0.841 * [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)) 0.274 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.275 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.277 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.278 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.279 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.280 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.282 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.282 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.283 * * [progress]: iteration 1 / 4 0.283 * * * [progress]: picking best candidate 0.285 * * * * [pick]: Picked # 0.285 * * * [progress]: localizing error 0.292 * * * [progress]: generating rewritten candidates 0.292 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.310 * * * [progress]: generating series expansions 0.310 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.314 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.315 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.315 * [taylor]: Taking taylor expansion of -1 in n 0.315 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.315 * [taylor]: Taking taylor expansion of (+ n f) in n 0.315 * [taylor]: Taking taylor expansion of n in n 0.315 * [taylor]: Taking taylor expansion of f in n 0.315 * [taylor]: Taking taylor expansion of (- f n) in n 0.316 * [taylor]: Taking taylor expansion of f in n 0.316 * [taylor]: Taking taylor expansion of n in n 0.316 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.316 * [taylor]: Taking taylor expansion of -1 in f 0.316 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.316 * [taylor]: Taking taylor expansion of (+ n f) in f 0.316 * [taylor]: Taking taylor expansion of n in f 0.316 * [taylor]: Taking taylor expansion of f in f 0.316 * [taylor]: Taking taylor expansion of (- f n) in f 0.316 * [taylor]: Taking taylor expansion of f in f 0.316 * [taylor]: Taking taylor expansion of n in f 0.317 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.317 * [taylor]: Taking taylor expansion of -1 in f 0.317 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.317 * [taylor]: Taking taylor expansion of (+ n f) in f 0.317 * [taylor]: Taking taylor expansion of n in f 0.317 * [taylor]: Taking taylor expansion of f in f 0.317 * [taylor]: Taking taylor expansion of (- f n) in f 0.317 * [taylor]: Taking taylor expansion of f in f 0.317 * [taylor]: Taking taylor expansion of n in f 0.318 * [taylor]: Taking taylor expansion of 1 in n 0.319 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.319 * [taylor]: Taking taylor expansion of 2 in n 0.319 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.319 * [taylor]: Taking taylor expansion of n in n 0.322 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.322 * [taylor]: Taking taylor expansion of 2 in n 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.322 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.322 * [taylor]: Taking taylor expansion of n in n 0.328 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.328 * [taylor]: Taking taylor expansion of 2 in n 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.328 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.328 * [taylor]: Taking taylor expansion of n in n 0.334 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.334 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.334 * [taylor]: Taking taylor expansion of -1 in n 0.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.334 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.334 * [taylor]: Taking taylor expansion of f in n 0.334 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.334 * [taylor]: Taking taylor expansion of n in n 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.335 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.335 * [taylor]: Taking taylor expansion of f in n 0.335 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.335 * [taylor]: Taking taylor expansion of n in n 0.336 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.336 * [taylor]: Taking taylor expansion of -1 in f 0.336 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.336 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.336 * [taylor]: Taking taylor expansion of f in f 0.337 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.337 * [taylor]: Taking taylor expansion of n in f 0.337 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.337 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.337 * [taylor]: Taking taylor expansion of f in f 0.337 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.337 * [taylor]: Taking taylor expansion of n in f 0.338 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.338 * [taylor]: Taking taylor expansion of -1 in f 0.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.338 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.338 * [taylor]: Taking taylor expansion of f in f 0.338 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.338 * [taylor]: Taking taylor expansion of n in f 0.338 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.338 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.338 * [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 in n 0.341 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.341 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.341 * [taylor]: Taking taylor expansion of 2 in n 0.341 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.346 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.346 * [taylor]: Taking taylor expansion of 2 in n 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.346 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.346 * [taylor]: Taking taylor expansion of n in n 0.354 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.354 * [taylor]: Taking taylor expansion of 2 in n 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.354 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.354 * [taylor]: Taking taylor expansion of n in n 0.371 * [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 0.372 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.372 * [taylor]: Taking taylor expansion of f in n 0.372 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.373 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.373 * [taylor]: Taking taylor expansion of f in f 0.373 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.373 * [taylor]: Taking taylor expansion of n in f 0.373 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.373 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.373 * [taylor]: Taking taylor expansion of n in f 0.373 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.373 * [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 0.375 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.375 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.375 * [taylor]: Taking taylor expansion of n in f 0.375 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.375 * [taylor]: Taking taylor expansion of f in f 0.376 * [taylor]: Taking taylor expansion of -1 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 0.381 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.381 * [taylor]: Taking taylor expansion of 2 in n 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.381 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.381 * [taylor]: Taking taylor expansion of n in n 0.389 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.389 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.389 * [taylor]: Taking taylor expansion of 2 in n 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.389 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.389 * [taylor]: Taking taylor expansion of n in n 0.394 * * * [progress]: simplifying candidates 0.396 * [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 0.401 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.406 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.419 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 0.457 * * [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 0.618 * * [progress]: iteration 2 / 4 0.618 * * * [progress]: picking best candidate 0.626 * * * * [pick]: Picked # 0.626 * * * [progress]: localizing error 0.634 * * * [progress]: generating rewritten candidates 0.634 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.635 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.645 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.650 * * * [progress]: generating series expansions 0.650 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.651 * [approximate]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 0.651 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in n 0.652 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 0.652 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in n 0.652 * [taylor]: Taking taylor expansion of 1 in n 0.652 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.652 * [taylor]: Taking taylor expansion of -1 in n 0.652 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.652 * [taylor]: Taking taylor expansion of (+ n f) in n 0.652 * [taylor]: Taking taylor expansion of n in n 0.652 * [taylor]: Taking taylor expansion of f in n 0.652 * [taylor]: Taking taylor expansion of (- f n) in n 0.652 * [taylor]: Taking taylor expansion of f in n 0.652 * [taylor]: Taking taylor expansion of n in n 0.655 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 0.655 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 0.655 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 0.655 * [taylor]: Taking taylor expansion of 1 in f 0.655 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.655 * [taylor]: Taking taylor expansion of -1 in f 0.655 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.655 * [taylor]: Taking taylor expansion of (+ n f) in f 0.655 * [taylor]: Taking taylor expansion of n in f 0.655 * [taylor]: Taking taylor expansion of f in f 0.655 * [taylor]: Taking taylor expansion of (- f n) in f 0.655 * [taylor]: Taking taylor expansion of f in f 0.655 * [taylor]: Taking taylor expansion of n in f 0.656 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 0.656 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 0.656 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 0.656 * [taylor]: Taking taylor expansion of 1 in f 0.656 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.656 * [taylor]: Taking taylor expansion of -1 in f 0.656 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.656 * [taylor]: Taking taylor expansion of (+ n f) in f 0.656 * [taylor]: Taking taylor expansion of n in f 0.657 * [taylor]: Taking taylor expansion of f in f 0.657 * [taylor]: Taking taylor expansion of (- f n) in f 0.657 * [taylor]: Taking taylor expansion of f in f 0.657 * [taylor]: Taking taylor expansion of n in f 0.657 * [taylor]: Taking taylor expansion of (log 2) in n 0.657 * [taylor]: Taking taylor expansion of 2 in n 0.660 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.660 * [taylor]: Taking taylor expansion of n in n 0.665 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 0.665 * [taylor]: Taking taylor expansion of 1/2 in n 0.665 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.665 * [taylor]: Taking taylor expansion of n in n 0.673 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 0.673 * [taylor]: Taking taylor expansion of 1/3 in n 0.673 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.673 * [taylor]: Taking taylor expansion of n in n 0.683 * [approximate]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 0.683 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.683 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 0.684 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.684 * [taylor]: Taking taylor expansion of 1 in n 0.684 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.684 * [taylor]: Taking taylor expansion of -1 in n 0.684 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.684 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.684 * [taylor]: Taking taylor expansion of f in n 0.684 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.684 * [taylor]: Taking taylor expansion of n in n 0.684 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.684 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.684 * [taylor]: Taking taylor expansion of f in n 0.684 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.684 * [taylor]: Taking taylor expansion of n in n 0.686 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.686 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 0.686 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.686 * [taylor]: Taking taylor expansion of 1 in f 0.686 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.686 * [taylor]: Taking taylor expansion of -1 in f 0.686 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.686 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.686 * [taylor]: Taking taylor expansion of f in f 0.687 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.687 * [taylor]: Taking taylor expansion of n in f 0.687 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.687 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.687 * [taylor]: Taking taylor expansion of f in f 0.687 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.687 * [taylor]: Taking taylor expansion of n in f 0.690 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.690 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 0.690 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.690 * [taylor]: Taking taylor expansion of 1 in f 0.690 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.690 * [taylor]: Taking taylor expansion of -1 in f 0.690 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.690 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.690 * [taylor]: Taking taylor expansion of f in f 0.690 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.690 * [taylor]: Taking taylor expansion of n in f 0.690 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.690 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.690 * [taylor]: Taking taylor expansion of f in f 0.691 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.691 * [taylor]: Taking taylor expansion of n in f 0.694 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 0.694 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 0.694 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.694 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.694 * [taylor]: Taking taylor expansion of 2 in n 0.694 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.694 * [taylor]: Taking taylor expansion of n in n 0.695 * [taylor]: Taking taylor expansion of (log f) in n 0.695 * [taylor]: Taking taylor expansion of f in n 0.700 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.700 * [taylor]: Taking taylor expansion of n in n 0.708 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 0.708 * [taylor]: Taking taylor expansion of 1/2 in n 0.708 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.708 * [taylor]: Taking taylor expansion of n in n 0.721 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 0.721 * [taylor]: Taking taylor expansion of 1/3 in n 0.721 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.721 * [taylor]: Taking taylor expansion of n in n 0.726 * [approximate]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 0.727 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.727 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 0.727 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.727 * [taylor]: Taking taylor expansion of 1 in n 0.727 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.727 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.727 * [taylor]: Taking taylor expansion of f in n 0.727 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.727 * [taylor]: Taking taylor expansion of n in n 0.727 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.727 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.727 * [taylor]: Taking taylor expansion of n in n 0.727 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.727 * [taylor]: Taking taylor expansion of f in n 0.729 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.729 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 0.729 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.729 * [taylor]: Taking taylor expansion of 1 in f 0.729 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.729 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.729 * [taylor]: Taking taylor expansion of f in f 0.729 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.729 * [taylor]: Taking taylor expansion of n in f 0.729 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.729 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.729 * [taylor]: Taking taylor expansion of n in f 0.729 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.729 * [taylor]: Taking taylor expansion of f in f 0.732 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.732 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 0.732 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.732 * [taylor]: Taking taylor expansion of 1 in f 0.732 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.732 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.732 * [taylor]: Taking taylor expansion of f in f 0.732 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.733 * [taylor]: Taking taylor expansion of n in f 0.733 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.733 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.733 * [taylor]: Taking taylor expansion of n in f 0.733 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.733 * [taylor]: Taking taylor expansion of f in f 0.736 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 0.736 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 0.736 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.736 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.736 * [taylor]: Taking taylor expansion of 2 in n 0.736 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.736 * [taylor]: Taking taylor expansion of n in n 0.737 * [taylor]: Taking taylor expansion of (log f) in n 0.737 * [taylor]: Taking taylor expansion of f in n 0.741 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.741 * [taylor]: Taking taylor expansion of n in n 0.749 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 0.749 * [taylor]: Taking taylor expansion of 1/2 in n 0.749 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.749 * [taylor]: Taking taylor expansion of n in n 0.761 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 0.761 * [taylor]: Taking taylor expansion of 1/3 in n 0.761 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.761 * [taylor]: Taking taylor expansion of n in n 0.772 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.772 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.772 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.772 * [taylor]: Taking taylor expansion of -1 in n 0.772 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.772 * [taylor]: Taking taylor expansion of (+ n f) in n 0.772 * [taylor]: Taking taylor expansion of n in n 0.772 * [taylor]: Taking taylor expansion of f in n 0.772 * [taylor]: Taking taylor expansion of (- f n) in n 0.772 * [taylor]: Taking taylor expansion of f in n 0.772 * [taylor]: Taking taylor expansion of n in n 0.773 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.773 * [taylor]: Taking taylor expansion of -1 in f 0.773 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.773 * [taylor]: Taking taylor expansion of (+ n f) in f 0.773 * [taylor]: Taking taylor expansion of n in f 0.773 * [taylor]: Taking taylor expansion of f in f 0.773 * [taylor]: Taking taylor expansion of (- f n) in f 0.773 * [taylor]: Taking taylor expansion of f in f 0.773 * [taylor]: Taking taylor expansion of n in f 0.773 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.773 * [taylor]: Taking taylor expansion of -1 in f 0.773 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.773 * [taylor]: Taking taylor expansion of (+ n f) in f 0.773 * [taylor]: Taking taylor expansion of n in f 0.773 * [taylor]: Taking taylor expansion of f in f 0.773 * [taylor]: Taking taylor expansion of (- f n) in f 0.773 * [taylor]: Taking taylor expansion of f in f 0.773 * [taylor]: Taking taylor expansion of n in f 0.773 * [taylor]: Taking taylor expansion of 1 in n 0.774 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.774 * [taylor]: Taking taylor expansion of 2 in n 0.774 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.775 * [taylor]: Taking taylor expansion of n in n 0.777 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.777 * [taylor]: Taking taylor expansion of 2 in n 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.777 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.777 * [taylor]: Taking taylor expansion of n in n 0.782 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.782 * [taylor]: Taking taylor expansion of 2 in n 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.782 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.782 * [taylor]: Taking taylor expansion of n in n 0.788 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.788 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.788 * [taylor]: Taking taylor expansion of -1 in n 0.788 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.788 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.788 * [taylor]: Taking taylor expansion of f in n 0.788 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.788 * [taylor]: Taking taylor expansion of n in n 0.788 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.788 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.788 * [taylor]: Taking taylor expansion of f in n 0.789 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.789 * [taylor]: Taking taylor expansion of n in n 0.790 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.790 * [taylor]: Taking taylor expansion of -1 in f 0.790 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.790 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.790 * [taylor]: Taking taylor expansion of f in f 0.790 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.790 * [taylor]: Taking taylor expansion of n in f 0.790 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.790 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.790 * [taylor]: Taking taylor expansion of f in f 0.790 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.790 * [taylor]: Taking taylor expansion of n in f 0.791 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.791 * [taylor]: Taking taylor expansion of -1 in f 0.791 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.791 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.791 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.791 * [taylor]: Taking taylor expansion of f in f 0.792 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.792 * [taylor]: Taking taylor expansion of n in f 0.792 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.792 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.792 * [taylor]: Taking taylor expansion of f in f 0.792 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.792 * [taylor]: Taking taylor expansion of n in f 0.793 * [taylor]: Taking taylor expansion of -1 in n 0.794 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.794 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.794 * [taylor]: Taking taylor expansion of 2 in n 0.794 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.794 * [taylor]: Taking taylor expansion of n in n 0.799 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.799 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.799 * [taylor]: Taking taylor expansion of 2 in n 0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.799 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.799 * [taylor]: Taking taylor expansion of n in n 0.806 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.806 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.806 * [taylor]: Taking taylor expansion of 2 in n 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.806 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.806 * [taylor]: Taking taylor expansion of n in n 0.812 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.812 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.812 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.812 * [taylor]: Taking taylor expansion of f in n 0.812 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.812 * [taylor]: Taking taylor expansion of n in n 0.813 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.813 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.813 * [taylor]: Taking taylor expansion of n in n 0.813 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.813 * [taylor]: Taking taylor expansion of f in n 0.814 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.814 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.814 * [taylor]: Taking taylor expansion of f in f 0.814 * [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 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 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.815 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.815 * [taylor]: Taking taylor expansion of f in f 0.816 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.816 * [taylor]: Taking taylor expansion of n in f 0.816 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.816 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.816 * [taylor]: Taking taylor expansion of n in f 0.816 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.816 * [taylor]: Taking taylor expansion of f in f 0.817 * [taylor]: Taking taylor expansion of -1 in n 0.818 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.818 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.818 * [taylor]: Taking taylor expansion of 2 in n 0.818 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.818 * [taylor]: Taking taylor expansion of n in n 0.822 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.822 * [taylor]: Taking taylor expansion of 2 in n 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.822 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.822 * [taylor]: Taking taylor expansion of n in n 0.829 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.830 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.830 * [taylor]: Taking taylor expansion of 2 in n 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.830 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.830 * [taylor]: Taking taylor expansion of n in n 0.835 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.836 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 0.836 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in n 0.836 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 0.836 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in n 0.836 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in n 0.836 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 0.836 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in n 0.836 * [taylor]: Taking taylor expansion of 1 in n 0.836 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.836 * [taylor]: Taking taylor expansion of -1 in n 0.836 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.836 * [taylor]: Taking taylor expansion of (+ n f) in n 0.836 * [taylor]: Taking taylor expansion of n in n 0.836 * [taylor]: Taking taylor expansion of f in n 0.836 * [taylor]: Taking taylor expansion of (- f n) in n 0.836 * [taylor]: Taking taylor expansion of f in n 0.836 * [taylor]: Taking taylor expansion of n in n 0.839 * [taylor]: Taking taylor expansion of 1 in n 0.839 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in f 0.839 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 0.839 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in f 0.839 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 0.839 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 0.839 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 0.839 * [taylor]: Taking taylor expansion of 1 in f 0.839 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.839 * [taylor]: Taking taylor expansion of -1 in f 0.839 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.839 * [taylor]: Taking taylor expansion of (+ n f) in f 0.839 * [taylor]: Taking taylor expansion of n in f 0.839 * [taylor]: Taking taylor expansion of f in f 0.839 * [taylor]: Taking taylor expansion of (- f n) in f 0.839 * [taylor]: Taking taylor expansion of f in f 0.839 * [taylor]: Taking taylor expansion of n in f 0.841 * [taylor]: Taking taylor expansion of 1 in f 0.841 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in f 0.841 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 0.841 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in f 0.841 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 0.841 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 0.841 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 0.841 * [taylor]: Taking taylor expansion of 1 in f 0.841 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.841 * [taylor]: Taking taylor expansion of -1 in f 0.841 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.841 * [taylor]: Taking taylor expansion of (+ n f) in f 0.841 * [taylor]: Taking taylor expansion of n in f 0.841 * [taylor]: Taking taylor expansion of f in f 0.841 * [taylor]: Taking taylor expansion of (- f n) in f 0.841 * [taylor]: Taking taylor expansion of f in f 0.841 * [taylor]: Taking taylor expansion of n in f 0.843 * [taylor]: Taking taylor expansion of 1 in f 0.843 * [taylor]: Taking taylor expansion of 1 in n 0.847 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.847 * [taylor]: Taking taylor expansion of 2 in n 0.847 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.847 * [taylor]: Taking taylor expansion of n in n 0.856 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.856 * [taylor]: Taking taylor expansion of 2 in n 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.856 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.856 * [taylor]: Taking taylor expansion of n in n 0.865 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.865 * [taylor]: Taking taylor expansion of 2 in n 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.865 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.865 * [taylor]: Taking taylor expansion of n in n 0.871 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 0.871 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 0.871 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 0.871 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 0.871 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.871 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 0.871 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.871 * [taylor]: Taking taylor expansion of 1 in n 0.871 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.871 * [taylor]: Taking taylor expansion of -1 in n 0.871 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.871 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.871 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.871 * [taylor]: Taking taylor expansion of f in n 0.871 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.871 * [taylor]: Taking taylor expansion of n in n 0.871 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.871 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.871 * [taylor]: Taking taylor expansion of f in n 0.871 