0.870 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.266 * * * [progress]: [2/2] Setting up program. 0.268 * [progress]: [Phase 2 of 3] Improving. 0.271 * [simplify]: Simplifying using # : (/ (- (+ f n)) (- f n)) 0.275 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.276 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.277 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.279 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.280 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.281 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.283 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.283 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.285 * * [progress]: iteration 1 / 4 0.285 * * * [progress]: picking best candidate 0.286 * * * * [pick]: Picked # 0.286 * * * [progress]: localizing error 0.294 * * * [progress]: generating rewritten candidates 0.295 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.312 * * * [progress]: generating series expansions 0.312 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.317 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.318 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.318 * [taylor]: Taking taylor expansion of -1 in n 0.318 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.318 * [taylor]: Taking taylor expansion of (+ n f) in n 0.318 * [taylor]: Taking taylor expansion of n in n 0.318 * [taylor]: Taking taylor expansion of f in n 0.318 * [taylor]: Taking taylor expansion of (- f n) in n 0.318 * [taylor]: Taking taylor expansion of f in n 0.318 * [taylor]: Taking taylor expansion of n in n 0.319 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.319 * [taylor]: Taking taylor expansion of -1 in f 0.319 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.319 * [taylor]: Taking taylor expansion of (+ n f) in f 0.319 * [taylor]: Taking taylor expansion of n in f 0.319 * [taylor]: Taking taylor expansion of f in f 0.319 * [taylor]: Taking taylor expansion of (- f n) in f 0.319 * [taylor]: Taking taylor expansion of f in f 0.319 * [taylor]: Taking taylor expansion of n in f 0.319 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.319 * [taylor]: Taking taylor expansion of -1 in f 0.319 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.319 * [taylor]: Taking taylor expansion of (+ n f) in f 0.319 * [taylor]: Taking taylor expansion of n in f 0.319 * [taylor]: Taking taylor expansion of f in f 0.319 * [taylor]: Taking taylor expansion of (- f n) in f 0.319 * [taylor]: Taking taylor expansion of f in f 0.319 * [taylor]: Taking taylor expansion of n in f 0.320 * [taylor]: Taking taylor expansion of 1 in n 0.322 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.322 * [taylor]: Taking taylor expansion of 2 in n 0.322 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.322 * [taylor]: Taking taylor expansion of n in n 0.326 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.326 * [taylor]: Taking taylor expansion of 2 in n 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.326 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.326 * [taylor]: Taking taylor expansion of n in n 0.331 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.331 * [taylor]: Taking taylor expansion of 2 in n 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.331 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.337 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.337 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.337 * [taylor]: Taking taylor expansion of -1 in n 0.337 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.337 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.337 * [taylor]: Taking taylor expansion of f in n 0.337 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.337 * [taylor]: Taking taylor expansion of n in n 0.338 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.338 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.338 * [taylor]: Taking taylor expansion of f in n 0.338 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.338 * [taylor]: Taking taylor expansion of n in n 0.339 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.339 * [taylor]: Taking taylor expansion of -1 in f 0.339 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.339 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.339 * [taylor]: Taking taylor expansion of f in f 0.339 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.339 * [taylor]: Taking taylor expansion of n in f 0.340 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.340 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.340 * [taylor]: Taking taylor expansion of f in f 0.340 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.340 * [taylor]: Taking taylor expansion of n in f 0.341 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.341 * [taylor]: Taking taylor expansion of -1 in f 0.341 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.341 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.341 * [taylor]: Taking taylor expansion of f in f 0.341 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.341 * [taylor]: Taking taylor expansion of n in f 0.341 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.341 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.341 * [taylor]: Taking taylor expansion of f in f 0.341 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.341 * [taylor]: Taking taylor expansion of n in f 0.342 * [taylor]: Taking taylor expansion of -1 in n 0.344 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.344 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.344 * [taylor]: Taking taylor expansion of 2 in n 0.344 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.344 * [taylor]: Taking taylor expansion of n in n 0.348 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.348 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.348 * [taylor]: Taking taylor expansion of 2 in n 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.348 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.348 * [taylor]: Taking taylor expansion of n in n 0.356 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.356 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.356 * [taylor]: Taking taylor expansion of 2 in n 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.356 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.356 * [taylor]: Taking taylor expansion of n in n 0.370 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.371 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.371 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.371 * [taylor]: Taking taylor expansion of f in n 0.371 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.371 * [taylor]: Taking taylor expansion of n in n 0.371 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.371 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.371 * [taylor]: Taking taylor expansion of n in n 0.371 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.371 * [taylor]: Taking taylor expansion of f in n 0.372 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.372 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.372 * [taylor]: Taking taylor expansion of f in f 0.372 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.372 * [taylor]: Taking taylor expansion of n in f 0.372 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.372 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.372 * [taylor]: Taking taylor expansion of n in f 0.372 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.372 * [taylor]: Taking taylor expansion of f in f 0.374 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.374 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.374 * [taylor]: Taking taylor expansion of f in f 0.374 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.374 * [taylor]: Taking taylor expansion of n in f 0.374 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.374 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.374 * [taylor]: Taking taylor expansion of n in f 0.374 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.374 * [taylor]: Taking taylor expansion of f in f 0.375 * [taylor]: Taking taylor expansion of -1 in n 0.377 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.377 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.377 * [taylor]: Taking taylor expansion of 2 in n 0.377 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.377 * [taylor]: Taking taylor expansion of n in n 0.380 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.380 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.380 * [taylor]: Taking taylor expansion of 2 in n 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.380 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.380 * [taylor]: Taking taylor expansion of n in n 0.387 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.387 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.387 * [taylor]: Taking taylor expansion of 2 in n 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.387 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.387 * [taylor]: Taking taylor expansion of n in n 0.393 * * * [progress]: simplifying candidates 0.394 * [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 0.399 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.404 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.418 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 0.456 * * [simplify]: iteration 3 : 5001 enodes (cost 743 ) 0.461 * [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 0.461 * * * [progress]: adding candidates to table 0.612 * * [progress]: iteration 2 / 4 0.612 * * * [progress]: picking best candidate 0.617 * * * * [pick]: Picked # 0.617 * * * [progress]: localizing error 0.626 * * * [progress]: generating rewritten candidates 0.626 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.627 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.628 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.642 * * * [progress]: generating series expansions 0.642 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.642 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 0.642 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 0.643 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.643 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 0.643 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.643 * [taylor]: Taking taylor expansion of -1 in n 0.644 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.644 * [taylor]: Taking taylor expansion of (+ n f) in n 0.644 * [taylor]: Taking taylor expansion of n in n 0.644 * [taylor]: Taking taylor expansion of f in n 0.644 * [taylor]: Taking taylor expansion of (- f n) in n 0.644 * [taylor]: Taking taylor expansion of f in n 0.644 * [taylor]: Taking taylor expansion of n in n 0.645 * [taylor]: Taking taylor expansion of 1 in n 0.645 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.645 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.645 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.645 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.645 * [taylor]: Taking taylor expansion of -1 in f 0.645 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.645 * [taylor]: Taking taylor expansion of (+ n f) in f 0.645 * [taylor]: Taking taylor expansion of n in f 0.645 * [taylor]: Taking taylor expansion of f in f 0.645 * [taylor]: Taking taylor expansion of (- f n) in f 0.645 * [taylor]: Taking taylor expansion of f in f 0.645 * [taylor]: Taking taylor expansion of n in f 0.645 * [taylor]: Taking taylor expansion of 1 in f 0.645 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.645 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.645 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.645 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.645 * [taylor]: Taking taylor expansion of -1 in f 0.645 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.645 * [taylor]: Taking taylor expansion of (+ n f) in f 0.645 * [taylor]: Taking taylor expansion of n in f 0.646 * [taylor]: Taking taylor expansion of f in f 0.646 * [taylor]: Taking taylor expansion of (- f n) in f 0.646 * [taylor]: Taking taylor expansion of f in f 0.646 * [taylor]: Taking taylor expansion of n in f 0.646 * [taylor]: Taking taylor expansion of 1 in f 0.646 * [taylor]: Taking taylor expansion of (- E 1) in n 0.647 * [taylor]: Taking taylor expansion of E in n 0.647 * [taylor]: Taking taylor expansion of 1 in n 0.649 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 0.649 * [taylor]: Taking taylor expansion of 2 in n 0.649 * [taylor]: Taking taylor expansion of (/ E n) in n 0.649 * [taylor]: Taking taylor expansion of E in n 0.649 * [taylor]: Taking taylor expansion of n in n 0.653 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 0.653 * [taylor]: Taking taylor expansion of 4 in n 0.653 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 0.653 * [taylor]: Taking taylor expansion of E in n 0.653 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.653 * [taylor]: Taking taylor expansion of n in n 0.660 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 0.660 * [taylor]: Taking taylor expansion of 22/3 in n 0.660 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 0.660 * [taylor]: Taking taylor expansion of E in n 0.660 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.660 * [taylor]: Taking taylor expansion of n in n 0.667 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 0.667 