (+ f n)) (- f n))) 3) (sqrt (log1p (/ (- (+ f n)) (- f n)))) (sqrt (log1p (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ f n) (- n f) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (fma f f (- (* n n) (* f n))) (- f n)) (* (- f n) (- f n)) (exp (log1p (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (log 2) (+ (log n) (- (log -2) (log f))) (- (+ (log -2) (log (/ -1 f))) (log (/ -1 n))) 1 -1 -1 1 (fma (/ 1 f) (* -2 n) -1) (+ (/ (/ -1 f) (/ (/ -1 n) -2)) -1) 3.043 * * * [progress]: adding candidates to table 3.293 * [progress]: [Phase 3 of 3] Extracting. 3.293 * * [regime]: Finding splitpoints for: (# # #) 3.294 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 3.294 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 3.310 * * * * [regimes]: Trying to branch on n from (# # #) 3.323 * * * * [regimes]: Trying to branch on f from (# # #) 3.336 * * * [regime]: Found split indices: #