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.871 * [taylor]: Taking taylor expansion of n in n 0.874 * [taylor]: Taking taylor expansion of 1 in n 0.874 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.874 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 0.874 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.874 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.874 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 0.874 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.874 * [taylor]: Taking taylor expansion of 1 in f 0.874 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.874 * [taylor]: Taking taylor expansion of -1 in f 0.874 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.874 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.874 * [taylor]: Taking taylor expansion of f in f 0.875 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.875 * [taylor]: Taking taylor expansion of n in f 0.875 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.875 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.875 * [taylor]: Taking taylor expansion of f in f 0.875 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.875 * [taylor]: Taking taylor expansion of n in f 0.878 * [taylor]: Taking taylor expansion of 1 in f 0.878 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.879 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 0.879 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.879 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.879 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 0.879 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.879 * [taylor]: Taking taylor expansion of 1 in f 0.879 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.879 * [taylor]: Taking taylor expansion of -1 in f 0.879 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.879 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.879 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.879 * [taylor]: Taking taylor expansion of f in f 0.879 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.879 * [taylor]: Taking taylor expansion of n in f 0.879 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.879 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.879 * [taylor]: Taking taylor expansion of f in f 0.879 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.879 * [taylor]: Taking taylor expansion of n in f 0.883 * [taylor]: Taking taylor expansion of 1 in f 0.884 * [taylor]: Taking taylor expansion of (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) in n 0.884 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 0.884 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 0.884 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 0.884 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.884 * [taylor]: Taking taylor expansion of 2 in n 0.884 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.884 * [taylor]: Taking taylor expansion of n in n 0.885 * [taylor]: Taking taylor expansion of (log f) in n 0.885 * [taylor]: Taking taylor expansion of f in n 0.886 * [taylor]: Taking taylor expansion of 1 in n 0.891 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) in n 0.891 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 0.891 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 0.891 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 0.891 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.891 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.891 * [taylor]: Taking taylor expansion of 2 in n 0.891 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.891 * [taylor]: Taking taylor expansion of n in n 0.892 * [taylor]: Taking taylor expansion of (log f) in n 0.893 * [taylor]: Taking taylor expansion of f in n 0.894 * [taylor]: Taking taylor expansion of n in n 0.907 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) in n 0.907 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 0.907 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 0.907 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 0.907 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.908 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.908 * [taylor]: Taking taylor expansion of 2 in n 0.908 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.908 * [taylor]: Taking taylor expansion of n in n 0.909 * [taylor]: Taking taylor expansion of (log f) in n 0.909 * [taylor]: Taking taylor expansion of f in n 0.910 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.910 * [taylor]: Taking taylor expansion of n in n 0.946 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) in n 0.946 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 0.946 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 0.946 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 0.946 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.946 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.946 * [taylor]: Taking taylor expansion of 2 in n 0.946 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.946 * [taylor]: Taking taylor expansion of n in n 0.947 * [taylor]: Taking taylor expansion of (log f) in n 0.947 * [taylor]: Taking taylor expansion of f in n 0.948 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.948 * [taylor]: Taking taylor expansion of n in n 0.974 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 0.974 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 0.974 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 0.974 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 0.974 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.974 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 0.974 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.974 * [taylor]: Taking taylor expansion of 1 in n 0.974 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.974 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.974 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.974 * [taylor]: Taking taylor expansion of f in n 0.974 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.974 * [taylor]: Taking taylor expansion of n in n 0.974 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.974 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.974 * [taylor]: Taking taylor expansion of n in n 0.975 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.975 * [taylor]: Taking taylor expansion of f in n 0.977 * [taylor]: Taking taylor expansion of 1 in n 0.977 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 0.977 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 0.977 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 0.977 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.977 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 0.977 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.977 * [taylor]: Taking taylor expansion of 1 in f 0.977 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.977 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.977 * [taylor]: Taking taylor expansion of f in f 0.977 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.977 * [taylor]: Taking taylor expansion of n in f 0.977 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.977 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.977 * [taylor]: Taking taylor expansion of n in f 0.977 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.977 * [taylor]: Taking taylor expansion of f in f 0.981 * [taylor]: Taking taylor expansion of 1 in f 0.981 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 0.981 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 0.981 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 0.981 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.981 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 0.981 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.981 * [taylor]: Taking taylor expansion of 1 in f 0.981 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.981 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.981 * [taylor]: Taking taylor expansion of f in f 0.981 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.981 * [taylor]: Taking taylor expansion of n in f 0.981 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.981 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.981 * [taylor]: Taking taylor expansion of n in f 0.981 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.981 * [taylor]: Taking taylor expansion of f in f 0.985 * [taylor]: Taking taylor expansion of 1 in f 0.985 * [taylor]: Taking taylor expansion of (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) in n 0.985 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 0.985 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 0.985 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 0.985 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.985 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.985 * [taylor]: Taking taylor expansion of 2 in n 0.985 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.985 * [taylor]: Taking taylor expansion of n in n 0.987 * [taylor]: Taking taylor expansion of (log f) in n 0.987 * [taylor]: Taking taylor expansion of f in n 0.988 * [taylor]: Taking taylor expansion of 1 in n 0.992 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) in n 0.993 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 0.993 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 0.993 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 0.993 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.993 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.993 * [taylor]: Taking taylor expansion of 2 in n 0.993 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.993 * [taylor]: Taking taylor expansion of n in n 0.994 * [taylor]: Taking taylor expansion of (log f) in n 0.994 * [taylor]: Taking taylor expansion of f in n 0.995 * [taylor]: Taking taylor expansion of n in n 1.008 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) in n 1.008 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 1.008 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 1.008 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 1.008 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.008 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.008 * [taylor]: Taking taylor expansion of 2 in n 1.008 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.008 * [taylor]: Taking taylor expansion of n in n 1.010 * [taylor]: Taking taylor expansion of (log f) in n 1.010 * [taylor]: Taking taylor expansion of f in n 1.011 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.011 * [taylor]: Taking taylor expansion of n in n 1.047 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) in n 1.047 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 1.047 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 1.047 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 1.047 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.047 * [taylor]: Taking taylor expansion of 2 in n 1.047 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.047 * [taylor]: Taking taylor expansion of n in n 1.048 * [taylor]: Taking taylor expansion of (log f) in n 1.049 * [taylor]: Taking taylor expansion of f in n 1.050 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.050 * [taylor]: Taking taylor expansion of n in n 1.075 * * * [progress]: simplifying candidates 1.077 * [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) 1.083 * * [simplify]: iteration 0 : 364 enodes (cost 946 ) 1.088 * * [simplify]: iteration 1 : 1083 enodes (cost 907 ) 1.103 * * [simplify]: iteration 2 : 3442 enodes (cost 885 ) 1.144 * * [simplify]: iteration 3 : 5001 enodes (cost 884 ) 1.149 * [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) 1.149 * * * [progress]: adding candidates to table 1.402 * * [progress]: iteration 3 / 4 1.402 * * * [progress]: picking best candidate 1.409 * * * * [pick]: Picked # 1.409 * * * [progress]: localizing error 1.419 * * * [progress]: generating rewritten candidates 1.419 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.420 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.439 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.439 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.479 * * * [progress]: generating series expansions 1.479 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.479 * [approximate]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 1.479 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in n 1.479 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 1.479 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in n 1.479 * [taylor]: Taking taylor expansion of 1 in n 1.479 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.479 * [taylor]: Taking taylor expansion of -1 in n 1.479 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.479 * [taylor]: Taking taylor expansion of (+ n f) in n 1.479 * [taylor]: Taking taylor expansion of n in n 1.479 * [taylor]: Taking taylor expansion of f in n 1.479 * [taylor]: Taking taylor expansion of (- f n) in n 1.479 * [taylor]: Taking taylor expansion of f in n 1.479 * [taylor]: Taking taylor expansion of n in n 1.482 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 1.482 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 1.482 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 1.482 * [taylor]: Taking taylor expansion of 1 in f 1.482 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.482 * [taylor]: Taking taylor expansion of -1 in f 1.482 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.482 * [taylor]: Taking taylor expansion of (+ n f) in f 1.482 * [taylor]: Taking taylor expansion of n in f 1.482 * [taylor]: Taking taylor expansion of f in f 1.482 * [taylor]: Taking taylor expansion of (- f n) in f 1.482 * [taylor]: Taking taylor expansion of f in f 1.482 * [taylor]: Taking taylor expansion of n in f 1.483 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 1.483 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 1.483 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 1.483 * [taylor]: Taking taylor expansion of 1 in f 1.483 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.483 * [taylor]: Taking taylor expansion of -1 in f 1.483 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.483 * [taylor]: Taking taylor expansion of (+ n f) in f 1.483 * [taylor]: Taking taylor expansion of n in f 1.483 * [taylor]: Taking taylor expansion of f in f 1.483 * [taylor]: Taking taylor expansion of (- f n) in f 1.483 * [taylor]: Taking taylor expansion of f in f 1.483 * [taylor]: Taking taylor expansion of n in f 1.484 * [taylor]: Taking taylor expansion of (log 2) in n 1.484 * [taylor]: Taking taylor expansion of 2 in n 1.487 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.487 * [taylor]: Taking taylor expansion of n in n 1.491 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 1.491 * [taylor]: Taking taylor expansion of 1/2 in n 1.491 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.491 * [taylor]: Taking taylor expansion of n in n 1.498 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 1.498 * [taylor]: Taking taylor expansion of 1/3 in n 1.498 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.498 * [taylor]: Taking taylor expansion of n in n 1.504 * [approximate]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 1.504 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.504 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1.504 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.504 * [taylor]: Taking taylor expansion of 1 in n 1.504 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.504 * [taylor]: Taking taylor expansion of -1 in n 1.504 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.504 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.504 