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.667 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.667 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.667 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.667 * [taylor]: Taking taylor expansion of -1 in n 0.667 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.667 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.667 * [taylor]: Taking taylor expansion of f in n 0.667 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.667 * [taylor]: Taking taylor expansion of n in n 0.667 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.667 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.667 * [taylor]: Taking taylor expansion of f in n 0.667 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.667 * [taylor]: Taking taylor expansion of n in n 0.673 * [taylor]: Taking taylor expansion of 1 in n 0.673 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.673 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.673 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.673 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.673 * [taylor]: Taking taylor expansion of -1 in f 0.673 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.673 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.673 * [taylor]: Taking taylor expansion of f in f 0.673 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.673 * [taylor]: Taking taylor expansion of n in f 0.673 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.673 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.673 * [taylor]: Taking taylor expansion of f in f 0.673 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.674 * [taylor]: Taking taylor expansion of n in f 0.675 * [taylor]: Taking taylor expansion of 1 in f 0.675 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.675 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.675 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.675 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.675 * [taylor]: Taking taylor expansion of -1 in f 0.675 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.675 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.675 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.675 * [taylor]: Taking taylor expansion of f in f 0.675 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.675 * [taylor]: Taking taylor expansion of n in f 0.675 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.675 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.675 * [taylor]: Taking taylor expansion of f in f 0.676 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.676 * [taylor]: Taking taylor expansion of n in f 0.677 * [taylor]: Taking taylor expansion of 1 in f 0.678 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 0.678 * [taylor]: Taking taylor expansion of (exp -1) in n 0.678 * [taylor]: Taking taylor expansion of -1 in n 0.678 * [taylor]: Taking taylor expansion of 1 in n 0.682 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 0.682 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 0.682 * [taylor]: Taking taylor expansion of 2 in n 0.682 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 0.682 * [taylor]: Taking taylor expansion of (exp -1) in n 0.682 * [taylor]: Taking taylor expansion of -1 in n 0.682 * [taylor]: Taking taylor expansion of n in n 0.689 * [taylor]: Taking taylor expansion of 0 in n 0.697 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 0.698 * [taylor]: Taking taylor expansion of 2/3 in n 0.698 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 0.698 * [taylor]: Taking taylor expansion of (exp -1) in n 0.698 * [taylor]: Taking taylor expansion of -1 in n 0.698 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.698 * [taylor]: Taking taylor expansion of n in n 0.707 * [approximate]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 0.707 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.707 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.707 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.707 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.707 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.707 * [taylor]: Taking taylor expansion of f in n 0.707 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.707 * [taylor]: Taking taylor expansion of n in n 0.708 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.708 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.708 * [taylor]: Taking taylor expansion of n in n 0.708 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.708 * [taylor]: Taking taylor expansion of f in n 0.709 * [taylor]: Taking taylor expansion of 1 in n 0.709 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.709 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.709 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.709 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.709 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.709 * [taylor]: Taking taylor expansion of f in f 0.709 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.709 * [taylor]: Taking taylor expansion of n in f 0.709 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.709 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.709 * [taylor]: Taking taylor expansion of n in f 0.709 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.709 * [taylor]: Taking taylor expansion of f in f 0.711 * [taylor]: Taking taylor expansion of 1 in f 0.711 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.711 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.711 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.711 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.711 * [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 0.711 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.711 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.711 * [taylor]: Taking taylor expansion of n in f 0.711 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.711 * [taylor]: Taking taylor expansion of f in f 0.713 * [taylor]: Taking taylor expansion of 1 in f 0.714 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 0.714 * [taylor]: Taking taylor expansion of (exp -1) in n 0.714 * [taylor]: Taking taylor expansion of -1 in n 0.714 * [taylor]: Taking taylor expansion of 1 in n 0.717 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 0.717 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 0.717 * [taylor]: Taking taylor expansion of 2 in n 0.717 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 0.717 * [taylor]: Taking taylor expansion of (exp -1) in n 0.717 * [taylor]: Taking taylor expansion of -1 in n 0.718 * [taylor]: Taking taylor expansion of n in n 0.724 * [taylor]: Taking taylor expansion of 0 in n 0.732 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 0.732 * [taylor]: Taking taylor expansion of 2/3 in n 0.732 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 0.732 * [taylor]: Taking taylor expansion of (exp -1) in n 0.732 * [taylor]: Taking taylor expansion of -1 in n 0.733 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.733 * [taylor]: Taking taylor expansion of n in n 0.741 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.742 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 0.742 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in n 0.742 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 0.742 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in n 0.742 * [taylor]: Taking taylor expansion of 1 in n 0.742 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 0.742 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.742 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 0.742 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.742 * [taylor]: Taking taylor expansion of -1 in n 0.742 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.742 * [taylor]: Taking taylor expansion of (+ n f) in n 0.742 * [taylor]: Taking taylor expansion of n in n 0.742 * [taylor]: Taking taylor expansion of f in n 0.742 * [taylor]: Taking taylor expansion of (- f n) in n 0.742 * [taylor]: Taking taylor expansion of f in n 0.742 * [taylor]: Taking taylor expansion of n in n 0.743 * [taylor]: Taking taylor expansion of 1 in n 0.745 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.745 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 0.745 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.745 * [taylor]: Taking taylor expansion of 1 in f 0.745 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.745 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.745 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.745 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.745 * [taylor]: Taking taylor expansion of -1 in f 0.745 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.745 * [taylor]: Taking taylor expansion of (+ n f) in f 0.745 * [taylor]: Taking taylor expansion of n in f 0.745 * [taylor]: Taking taylor expansion of f in f 0.745 * [taylor]: Taking taylor expansion of (- f n) in f 0.745 * [taylor]: Taking taylor expansion of f in f 0.745 * [taylor]: Taking taylor expansion of n in f 0.746 * [taylor]: Taking taylor expansion of 1 in f 0.747 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.747 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 0.747 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.747 * [taylor]: Taking taylor expansion of 1 in f 0.747 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.747 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.747 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.747 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.747 * [taylor]: Taking taylor expansion of -1 in f 0.747 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.747 * [taylor]: Taking taylor expansion of (+ n f) in f 0.747 * [taylor]: Taking taylor expansion of n in f 0.747 * [taylor]: Taking taylor expansion of f in f 0.747 * [taylor]: Taking taylor expansion of (- f n) in f 0.747 * [taylor]: Taking taylor expansion of f in f 0.747 * [taylor]: Taking taylor expansion of n in f 0.748 * [taylor]: Taking taylor expansion of 1 in f 0.749 * [taylor]: Taking taylor expansion of 1 in n 0.754 * [taylor]: Taking taylor expansion of (/ 2 n) in n 0.754 * [taylor]: Taking taylor expansion of 2 in n 0.754 * [taylor]: Taking taylor expansion of n in n 0.758 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 0.759 * [taylor]: Taking taylor expansion of 2 in n 0.759 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.759 * [taylor]: Taking taylor expansion of n in n 0.766 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 0.766 * [taylor]: Taking taylor expansion of 2 in n 0.766 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.766 * [taylor]: Taking taylor expansion of n in n 0.771 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 0.771 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 0.771 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 0.771 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 0.771 * [taylor]: Taking taylor expansion of 1 in n 0.771 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.772 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.772 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.772 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.772 * [taylor]: Taking taylor expansion of -1 in n 0.772 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.772 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.772 * [taylor]: Taking taylor expansion of f in n 0.772 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.772 * [taylor]: Taking taylor expansion of n in n 0.772 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.772 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.772 * [taylor]: Taking taylor expansion of f in n 0.772 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.772 * [taylor]: Taking taylor expansion of n in n 0.774 * [taylor]: Taking taylor expansion of 1 in n 0.775 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.775 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 0.775 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.775 * [taylor]: Taking taylor expansion of 1 in f 0.775 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.775 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.775 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.775 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.775 * [taylor]: Taking taylor expansion of -1 in f 0.775 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.775 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.775 * [taylor]: Taking taylor expansion of f in f 0.775 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.775 * [taylor]: Taking taylor expansion of n in f 0.775 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.775 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.775 * [taylor]: Taking taylor expansion of f in f 0.776 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.776 * [taylor]: Taking taylor expansion of n in f 0.777 * [taylor]: Taking taylor expansion of 1 in f 0.779 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.779 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 0.779 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.779 * [taylor]: Taking taylor expansion of 1 in f 0.779 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.779 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.779 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.779 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.779 * [taylor]: Taking taylor expansion of -1 in f 0.779 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.779 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.779 * [taylor]: Taking taylor expansion of f in f 0.780 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.780 * [taylor]: Taking taylor expansion of n in f 0.780 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.780 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.780 * [taylor]: Taking taylor expansion of f in f 0.780 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.780 * [taylor]: Taking taylor expansion of n in f 0.781 * [taylor]: Taking taylor expansion of 1 in f 0.783 * [taylor]: Taking taylor expansion of -1 in n 0.787 * [taylor]: Taking taylor expansion of (/ -2 n) in n 0.787 * [taylor]: Taking taylor expansion of -2 in n 0.787 * [taylor]: Taking taylor expansion of n in n 0.793 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 0.793 * [taylor]: Taking taylor expansion of -2 in n 0.794 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.794 * [taylor]: Taking taylor expansion of n in n 0.805 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 0.805 * [taylor]: Taking taylor expansion of -2 in n 0.805 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.805 * [taylor]: Taking taylor expansion of n in n 0.810 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 0.810 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 0.810 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 0.810 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 0.810 * [taylor]: Taking taylor expansion of 1 in n 0.810 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.810 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.810 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.810 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.810 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.810 * [taylor]: Taking taylor expansion of f in n 0.810 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.810 * [taylor]: Taking taylor expansion of n in n 0.811 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.811 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.811 * [taylor]: Taking taylor expansion of n in n 0.811 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.811 * [taylor]: Taking taylor expansion of f in n 0.812 * [taylor]: Taking taylor expansion of 1 in n 0.813 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 0.813 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 0.813 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 0.813 * [taylor]: Taking taylor expansion of 1 in f 0.813 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.813 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.813 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.813 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.813 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.813 * [taylor]: Taking taylor expansion of f in f 0.813 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.813 * [taylor]: Taking taylor expansion of n in f 0.813 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.814 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.814 * [taylor]: Taking taylor expansion of n in f 0.814 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.814 * [taylor]: Taking taylor expansion of f in f 0.815 * [taylor]: Taking taylor expansion of 1 in f 0.817 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 0.817 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 0.817 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 0.817 * [taylor]: Taking taylor expansion of 1 in f 0.817 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.817 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.817 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.817 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.817 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.817 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.817 * [taylor]: Taking taylor expansion of f in f 0.818 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.818 * [taylor]: Taking taylor expansion of n in f 0.818 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.818 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.818 * [taylor]: Taking taylor expansion of n in f 0.818 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.818 * [taylor]: Taking taylor expansion of f in f 0.819 * [taylor]: Taking taylor expansion of 1 in f 0.821 * [taylor]: Taking taylor expansion of -1 in n 0.825 * [taylor]: Taking taylor expansion of (/ -2 n) in n 0.825 * [taylor]: Taking taylor expansion of -2 in n 0.825 * [taylor]: Taking taylor expansion of n in n 0.831 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 0.831 * [taylor]: Taking taylor expansion of -2 in n 0.831 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.831 * [taylor]: Taking taylor expansion of n in n 0.845 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 0.845 * [taylor]: Taking taylor expansion of -2 in n 0.845 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.845 * [taylor]: Taking taylor expansion of n in n 0.850 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.850 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.850 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.850 * [taylor]: Taking taylor expansion of -1 in n 0.850 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.850 * [taylor]: Taking taylor expansion of (+ n f) in n 0.850 * [taylor]: Taking taylor expansion of n in n 0.850 * [taylor]: Taking taylor expansion of f in n 0.850 * [taylor]: Taking taylor expansion of (- f n) in n 0.850 * [taylor]: Taking taylor expansion of f in n 0.850 * [taylor]: Taking taylor expansion of n in n 0.851 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.851 * [taylor]: Taking taylor expansion of -1 in f 0.851 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.851 * [taylor]: Taking taylor expansion of (+ n f) in f 0.851 * [taylor]: Taking taylor expansion of n in f 0.851 * [taylor]: Taking taylor expansion of f in f 0.851 * [taylor]: Taking taylor expansion of (- f n) in f 0.851 * [taylor]: Taking taylor expansion of f in f 0.851 * [taylor]: Taking taylor expansion of n in f 0.851 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.851 * [taylor]: Taking taylor expansion of -1 in f 0.851 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.851 * [taylor]: Taking taylor expansion of (+ n f) in f 0.851 * [taylor]: Taking taylor expansion of n in f 0.851 * [taylor]: Taking taylor expansion of f in f 0.851 * [taylor]: Taking taylor expansion of (- f n) in f 0.851 * [taylor]: Taking taylor expansion of f in f 0.851 * [taylor]: Taking taylor expansion of n in f 0.851 * [taylor]: Taking taylor expansion of 1 in n 0.852 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.852 * [taylor]: Taking taylor expansion of 2 in n 0.852 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.852 * [taylor]: Taking taylor expansion of n in n 0.855 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.855 * [taylor]: Taking taylor expansion of 2 in n 0.855 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.855 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.855 * [taylor]: Taking taylor expansion of n in n 0.860 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.860 * [taylor]: Taking taylor expansion of 2 in n 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.860 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.860 * [taylor]: Taking taylor expansion of n in n 0.866 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.866 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.866 * [taylor]: Taking taylor expansion of -1 in n 0.866 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.866 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.866 * [taylor]: Taking taylor expansion of f in n 0.866 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.866 * [taylor]: Taking taylor expansion of n in n 0.866 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.866 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.866 * [taylor]: Taking taylor expansion of f in n 0.866 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.866 * [taylor]: Taking taylor expansion of n in n 0.868 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.868 * [taylor]: Taking taylor expansion of -1 in f 0.868 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.868 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.868 * [taylor]: Taking taylor expansion of f in f 0.868 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.868 * [taylor]: Taking taylor expansion of n in f 0.868 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.868 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.868 * [taylor]: Taking taylor expansion of f in f 0.868 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.868 * [taylor]: Taking taylor expansion of n in f 0.869 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.869 * [taylor]: Taking taylor expansion of -1 in f 0.869 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.869 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.869 * [taylor]: Taking taylor expansion of f in f 0.869 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.869 * [taylor]: Taking taylor expansion of n in f 0.869 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.869 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.869 * [taylor]: Taking taylor expansion of f in f 0.870 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.870 * [taylor]: Taking taylor expansion of n in f 0.871 * [taylor]: Taking taylor expansion of -1 in n 0.872 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.872 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.872 * [taylor]: Taking taylor expansion of 2 in n 0.872 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.872 * [taylor]: Taking taylor expansion of n in n 0.876 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.876 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.876 * [taylor]: Taking taylor expansion of 2 in n 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.876 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.876 * [taylor]: Taking taylor expansion of n in n 0.884 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.884 * [taylor]: Taking taylor expansion of 2 in n 0.884 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.884 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.884 * [taylor]: Taking taylor expansion of n in n 0.889 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.889 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.889 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.889 * [taylor]: Taking taylor expansion of f in n 0.889 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.889 * [taylor]: Taking taylor expansion of n in n 0.890 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.890 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.890 * [taylor]: Taking taylor expansion of n in n 0.890 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.890 * [taylor]: Taking taylor expansion of f in n 0.891 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.891 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.891 * [taylor]: Taking taylor expansion of f in f 0.891 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.891 * [taylor]: Taking taylor expansion of n in f 0.891 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.891 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.891 * [taylor]: Taking taylor expansion of n in f 0.891 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.891 * [taylor]: Taking taylor expansion of f in f 0.892 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.893 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.893 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.893 * [taylor]: Taking taylor expansion of f in f 0.893 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.893 * [taylor]: Taking taylor expansion of n in f 0.893 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.893 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.893 * [taylor]: Taking taylor expansion of n in f 0.893 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.893 * [taylor]: Taking taylor expansion of f in f 0.894 * [taylor]: Taking taylor expansion of -1 in n 0.895 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.895 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.895 * [taylor]: Taking taylor expansion of 2 in n 0.895 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.895 * [taylor]: Taking taylor expansion of n in n 0.899 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.899 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.899 * [taylor]: Taking taylor expansion of 2 in n 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.899 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.899 * [taylor]: Taking taylor expansion of n in n 0.906 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.906 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.906 * [taylor]: Taking taylor expansion of 2 in n 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.906 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.906 * [taylor]: Taking taylor expansion of n in n 0.912 * * * [progress]: simplifying candidates 0.914 * [simplify]: Simplifying using # : (exp (/ (- (+ f n)) (- f n))) (expm1 (expm1 (/ (- (+ f n)) (- f