0.867 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.275 * * * [progress]: [2/2] Setting up program. 0.277 * [progress]: [Phase 2 of 3] Improving. 0.280 * [simplify]: Simplifying using # : (/ (- (+ f n)) (- f n)) 0.283 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.285 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.286 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.288 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.289 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.290 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.292 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.292 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.294 * * [progress]: iteration 1 / 4 0.294 * * * [progress]: picking best candidate 0.295 * * * * [pick]: Picked # 0.296 * * * [progress]: localizing error 0.303 * * * [progress]: generating rewritten candidates 0.303 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.327 * * * [progress]: generating series expansions 0.328 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.332 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.333 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.333 * [taylor]: Taking taylor expansion of -1 in n 0.333 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.333 * [taylor]: Taking taylor expansion of (+ n f) in n 0.333 * [taylor]: Taking taylor expansion of n in n 0.333 * [taylor]: Taking taylor expansion of f in n 0.333 * [taylor]: Taking taylor expansion of (- f n) in n 0.333 * [taylor]: Taking taylor expansion of f in n 0.334 * [taylor]: Taking taylor expansion of n in n 0.334 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.334 * [taylor]: Taking taylor expansion of -1 in f 0.334 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.334 * [taylor]: Taking taylor expansion of (+ n f) in f 0.334 * [taylor]: Taking taylor expansion of n in f 0.334 * [taylor]: Taking taylor expansion of f in f 0.334 * [taylor]: Taking taylor expansion of (- f n) in f 0.334 * [taylor]: Taking taylor expansion of f in f 0.334 * [taylor]: Taking taylor expansion of n in f 0.335 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.335 * [taylor]: Taking taylor expansion of -1 in f 0.335 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.335 * [taylor]: Taking taylor expansion of (+ n f) in f 0.335 * [taylor]: Taking taylor expansion of n in f 0.335 * [taylor]: Taking taylor expansion of f in f 0.335 * [taylor]: Taking taylor expansion of (- f n) in f 0.335 * [taylor]: Taking taylor expansion of f in f 0.335 * [taylor]: Taking taylor expansion of n in f 0.336 * [taylor]: Taking taylor expansion of 1 in n 0.337 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.337 * [taylor]: Taking taylor expansion of 2 in n 0.337 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.337 * [taylor]: Taking taylor expansion of n in n 0.340 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.340 * [taylor]: Taking taylor expansion of 2 in n 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.340 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.340 * [taylor]: Taking taylor expansion of n in n 0.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.346 * [taylor]: Taking taylor expansion of 2 in n 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.346 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.346 * [taylor]: Taking taylor expansion of n in n 0.352 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.352 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.353 * [taylor]: Taking taylor expansion of -1 in n 0.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.353 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.353 * [taylor]: Taking taylor expansion of f in n 0.353 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.353 * [taylor]: Taking taylor expansion of n in n 0.366 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.366 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.366 * [taylor]: Taking taylor expansion of f in n 0.366 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.366 * [taylor]: Taking taylor expansion of n in n 0.368 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.368 * [taylor]: Taking taylor expansion of -1 in f 0.368 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.368 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.368 * [taylor]: Taking taylor expansion of f in f 0.368 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.368 * [taylor]: Taking taylor expansion of n in f 0.368 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.368 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.368 * [taylor]: Taking taylor expansion of f in f 0.368 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.368 * [taylor]: Taking taylor expansion of n in f 0.369 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.369 * [taylor]: Taking taylor expansion of -1 in f 0.369 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.369 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.369 * [taylor]: Taking taylor expansion of f in f 0.370 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.370 * [taylor]: Taking taylor expansion of n in f 0.370 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.370 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.370 * [taylor]: Taking taylor expansion of f in f 0.370 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.370 * [taylor]: Taking taylor expansion of n in f 0.371 * [taylor]: Taking taylor expansion of -1 in n 0.373 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.373 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.373 * [taylor]: Taking taylor expansion of 2 in n 0.373 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.373 * [taylor]: Taking taylor expansion of n in n 0.377 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.377 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.377 * [taylor]: Taking taylor expansion of 2 in n 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.377 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.377 * [taylor]: Taking taylor expansion of n in n 0.384 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.384 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.385 * [taylor]: Taking taylor expansion of 2 in n 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.385 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.385 * [taylor]: Taking taylor expansion of n in n 0.390 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.390 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.390 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.390 * [taylor]: Taking taylor expansion of f in n 0.390 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.390 * [taylor]: Taking taylor expansion of n in n 0.391 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.391 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.391 * [taylor]: Taking taylor expansion of n in n 0.391 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.391 * [taylor]: Taking taylor expansion of f in n 0.392 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.392 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.392 * [taylor]: Taking taylor expansion of f in f 0.392 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.392 * [taylor]: Taking taylor expansion of n in f 0.392 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.392 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.392 * [taylor]: Taking taylor expansion of n in f 0.392 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.392 * [taylor]: Taking taylor expansion of f in f 0.393 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.393 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.393 * [taylor]: Taking taylor expansion of f in f 0.394 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.394 * [taylor]: Taking taylor expansion of n in f 0.394 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.394 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.394 * [taylor]: Taking taylor expansion of n in f 0.394 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.394 * [taylor]: Taking taylor expansion of f in f 0.395 * [taylor]: Taking taylor expansion of -1 in n 0.396 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.396 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.396 * [taylor]: Taking taylor expansion of 2 in n 0.396 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.396 * [taylor]: Taking taylor expansion of n in n 0.400 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.400 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.400 * [taylor]: Taking taylor expansion of 2 in n 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.400 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.400 * [taylor]: Taking taylor expansion of n in n 0.408 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.408 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.408 * [taylor]: Taking taylor expansion of 2 in n 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.408 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.408 * [taylor]: Taking taylor expansion of n in n 0.414 * * * [progress]: simplifying candidates 0.415 * [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 0.421 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.425 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.439 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 0.477 * * [simplify]: iteration 3 : 5001 enodes (cost 743 ) 0.481 * [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 0.482 * * * [progress]: adding candidates to table 0.636 * * [progress]: iteration 2 / 4 0.636 * * * [progress]: picking best candidate 0.641 * * * * [pick]: Picked # 0.641 * * * [progress]: localizing error 0.651 * * * [progress]: generating rewritten candidates 0.651 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.652 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.652 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.676 * * * [progress]: generating series expansions 0.676 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.676 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 0.676 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 0.677 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.677 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 0.677 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.677 * [taylor]: Taking taylor expansion of -1 in n 0.677 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.677 * [taylor]: Taking taylor expansion of (+ n f) in n 0.677 * [taylor]: Taking taylor expansion of n in n 0.677 * [taylor]: Taking taylor expansion of f in n 0.677 * [taylor]: Taking taylor expansion of (- f n) in n 0.677 * [taylor]: Taking taylor expansion of f in n 0.677 * [taylor]: Taking taylor expansion of n in n 0.679 * [taylor]: Taking taylor expansion of 1 in n 0.679 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.679 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.679 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.679 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.679 * [taylor]: Taking taylor expansion of -1 in f 0.679 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.679 * [taylor]: Taking taylor expansion of (+ n f) in f 0.679 * [taylor]: Taking taylor expansion of n in f 0.679 * [taylor]: Taking taylor expansion of f in f 0.679 * [taylor]: Taking taylor expansion of (- f n) in f 0.679 * [taylor]: Taking taylor expansion of f in f 0.679 * [taylor]: Taking taylor expansion of n in f 0.679 * [taylor]: Taking taylor expansion of 1 in f 0.679 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.680 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.680 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.680 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.680 * [taylor]: Taking taylor expansion of -1 in f 0.680 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.680 * [taylor]: Taking taylor expansion of (+ n f) in f 0.680 * [taylor]: Taking taylor expansion of n in f 0.680 * [taylor]: Taking taylor expansion of f in f 0.680 * [taylor]: Taking taylor expansion of (- f n) in f 0.680 * [taylor]: Taking taylor expansion of f in f 0.680 * [taylor]: Taking taylor expansion of n in f 0.680 * [taylor]: Taking taylor expansion of 1 in f 0.681 * [taylor]: Taking taylor expansion of (- E 1) in n 0.681 * [taylor]: Taking taylor expansion of E in n 0.681 * [taylor]: Taking taylor expansion of 1 in n 0.684 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 0.684 * [taylor]: Taking taylor expansion of 2 in n 0.684 * [taylor]: Taking taylor expansion of (/ E n) in n 0.684 * [taylor]: Taking taylor expansion of E in n 0.684 * [taylor]: Taking taylor expansion of n in n 0.687 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 0.687 * [taylor]: Taking taylor expansion of 4 in n 0.688 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 0.688 * [taylor]: Taking taylor expansion of E in n 0.688 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.688 * [taylor]: Taking taylor expansion of n in n 0.695 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 0.695 * [taylor]: Taking taylor expansion of 22/3 in n 0.695 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 0.695 * [taylor]: Taking taylor expansion of E in n 0.695 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.695 * [taylor]: Taking taylor expansion of n in n 0.701 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 0.701 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.701 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.701 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.701 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.701 * [taylor]: Taking taylor expansion of -1 in n 0.701 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.701 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.702 * [taylor]: Taking taylor expansion of f in n 0.702 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.702 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.702 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.702 * [taylor]: Taking taylor expansion of f in n 0.702 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.703 * [taylor]: Taking taylor expansion of 1 in n 0.703 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.704 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.704 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.704 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.704 * [taylor]: Taking taylor expansion of -1 in f 0.704 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.704 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.704 * [taylor]: Taking taylor expansion of f in f 0.704 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.704 * [taylor]: Taking taylor expansion of n in f 0.704 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.704 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.704 * [taylor]: Taking taylor expansion of f in f 0.704 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.704 * [taylor]: Taking taylor expansion of n in f 0.706 * [taylor]: Taking taylor expansion of 1 in f 0.706 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.706 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.706 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.706 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.706 * [taylor]: Taking taylor expansion of -1 in f 0.706 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.706 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.706 * [taylor]: Taking taylor expansion of f in f 0.706 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.706 * [taylor]: Taking taylor expansion of n in f 0.706 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.706 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.706 * [taylor]: Taking taylor expansion of f in f 0.707 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.707 * [taylor]: Taking taylor expansion of n in f 0.708 * [taylor]: Taking taylor expansion of 1 in f 0.709 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 0.709 * [taylor]: Taking taylor expansion of (exp -1) in n 0.709 * [taylor]: Taking taylor expansion of -1 in n 0.709 * [taylor]: Taking taylor expansion of 1 in n 0.713 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 0.713 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 0.713 * [taylor]: Taking taylor expansion of 2 in n 0.713 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 0.713 * [taylor]: Taking taylor expansion of (exp -1) in n 0.713 * [taylor]: Taking taylor expansion of -1 in n 0.713 * [taylor]: Taking taylor expansion of n in n 0.721 * [taylor]: Taking taylor expansion of 0 in n 0.729 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 0.729 * [taylor]: Taking taylor expansion of 2/3 in n 0.729 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 