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.504 * [taylor]: Taking taylor expansion of f in n 1.504 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.504 * [taylor]: Taking taylor expansion of n in n 1.504 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.504 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.505 * [taylor]: Taking taylor expansion of f in n 1.505 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.505 * [taylor]: Taking taylor expansion of n in n 1.506 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.507 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1.507 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.507 * [taylor]: Taking taylor expansion of 1 in f 1.507 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.507 * [taylor]: Taking taylor expansion of -1 in f 1.507 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.507 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.507 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.507 * [taylor]: Taking taylor expansion of f in f 1.507 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.507 * [taylor]: Taking taylor expansion of n in f 1.507 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.507 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.507 * [taylor]: Taking taylor expansion of f in f 1.507 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.507 * [taylor]: Taking taylor expansion of n in f 1.510 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.510 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1.510 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.510 * [taylor]: Taking taylor expansion of 1 in f 1.510 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.510 * [taylor]: Taking taylor expansion of -1 in f 1.510 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.510 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.510 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.510 * [taylor]: Taking taylor expansion of f in f 1.511 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.511 * [taylor]: Taking taylor expansion of n in f 1.511 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.511 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.511 * [taylor]: Taking taylor expansion of f in f 1.511 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.511 * [taylor]: Taking taylor expansion of n in f 1.514 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 1.514 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 1.514 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.514 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.514 * [taylor]: Taking taylor expansion of 2 in n 1.514 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.514 * [taylor]: Taking taylor expansion of n in n 1.522 * [taylor]: Taking taylor expansion of (log f) in n 1.522 * [taylor]: Taking taylor expansion of f in n 1.527 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.528 * [taylor]: Taking taylor expansion of n in n 1.535 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 1.536 * [taylor]: Taking taylor expansion of 1/2 in n 1.536 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.536 * [taylor]: Taking taylor expansion of n in n 1.548 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 1.548 * [taylor]: Taking taylor expansion of 1/3 in n 1.548 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.548 * [taylor]: Taking taylor expansion of n in n 1.554 * [approximate]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 1.554 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.554 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1.554 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.554 * [taylor]: Taking taylor expansion of 1 in n 1.554 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.554 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.554 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.554 * [taylor]: Taking taylor expansion of f in n 1.555 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.555 * [taylor]: Taking taylor expansion of n in n 1.555 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.555 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.555 * [taylor]: Taking taylor expansion of n in n 1.555 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.555 * [taylor]: Taking taylor expansion of f in n 1.556 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.556 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1.556 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.557 * [taylor]: Taking taylor expansion of 1 in f 1.557 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.557 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.557 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.557 * [taylor]: Taking taylor expansion of f in f 1.557 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.557 * [taylor]: Taking taylor expansion of n in f 1.557 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.557 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.557 * [taylor]: Taking taylor expansion of n in f 1.557 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.557 * [taylor]: Taking taylor expansion of f in f 1.560 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.560 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1.560 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.560 * [taylor]: Taking taylor expansion of 1 in f 1.560 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.560 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.560 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.560 * [taylor]: Taking taylor expansion of f in f 1.560 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.560 * [taylor]: Taking taylor expansion of n in f 1.560 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.560 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.560 * [taylor]: Taking taylor expansion of n in f 1.560 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.560 * [taylor]: Taking taylor expansion of f in f 1.563 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 1.564 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 1.564 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.564 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.564 * [taylor]: Taking taylor expansion of 2 in n 1.564 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.564 * [taylor]: Taking taylor expansion of n in n 1.565 * [taylor]: Taking taylor expansion of (log f) in n 1.565 * [taylor]: Taking taylor expansion of f in n 1.569 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.569 * [taylor]: Taking taylor expansion of n in n 1.576 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 1.576 * [taylor]: Taking taylor expansion of 1/2 in n 1.576 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.576 * [taylor]: Taking taylor expansion of n in n 1.588 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 1.588 * [taylor]: Taking taylor expansion of 1/3 in n 1.588 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.588 * [taylor]: Taking taylor expansion of n in n 1.593 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.594 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.594 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.594 * [taylor]: Taking taylor expansion of -1 in n 1.594 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.594 * [taylor]: Taking taylor expansion of (+ n f) in n 1.594 * [taylor]: Taking taylor expansion of n in n 1.594 * [taylor]: Taking taylor expansion of f in n 1.594 * [taylor]: Taking taylor expansion of (- f n) in n 1.594 * [taylor]: Taking taylor expansion of f in n 1.594 * [taylor]: Taking taylor expansion of n in n 1.594 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.594 * [taylor]: Taking taylor expansion of -1 in f 1.594 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.594 * [taylor]: Taking taylor expansion of (+ n f) in f 1.594 * [taylor]: Taking taylor expansion of n in f 1.594 * [taylor]: Taking taylor expansion of f in f 1.594 * [taylor]: Taking taylor expansion of (- f n) in f 1.594 * [taylor]: Taking taylor expansion of f in f 1.594 * [taylor]: Taking taylor expansion of n in f 1.594 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.594 * [taylor]: Taking taylor expansion of -1 in f 1.594 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.594 * [taylor]: Taking taylor expansion of (+ n f) in f 1.594 * [taylor]: Taking taylor expansion of n in f 1.594 * [taylor]: Taking taylor expansion of f in f 1.594 * [taylor]: Taking taylor expansion of (- f n) in f 1.594 * [taylor]: Taking taylor expansion of f in f 1.594 * [taylor]: Taking taylor expansion of n in f 1.595 * [taylor]: Taking taylor expansion of 1 in n 1.596 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.596 * [taylor]: Taking taylor expansion of 2 in n 1.596 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.596 * [taylor]: Taking taylor expansion of n in n 1.599 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.599 * [taylor]: Taking taylor expansion of 2 in n 1.599 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.599 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.599 * [taylor]: Taking taylor expansion of n in n 1.605 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.605 * [taylor]: Taking taylor expansion of 2 in n 1.605 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.605 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.605 * [taylor]: Taking taylor expansion of n in n 1.616 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.616 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.616 * [taylor]: Taking taylor expansion of -1 in n 1.616 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.616 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.616 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.616 * [taylor]: Taking taylor expansion of f in n 1.616 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.616 * [taylor]: Taking taylor expansion of n in n 1.616 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.616 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.616 * [taylor]: Taking taylor expansion of f in n 1.616 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.616 * [taylor]: Taking taylor expansion of n in n 1.617 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.618 * [taylor]: Taking taylor expansion of -1 in f 1.618 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.618 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.618 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.618 * [taylor]: Taking taylor expansion of f in f 1.618 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.618 * [taylor]: Taking taylor expansion of n in f 1.618 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.618 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.618 * [taylor]: Taking taylor expansion of f in f 1.618 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.618 * [taylor]: Taking taylor expansion of n in f 1.619 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.619 * [taylor]: Taking taylor expansion of -1 in f 1.619 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.619 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.619 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.619 * [taylor]: Taking taylor expansion of f in f 1.619 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.619 * [taylor]: Taking taylor expansion of n in f 1.619 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.619 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.619 * [taylor]: Taking taylor expansion of f in f 1.620 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.620 * [taylor]: Taking taylor expansion of n in f 1.621 * [taylor]: Taking taylor expansion of -1 in n 1.622 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.622 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.622 * [taylor]: Taking taylor expansion of 2 in n 1.622 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.622 * [taylor]: Taking taylor expansion of n in n 1.626 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.626 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.626 * [taylor]: Taking taylor expansion of 2 in n 1.626 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.626 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.626 * [taylor]: Taking taylor expansion of n in n 1.634 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.634 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.634 * [taylor]: Taking taylor expansion of 2 in n 1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.634 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.634 * [taylor]: Taking taylor expansion of n in n 1.640 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.640 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.640 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.640 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.640 * [taylor]: Taking taylor expansion of f in n 1.640 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.640 * [taylor]: Taking taylor expansion of n in n 1.640 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.640 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.640 * [taylor]: Taking taylor expansion of n in n 1.641 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.641 * [taylor]: Taking taylor expansion of f in n 1.641 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.642 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.642 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.642 * [taylor]: Taking taylor expansion of f in f 1.642 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.642 * [taylor]: Taking taylor expansion of n in f 1.642 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.642 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.642 * [taylor]: Taking taylor expansion of n in f 1.642 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.642 * [taylor]: Taking taylor expansion of f in f 1.643 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.643 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.643 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.643 * [taylor]: Taking taylor expansion of f in f 1.643 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.644 * [taylor]: Taking taylor expansion of n in f 1.644 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.644 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.644 * [taylor]: Taking taylor expansion of n in f 1.644 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.644 * [taylor]: Taking taylor expansion of f in f 1.645 * [taylor]: Taking taylor expansion of -1 in n 1.646 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.646 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.646 * [taylor]: Taking taylor expansion of 2 in n 1.646 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.646 * [taylor]: Taking taylor expansion of n in n 1.650 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.651 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.651 * [taylor]: Taking taylor expansion of 2 in n 1.651 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.651 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.651 * [taylor]: Taking taylor expansion of n in n 1.658 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.658 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.658 * [taylor]: Taking taylor expansion of 2 in n 1.658 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.658 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.658 * [taylor]: Taking taylor expansion of n in n 1.664 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.664 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 1.664 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in