n)))) (log1p (expm1 (/ (- (+ f n)) (- f n)))) (log (expm1 (/ (- (+ f n)) (- f n)))) (exp (expm1 (/ (- (+ f n)) (- f n)))) (* (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (cbrt (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (* (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (+ 1 (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log1p (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log (log1p (expm1 (/ (- (+ f n)) (- f n))))) (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))) (* (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n)))))) (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (* (* (log1p (expm1 (/ (- (+ f n)) (- f n)))) (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log1p (expm1 (/ (- (+ f n)) (- f n))))) (sqrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (sqrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (- E 1) (- (exp -1) 1) (- (exp -1) 1) 1 -1 -1 1 -1 -1 0.922 * * [simplify]: iteration 0 : 323 enodes (cost 918 ) 0.926 * * [simplify]: iteration 1 : 971 enodes (cost 882 ) 0.939 * * [simplify]: iteration 2 : 3076 enodes (cost 867 ) 0.976 * * [simplify]: iteration 3 : 5001 enodes (cost 867 ) 0.980 * [simplify]: Simplified to: (exp (/ (- (+ f n)) (- f n))) (expm1 (expm1 (/ (- (+ f n)) (- f n)))) (/ (- (+ f n)) (- f n)) (log (expm1 (/ (- (+ f n)) (- f n)))) (exp (expm1 (/ (- (+ f n)) (- f n)))) (* (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (cbrt (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (pow (expm1 (/ (- (+ f n)) (- f n))) 3) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (+ 1 (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ f n) (- n f) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (fma f f (- (* n n) (* f n))) (- f n)) (* (- f n) (- f n)) (- E 1) (expm1 -1) (expm1 -1) 1 -1 -1 1 -1 -1 0.981 * * * [progress]: adding candidates to table 1.214 * * [progress]: iteration 3 / 4 1.214 * * * [progress]: picking best candidate 1.217 * * * * [pick]: Picked # 1.217 * * * [progress]: localizing error 1.226 * * * [progress]: generating rewritten candidates 1.226 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.236 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.254 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.282 * * * [progress]: generating series expansions 1.282 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.282 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.282 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.282 * [taylor]: Taking taylor expansion of -1 in n 1.282 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.282 * [taylor]: Taking taylor expansion of (+ n f) in n 1.282 * [taylor]: Taking taylor expansion of n in n 1.282 * [taylor]: Taking taylor expansion of f in n 1.282 * [taylor]: Taking taylor expansion of (- f n) in n 1.282 * [taylor]: Taking taylor expansion of f in n 1.282 * [taylor]: Taking taylor expansion of n in n 1.283 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.283 * [taylor]: Taking taylor expansion of -1 in f 1.283 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.283 * [taylor]: Taking taylor expansion of (+ n f) in f 1.283 * [taylor]: Taking taylor expansion of n in f 1.283 * [taylor]: Taking taylor expansion of f in f 1.283 * [taylor]: Taking taylor expansion of (- f n) in f 1.283 * [taylor]: Taking taylor expansion of f in f 1.283 * [taylor]: Taking taylor expansion of n in f 1.283 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.283 * [taylor]: Taking taylor expansion of -1 in f 1.283 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.283 * [taylor]: Taking taylor expansion of (+ n f) in f 1.283 * [taylor]: Taking taylor expansion of n in f 1.283 * [taylor]: Taking taylor expansion of f in f 1.283 * [taylor]: Taking taylor expansion of (- f n) in f 1.283 * [taylor]: Taking taylor expansion of f in f 1.283 * [taylor]: Taking taylor expansion of n in f 1.284 * [taylor]: Taking taylor expansion of 1 in n 1.285 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.285 * [taylor]: Taking taylor expansion of 2 in n 1.285 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.285 * [taylor]: Taking taylor expansion of n in n 1.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.287 * [taylor]: Taking taylor expansion of 2 in n 1.287 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.287 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.287 * [taylor]: Taking taylor expansion of n in n 1.292 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.292 * [taylor]: Taking taylor expansion of 2 in n 1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.293 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.293 * [taylor]: Taking taylor expansion of n in n 1.298 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.298 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.298 * [taylor]: Taking taylor expansion of -1 in n 1.298 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.298 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.298 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.298 * [taylor]: Taking taylor expansion of f in n 1.298 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.298 * [taylor]: Taking taylor expansion of n in n 1.298 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.298 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.298 * [taylor]: Taking taylor expansion of f in n 1.298 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.298 * [taylor]: Taking taylor expansion of n in n 1.300 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.300 * [taylor]: Taking taylor expansion of -1 in f 1.300 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.300 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.300 * [taylor]: Taking taylor expansion of f in f 1.300 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.300 * [taylor]: Taking taylor expansion of n in f 1.300 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.300 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.300 * [taylor]: Taking taylor expansion of f in f 1.300 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.300 * [taylor]: Taking taylor expansion of n in f 1.301 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.301 * [taylor]: Taking taylor expansion of -1 in f 1.301 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.301 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.301 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.301 * [taylor]: Taking taylor expansion of f in f 1.301 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.301 * [taylor]: Taking taylor expansion of n in f 1.302 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.302 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.302 * [taylor]: Taking taylor expansion of f in f 1.302 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.302 * [taylor]: Taking taylor expansion of n in f 1.303 * [taylor]: Taking taylor expansion of -1 in n 1.304 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.304 * [taylor]: Taking taylor expansion of 2 in n 1.304 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.304 * [taylor]: Taking taylor expansion of n in n 1.308 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.308 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.308 * [taylor]: Taking taylor expansion of 2 in n 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.308 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.308 * [taylor]: Taking taylor expansion of n in n 1.316 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.316 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.316 * [taylor]: Taking taylor expansion of 2 in n 1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.316 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.316 * [taylor]: Taking taylor expansion of n in n 1.326 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.326 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.326 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.326 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.326 * [taylor]: Taking taylor expansion of f in n 1.326 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.326 * [taylor]: Taking taylor expansion of n in n 1.327 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.327 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.327 * [taylor]: Taking taylor expansion of n in n 1.327 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.327 * [taylor]: Taking taylor expansion of f in n 1.328 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.328 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.328 * [taylor]: Taking taylor expansion of f in f 1.328 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.328 * [taylor]: Taking taylor expansion of n in f 1.328 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.328 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.328 * [taylor]: Taking taylor expansion of n in f 1.328 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.328 * [taylor]: Taking taylor expansion of f in f 1.329 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.329 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.330 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.330 * [taylor]: Taking taylor expansion of f in f 1.330 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.330 * [taylor]: Taking taylor expansion of n in f 1.330 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.330 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.330 * [taylor]: Taking taylor expansion of n in f 1.330 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.330 * [taylor]: Taking taylor expansion of f in f 1.331 * [taylor]: Taking taylor expansion of -1 in n 1.332 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.332 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.332 * [taylor]: Taking taylor expansion of 2 in n 1.332 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.332 * [taylor]: Taking taylor expansion of n in n 1.336 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.336 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.336 * [taylor]: Taking taylor expansion of 2 in n 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.336 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.336 * [taylor]: Taking taylor expansion of n in n 1.343 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.343 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.343 * [taylor]: Taking taylor expansion of 2 in n 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.343 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.343 * [taylor]: Taking taylor expansion of n in n 1.348 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.349 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.349 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.349 * [taylor]: Taking taylor expansion of -1 in n 1.349 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.349 * [taylor]: Taking taylor expansion of (+ n f) in n 1.349 * [taylor]: Taking taylor expansion of n in n 1.349 * [taylor]: Taking taylor expansion of f in n 1.349 * [taylor]: Taking taylor expansion of (- f n) in n 1.349 * [taylor]: Taking taylor expansion of f in n 1.349 * [taylor]: Taking taylor expansion of n in n 1.349 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.349 * [taylor]: Taking taylor expansion of -1 in f 1.349 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.349 * [taylor]: Taking taylor expansion of (+ n f) in f 1.349 * [taylor]: Taking taylor expansion of n in f 1.349 * [taylor]: Taking taylor expansion of f in f 1.349 * [taylor]: Taking taylor expansion of (- f n) in f 1.349 * [taylor]: Taking taylor expansion of f in f 1.349 * [taylor]: Taking taylor expansion of n in f 1.349 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.349 * [taylor]: Taking taylor expansion of -1 in f 1.349 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.349 * [taylor]: Taking taylor expansion of (+ n f) in f 1.349 * [taylor]: Taking taylor expansion of n in f 1.349 * [taylor]: Taking taylor expansion of f in f 1.349 * [taylor]: Taking taylor expansion of (- f n) in f 1.349 * [taylor]: Taking taylor expansion of f in f 1.349 * [taylor]: Taking taylor expansion of n in f 1.350 * [taylor]: Taking taylor expansion of 1 in n 1.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.351 * [taylor]: Taking taylor expansion of 2 in n 1.351 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.351 * [taylor]: Taking taylor expansion of n in n 1.