0.729 * [taylor]: Taking taylor expansion of (exp -1) in n 0.729 * [taylor]: Taking taylor expansion of -1 in n 0.730 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.730 * [taylor]: Taking taylor expansion of n in n 0.739 * [approximate]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 0.739 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.739 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.739 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.739 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.739 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.739 * [taylor]: Taking taylor expansion of f in n 0.739 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.739 * [taylor]: Taking taylor expansion of n in n 0.739 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.740 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.740 * [taylor]: Taking taylor expansion of n in n 0.740 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.740 * [taylor]: Taking taylor expansion of f in n 0.741 * [taylor]: Taking taylor expansion of 1 in n 0.741 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.741 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.741 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.741 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.741 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.741 * [taylor]: Taking taylor expansion of f in f 0.741 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.741 * [taylor]: Taking taylor expansion of n in f 0.741 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.741 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.741 * [taylor]: Taking taylor expansion of n in f 0.741 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.741 * [taylor]: Taking taylor expansion of f in f 0.743 * [taylor]: Taking taylor expansion of 1 in f 0.743 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.743 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.743 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.743 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.743 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.743 * [taylor]: Taking taylor expansion of f in f 0.743 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.743 * [taylor]: Taking taylor expansion of n in f 0.743 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.743 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.743 * [taylor]: Taking taylor expansion of n in f 0.743 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.743 * [taylor]: Taking taylor expansion of f in f 0.745 * [taylor]: Taking taylor expansion of 1 in f 0.746 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 0.746 * [taylor]: Taking taylor expansion of (exp -1) in n 0.746 * [taylor]: Taking taylor expansion of -1 in n 0.746 * [taylor]: Taking taylor expansion of 1 in n 0.749 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 0.749 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 0.749 * [taylor]: Taking taylor expansion of 2 in n 0.749 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 0.749 * [taylor]: Taking taylor expansion of (exp -1) in n 0.749 * [taylor]: Taking taylor expansion of -1 in n 0.750 * [taylor]: Taking taylor expansion of n in n 0.763 * [taylor]: Taking taylor expansion of 0 in n 0.771 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 0.771 * [taylor]: Taking taylor expansion of 2/3 in n 0.771 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 0.771 * [taylor]: Taking taylor expansion of (exp -1) in n 0.771 * [taylor]: Taking taylor expansion of -1 in n 0.771 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.771 * [taylor]: Taking taylor expansion of n in n 0.780 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.780 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 0.780 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in n 0.781 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 0.781 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in n 0.781 * [taylor]: Taking taylor expansion of 1 in n 0.781 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 0.781 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.781 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 0.781 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.781 * [taylor]: Taking taylor expansion of -1 in n 0.781 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.781 * [taylor]: Taking taylor expansion of (+ n f) in n 0.781 * [taylor]: Taking taylor expansion of n in n 0.781 * [taylor]: Taking taylor expansion of f in n 0.781 * [taylor]: Taking taylor expansion of (- f n) in n 0.781 * [taylor]: Taking taylor expansion of f in n 0.781 * [taylor]: Taking taylor expansion of n in n 0.782 * [taylor]: Taking taylor expansion of 1 in n 0.784 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.784 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 0.784 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.784 * [taylor]: Taking taylor expansion of 1 in f 0.784 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.784 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.784 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.784 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.784 * [taylor]: Taking taylor expansion of -1 in f 0.784 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.784 * [taylor]: Taking taylor expansion of (+ n f) in f 0.784 * [taylor]: Taking taylor expansion of n in f 0.784 * [taylor]: Taking taylor expansion of f in f 0.784 * [taylor]: Taking taylor expansion of (- f n) in f 0.784 * [taylor]: Taking taylor expansion of f in f 0.784 * [taylor]: Taking taylor expansion of n in f 0.785 * [taylor]: Taking taylor expansion of 1 in f 0.786 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.786 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 0.786 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.786 * [taylor]: Taking taylor expansion of 1 in f 0.786 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.786 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.786 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.786 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.786 * [taylor]: Taking taylor expansion of -1 in f 0.786 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.786 * [taylor]: Taking taylor expansion of (+ n f) in f 0.786 * [taylor]: Taking taylor expansion of n in f 0.786 * [taylor]: Taking taylor expansion of f in f 0.786 * [taylor]: Taking taylor expansion of (- f n) in f 0.786 * [taylor]: Taking taylor expansion of f in f 0.786 * [taylor]: Taking taylor expansion of n in f 0.787 * [taylor]: Taking taylor expansion of 1 in f 0.788 * [taylor]: Taking taylor expansion of 1 in n 0.790 * [taylor]: Taking taylor expansion of (/ 2 n) in n 0.790 * [taylor]: Taking taylor expansion of 2 in n 0.790 * [taylor]: Taking taylor expansion of n in n 0.795 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 0.795 * [taylor]: Taking taylor expansion of 2 in n 0.795 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.795 * [taylor]: Taking taylor expansion of n in n 0.802 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 0.802 * [taylor]: Taking taylor expansion of 2 in n 0.802 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.802 * [taylor]: Taking taylor expansion of n in n 0.807 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 0.807 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 0.807 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 0.807 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 0.807 * [taylor]: Taking taylor expansion of 1 in n 0.807 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.807 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.808 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.808 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.808 * [taylor]: Taking taylor expansion of -1 in n 0.808 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.808 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.808 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.808 * [taylor]: Taking taylor expansion of f in n 0.808 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.808 * [taylor]: Taking taylor expansion of n in n 0.808 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.808 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.808 * [taylor]: Taking taylor expansion of f in n 0.808 