n 1.664 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 1.664 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in n 1.664 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in n 1.664 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 1.664 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in n 1.664 * [taylor]: Taking taylor expansion of 1 in n 1.664 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.664 * [taylor]: Taking taylor expansion of -1 in n 1.664 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.664 * [taylor]: Taking taylor expansion of (+ n f) in n 1.664 * [taylor]: Taking taylor expansion of n in n 1.664 * [taylor]: Taking taylor expansion of f in n 1.664 * [taylor]: Taking taylor expansion of (- f n) in n 1.664 * [taylor]: Taking taylor expansion of f in n 1.664 * [taylor]: Taking taylor expansion of n in n 1.667 * [taylor]: Taking taylor expansion of 1 in n 1.667 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in f 1.667 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 1.667 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in f 1.667 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 1.667 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 1.667 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 1.668 * [taylor]: Taking taylor expansion of 1 in f 1.668 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.668 * [taylor]: Taking taylor expansion of -1 in f 1.668 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.668 * [taylor]: Taking taylor expansion of (+ n f) in f 1.668 * [taylor]: Taking taylor expansion of n in f 1.668 * [taylor]: Taking taylor expansion of f in f 1.668 * [taylor]: Taking taylor expansion of (- f n) in f 1.668 * [taylor]: Taking taylor expansion of f in f 1.668 * [taylor]: Taking taylor expansion of n in f 1.669 * [taylor]: Taking taylor expansion of 1 in f 1.669 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in f 1.669 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 1.669 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in f 1.669 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 1.669 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 1.669 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 1.669 * [taylor]: Taking taylor expansion of 1 in f 1.669 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.670 * [taylor]: Taking taylor expansion of -1 in f 1.670 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.670 * [taylor]: Taking taylor expansion of (+ n f) in f 1.670 * [taylor]: Taking taylor expansion of n in f 1.670 * [taylor]: Taking taylor expansion of f in f 1.670 * [taylor]: Taking taylor expansion of (- f n) in f 1.670 * [taylor]: Taking taylor expansion of f in f 1.670 * [taylor]: Taking taylor expansion of n in f 1.671 * [taylor]: Taking taylor expansion of 1 in f 1.672 * [taylor]: Taking taylor expansion of 1 in n 1.674 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.674 * [taylor]: Taking taylor expansion of 2 in n 1.674 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.674 * [taylor]: Taking taylor expansion of n in n 1.679 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.679 * [taylor]: Taking taylor expansion of 2 in n 1.679 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.679 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.679 * [taylor]: Taking taylor expansion of n in n 1.687 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.688 * [taylor]: Taking taylor expansion of 2 in n 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.688 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.688 * [taylor]: Taking taylor expansion of n in n 1.693 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 1.693 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 1.693 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 1.693 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 1.693 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.693 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1.694 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.694 * [taylor]: Taking taylor expansion of 1 in n 1.694 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.694 * [taylor]: Taking taylor expansion of -1 in n 1.694 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.694 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.694 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.694 * [taylor]: Taking taylor expansion of f in n 1.694 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.694 * [taylor]: Taking taylor expansion of n in n 1.699 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.699 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.699 * [taylor]: Taking taylor expansion of f in n 1.699 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.699 * [taylor]: Taking taylor expansion of n in n 1.702 * [taylor]: Taking taylor expansion of 1 in n 1.702 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.702 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 1.702 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.702 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.702 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1.702 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.702 * [taylor]: Taking taylor expansion of 1 in f 1.702 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.702 * [taylor]: Taking taylor expansion of -1 in f 1.702 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.702 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.702 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.702 * [taylor]: Taking taylor expansion of f in f 1.702 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.702 * [taylor]: Taking taylor expansion of n in f 1.703 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.703 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.703 * [taylor]: Taking taylor expansion of f in f 1.703 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.703 * [taylor]: Taking taylor expansion of n in f 1.706 * [taylor]: Taking taylor expansion of 1 in f 1.706 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.707 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 1.707 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.707 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.707 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1.707 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.707 * [taylor]: Taking taylor expansion of 1 in f 1.707 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.707 * [taylor]: Taking taylor expansion of -1 in f 1.707 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.707 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.707 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.707 * [taylor]: Taking taylor expansion of f in f 1.707 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.707 * [taylor]: Taking taylor expansion of n in f 1.707 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.707 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.707 * [taylor]: Taking taylor expansion of f in f 1.707 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.707 * [taylor]: Taking taylor expansion of n in f 1.711 * [taylor]: Taking taylor expansion of 1 in f 1.711 * [taylor]: Taking taylor expansion of (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) in n 1.712 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 1.712 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 1.712 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 1.712 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.712 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.712 * [taylor]: Taking taylor expansion of 2 in n 1.712 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.712 * [taylor]: Taking taylor expansion of n in n 1.713 * [taylor]: Taking taylor expansion of (log f) in n 1.713 * [taylor]: Taking taylor expansion of f in n 1.714 * [taylor]: Taking taylor expansion of 1 in n 1.719 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) in n 1.719 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 1.719 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 1.719 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 1.719 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.719 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.719 * [taylor]: Taking taylor expansion of 2 in n 1.719 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.720 * [taylor]: Taking taylor expansion of n in n 1.721 * [taylor]: Taking taylor expansion of (log f) in n 1.721 * [taylor]: Taking taylor expansion of f in n 1.722 * [taylor]: Taking taylor expansion of n in n 1.736 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) in n 1.736 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 1.736 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 1.736 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 1.736 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.736 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.736 * [taylor]: Taking taylor expansion of 2 in n 1.736 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.736 * [taylor]: Taking taylor expansion of n in n 1.737 * [taylor]: Taking taylor expansion of (log f) in n 1.737 * [taylor]: Taking taylor expansion of f in n 1.739 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.739 * [taylor]: Taking taylor expansion of n in n 1.771 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) in n 1.771 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 1.771 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 1.771 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 1.771 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.771 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.771 * [taylor]: Taking taylor expansion of 2 in n 1.771 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.771 * [taylor]: Taking taylor expansion of n in n 1.772 * [taylor]: Taking taylor expansion of (log f) in n 1.772 * [taylor]: Taking taylor expansion of f in n 1.773 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.773 * [taylor]: Taking taylor expansion of n in n 1.804 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 1.804 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 1.804 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 1.804 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 1.804 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.804 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1.804 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.804 * [taylor]: Taking taylor expansion of 1 in n 1.804 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.804 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.804 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.804 * [taylor]: Taking taylor expansion of f in n 1.804 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.804 * [taylor]: Taking taylor expansion of n in n 1.805 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.805 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.805 * [taylor]: Taking taylor expansion of n in n 1.805 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.805 * [taylor]: Taking taylor expansion of f in n 1.807 * [taylor]: Taking taylor expansion of 1 in n 1.807 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.807 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 1.807 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.807 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.807 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1.807 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.807 * [taylor]: Taking taylor expansion of 1 in f 1.807 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.807 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.807 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.807 * [taylor]: Taking taylor expansion of f in f 1.808 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.808 * [taylor]: Taking taylor expansion of n in f 1.808 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.808 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.808 * [taylor]: Taking taylor expansion of n in f 1.808 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.808 * [taylor]: Taking taylor expansion of f in f 1.812 * [taylor]: Taking taylor expansion of 1 in f 1.812 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.812 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 1.812 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.812 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.812 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1.812 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.812 * [taylor]: Taking taylor expansion of 1 in f 1.812 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.812 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.812 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.812 * [taylor]: Taking taylor expansion of f in f 1.812 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.812 * [taylor]: Taking taylor expansion of n in f 1.812 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.813 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.813 * [taylor]: Taking taylor expansion of n in f 1.813 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.813 * [taylor]: Taking taylor expansion of f in f 1.816 * [taylor]: Taking taylor expansion of 1 in f 1.817 * [taylor]: Taking taylor expansion of (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) in n 1.817 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 1.817 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 1.817 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 1.817 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.817 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.817 * [taylor]: Taking taylor expansion of 2 in n 1.817 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.817 * [taylor]: Taking taylor expansion of n in n 1.818 * [taylor]: Taking taylor expansion of (log f) in n 1.818 * [taylor]: Taking taylor expansion of f in n 1.819 * [taylor]: Taking taylor expansion of 1 in n 1.824 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) in n 1.824 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 1.824 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 1.824 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 1.824 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.824 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.824 * [taylor]: Taking taylor expansion of 2 in n 1.824 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.824 * [taylor]: Taking taylor expansion of n in n 1.825 * [taylor]: Taking taylor expansion of (log f) in n 1.825 * [taylor]: Taking taylor expansion of f in n 1.826 * [taylor]: Taking taylor expansion of n in n 1.840 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) in n 1.840 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 1.840 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 1.840 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 1.840 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.840 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.840 * [taylor]: Taking taylor expansion of 2 in n 1.840 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.840 * [taylor]: Taking taylor expansion of n in n 1.842 * [taylor]: Taking taylor expansion of (log f) in n 1.842 * [taylor]: Taking taylor expansion of f in n 1.843 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.843 * [taylor]: Taking taylor expansion of n in n 1.879 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) in n 1.879 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 1.879 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 1.879 