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.354 * [taylor]: Taking taylor expansion of 2 in n 1.354 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.354 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.354 * [taylor]: Taking taylor expansion of n in n 1.359 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.359 * [taylor]: Taking taylor expansion of 2 in n 1.359 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.359 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.359 * [taylor]: Taking taylor expansion of n in n 1.364 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.364 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.364 * [taylor]: Taking taylor expansion of -1 in n 1.364 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.364 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.364 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.364 * [taylor]: Taking taylor expansion of f in n 1.364 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.364 * [taylor]: Taking taylor expansion of n 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 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.366 * [taylor]: Taking taylor expansion of -1 in f 1.366 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.366 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.366 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.366 * [taylor]: Taking taylor expansion of f in f 1.366 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.366 * [taylor]: Taking taylor expansion of n in f 1.366 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.366 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.366 * [taylor]: Taking taylor expansion of f in f 1.367 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.367 * [taylor]: Taking taylor expansion of n in f 1.367 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.367 * [taylor]: Taking taylor expansion of -1 in f 1.367 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.367 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.367 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.367 * [taylor]: Taking taylor expansion of f in f 1.368 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.368 * [taylor]: Taking taylor expansion of n in f 1.368 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.368 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.368 * [taylor]: Taking taylor expansion of f in f 1.368 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.368 * [taylor]: Taking taylor expansion of n in f 1.369 * [taylor]: Taking taylor expansion of -1 in n 1.370 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.370 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.370 * [taylor]: Taking taylor expansion of 2 in n 1.370 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.370 * [taylor]: Taking taylor expansion of n in n 1.374 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.374 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.374 * [taylor]: Taking taylor expansion of 2 in n 1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.375 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.375 * [taylor]: Taking taylor expansion of n in n 1.382 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.382 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.382 * [taylor]: Taking taylor expansion of 2 in n 1.382 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.382 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.382 * [taylor]: Taking taylor expansion of n in n 1.388 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.388 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.388 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.388 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.388 * [taylor]: Taking taylor expansion of f in n 1.388 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.388 * [taylor]: Taking taylor expansion of n in n 1.388 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.388 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.388 * [taylor]: Taking taylor expansion of n in n 1.388 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.388 * [taylor]: Taking taylor expansion of f in n 1.389 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.389 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.389 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.389 * [taylor]: Taking taylor expansion of f in f 1.389 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.389 * [taylor]: Taking taylor expansion of n in f 1.389 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.389 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.389 * [taylor]: Taking taylor expansion of n in f 1.389 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.389 * [taylor]: Taking taylor expansion of f in f 1.391 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.391 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.391 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.391 * [taylor]: Taking taylor expansion of f in f 1.391 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.391 * [taylor]: Taking taylor expansion of n in f 1.391 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.391 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.391 * [taylor]: Taking taylor expansion of n in f 1.391 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.391 * [taylor]: Taking taylor expansion of f in f 1.392 * [taylor]: Taking taylor expansion of -1 in n 1.394 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.394 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.394 * [taylor]: Taking taylor expansion of 2 in n 1.394 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.394 * [taylor]: Taking taylor expansion of n in n 1.397 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.397 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.397 * [taylor]: Taking taylor expansion of 2 in n 1.397 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.397 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.397 * [taylor]: Taking taylor expansion of n in n 1.406 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.406 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.406 * [taylor]: Taking taylor expansion of 2 in n 1.406 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.406 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.406 * [taylor]: Taking taylor expansion of n in n 1.412 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.412 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 1.412 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 1.412 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.412 * [taylor]: Taking taylor expansion of -1 in n 1.412 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.412 * [taylor]: Taking taylor expansion of (+ n f) in n 1.412 * [taylor]: Taking taylor expansion of n in n 1.412 * [taylor]: Taking taylor expansion of f in n 1.412 * [taylor]: Taking taylor expansion of (- f n) in n 1.412 * [taylor]: Taking taylor expansion of f in n 1.412 * [taylor]: Taking taylor expansion of n in n 1.413 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.413 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.413 * [taylor]: Taking taylor expansion of -1 in f 1.413 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.413 * [taylor]: Taking taylor expansion of (+ n f) in f 1.413 * [taylor]: Taking taylor expansion of n in f 1.413 * [taylor]: Taking taylor expansion of f in f 1.413 * [taylor]: Taking taylor expansion of (- f n) in f 1.413 * [taylor]: Taking taylor expansion of f in f 1.413 * [taylor]: Taking taylor expansion of n in f 1.414 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.414 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.414 * [taylor]: Taking taylor expansion of -1 in f 1.414 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.414 * [taylor]: Taking taylor expansion of (+ n f) in f 1.414 * [taylor]: Taking taylor expansion of n in f 1.414 * [taylor]: Taking taylor expansion of f in f 1.414 * [taylor]: Taking taylor expansion of (- f n) in f 1.414 * [taylor]: Taking taylor expansion of f in f 1.414 * [taylor]: Taking taylor expansion of n in f 1.414 * [taylor]: Taking taylor expansion of E in n 1.415 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 1.415 * [taylor]: Taking taylor expansion of 2 in n 1.415 * [taylor]: Taking taylor expansion of (/ E n) in n 1.416 * [taylor]: Taking taylor expansion of E in n 1.416 * [taylor]: Taking taylor expansion of n in n 1.418 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 1.418 * [taylor]: Taking taylor expansion of 4 in n 1.418 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 1.418 * [taylor]: Taking taylor expansion of E in n 1.418 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.418 * [taylor]: Taking taylor expansion of n in n 1.424 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 1.425 * [taylor]: Taking taylor expansion of 22/3 in n 1.425 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 1.425 * [taylor]: Taking taylor expansion of E in n 1.425 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.425 * [taylor]: Taking taylor expansion of n in n 1.431 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 1.431 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.431 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.431 * [taylor]: Taking taylor expansion of -1 in n 1.431 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.431 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.431 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.431 * [taylor]: Taking taylor expansion of f in n 1.431 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.431 * [taylor]: Taking taylor expansion of n in n 1.431 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.431 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.431 * [taylor]: Taking taylor expansion of f in n 1.431 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.431 * [taylor]: Taking taylor expansion of n in n 1.433 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.433 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.433 * [taylor]: Taking taylor expansion of -1 in f 1.433 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.433 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.433 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.433 * [taylor]: Taking taylor expansion of f in f 1.433 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.433 * [taylor]: Taking taylor expansion of n in f 1.433 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.433 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.433 * [taylor]: Taking taylor expansion of f in f 1.433 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.433 * [taylor]: Taking taylor expansion of n in f 1.435 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.435 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.435 * [taylor]: Taking taylor expansion of -1 in f 1.435 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.435 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.435 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.435 * [taylor]: Taking taylor expansion of f in f 1.435 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.435 * [taylor]: Taking taylor expansion of n in f 1.435 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.435 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.435 * [taylor]: Taking taylor expansion of f in f 1.435 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.435 * [taylor]: Taking taylor expansion of n in f 1.437 * [taylor]: Taking taylor expansion of (exp -1) in n 1.437 * [taylor]: Taking taylor expansion of -1 in n 1.439 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 1.439 * [taylor]: Taking taylor expansion of -2 in n 1.439 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.439 * [taylor]: Taking taylor expansion of (exp -1) in n 1.439 * [taylor]: Taking taylor expansion of -1 in n 1.439 * [taylor]: Taking taylor expansion of n in n 1.445 * [taylor]: Taking taylor expansion of 0 in n 1.452 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 1.452 * [taylor]: Taking taylor expansion of 2/3 in n 1.452 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 1.452 * [taylor]: Taking taylor expansion of (exp -1) in n 1.452 * [taylor]: Taking taylor expansion of -1 in n 1.452 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.452 * [taylor]: Taking taylor expansion of n in n 1.461 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 1.461 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.461 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.462 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.462 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.462 * [taylor]: Taking taylor expansion of f in n 1.462 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.462 * [taylor]: Taking taylor expansion of n in n 1.462 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.462 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.462 * [taylor]: Taking taylor expansion of n in n 1.462 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.462 * [taylor]: Taking taylor expansion of f in n 1.463 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.463 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.463 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.463 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.463 * [taylor]: Taking taylor expansion of f in f 1.463 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.463 * [taylor]: Taking taylor expansion of n in f 1.463 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.463 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.463 * [taylor]: Taking taylor expansion of n in f 1.463 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.463 * [taylor]: Taking taylor expansion of f in f 1.465 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.465 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.465 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.465 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.465 * [taylor]: Taking taylor expansion of f in f 1.465 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.465 * [taylor]: Taking taylor expansion of n in f 1.465 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.465 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.465 * [taylor]: Taking taylor