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.808 * [taylor]: Taking taylor expansion of n in n 0.809 * [taylor]: Taking taylor expansion of 1 in n 0.811 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.811 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 0.811 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.811 * [taylor]: Taking taylor expansion of 1 in f 0.811 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.811 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.811 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.811 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.811 * [taylor]: Taking taylor expansion of -1 in f 0.811 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.811 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.811 * [taylor]: Taking taylor expansion of f in f 0.811 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.811 * [taylor]: Taking taylor expansion of n in f 0.811 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.811 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.811 * [taylor]: Taking taylor expansion of f in f 0.812 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.812 * [taylor]: Taking taylor expansion of n in f 0.813 * [taylor]: Taking taylor expansion of 1 in f 0.815 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.815 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 0.815 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.815 * [taylor]: Taking taylor expansion of 1 in f 0.815 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.816 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.816 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.816 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.816 * [taylor]: Taking taylor expansion of -1 in f 0.816 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.816 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.816 * [taylor]: Taking taylor expansion of f in f 0.816 * [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) (/ 1 n)) in f 0.816 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.816 * [taylor]: Taking taylor expansion of f in f 0.816 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.816 * [taylor]: Taking taylor expansion of n in f 0.818 * [taylor]: Taking taylor expansion of 1 in f 0.820 * [taylor]: Taking taylor expansion of -1 in n 0.824 * [taylor]: Taking taylor expansion of (/ -2 n) in n 0.824 * [taylor]: Taking taylor expansion of -2 in n 0.824 * [taylor]: Taking taylor expansion of n in n 0.831 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 0.831 * [taylor]: Taking taylor expansion of -2 in n 0.831 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.831 * [taylor]: Taking taylor expansion of n in n 0.848 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 0.848 * [taylor]: Taking taylor expansion of -2 in n 0.848 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.848 * [taylor]: Taking taylor expansion of n in n 0.854 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 0.854 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 0.854 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 0.854 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 0.854 * [taylor]: Taking taylor expansion of 1 in n 0.854 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.854 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.854 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.854 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.854 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.854 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.854 * [taylor]: Taking taylor expansion of f in n 0.854 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.854 * [taylor]: Taking taylor expansion of n in n 0.854 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.854 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.854 * [taylor]: Taking taylor expansion of n in n 0.855 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.855 * [taylor]: Taking taylor expansion of f in n 0.855 * [taylor]: Taking taylor expansion of 1 in n 0.857 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 0.857 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 0.857 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 0.857 * [taylor]: Taking taylor expansion of 1 in f 0.857 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.857 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.857 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.857 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.857 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.857 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.857 * [taylor]: Taking taylor expansion of f in f 0.857 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.857 * [taylor]: Taking taylor expansion of n in f 0.857 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.857 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.857 * [taylor]: Taking taylor expansion of n in f 0.857 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.857 * [taylor]: Taking taylor expansion of f in f 0.859 * [taylor]: Taking taylor expansion of 1 in f 0.861 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 0.861 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 0.861 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 0.861 * [taylor]: Taking taylor expansion of 1 in f 0.861 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.861 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.861 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.861 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.861 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.861 * [taylor]: Taking taylor expansion of f in f 0.862 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.862 * [taylor]: Taking taylor expansion of n in f 0.862 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.862 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.862 * [taylor]: Taking taylor expansion of n in f 0.862 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.862 * [taylor]: Taking taylor expansion of f in f 0.863 * [taylor]: Taking taylor expansion of 1 in f 0.866 * [taylor]: Taking taylor expansion of -1 in n 0.869 * [taylor]: Taking taylor expansion of (/ -2 n) in n 0.869 * [taylor]: Taking taylor expansion of -2 in n 0.870 * [taylor]: Taking taylor expansion of n in n 0.876 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 0.876 * [taylor]: Taking taylor expansion of -2 in n 0.876 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.876 * [taylor]: Taking taylor expansion of n in n 0.888 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 0.888 * [taylor]: Taking taylor expansion of -2 in n 0.888 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.888 * [taylor]: Taking taylor expansion of n in n 0.893 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.893 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.893 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.893 * [taylor]: Taking taylor expansion of -1 in n 0.893 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.893 * [taylor]: Taking taylor expansion of (+ n f) in n 0.893 * [taylor]: Taking taylor expansion of n in n 0.893 * [taylor]: Taking taylor expansion of f in n 0.893 * [taylor]: Taking taylor expansion of (- f n) in n 0.893 * [taylor]: Taking taylor expansion of f in n 0.893 * [taylor]: Taking taylor expansion of n in n 0.894 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.894 * [taylor]: Taking taylor expansion of -1 in f 0.894 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.894 * [taylor]: Taking taylor expansion of (+ n f) in f 0.894 * [taylor]: Taking taylor expansion of n in f 0.894 * [taylor]: Taking taylor expansion of f in f 0.894 * [taylor]: Taking taylor expansion of (- f n) in f 0.894 * [taylor]: Taking taylor expansion of f in f 0.894 * [taylor]: Taking taylor expansion of n in f 0.894 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.894 * [taylor]: Taking taylor expansion of -1 in f 0.894 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.894 * [taylor]: Taking taylor expansion of (+ n f) in f 0.894 * [taylor]: Taking taylor expansion of n in f 0.894 * [taylor]: Taking taylor expansion of f in f 0.894 * [taylor]: Taking taylor expansion of (- f n) in f 0.894 * [taylor]: Taking taylor expansion of f in f 0.894 * [taylor]: Taking taylor expansion of n in f 0.894 * [taylor]: Taking taylor expansion