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 1.879 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.879 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.879 * [taylor]: Taking taylor expansion of 2 in n 1.880 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.880 * [taylor]: Taking taylor expansion of n in n 1.881 * [taylor]: Taking taylor expansion of (log f) in n 1.881 * [taylor]: Taking taylor expansion of f in n 1.882 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.882 * [taylor]: Taking taylor expansion of n in n 1.907 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.907 * [approximate]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in (f n) around 0 1.907 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in n 1.907 * [taylor]: Taking taylor expansion of -1 in n 1.907 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.907 * [taylor]: Taking taylor expansion of (- f n) in n 1.907 * [taylor]: Taking taylor expansion of f in n 1.907 * [taylor]: Taking taylor expansion of n in n 1.907 * [taylor]: Taking taylor expansion of (+ n f) in n 1.907 * [taylor]: Taking taylor expansion of n in n 1.908 * [taylor]: Taking taylor expansion of f in n 1.908 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 1.908 * [taylor]: Taking taylor expansion of -1 in f 1.908 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.908 * [taylor]: Taking taylor expansion of (- f n) in f 1.908 * [taylor]: Taking taylor expansion of f in f 1.908 * [taylor]: Taking taylor expansion of n in f 1.908 * [taylor]: Taking taylor expansion of (+ n f) in f 1.908 * [taylor]: Taking taylor expansion of n in f 1.908 * [taylor]: Taking taylor expansion of f in f 1.908 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 1.908 * [taylor]: Taking taylor expansion of -1 in f 1.908 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.908 * [taylor]: Taking taylor expansion of (- f n) in f 1.908 * [taylor]: Taking taylor expansion of f in f 1.908 * [taylor]: Taking taylor expansion of n in f 1.908 * [taylor]: Taking taylor expansion of (+ n f) in f 1.908 * [taylor]: Taking taylor expansion of n in f 1.908 * [taylor]: Taking taylor expansion of f in f 1.909 * [taylor]: Taking taylor expansion of 1 in n 1.910 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.910 * [taylor]: Taking taylor expansion of 2 in n 1.910 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.910 * [taylor]: Taking taylor expansion of n in n 1.913 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.913 * [taylor]: Taking taylor expansion of 2 in n 1.913 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.913 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.913 * [taylor]: Taking taylor expansion of n in n 1.918 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.918 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.919 * [taylor]: Taking taylor expansion of 2 in n 1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.919 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.919 * [taylor]: Taking taylor expansion of n in n 1.924 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 1.924 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 1.924 * [taylor]: Taking taylor expansion of -1 in n 1.924 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.924 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.924 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.924 * [taylor]: Taking taylor expansion of f in n 1.924 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.924 * [taylor]: Taking taylor expansion of n in n 1.925 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.925 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.925 * [taylor]: Taking taylor expansion of f in n 1.925 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.925 * [taylor]: Taking taylor expansion of n in n 1.926 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.926 * [taylor]: Taking taylor expansion of -1 in f 1.926 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.926 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.926 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.926 * [taylor]: Taking taylor expansion of f in f 1.926 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.926 * [taylor]: Taking taylor expansion of n in f 1.926 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.926 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.926 * [taylor]: Taking taylor expansion of f in f 1.927 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.927 * [taylor]: Taking taylor expansion of n in f 1.927 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.928 * [taylor]: Taking taylor expansion of -1 in f 1.928 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.928 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.928 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.928 * [taylor]: Taking taylor expansion of f in f 1.928 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.928 * [taylor]: Taking taylor expansion of n in f 1.928 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.928 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.928 * [taylor]: Taking taylor expansion of f in f 1.928 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.928 * [taylor]: Taking taylor expansion of n in f 1.929 * [taylor]: Taking taylor expansion of -1 in n 1.931 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.931 * [taylor]: Taking taylor expansion of 2 in n 1.931 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.931 * [taylor]: Taking taylor expansion of n in n 1.935 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.935 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.935 * [taylor]: Taking taylor expansion of 2 in n 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.935 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.935 * [taylor]: Taking taylor expansion of n in n 1.942 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.942 * [taylor]: Taking taylor expansion of 2 in n 1.942 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.942 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.942 * [taylor]: Taking taylor expansion of n in n 1.948 * [approximate]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 1.948 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.948 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.948 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.948 * [taylor]: Taking taylor expansion of n in n 1.948 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.948 * [taylor]: Taking taylor expansion of f in n 1.948 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.948 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.948 * [taylor]: Taking taylor expansion of f in n 1.948 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.948 * [taylor]: Taking taylor expansion of n in n 1.949 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.949 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.949 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.949 * [taylor]: Taking taylor expansion of n in f 1.949 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.949 * [taylor]: Taking taylor expansion of f in f 1.950 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.950 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.950 * [taylor]: Taking taylor expansion of f in f 1.950 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.950 * [taylor]: Taking taylor expansion of n in f 1.951 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.951 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.951 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.951 * [taylor]: Taking taylor expansion of n in f 1.951 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.951 * [taylor]: Taking taylor expansion of f in f 1.951 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.951 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.951 * [taylor]: Taking taylor expansion of f in f 1.951 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.952 * [taylor]: Taking taylor expansion of n in f 1.953 * [taylor]: Taking taylor expansion of -1 in n 1.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.954 * [taylor]: Taking taylor expansion of 2 in n 1.954 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.954 * [taylor]: Taking taylor expansion of n in n 1.957 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.957 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.957 * [taylor]: Taking taylor expansion of 2 in n 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.957 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.957 * [taylor]: Taking taylor expansion of n in n 1.969 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.969 * [taylor]: Taking taylor expansion of 2 in n 1.969 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.969 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.969 * [taylor]: Taking taylor expansion of n in n 1.975 * * * [progress]: simplifying candidates 1.982 * [simplify]: Simplifying using # : (+ 1 (/ 1 (/ (- f n) (- (+ f n))))) (expm1 (log1p (/ 1 (/ (- f n) (- (+ f n)))))) (log1p (log1p (/ 1 (/ (- f n) (- (+ f n)))))) (log (log1p (/ 1 (/ (- f n) (- (+ f n)))))) (exp (log1p (/ 1 (/ (- f n) (- (+ f n)))))) (* (cbrt (log1p (/ 1 (/ (- f n) (- (+ f n)))))) (cbrt (log1p (/ 1 (/ (- f n) (- (+ f n))))))) (cbrt (log1p (/ 1 (/ (- f n) (- (+ f n)))))) (* (* (log1p (/ 1 (/ (- f n) (- (+ f n))))) (log1p (/ 1 (/ (- f n) (- (+ f n)))))) (log1p (/ 1 (/ (- f n) (- (+ f n)))))) (sqrt (log1p (/ 1 (/ (- f n) (- (+ f n)))))) (sqrt (log1p (/ 1 (/ (- f n) (- (+ f n)))))) (expm1 (/ 1 (/ (- f n) (- (+ f n))))) (log1p (/ 1 (/ (- f n) (- (+ f n))))) (- 1) (- (- (log (- f n)) (log (- (+ f n))))) (- (log (/ (- f n) (- (+ f n))))) (- 0 (- (log (- f n)) (log (- (+ f n))))) (- 0 (log (/ (- f n) (- (+ f n))))) (- (log 1) (- (log (- f n)) (log (- (+ f n))))) (- (log 1) (log (/ (- f n) (- (+ f n))))) (log (/ 1 (/ (- f n) (- (+ f n))))) (exp (/ 1 (/ (- f n) (- (+ f n))))) (/ (* (* 1 1) 1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))))) (/ (* (* 1 1) 1) (* (* (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n)))) (/ (- f n) (- (+ f n))))) (* (cbrt (/ 1 (/ (- f n) (- (+ f n))))) (cbrt (/ 1 (/ (- f n) (- (+ f n)))))) (cbrt (/ 1 (/ (- f n) (- (+ f n))))) (* (* (/ 1 (/ (- f n) (- (+ f n)))) (/ 1 (/ (- f n) (- (+ f n))))) (/ 1 (/ (- f n) (- (+ f n))))) (sqrt (/ 1 (/ (- f n) (- (+ f n))))) (sqrt (/ 1 (/ (- f n) (- (+ f n))))) (- 1) (- (/ (- f n) (- (+ f n)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n)))))) (/ (cbrt 1) (cbrt (/ (- f n) (- (+ f n))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- f n) (- (+ f n))))) (/ (cbrt 1) (sqrt (/ (- f n) (- (+ f n))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))))) (/ (cbrt 1) (/ (cbrt (- f n)) (cbrt (- (+ f n))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (- (+ f n))))) (/ (cbrt 1) (/ (cbrt (- f n)) (sqrt (- (+ f n))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt 1) (/ (cbrt (- f n)) (- (+ f n)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) -1)) (/ (cbrt 1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))))) (/ (cbrt 1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (- (sqrt (+ f n))))) (/ (cbrt 1) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (- 1))) (/ (cbrt 1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (- 1))) (/ (cbrt 1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt 1) (/ (cbrt (- f n)) (- (cbrt (+ f n))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (cbrt 1) (/ (cbrt (- f n)) (- (sqrt (+ f n))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt 1) (/ (cbrt (- f n)) (- (+ f n)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt 1) (/ (cbrt (- f n)) (- (+ f n)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- f n)) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))))) (/ (cbrt 1) (/ (sqrt (- f n)) (cbrt (- (+ f n))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- f n)) (sqrt (- (+ f n))))) (/ (cbrt 1) (/ (sqrt (- f n)) (sqrt (- (+ f n))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- f n)) 1)) (/ (cbrt 1) (/ (sqrt (- f n)) (- (+ f n)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- f n)) -1)) (/ (cbrt 1) (/ (sqrt 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(- 1) (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (+ f n)) 1 1 1 (/ 1 (- f n)) (/ 1 (/ (- f n) (- (+ (pow f 3) (pow n 3))))) (/ 1 (/ (- f n) (- (- (* f f) (* n n))))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ 1 (- f n)) (exp (log1p (/ 1 (/ (- f n) (- (+ f n)))))) (expm1 (/ 1 (/ (- f n) (- (+ f n))))) (log1p (/ 1 (/ (- f n) (- (+ f n))))) (log (/ 1 (/ (- f n) (- (+ f n))))) (/ 1 (exp (/ (+ f n) (- f n)))) (* (cbrt (/ 1 (/ (- f n) (- (+ f n))))) (cbrt (/ 1 (/ (- f n) (- (+ f n)))))) (cbrt (/ 1 (/ (- f n) (- (+ f n))))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ 1 (/ (- f n) (- (+ f n))))) (sqrt (/ 1 (/ (- 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)) (+ f n) (/ f (- (+ f n))) (/ n (- (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (cbrt (- f n)) (cbrt (- (+ f n)))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (- (+ f n)))) (/ (cbrt (- f n)) (sqrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (- (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) -1) (/ (cbrt (- 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))) (- 1)) (/ (cbrt (- 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))) (/ (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)) -1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (- (sqrt (+ f n)))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (- 1)) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (- 1)) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (- (cbrt (+ f n)))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (- (sqrt (+ f n)))) (sqrt (- f n)) (/ (sqrt (- f n)) (- (+ f n))) (sqrt (- f n)) (/ (sqrt (- f n)) (- (+ f n))) (/ 1 (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- f n) (cbrt (- (+ f n)))) (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) 1 (/ (- f n) (- (+ f n))) -1 (/ (- f n) (+ f n)) (/ 1 (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- f n) (cbrt (+ f n))) (/ 1 (- (sqrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ 1 (- 1)) (/ (- f n) (+ f n)) (/ 1 (- 1)) (/ (- f n) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (- (cbrt (+ f n)))) (/ 1 (sqrt (+ f n))) (/ (- f n) (- (sqrt (+ f n)))) 1 (/ (- f n) (- (+ f n))) 1 (/ (- f n) (- (+ f n))) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- (sqrt f) (sqrt n)) (cbrt (- (+ f n)))) (/ (+ (sqrt f) (sqrt n)) (sqrt (- (+ f n)))) (/ (- (sqrt f) (sqrt n)) (sqrt (- (+ f n)))) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (- (+ f n))) (/ (+ (sqrt f) (sqrt n)) -1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (- (sqrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (- 1)) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (- 1)) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (- (cbrt (+ f n)))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (- (sqrt (+ f n)))) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (- (+ f n))) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (- (+ f n))) (/ 1 (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- f n) (cbrt (- (+ f n)))) (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) 1 (/ (- f n) (- (+ f n))) -1 (/ (- f n) (+ f n)) (/ 1 (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- f n) (cbrt (+ f n))) (/ 1 (- (sqrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ 1 (- 1)) (/ (- f n) (+ f n)) (/ 1 (- 1)) (/ (- f n) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (- (cbrt (+ f n)))) (/ 1 (sqrt (+ f n))) (/ (- f n) (- (sqrt (+ f n)))) 1 (/ (- f n) (- (+ f n))) 1 (/ (- f n) (- (+ f n))) (/ 1 (- (+ f n))) (/ (- (+ f n)) (- f n)) (/ (- f n) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- f n) (sqrt (- (+ f n)))) (- f n) (/ (- f n) -1) (/ (- f n) (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- 1)) (/ (- f n) (- 1)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (- f n) (- f n) (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- f n)) (/ (- f n) (- (+ (pow f 3) (pow n 3)))) (/ (- f n) (- (- (* f f) (* n n)))) (- (* (+ f n) (fma f f (fma n n (* f n))))) (* (- (+ f n)) (+ f n)) (log 2) (+ (log n) (- (log -2) (log f))) (- (+ (log -2) (log (/ -1 f))) (log (/ -1 n))) 1 -1 -1 1 (expm1 (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n)))) (expm1 (- (+ (log -2) (log (/ -1 f))) (log (/ -1 n)))) 1 -1 -1 2.087 * * * [progress]: adding candidates to table 2.682 * * [progress]: iteration 4 / 4 2.682 * * * [progress]: picking best candidate 2.687 * * * * [pick]: Picked # 2.687 * * * [progress]: localizing error 2.695 * * * [progress]: generating rewritten candidates 2.695 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 2.712 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 2.722 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.771 * * * [progress]: generating series expansions 2.771 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 2.771 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in (f n) around 0 2.771 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in n 2.771 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.771 * [taylor]: Taking taylor expansion of -1 in n 2.771 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.771 * [taylor]: Taking taylor expansion of (+ n f) in n 2.771 * [taylor]: Taking taylor expansion of n in n 2.771 * [taylor]: Taking taylor expansion of f in n 2.771 * [taylor]: Taking taylor expansion of (- f n) in n 2.771 * [taylor]: Taking taylor expansion of f in n 2.771 * [taylor]: Taking taylor expansion of n in n 2.772 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 2.772 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.772 * [taylor]: Taking taylor expansion of -1 in f 2.772 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.772 * [taylor]: Taking taylor expansion of (+ n f) in f 2.772 * [taylor]: Taking taylor expansion of n in f 2.772 * [taylor]: Taking taylor expansion of f in f 2.772 * [taylor]: Taking taylor expansion of (- f n) in f 2.772 * [taylor]: Taking taylor expansion of f in f 2.772 * [taylor]: Taking taylor expansion of n in f 2.773 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 2.773 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.773 * [taylor]: Taking taylor expansion of -1 in f 2.773 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.773 * [taylor]: Taking taylor expansion of (+ n f) in f 2.773 * [taylor]: Taking taylor expansion of n in f 2.773 * [taylor]: Taking taylor expansion of f in f 2.773 * [taylor]: Taking taylor expansion of (- f n) in f 2.773 * [taylor]: Taking taylor expansion of f in f 2.773 * [taylor]: Taking taylor expansion of n in f 2.774 * [taylor]: Taking taylor expansion of 1 in n 2.775 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 2.775 * [taylor]: Taking taylor expansion of 6 in n 2.775 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.775 * [taylor]: Taking taylor expansion of n in n 2.778 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 2.778 * [taylor]: Taking taylor expansion of 18 in n 2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.778 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.778 * [taylor]: Taking taylor expansion of n in n 2.785 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 2.785 * [taylor]: Taking taylor expansion of 38 in n 2.785 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.785 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.785 * [taylor]: Taking taylor expansion of n in n 2.790 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in (f n) around 0 2.791 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in n 2.791 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.791 * [taylor]: Taking taylor expansion of -1 in n 2.791 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.791 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.791 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.791 * [taylor]: Taking taylor expansion of f in n 2.791 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.791 * [taylor]: Taking taylor expansion of n in n 2.791 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.791 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.791 * [taylor]: Taking taylor expansion of f in n 2.791 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.791 * [taylor]: Taking taylor expansion of n in n 2.793 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 2.793 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.793 * [taylor]: Taking taylor expansion of -1 in f 2.793 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.793 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.793 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.793 * [taylor]: Taking taylor expansion of f in f 2.793 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.793 * [taylor]: Taking taylor expansion of n in f 2.793 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.793 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.793 * [taylor]: Taking taylor expansion of f in f 2.793 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.793 * [taylor]: Taking taylor expansion of n in f 2.794 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 2.795 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.795 * [taylor]: Taking taylor expansion of -1 in f 2.795 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.795 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.795 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.795 * [taylor]: Taking taylor expansion of f in f 2.795 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.795 * [taylor]: Taking taylor expansion of n in f 2.795 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.795 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.795 * [taylor]: Taking taylor expansion of f in f 2.795 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.795 * [taylor]: Taking taylor expansion of n in f 2.797 * [taylor]: Taking taylor expansion of -1 in n 2.798 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 2.799 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 2.799 * [taylor]: Taking taylor expansion of 6 in n 2.799 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.799 * [taylor]: Taking taylor expansion of n in n 2.804 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 2.804 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 2.804 * [taylor]: Taking taylor expansion of 18 in n 2.804 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.804 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.804 * [taylor]: Taking taylor expansion of n in n 2.812 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 2.812 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 2.812 * [taylor]: Taking taylor expansion of 38 in n 2.812 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.812 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.812 * [taylor]: Taking taylor expansion of n in n 2.825 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in (f n) around 0 2.825 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in n 2.826 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.826 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.826 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.826 * [taylor]: Taking taylor expansion of f in n 2.826 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.826 * [taylor]: Taking taylor expansion of n in n 2.826 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.826 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.826 * [taylor]: Taking taylor expansion of n in n 2.826 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.826 * [taylor]: Taking taylor expansion of f in n 2.827 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 2.827 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.827 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.827 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.827 * [taylor]: Taking taylor expansion of f in f 2.828 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.828 * [taylor]: Taking taylor expansion of n in f 2.828 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.828 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.828 * [taylor]: Taking taylor expansion of n in f 2.828 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.828 * [taylor]: Taking taylor expansion of f in f 2.829 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 2.829 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.829 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.829 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.829 * [taylor]: Taking taylor expansion of f in f 2.829 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.830 * [taylor]: Taking taylor expansion of n in f 2.830 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.830 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.830 * [taylor]: Taking taylor expansion of n in f 2.830 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.830 * [taylor]: Taking taylor expansion of f in f 2.831 * [taylor]: Taking taylor expansion of -1 in n 2.833 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 2.833 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 2.833 * [taylor]: Taking taylor expansion of 6 in n 2.833 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.833 * [taylor]: Taking taylor expansion of n in n 2.837 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 2.838 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 2.838 * [taylor]: Taking taylor expansion of 18 in n 2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.838 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.838 * [taylor]: Taking taylor expansion of n in n 2.846 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 2.846 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 2.846 * [taylor]: Taking taylor expansion of 38 in n 2.846 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.846 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.846 * [taylor]: Taking taylor expansion of n in n 2.852 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 2.852 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.852 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.852 * [taylor]: Taking taylor expansion of -1 in n 2.852 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.852 * [taylor]: Taking taylor expansion of (+ n f) in n 2.852 * [taylor]: Taking taylor expansion of n in n 2.852 * [taylor]: Taking taylor expansion of f in n 2.852 * [taylor]: Taking taylor expansion of (- f n) in n 2.852 * [taylor]: Taking taylor expansion of f in n 2.852 * [taylor]: Taking taylor expansion of n in n 2.852 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.852 * [taylor]: Taking taylor expansion of -1 in f 2.852 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.852 * [taylor]: Taking taylor expansion of (+ n f) in f 2.852 * [taylor]: Taking taylor expansion of n in f 2.852 * [taylor]: Taking taylor expansion of f in f 2.852 * [taylor]: Taking taylor expansion of (- f n) in f 2.852 * [taylor]: Taking taylor expansion of f in f 2.852 * [taylor]: Taking taylor expansion of n in f 2.852 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.853 * [taylor]: Taking taylor expansion of -1 in f 2.853 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.853 * [taylor]: Taking taylor expansion of (+ n f) in f 2.853 * [taylor]: Taking taylor expansion of n in f 2.853 * [taylor]: Taking taylor expansion of f in f 2.853 * [taylor]: Taking taylor expansion of (- f n) in f 2.853 * [taylor]: Taking taylor expansion of f in f 2.853 * [taylor]: Taking taylor expansion of n in f 2.853 * [taylor]: Taking taylor expansion of 1 in n 2.854 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.854 * [taylor]: Taking taylor expansion of 2 in n 2.854 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.854 * [taylor]: Taking taylor expansion of n in n 2.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.857 * [taylor]: Taking taylor expansion of 2 in n 2.857 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.857 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.857 * [taylor]: Taking taylor expansion of n in n 2.862 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.862 * [taylor]: Taking taylor expansion of 2 in n 2.862 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.862 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.862 * [taylor]: Taking taylor expansion of n in n 2.868 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.868 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.868 * [taylor]: Taking taylor expansion of -1 in n 2.868 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.868 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.868 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.868 * [taylor]: Taking taylor expansion of f in n 2.868 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.868 * [taylor]: Taking taylor expansion of n in n 2.868 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.868 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.868 * [taylor]: Taking taylor expansion of f in n 2.868 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.868 * [taylor]: Taking taylor expansion of n in n 2.869 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.869 * [taylor]: Taking taylor expansion of -1 in f 2.869 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.869 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.869 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.869 * [taylor]: Taking taylor expansion of f in f 2.870 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.870 * [taylor]: Taking taylor expansion of n in f 2.870 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.870 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.870 * [taylor]: Taking taylor expansion of f in f 2.870 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.870 * [taylor]: Taking taylor expansion of n in f 2.871 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.871 * [taylor]: Taking taylor expansion of -1 in f 2.871 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.871 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.871 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.871 * [taylor]: Taking taylor expansion of f in f 2.871 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.871 * [taylor]: Taking taylor expansion of n in f 2.871 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.871 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.871 * [taylor]: Taking taylor expansion of f in f 2.872 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.872 * [taylor]: Taking taylor expansion of n in f 2.873 * [taylor]: Taking taylor expansion of -1 in n 2.874 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.874 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.874 * [taylor]: Taking taylor expansion of 2 in n 2.874 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.874 * [taylor]: Taking taylor expansion of n in n 2.878 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.878 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.879 * [taylor]: Taking taylor expansion of 2 in n 2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.879 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.879 * [taylor]: Taking taylor expansion of n in n 2.886 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.886 