expansion of n in f 1.465 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.465 * [taylor]: Taking taylor expansion of f in f 1.467 * [taylor]: Taking taylor expansion of (exp -1) in n 1.467 * [taylor]: Taking taylor expansion of -1 in n 1.469 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 1.469 * [taylor]: Taking taylor expansion of -2 in n 1.469 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.469 * [taylor]: Taking taylor expansion of (exp -1) in n 1.469 * [taylor]: Taking taylor expansion of -1 in n 1.469 * [taylor]: Taking taylor expansion of n in n 1.475 * [taylor]: Taking taylor expansion of 0 in n 1.484 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 1.484 * [taylor]: Taking taylor expansion of 2/3 in n 1.484 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 1.484 * [taylor]: Taking taylor expansion of (exp -1) in n 1.484 * [taylor]: Taking taylor expansion of -1 in n 1.484 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.484 * [taylor]: Taking taylor expansion of n in n 1.493 * * * [progress]: simplifying candidates 1.496 * [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)) 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n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt f) (sqrt n))) 1 (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt f) (sqrt n))) 1 1 (- (+ f n)) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (expm1 (exp (/ (- (+ f n)) (- f n)))) (log1p (exp (/ (- (+ f n)) (- f n)))) (exp (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (exp (sqrt (/ (- (+ f n)) (- f n)))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n)))) (pow (exp (cbrt (- (+ f n)))) (cbrt (- (+ f n)))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n)))) (pow (exp (cbrt (- (+ f n)))) (cbrt (- (+ f n)))) (exp (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (- (+ f n))) (sqrt (- f n)))) (exp (sqrt (- (+ f n)))) (exp (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (sqrt (- (+ f n)))) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (/ 1 E) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (/ 1 E) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n)))) (pow (exp (- (cbrt (+ f n)))) (cbrt (+ f n))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n)))) (pow (exp (- (cbrt (+ f n)))) (cbrt (+ f n))) (exp (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (sqrt (+ f n))) (sqrt (- f n)))) (/ 1 (exp (sqrt (+ f n)))) (exp (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (/ 1 (exp (sqrt (+ f n)))) (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (/ 1 E) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (/ 1 E) (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (/ 1 E) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (/ 1 E) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))) (pow (exp (cbrt (+ f n))) (cbrt (+ f n))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))) (pow (exp (cbrt (+ f n))) (cbrt (+ f n))) (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (+ f n)) (sqrt (- f n)))) (exp (sqrt (+ f n))) (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (exp (sqrt (+ f n))) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E E (exp (- (+ f n))) (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) (pow (/ 1 E) (/ 1 (- f n))) (exp (/ (+ f n) (- f n))) 1 (exp (/ (+ f n) (- f n))) (/ (- (+ f n)) (- f n)) (exp (exp (/ (- (+ f n)) (- f n)))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (pow (exp (/ (- (+ f n)) (- f n))) 3) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) 1 -1 -1 1 -1 -1 E (/ 1 E) (/ 1 E) 1.574 * * * [progress]: adding candidates to table 2.042 * * [progress]: iteration 4 / 4 2.042 * * * [progress]: picking best candidate 2.044 * * * * [pick]: Picked # 2.044 * * * [progress]: localizing error 2.052 * * * [progress]: generating rewritten candidates 2.052 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 2.053 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 2.065 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.071 * * * [progress]: generating series expansions 2.071 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 2.071 * [approximate]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 2.071 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in n 2.071 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.071 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in n 2.071 * [taylor]: Taking taylor expansion of 1 in n 2.071 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.071 * [taylor]: Taking taylor expansion of -1 in n 2.071 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.071 * [taylor]: Taking taylor expansion of (+ n f) in n 2.071 * [taylor]: Taking taylor expansion of n in n 2.071 * [taylor]: Taking taylor expansion of f in n 2.071 * [taylor]: Taking taylor expansion of (- f n) in n 2.071 * [taylor]: Taking taylor expansion of f in n 2.071 * [taylor]: Taking taylor expansion of n in n 2.074 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 2.074 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.074 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 2.074 * [taylor]: Taking taylor expansion of 1 in f 2.074 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.074 * [taylor]: Taking taylor expansion of -1 in f 2.074 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.074 * [taylor]: Taking taylor expansion of (+ n f) in f 2.074 * [taylor]: Taking taylor expansion of n in f 2.074 * [taylor]: Taking taylor expansion of f in f 2.074 * [taylor]: Taking taylor expansion of (- f n) in f 2.074 * [taylor]: Taking taylor expansion of f in f 2.074 * [taylor]: Taking taylor expansion of n in f 2.075 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 2.075 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.075 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 2.075 * [taylor]: Taking taylor expansion of 1 in f 2.075 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.075 * [taylor]: Taking taylor expansion of -1 in f 2.075 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.075 * [taylor]: Taking taylor expansion of (+ n f) in f 2.075 * [taylor]: Taking taylor expansion of n in f 2.075 * [taylor]: Taking taylor expansion of f in f 2.075 * [taylor]: Taking taylor expansion of (- f n) in f 2.075 * [taylor]: Taking taylor expansion of f in f 2.075 * [taylor]: Taking taylor expansion of n in f 2.076 * [taylor]: Taking taylor expansion of (log 2) in n 2.076 * [taylor]: Taking taylor expansion of 2 in n 2.078 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.078 * [taylor]: Taking taylor expansion of n in n 2.082 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 2.082 * [taylor]: Taking taylor expansion of 1/2 in n 2.082 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.082 * [taylor]: Taking taylor expansion of n in n 2.089 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 2.089 * [taylor]: Taking taylor expansion of 1/3 in n 2.089 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.089 * [taylor]: Taking taylor expansion of n in n 2.094 * [approximate]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 2.094 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.094 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.094 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.094 * [taylor]: Taking taylor expansion of 1 in n 2.094 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.094 * [taylor]: Taking taylor expansion of -1 in n 2.094 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.094 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.094 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.094 * [taylor]: Taking taylor expansion of f in n 2.095 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.095 * [taylor]: Taking taylor expansion of n in n 2.095 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.095 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.095 * [taylor]: Taking taylor expansion of f in n 2.095 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.095 * [taylor]: Taking taylor expansion of n in n 2.097 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.097 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.097 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.097 * [taylor]: Taking taylor expansion of 1 in f 2.097 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.097 * [taylor]: Taking taylor expansion of -1 in f 2.097 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.097 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.097 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.097 * [taylor]: Taking taylor expansion of f in f 2.097 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.097 * [taylor]: Taking taylor expansion of n in f 2.097 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.097 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.097 * [taylor]: Taking taylor expansion of f in f 2.098 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.098 * [taylor]: Taking taylor expansion of n in f 2.100 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.100 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.100 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.100 * [taylor]: Taking taylor expansion of 1 in f 2.100 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.100 * [taylor]: Taking taylor expansion of -1 in f 2.100 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.100 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.100 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.100 * [taylor]: Taking taylor expansion of f in f 2.101 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.101 * [taylor]: Taking taylor expansion of n in f 2.101 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.101 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.101 * [taylor]: Taking taylor expansion of f in f 2.101 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.101 * [taylor]: Taking taylor expansion of n in f 2.104 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.104 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.104 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.104 * [taylor]: Taking taylor expansion of 2 in n 2.104 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.104 * [taylor]: Taking taylor expansion of n in n 2.105 * [taylor]: Taking taylor expansion of (log f) in n 2.105 * [taylor]: Taking taylor expansion of f in n 2.110 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.110 * [taylor]: Taking taylor expansion of n in n 2.117 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 2.117 * [taylor]: Taking taylor expansion of 1/2 in n 2.117 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.117 * [taylor]: Taking taylor expansion of n in n 2.130 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 2.130 * [taylor]: Taking taylor expansion of 1/3 in n 2.130 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.130 * [taylor]: Taking taylor expansion of n in n 2.135 * [approximate]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 2.135 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.135 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.135 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.135 * [taylor]: Taking taylor expansion of 1 in n 2.135 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.135 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.135 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.135 * [taylor]: Taking taylor expansion of f in n 2.136 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.136 * [taylor]: Taking taylor expansion of n in n 2.136 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.136 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.136 * [taylor]: Taking taylor expansion of n in n 2.136 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.136 * [taylor]: Taking taylor expansion of f in n 2.142 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.142 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.142 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.142 * [taylor]: Taking taylor expansion of 1 in f 2.142 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.142 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.143 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.143 * [taylor]: Taking taylor expansion of f in f 2.143 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.143 * [taylor]: Taking taylor expansion of n in f 2.143 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.143 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.143 * [taylor]: Taking taylor expansion of n in f 2.143 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.143 * [taylor]: Taking taylor expansion of f in f 2.146 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.146 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.146 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.146 * [taylor]: Taking taylor expansion of 1 in f 2.146 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.146 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.146 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.146 * [taylor]: Taking taylor expansion of f in f 2.146 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.146 * [taylor]: Taking taylor expansion of n in f 2.146 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.146 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.146 * [taylor]: Taking taylor expansion of n in f 2.146 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.146 * [taylor]: Taking taylor expansion of f in f 2.149 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.149 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.149 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.149 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.149 * [taylor]: Taking taylor expansion of 2 in n 2.149 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.149 * [taylor]: Taking taylor expansion of n in n 2.151 * [taylor]: Taking taylor expansion of (log f) in n 2.151 * [taylor]: Taking taylor expansion of f in n 2.154 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.154 * [taylor]: Taking taylor expansion of n in n 2.162 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 2.162 * [taylor]: Taking taylor expansion of 1/2 in n 2.162 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.162 * [taylor]: Taking taylor expansion of n in n 2.174 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 2.174 * [taylor]: Taking taylor expansion of 1/3 in n 2.174 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.174 * [taylor]: Taking taylor expansion of n in n 2.179 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 2.179 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.179 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.179 * [taylor]: Taking taylor expansion of -1 in n 2.179 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.179 * [taylor]: Taking taylor expansion of (+ n f) in n 2.179 * [taylor]: Taking taylor expansion of n in n 2.179 * [taylor]: Taking taylor expansion of f in n 2.179 * [taylor]: Taking taylor expansion of (- f n) in n 2.179 * [taylor]: Taking taylor expansion of f in n 2.179 * [taylor]: Taking taylor expansion of n in n 2.180 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.180 * [taylor]: Taking taylor expansion of -1 in f 2.180 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.180 * [taylor]: Taking taylor expansion of (+ n f) in f 2.180 * [taylor]: Taking taylor expansion of n in f 2.180 * [taylor]: Taking taylor expansion of f in f 2.180 * [taylor]: Taking taylor expansion of (- f n) in f 2.180 * [taylor]: Taking taylor expansion of f in f 2.180 * [taylor]: Taking taylor expansion of n in f 2.180 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.180 * [taylor]: Taking taylor expansion of -1 in f 2.180 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.180 * [taylor]: Taking taylor expansion of (+ n f) in f 2.180 * [taylor]: Taking taylor expansion of n in f 2.180 * [taylor]: Taking taylor expansion of f in f 2.180 * [taylor]: Taking taylor expansion of (- f n) in f 2.180 * [taylor]: Taking taylor expansion of f in f 2.180 * [taylor]: Taking taylor expansion of n in f 2.180 * [taylor]: Taking taylor expansion of 1 in n 2.181 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.181 * [taylor]: Taking taylor expansion of 2 in n 2.181 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.181 * [taylor]: Taking taylor expansion of n in n 2.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.184 * [taylor]: Taking taylor expansion of 2 in n 2.184 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.184 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.184 * [taylor]: Taking taylor expansion of n in n 2.189 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.189 * [taylor]: Taking taylor expansion of 2 in n 2.189 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.189 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.189 * [taylor]: Taking taylor expansion of n in n 2.195 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.195 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.195 * [taylor]: Taking taylor expansion of -1 in n 2.195 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.195 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.195 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.195 * [taylor]: Taking taylor expansion of f in n 2.195 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.195 * [taylor]: Taking taylor expansion of n in n 2.195 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.195 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.195 * [taylor]: Taking taylor expansion of f in n 2.195 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.195 * [taylor]: Taking taylor expansion of n in n 2.196 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.196 * [taylor]: Taking taylor expansion of -1 in f 2.197 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.197 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.197 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.197 * [taylor]: Taking taylor expansion of f in f 2.197 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.197 * [taylor]: Taking taylor expansion of n in f 2.197 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.197 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.197 * [taylor]: Taking taylor expansion of f in f 2.197 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.197 * [taylor]: Taking taylor expansion of n in f 2.198 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.198 * [taylor]: Taking taylor expansion of -1 in f 2.198 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.198 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.198 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.198 * [taylor]: Taking taylor expansion of f in f 2.198 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.198 * [taylor]: Taking taylor expansion of n in f 2.198 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.198 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.198 * [taylor]: Taking taylor expansion of f in f 2.199 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.199 * [taylor]: Taking taylor expansion of n in f 2.200 * [taylor]: Taking taylor expansion of -1 in n 2.201 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.201 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.201 * [taylor]: Taking taylor expansion of 2 in n 2.201 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.201 * [taylor]: Taking taylor expansion of n in n 2.205 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.205 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.205 * [taylor]: Taking taylor expansion of 2 in n 2.205 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.205 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.205 * [taylor]: Taking taylor expansion of n in n 2.212 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.212 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.212 * [taylor]: Taking taylor expansion of 2 in n 2.212 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.213 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.213 * [taylor]: Taking taylor expansion of n in n 2.219 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.219 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.219 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.219 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.219 * [taylor]: Taking taylor expansion of f in n 2.219 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.219 * [taylor]: Taking taylor expansion of n in n 2.219 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.219 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.219 * [taylor]: Taking taylor expansion of n in n 2.219 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.219 * [taylor]: Taking taylor expansion of f in n 2.220 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.220 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.220 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.220 * [taylor]: Taking taylor expansion of f in f 2.220 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.220 * [taylor]: Taking taylor expansion of n in f 2.220 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.220 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.220 * [taylor]: Taking taylor expansion of n in f 2.221 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.221 * [taylor]: Taking taylor expansion of f in f 2.226 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.226 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.226 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.226 * [taylor]: Taking taylor expansion of f in f 2.227 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.227 * [taylor]: Taking taylor expansion of n in f 2.227 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.227 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.227 * [taylor]: Taking taylor expansion of n in f 2.227 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.227 * [taylor]: Taking taylor expansion of f in f 2.228 * [taylor]: Taking taylor expansion of -1 in n 2.229 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.229 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.229 * [taylor]: Taking taylor expansion of 2 in n 2.229 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.229 * [taylor]: Taking taylor expansion of n in n 2.233 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.233 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.233 * [taylor]: Taking taylor expansion of 2 in n 2.233 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.233 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.233 * [taylor]: Taking taylor expansion of n in n 2.240 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.240 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.240 * [taylor]: Taking taylor expansion of 2 in n 2.240 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.240 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.240 * [taylor]: Taking taylor expansion of n in n 2.246 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.246 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 2.246 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in n 2.246 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 2.246 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in n 2.246 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in n 2.246 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.246 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in n 2.246 * [taylor]: Taking taylor expansion of 1 in n 2.246 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.247 * [taylor]: Taking taylor expansion of -1 in n 2.247 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.247 * [taylor]: Taking taylor expansion of (+ n f) in n 2.247 * [taylor]: Taking taylor expansion of n in n 2.247 * [taylor]: Taking taylor expansion of f in n 2.247 * [taylor]: Taking taylor expansion of (- f n) in n 2.247 * [taylor]: Taking taylor expansion of f in n 2.247 * [taylor]: Taking taylor expansion of n in n 2.249 * [taylor]: Taking taylor expansion of 1 in n 2.249 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in f 2.249 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 2.249 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in f 2.249 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 2.250 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.250 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 2.250 * [taylor]: Taking taylor expansion of 1 in f 2.250 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.250 * [taylor]: Taking taylor expansion of -1 in f 2.250 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.250 * [taylor]: Taking taylor expansion of (+ n f) in f 2.250 * [taylor]: Taking taylor expansion of n in f 2.250 * [taylor]: Taking taylor expansion of f in f 2.250 * [taylor]: Taking taylor expansion of (- f n) in f 2.250 * [taylor]: Taking taylor expansion of f in f 2.250 * [taylor]: Taking taylor expansion of n in f 2.251 * [taylor]: Taking taylor expansion of 1 in f 2.251 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in f 2.251 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 2.251 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in f 2.251 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 2.251 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.251 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 2.251 * [taylor]: Taking taylor expansion of 1 in f 2.251 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.251 * [taylor]: Taking taylor expansion of -1 in f 2.251 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.251 * [taylor]: Taking taylor expansion of (+ n f) in f 2.251 * [taylor]: Taking taylor expansion of n in f 2.251 * [taylor]: Taking taylor expansion of f in f 2.251 * [taylor]: Taking taylor expansion of (- f n) in f 2.251 * [taylor]: Taking taylor expansion of f in f 2.251 * [taylor]: Taking taylor expansion of n in f 2.253 * [taylor]: Taking taylor expansion of 1 in f 2.253 * [taylor]: Taking taylor expansion of 1 in n 2.256 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.256 * [taylor]: Taking taylor expansion of 2 in n 2.256 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.256 * [taylor]: Taking taylor expansion of n in n 2.260 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.260 * [taylor]: Taking taylor expansion of 2 in n 2.260 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.260 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.260 * [taylor]: Taking taylor expansion of n in n 2.268 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.268 * [taylor]: Taking taylor expansion of 2 in n 2.268 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.268 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.268 * [taylor]: Taking taylor expansion of n in n 2.274 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 2.274 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 2.274 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 2.274 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 2.274 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.274 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.274 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.274 * [taylor]: Taking taylor expansion of 1 in n 2.274 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.274 * [taylor]: Taking taylor expansion of -1 in n 2.274 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.274 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.274 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.274 * [taylor]: Taking taylor expansion of f in n 2.274 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.274 * [taylor]: Taking taylor expansion of n in n 2.275 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.275 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.275 * [taylor]: Taking taylor expansion of f in n 2.275 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.275 * [taylor]: Taking taylor expansion of n in n 2.277 * [taylor]: Taking taylor expansion of 1 in n 2.277 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.277 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 2.277 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.277 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.277 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.277 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.277 * [taylor]: Taking taylor expansion of 1 in f 2.277 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.277 * [taylor]: Taking taylor expansion of -1 in f 2.277 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.277 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.278 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.278 * [taylor]: Taking taylor expansion of f in f 2.278 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.278 * [taylor]: Taking taylor expansion of n in f 2.278 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.278 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.278 * [taylor]: Taking taylor expansion of f in f 2.278 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.278 * [taylor]: Taking taylor expansion of n in f 2.281 * [taylor]: Taking taylor expansion of 1 in f 2.282 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.282 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 2.282 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.282 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.282 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.282 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.282 * [taylor]: Taking taylor expansion of 1 in f 2.282 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.282 * [taylor]: Taking taylor expansion of -1 in f 2.282 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.282 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.282 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.282 * [taylor]: Taking taylor expansion of f in f 2.282 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.282 * [taylor]: Taking taylor expansion of n in f 2.282 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.282 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.282 * [taylor]: Taking taylor expansion of f in f 2.282 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.283 * [taylor]: Taking taylor expansion of n in f 2.286 * [taylor]: Taking taylor expansion of 1 in f 2.286 * [taylor]: Taking taylor expansion of (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) in n 2.286 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.286 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.286 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.286 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.286 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.286 * [taylor]: Taking taylor expansion of 2 in n 2.286 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.286 * [taylor]: Taking taylor expansion of n in n 2.288 * [taylor]: Taking taylor expansion of (log f) in n 2.288 * [taylor]: Taking taylor expansion of f in n 2.289 * [taylor]: Taking taylor expansion of 1 in n 2.294 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) in n 2.294 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.294 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.294 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.294 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.294 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.294 * [taylor]: Taking taylor expansion of 2 in n 2.294 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.294 * [taylor]: Taking taylor expansion of n in n 2.295 * [taylor]: Taking taylor expansion of (log f) in n 2.295 * [taylor]: Taking taylor expansion of f in n 2.296 * [taylor]: Taking taylor expansion of n in n 2.313 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) in n 2.313 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.313 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.313 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.313 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.313 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.313 * [taylor]: Taking taylor expansion of 2 in n 2.314 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.314 * [taylor]: Taking taylor expansion of n in n 2.315 * [taylor]: Taking taylor expansion of (log f) in n 2.315 * [taylor]: Taking taylor expansion of f in n 2.316 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.316 * [taylor]: Taking taylor expansion of n in n 2.347 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) in n 2.347 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.347 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.347 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.347 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.347 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.347 * [taylor]: Taking taylor expansion of 2 in n 2.347 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.347 * [taylor]: Taking taylor expansion of n in n 2.348 * [taylor]: Taking taylor expansion of (log f) in n 2.348 * [taylor]: Taking taylor expansion of f in n 2.349 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.349 * [taylor]: Taking taylor expansion of n in n 2.374 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 2.374 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 2.374 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 2.374 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 2.374 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.374 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.374 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.374 * [taylor]: Taking taylor expansion of 1 in n 2.374 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.374 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.374 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.374 * [taylor]: Taking taylor expansion of f in n 2.374 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.374 * [taylor]: Taking taylor expansion of n in n 2.375 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.375 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.375 * [taylor]: Taking taylor expansion of n in n 2.375 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.375 * [taylor]: Taking taylor expansion of f in n 2.377 * [taylor]: Taking taylor expansion of 1 in n 2.377 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.377 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 2.377 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.377 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.377 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.377 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.377 * [taylor]: Taking taylor expansion of 1 in f 2.377 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.377 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.377 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.377 * [taylor]: Taking taylor expansion of f in f 2.377 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.377 * [taylor]: Taking taylor expansion of n in f 2.377 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.377 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.377 * [taylor]: Taking taylor expansion of n in f 2.377 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.377 * [taylor]: Taking taylor expansion of f in f 2.381 * [taylor]: Taking taylor expansion of 1 in f 2.381 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.381 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 2.381 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.381 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.381 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.381 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.381 * [taylor]: Taking taylor expansion of 1 in f 2.381 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.381 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.381 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.381 * [taylor]: Taking taylor expansion of f in f 2.381 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.381 * [taylor]: Taking taylor expansion of n in f 2.382 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.382 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.382 * [taylor]: Taking taylor expansion of n in f 2.382 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.382 * [taylor]: Taking taylor expansion of f in f 2.385 * [taylor]: Taking taylor expansion of 1 in f 2.386 * [taylor]: Taking taylor expansion of (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) in n 2.386 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.386 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.386 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.386 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.386 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.386 * [taylor]: Taking taylor expansion of 2 in n 2.386 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.386 * [taylor]: Taking taylor expansion of n in n 2.387 * [taylor]: Taking taylor expansion of (log f) in n 2.387 * [taylor]: Taking taylor expansion of f in n 2.388 * [taylor]: Taking taylor expansion of 1 in n 2.397 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) in n 2.398 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.398 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.398 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.398 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.398 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.398 * [taylor]: Taking taylor expansion of 2 in n 2.398 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.398 * [taylor]: Taking taylor expansion of n in n 2.399 * [taylor]: Taking taylor expansion of (log f) in n 2.399 * [taylor]: Taking taylor expansion of f in n 2.400 * [taylor]: Taking taylor expansion of n in n 2.413 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) in n 2.413 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.413 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.413 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.413 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.413 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.413 * [taylor]: Taking taylor expansion of 2 in n 2.413 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.413 * [taylor]: Taking taylor expansion of n in n 2.415 * [taylor]: Taking taylor expansion of (log f) in n 2.415 * [taylor]: Taking taylor expansion of f in n 2.416 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.416 * [taylor]: Taking taylor expansion of n in n 2.446 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) in n 2.446 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.446 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.446 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.446 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.446 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.446 * [taylor]: Taking taylor expansion of 2 in n 2.446 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.446 * [taylor]: Taking taylor expansion of n in n 2.447 * [taylor]: Taking taylor expansion of (log f) in n 2.447 * [taylor]: Taking taylor expansion of f in n 2.448 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.448 * [taylor]: Taking taylor expansion of n in n 2.472 * * * [progress]: simplifying candidates 2.479 * [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) 2.484 * * [simplify]: iteration 0 : 364 enodes (cost 946 ) 2.489 * * [simplify]: iteration 1 : 1083 enodes (cost 907 ) 2.504 * * [simplify]: iteration 2 : 3442 enodes (cost 885 ) 2.544 * * [simplify]: iteration 3 : 5001 enodes (cost 884 ) 2.549 * [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) 2.550 * * * [progress]: adding candidates to table 2.799 * [progress]: [Phase 3 of 3] Extracting. 2.800 * * [regime]: Finding splitpoints for: (# # #) 2.801 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 2.801 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 2.819 * * * * [regimes]: Trying to branch on n from (# # #) 2.833 * * * * [regimes]: Trying to branch on f from (# # #) 2.847 * * * [regime]: Found split indices: #