of 1 in n 0.896 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.896 * [taylor]: Taking taylor expansion of 2 in n 0.896 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.896 * [taylor]: Taking taylor expansion of n in n 0.898 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.898 * [taylor]: Taking taylor expansion of 2 in n 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.898 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.898 * [taylor]: Taking taylor expansion of n in n 0.903 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.903 * [taylor]: Taking taylor expansion of 2 in n 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.903 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.903 * [taylor]: Taking taylor expansion of n in n 0.909 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.909 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.909 * [taylor]: Taking taylor expansion of -1 in n 0.909 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.909 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.909 * [taylor]: Taking taylor expansion of f in n 0.909 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.909 * [taylor]: Taking taylor expansion of n in n 0.909 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.909 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.909 * [taylor]: Taking taylor expansion of f in n 0.909 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.909 * [taylor]: Taking taylor expansion of n in n 0.911 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.911 * [taylor]: Taking taylor expansion of -1 in f 0.911 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.911 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.911 * [taylor]: Taking taylor expansion of f in f 0.911 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.911 * [taylor]: Taking taylor expansion of n in f 0.911 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.911 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.911 * [taylor]: Taking taylor expansion of f in f 0.911 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.911 * [taylor]: Taking taylor expansion of n in f 0.912 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.912 * [taylor]: Taking taylor expansion of -1 in f 0.912 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.912 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.912 * [taylor]: Taking taylor expansion of f in f 0.913 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.913 * [taylor]: Taking taylor expansion of n in f 0.913 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.913 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.913 * [taylor]: Taking taylor expansion of f in f 0.913 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.913 * [taylor]: Taking taylor expansion of n in f 0.914 * [taylor]: Taking taylor expansion of -1 in n 0.915 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.916 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.916 * [taylor]: Taking taylor expansion of 2 in n 0.916 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.916 * [taylor]: Taking taylor expansion of n in n 0.920 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.920 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.920 * [taylor]: Taking taylor expansion of 2 in n 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.920 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.920 * [taylor]: Taking taylor expansion of n in n 0.927 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.927 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.927 * [taylor]: Taking taylor expansion of 2 in n 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.927 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.927 * [taylor]: Taking taylor expansion of n in n 0.938 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.938 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.938 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.938 * [taylor]: Taking taylor expansion of f in n 0.938 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.938 * [taylor]: Taking taylor expansion of n in n 0.938 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.938 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.938 * [taylor]: Taking taylor expansion of n in n 0.939 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.939 * [taylor]: Taking taylor expansion of f in n 0.939 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.939 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.939 * [taylor]: Taking taylor expansion of f in f 0.940 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.940 * [taylor]: Taking taylor expansion of n in f 0.940 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.940 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.940 * [taylor]: Taking taylor expansion of n in f 0.940 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.940 * [taylor]: Taking taylor expansion of f in f 0.941 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.941 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.941 * [taylor]: Taking taylor expansion of f in f 0.941 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.941 * [taylor]: Taking taylor expansion of n in f 0.941 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.941 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.941 * [taylor]: Taking taylor expansion of n in f 0.942 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.942 * [taylor]: Taking taylor expansion of f in f 0.943 * [taylor]: Taking taylor expansion of -1 in n 0.944 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.944 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.944 * [taylor]: Taking taylor expansion of 2 in n 0.944 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.944 * [taylor]: Taking taylor expansion of n in n 0.948 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.948 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.948 * [taylor]: Taking taylor expansion of 2 in n 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.948 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.948 * [taylor]: Taking taylor expansion of n in n 0.955 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.955 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.955 * [taylor]: Taking taylor expansion of 2 in n 0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.955 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.955 * [taylor]: Taking taylor expansion of n in n 0.960 * * * [progress]: simplifying candidates 0.962 * [simplify]: Simplifying using # : (exp (/ (- (+ f n)) (- f n))) (expm1 (expm1 (/ (- (+ f n)) (- f n)))) (log1p (expm1 (/ (- (+ f n)) (- f n)))) (log (expm1 (/ (- (+ f n)) (- f n)))) (exp (expm1 (/ (- (+ f n)) (- f n)))) (* (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (cbrt (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (* (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (+ 1 (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log1p (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log (log1p (expm1 (/ (- (+ f n)) (- f n))))) (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))) (* (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n)))))) (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (* (* (log1p (expm1 (/ (- (+ f n)) (- f n)))) (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log1p (expm1 (/ (- (+ f n)) (- f n))))) (sqrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (sqrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (- E 1) (- (exp -1) 1) (- (exp -1) 1) 1 -1 -1 1 -1 -1 0.968 * * [simplify]: iteration 0 : 323 enodes (cost 918 ) 0.973 * * [simplify]: iteration 1 : 971 enodes (cost 882 ) 0.986 * * [simplify]: iteration 2 : 3076 enodes (cost 867 ) 1.023 * * [simplify]: iteration 3 : 5001 enodes (cost 867 ) 1.027 * [simplify]: Simplified to: (exp (/ (- (+ f n)) (- f n))) (expm1 (expm1 (/ (- (+ f n)) (- f n)))) (/ (- (+ f n)) (- f n)) (log (expm1 (/ (- (+ f n)) (- f n)))) (exp (expm1 (/ (- (+ f n)) (- f n)))) (* (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (cbrt (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (pow (expm1 (/ (- (+ f n)) (- f n))) 3) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (+ 1 (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ f n) (- n f) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (fma f f (- (* n n) (* f n))) (- f n)) (* (- f