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.886 * [taylor]: Taking taylor expansion of 2 in n 2.886 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.886 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.886 * [taylor]: Taking taylor expansion of n in n 2.892 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.892 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.892 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.892 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.892 * [taylor]: Taking taylor expansion of f in n 2.892 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.892 * [taylor]: Taking taylor expansion of n in n 2.892 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.892 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.892 * [taylor]: Taking taylor expansion of n in n 2.893 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.893 * [taylor]: Taking taylor expansion of f in n 2.893 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.893 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.893 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.893 * [taylor]: Taking taylor expansion of f in f 2.894 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.894 * [taylor]: Taking taylor expansion of n in f 2.894 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.894 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.894 * [taylor]: Taking taylor expansion of n in f 2.894 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.894 * [taylor]: Taking taylor expansion of f in f 2.895 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.895 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.895 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.895 * [taylor]: Taking taylor expansion of f in f 2.895 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.895 * [taylor]: Taking taylor expansion of n in f 2.895 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.895 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.895 * [taylor]: Taking taylor expansion of n in f 2.895 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.895 * [taylor]: Taking taylor expansion of f in f 2.897 * [taylor]: Taking taylor expansion of -1 in n 2.898 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.898 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.898 * [taylor]: Taking taylor expansion of 2 in n 2.898 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.898 * [taylor]: Taking taylor expansion of n in n 2.902 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.902 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.902 * [taylor]: Taking taylor expansion of 2 in n 2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.902 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.902 * [taylor]: Taking taylor expansion of n in n 2.914 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.914 * [taylor]: Taking taylor expansion of 2 in n 2.914 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.914 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.914 * [taylor]: Taking taylor expansion of n in n 2.920 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.920 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 2.920 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 2.920 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 2.920 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.920 * [taylor]: Taking taylor expansion of -1 in n 2.921 * [taylor]: Taking taylor expansion of (+ n f) in n 2.921 * [taylor]: Taking taylor expansion of n in n 2.921 * [taylor]: Taking taylor expansion of f in n 2.921 * [taylor]: Taking taylor expansion of (- f n) in n 2.921 * [taylor]: Taking taylor expansion of f in n 2.921 * [taylor]: Taking taylor expansion of n in n 2.922 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 2.922 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 2.922 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.922 * [taylor]: Taking taylor expansion of -1 in f 2.923 * [taylor]: Taking taylor expansion of (+ n f) in f 2.923 * [taylor]: Taking taylor expansion of n in f 2.923 * [taylor]: Taking taylor expansion of f in f 2.923 * [taylor]: Taking taylor expansion of (- f n) in f 2.923 * [taylor]: Taking taylor expansion of f in f 2.923 * [taylor]: Taking taylor expansion of n in f 2.924 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 2.924 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 2.924 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.924 * [taylor]: Taking taylor expansion of -1 in f 2.925 * [taylor]: Taking taylor expansion of (+ n f) in f 2.925 * [taylor]: Taking taylor expansion of n in f 2.925 * [taylor]: Taking taylor expansion of f in f 2.925 * [taylor]: Taking taylor expansion of (- f n) in f 2.925 * [taylor]: Taking taylor expansion of f in f 2.925 * [taylor]: Taking taylor expansion of n in f 2.926 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 2.926 * [taylor]: Taking taylor expansion of -1 in n 2.926 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.926 * [taylor]: Taking taylor expansion of -1 in n 2.930 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 2.930 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 2.930 * [taylor]: Taking taylor expansion of 2 in n 2.930 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.930 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.930 * [taylor]: Taking taylor expansion of -1 in n 2.931 * [taylor]: Taking taylor expansion of n in n 2.936 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 2.936 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 2.936 * [taylor]: Taking taylor expansion of 2 in n 2.936 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 2.936 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.936 * [taylor]: Taking taylor expansion of -1 in n 2.937 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.937 * [taylor]: Taking taylor expansion of n in n 2.949 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 2.949 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 2.949 * [taylor]: Taking taylor expansion of 2 in n 2.949 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 2.949 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.949 * [taylor]: Taking taylor expansion of -1 in n 2.950 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.950 * [taylor]: Taking taylor expansion of n in n 2.958 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 2.958 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n 2.958 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in n 2.958 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.958 * [taylor]: Taking taylor expansion of -1 in n 2.959 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.959 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.959 * [taylor]: Taking taylor expansion of f in n 2.959 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.959 * [taylor]: Taking taylor expansion of n in n 2.960 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.960 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.960 * [taylor]: Taking taylor expansion of f in n 2.960 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.960 * [taylor]: Taking taylor expansion of n in n 2.962 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 2.962 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 2.962 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.962 * [taylor]: Taking taylor expansion of -1 in f 2.963 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.963 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.963 * [taylor]: Taking taylor expansion of f in f 2.963 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.963 * [taylor]: Taking taylor expansion of n in f 2.963 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.963 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.963 * [taylor]: Taking taylor expansion of f in f 2.963 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.963 * [taylor]: Taking taylor expansion of n in f 2.965 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 2.965 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 2.965 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.965 * [taylor]: Taking taylor expansion of -1 in f 2.966 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.966 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.966 * [taylor]: Taking taylor expansion of f in f 2.966 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.966 * [taylor]: Taking taylor expansion of n in f 2.966 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.966 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.966 * [taylor]: Taking taylor expansion of f in f 2.967 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.967 * [taylor]: Taking taylor expansion of n in f 2.968 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.968 * [taylor]: Taking taylor expansion of -1 in n 2.972 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 2.972 * [taylor]: Taking taylor expansion of 2 in n 2.972 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.972 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.972 * [taylor]: Taking taylor expansion of -1 in n 2.973 * [taylor]: Taking taylor expansion of n in n 2.979 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 2.979 * [taylor]: Taking taylor expansion of 2 in n 2.979 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 2.979 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.979 * [taylor]: Taking taylor expansion of -1 in n 2.979 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.980 * [taylor]: Taking taylor expansion of n in n 2.997 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 2.997 * [taylor]: Taking taylor expansion of 2 in n 2.997 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 2.997 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.997 * [taylor]: Taking taylor expansion of -1 in n 2.998 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.998 * [taylor]: Taking taylor expansion of n in n 3.006 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.006 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.007 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.007 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.007 * [taylor]: Taking taylor expansion of f in n 3.007 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.007 * [taylor]: Taking taylor expansion of n in n 3.007 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.007 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.007 * [taylor]: Taking taylor expansion of n in n 3.007 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.007 * [taylor]: Taking taylor expansion of f in n 3.008 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.008 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.008 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.008 * [taylor]: Taking taylor expansion of f in f 3.008 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.009 * [taylor]: Taking taylor expansion of n in f 3.009 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.009 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.009 * [taylor]: Taking taylor expansion of n in f 3.009 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.009 * [taylor]: Taking taylor expansion of f in f 3.010 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.010 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.010 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.010 * [taylor]: Taking taylor expansion of f in f 3.010 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.010 * [taylor]: Taking taylor expansion of n in f 3.010 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.010 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.010 * [taylor]: Taking taylor expansion of n in f 3.010 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.010 * [taylor]: Taking taylor expansion of f in f 3.012 * [taylor]: Taking taylor expansion of -1 in n 3.013 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.013 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.013 * [taylor]: Taking taylor expansion of 2 in n 3.013 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.013 * [taylor]: Taking taylor expansion of n in n 3.017 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.017 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.017 * [taylor]: Taking taylor expansion of 2 in n 3.017 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.017 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.017 * [taylor]: Taking taylor expansion of n in n 3.024 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.024 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.024 * [taylor]: Taking taylor expansion of 2 in n 3.024 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.024 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.024 * [taylor]: Taking taylor expansion of n in n 3.030 * * * [progress]: simplifying candidates 3.037 * [simplify]: Simplifying using # : (expm1 (pow (/ (- (+ f n)) (- f n)) 3)) (log1p (pow (/ (- (+ f n)) (- f n)) 3)) (* (- (log (- (+ f n))) (log (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) (* 1 3) (pow (/ (- (+ f n)) (- f n)) (* (cbrt 3) (cbrt 3))) (pow (/ (- (+ f n)) (- f n)) (sqrt 3)) (pow (/ (- (+ f n)) (- f n)) 1) (pow (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) 3) (pow (cbrt (/ (- (+ f n)) (- f n))) 3) (pow (sqrt (/ (- (+ f n)) (- f n))) 3) (pow (sqrt (/ (- (+ f n)) (- f n))) 3) (pow (/ (* 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-1 (cbrt -1)) (cbrt -1) -1 3.054 * * [simplify]: iteration 0 : 964 enodes (cost 3812 ) 3.072 * * [simplify]: iteration 1 : 4694 enodes (cost 3496 ) 3.139 * * [simplify]: iteration 2 : 5001 enodes (cost 3496 ) 3.155 * [simplify]: Simplified to: (expm1 (pow (/ (- (+ f n)) (- f n)) 3)) (log1p (pow (/ (- (+ f n)) (- f n)) 3)) (log (pow (/ (- (+ f n)) (- f n)) 3)) (log (pow (/ (- (+ f n)) (- f n)) 3)) (log (pow (/ (- (+ f n)) (- f n)) 3)) 3 (pow (/ (- (+ f n)) (- f n)) (* (cbrt 3) (cbrt 3))) (pow (/ (- (+ f n)) (- f n)) (sqrt 3)) (/ (- (+ f n)) (- f n)) (pow (/ (- (+ f n)) (- f n)) 2) (/ (- (+ f n)) (- f n)) (pow (sqrt (/ (- (+ f n)) (- f n))) 3) (pow (sqrt (/ (- (+ f n)) (- f n))) 3) (pow (/ (- (+ f n)) (- f n)) 2) (/ (- (+ f n)) (- f n)) (/ (* (+ f n) (+ f n)) (* (pow (sqrt (- f n)) 3) 1)) (pow (/ (- (cbrt (+ f n))) (sqrt (- f n))) 3) (* (+ f n) (+ f n)) (pow (/ (- (cbrt (+ f n))) (- f n)) 3) (/ (* (+ f n) (+ f n)) (* (pow (+ (sqrt f) (sqrt n)) 3) 1)) (pow (/ (- (cbrt (+ f n))) (- (sqrt 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(+ 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)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- 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)) (/ 1 (- f n)) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (fma f f (fma n n (* f n))) (/ (- (+ f n)) (- (* f f) (* n n))) (+ f n) (cbrt (/ (- (+ f n)) (- f n))) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) 1 (/ (- (+ f n)) (- f n)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3/2)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3/2)) (- (+ f n)) (- f n) (cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ 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))) 1 -1 -1 1 -1 -1 1 -1 -1 3.158 * * * [progress]: adding candidates to table 3.625 * [progress]: [Phase 3 of 3] Extracting. 3.625 * * [regime]: Finding splitpoints for: (# # # #) 3.627 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 3.627 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # #) 3.644 * * * * [regimes]: Trying to branch on n from (# # # #) 3.665 * * * * [regimes]: Trying to branch on f from (# # # #) 3.682 * * * [regime]: Found split indices: #