n) (- f n)) (- E 1) (expm1 -1) (expm1 -1) 1 -1 -1 1 -1 -1 1.028 * * * [progress]: adding candidates to table 1.264 * * [progress]: iteration 3 / 4 1.264 * * * [progress]: picking best candidate 1.267 * * * * [pick]: Picked # 1.267 * * * [progress]: localizing error 1.276 * * * [progress]: generating rewritten candidates 1.276 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.293 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.328 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.377 * * * [progress]: generating series expansions 1.377 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.377 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.377 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.377 * [taylor]: Taking taylor expansion of -1 in n 1.377 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.377 * [taylor]: Taking taylor expansion of (+ n f) in n 1.377 * [taylor]: Taking taylor expansion of n in n 1.377 * [taylor]: Taking taylor expansion of f in n 1.377 * [taylor]: Taking taylor expansion of (- f n) in n 1.377 * [taylor]: Taking taylor expansion of f in n 1.377 * [taylor]: Taking taylor expansion of n in n 1.378 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.378 * [taylor]: Taking taylor expansion of -1 in f 1.378 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.378 * [taylor]: Taking taylor expansion of (+ n f) in f 1.378 * [taylor]: Taking taylor expansion of n in f 1.378 * [taylor]: Taking taylor expansion of f in f 1.378 * [taylor]: Taking taylor expansion of (- f n) in f 1.378 * [taylor]: Taking taylor expansion of f in f 1.378 * [taylor]: Taking taylor expansion of n in f 1.378 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.378 * [taylor]: Taking taylor expansion of -1 in f 1.378 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.378 * [taylor]: Taking taylor expansion of (+ n f) in f 1.378 * [taylor]: Taking taylor expansion of n in f 1.378 * [taylor]: Taking taylor expansion of f in f 1.378 * [taylor]: Taking taylor expansion of (- f n) in f 1.378 * [taylor]: Taking taylor expansion of f in f 1.378 * [taylor]: Taking taylor expansion of n in f 1.379 * [taylor]: Taking taylor expansion of 1 in n 1.380 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.380 * [taylor]: Taking taylor expansion of 2 in n 1.380 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.380 * [taylor]: Taking taylor expansion of n in n 1.383 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.383 * [taylor]: Taking taylor expansion of 2 in n 1.383 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.383 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.383 * [taylor]: Taking taylor expansion of n in n 1.388 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.388 * [taylor]: Taking taylor expansion of 2 in n 1.388 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.388 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.388 * [taylor]: Taking taylor expansion of n in n 1.393 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.393 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.393 * [taylor]: Taking taylor expansion of -1 in n 1.393 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.393 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.393 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.393 * [taylor]: Taking taylor expansion of f in n 1.393 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.393 * [taylor]: Taking taylor expansion of n in n 1.394 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.394 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.394 * [taylor]: Taking taylor expansion of f in n 1.394 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.394 * [taylor]: Taking taylor expansion of n in n 1.395 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.395 * [taylor]: Taking taylor expansion of -1 in f 1.395 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.395 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.395 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.395 * [taylor]: Taking taylor expansion of f in f 1.395 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.395 * [taylor]: Taking taylor expansion of n in f 1.395 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.395 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.395 * [taylor]: Taking taylor expansion of f in f 1.396 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.396 * [taylor]: Taking taylor expansion of n in f 1.397 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.397 * [taylor]: Taking taylor expansion of -1 in f 1.397 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.397 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.397 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.397 * [taylor]: Taking taylor expansion of f in f 1.397 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.397 * [taylor]: Taking taylor expansion of n in f 1.397 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.397 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.397 * [taylor]: Taking taylor expansion of f in f 1.397 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.397 * [taylor]: Taking taylor expansion of n in f 1.398 * [taylor]: Taking taylor expansion of -1 in n 1.400 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.400 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.400 * [taylor]: Taking taylor expansion of 2 in n 1.400 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.400 * [taylor]: Taking taylor expansion of n in n 1.409 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.409 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.409 * [taylor]: Taking taylor expansion of 2 in n 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.409 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.409 * [taylor]: Taking taylor expansion of n in n 1.416 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.416 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.416 * [taylor]: Taking taylor expansion of 2 in n 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.416 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.416 * [taylor]: Taking taylor expansion of n in n 1.422 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.422 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.422 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.422 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.422 * [taylor]: Taking taylor expansion of f in n 1.422 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.422 * [taylor]: Taking taylor expansion of n in n 1.422 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.422 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.422 * [taylor]: Taking taylor expansion of n in n 1.423 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.423 * [taylor]: Taking taylor expansion of f in n 1.423 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.423 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.423 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.424 * [taylor]: Taking taylor expansion of f in f 1.424 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.424 * [taylor]: Taking taylor expansion of n in f 1.424 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.424 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.424 * [taylor]: Taking taylor expansion of n in f 1.424 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.424 * [taylor]: Taking taylor expansion of f in f 1.425 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.425 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.425 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.425 * [taylor]: Taking taylor expansion of f in f 1.425 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.425 * [taylor]: Taking taylor expansion of n in f 1.425 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.425 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.426 * [taylor]: Taking taylor expansion of n in f 1.426 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.426 * [taylor]: Taking taylor expansion of f in f 1.427 * [taylor]: Taking taylor expansion of -1 in n 1.428 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.428 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.428 * [taylor]: Taking taylor expansion of 2 in n 1.428 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.428 * [taylor]: Taking taylor expansion of n in n 1.432 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.432 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.432 * [taylor]: Taking taylor expansion of 2 in n 1.432 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.432 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.432 * [taylor]: Taking taylor expansion of n in n 1.439 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.439 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.439 * [taylor]: Taking taylor expansion of 2 in n 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.439 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.439 * [taylor]: Taking taylor expansion of n in n 1.444 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.444 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.444 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.444 * [taylor]: Taking taylor expansion of -1 in n 1.445 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.445 * [taylor]: Taking taylor expansion of (+ n f) in n 1.445 * [taylor]: Taking taylor expansion of n in n 1.445 * [taylor]: Taking taylor expansion of f in n 1.445 * [taylor]: Taking taylor expansion of (- f n) in n 1.445 * [taylor]: Taking taylor expansion of f in n 1.445 * [taylor]: Taking taylor expansion of n in n 1.445 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.445 * [taylor]: Taking taylor expansion of -1 in f 1.445 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.445 * [taylor]: Taking taylor expansion of (+ n f) in f 1.445 * [taylor]: Taking taylor expansion of n in f 1.445 * [taylor]: Taking taylor expansion of f in f 1.445 * [taylor]: Taking taylor expansion of (- f n) in f 1.445 * [taylor]: Taking taylor expansion of f in f 1.445 * [taylor]: Taking taylor expansion of n in f 1.445 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.445 * [taylor]: Taking taylor expansion of -1 in f 1.445 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.445 * [taylor]: Taking taylor expansion of (+ n f) in f 1.445 * [taylor]: Taking taylor expansion of n in f 1.445 * [taylor]: Taking taylor expansion of f in f 1.445 * [taylor]: Taking taylor expansion of (- f n) in f 1.445 * [taylor]: Taking taylor expansion of f in f 1.445 * [taylor]: Taking taylor expansion of n in f 1.446 * [taylor]: Taking taylor expansion of 1 in n 1.447 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.447 * [taylor]: Taking taylor expansion of 2 in n 1.447 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.447 * [taylor]: Taking taylor expansion of n in n 1.449 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.449 * [taylor]: Taking taylor expansion of 2 in n 1.449 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.449 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.449 * [taylor]: Taking taylor expansion of n in n 1.454 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.454 * [taylor]: Taking taylor expansion of 2 in n 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.454 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.455 * [taylor]: Taking taylor expansion of n in n 1.460 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.460 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.460 * [taylor]: Taking taylor expansion of -1 in n 1.460 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.460 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.460 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.460 * [taylor]: Taking taylor expansion of f in n 1.460 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.460 * [taylor]: Taking taylor expansion of n in n 1.461 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.461 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.461 * [taylor]: Taking taylor expansion of f in n 1.461 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.461 * [taylor]: Taking taylor expansion of n in n 1.462 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.462 * [taylor]: Taking taylor expansion of -1 in f 1.462 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.462 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.462 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.462 * [taylor]: Taking taylor expansion of f in f 1.462 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.462 * [taylor]: Taking taylor expansion of n in f 1.462 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.462 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.462 * [taylor]: Taking taylor expansion of f in f 1.463 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.463 * [taylor]: Taking taylor expansion of n in f 1.463 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.464 * [taylor]: Taking taylor expansion of -1 in f 1.464 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.464 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.464 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.464 * [taylor]: Taking taylor expansion of f in f 1.464 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.464 * [taylor]: Taking taylor expansion of n in f 1.464 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.464 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.464 * [taylor]: Taking taylor expansion of f in f 1.464 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.464 * [taylor]: Taking taylor expansion of n in f 1.465 * [taylor]: Taking taylor expansion of -1 in n 1.467 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.467 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.467 * [taylor]: Taking taylor expansion of 2 in n 1.467 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.467 * [taylor]: Taking taylor expansion of n in n 1.471 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.471 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.471 * [taylor]: Taking taylor expansion of 2 in n 1.471 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.471 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.471 * [taylor]: Taking taylor expansion of n in n 1.478 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.478 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.478 * [taylor]: Taking taylor expansion of 2 in n 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.478 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.478 * [taylor]: Taking taylor expansion of n in n 1.488 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.488 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.488 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.488 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.488 * [taylor]: Taking taylor expansion of f in n 1.488 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.488 * [taylor]: Taking taylor expansion of n in n 1.488 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.488 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.488 * [taylor]: Taking taylor expansion of n in n 1.489 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.489 * [taylor]: Taking taylor expansion of f in n 1.489 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.490 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.490 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.490 * [taylor]: Taking taylor expansion of f in f 1.490 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.490 * [taylor]: Taking taylor expansion of n in f 1.490 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.490 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.490 * [taylor]: Taking taylor expansion of n in f 1.490 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.490 * [taylor]: Taking taylor expansion of f in f 1.491 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.491 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.491 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.491 * [taylor]: Taking taylor expansion of f in f 1.491 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.491 * [taylor]: Taking taylor expansion of n in f 1.491 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.492 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.492 * [taylor]: Taking taylor expansion of n in f 1.492 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.492 * [taylor]: Taking taylor expansion of f in f 1.493 * [taylor]: Taking taylor expansion of -1 in n 1.494 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.494 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.494 * [taylor]: Taking taylor expansion of 2 in n 1.494 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.494 * [taylor]: Taking taylor expansion of n in n 1.498 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.498 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.498 * [taylor]: Taking taylor expansion of 2 in n 1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.498 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.498 * [taylor]: Taking taylor expansion of n in n 1.505 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.505 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.505 * [taylor]: Taking taylor expansion of 2 in n 1.505 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.505 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.505 * [taylor]: Taking taylor expansion of n in n 1.510 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.510 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 1.510 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 1.510 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.511 * [taylor]: Taking taylor expansion of -1 in n 1.511 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.511 * [taylor]: Taking taylor expansion of (+ n f) in n 1.511 * [taylor]: Taking taylor expansion of n in n 1.511 * [taylor]: Taking taylor expansion of f in n 1.511 * [taylor]: Taking taylor expansion of (- f n) in n 1.511 * [taylor]: Taking taylor expansion of f in n 1.511 * [taylor]: Taking taylor expansion of n in n 1.511 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.511 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.511 * [taylor]: Taking taylor expansion of -1 in f 1.511 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.512 * [taylor]: Taking taylor expansion of (+ n f) in f 1.512 * [taylor]: Taking taylor expansion of n in f 1.512 * [taylor]: Taking taylor expansion of f in f 1.512 * [taylor]: Taking taylor expansion of (- f n) in f 1.512 * [taylor]: Taking taylor expansion of f in f 1.512 * [taylor]: Taking taylor expansion of n in f 1.512 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.512 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.512 * [taylor]: Taking taylor expansion of -1 in f 1.512 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.512 * [taylor]: Taking taylor expansion of (+ n f) in f 1.512 * [taylor]: Taking taylor expansion of n in f 1.512 * [taylor]: Taking taylor expansion of f in f 1.512 * [taylor]: Taking taylor expansion of (- f n) in f 1.512 * [taylor]: Taking taylor expansion of f in f 1.512 * [taylor]: Taking taylor expansion of n in f 1.512 * [taylor]: Taking taylor expansion of E in n 1.514 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 1.514 * [taylor]: Taking taylor expansion of 2 in n 1.514 * [taylor]: Taking taylor expansion of (/ E n) in n 1.514 * [taylor]: Taking taylor expansion of E in n 1.514 * [taylor]: Taking taylor expansion of n in n 1.517 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 1.517 * [taylor]: Taking taylor expansion of 4 in n 1.517 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 1.517 * [taylor]: Taking taylor expansion of E in n 1.517 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.517 * [taylor]: Taking taylor expansion of n in n 1.523 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 1.523 * [taylor]: Taking taylor expansion of 22/3 in n 1.523 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 1.523 * [taylor]: Taking taylor expansion of E in n 1.523 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.523 * [taylor]: Taking taylor expansion of n in n 1.529 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 1.529 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.529 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.529 * [taylor]: Taking taylor expansion of -1 in n 1.529 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.529 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.529 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.529 * [taylor]: Taking taylor expansion of f in n 1.529 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.529 * [taylor]: Taking taylor expansion of n in n 1.529 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.529 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.529 * [taylor]: Taking taylor expansion of f in n 1.529 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.529 * [taylor]: Taking taylor expansion of n in n 1.531 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.531 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.531 * [taylor]: Taking taylor expansion of -1 in f 1.531 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.531 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.531 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.531 * [taylor]: Taking taylor expansion of f in f 1.531 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.531 * [taylor]: Taking taylor expansion of n in f 1.531 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.531 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.531 * [taylor]: Taking taylor expansion of f in f 1.531 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.531 * [taylor]: Taking taylor expansion of n in f 1.533 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.533 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.533 * [taylor]: Taking taylor expansion of -1 in f 1.533 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.533 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.533 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.533 * [taylor]: Taking taylor expansion of f in f 1.533 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.533 * [taylor]: Taking taylor expansion of n in f 1.533 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.533 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.533 * [taylor]: Taking taylor expansion of f in f 1.533 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.533 * [taylor]: Taking taylor expansion of n in f 1.535 * [taylor]: Taking taylor expansion of (exp -1) in n 1.535 * [taylor]: Taking taylor expansion of -1 in n 1.537 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 1.537 * [taylor]: Taking taylor expansion of -2 in n 1.537 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.537 * [taylor]: Taking taylor expansion of (exp -1) in n 1.537 * [taylor]: Taking taylor expansion of -1 in n 1.537 * [taylor]: Taking taylor expansion of n in n 1.543 * [taylor]: Taking taylor expansion of 0 in n 1.550 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 1.551 * [taylor]: Taking taylor expansion of 2/3 in n 1.551 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 1.551 * [taylor]: Taking taylor expansion of (exp -1) in n 1.551 * [taylor]: Taking taylor expansion of -1 in n 1.551 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.551 * [taylor]: Taking taylor expansion of n in n 1.560 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 1.560 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.560 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.560 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.560 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.560 * [taylor]: Taking taylor expansion of f in n 1.560 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.560 * [taylor]: Taking taylor expansion of n in n 1.560 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.560 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.560 * [taylor]: Taking taylor expansion of n in n 1.561 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.561 * [taylor]: Taking taylor expansion of f in n 1.561 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.561 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.561 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.561 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.561 * [taylor]: Taking taylor expansion of f in f 1.562 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.562 * [taylor]: Taking taylor expansion of n in f 1.562 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.562 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.562 * [taylor]: Taking taylor expansion of n in f 1.562 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.562 * [taylor]: Taking taylor expansion of f in f 1.563 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.563 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.563 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.563 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.563 * [taylor]: Taking taylor expansion of f in f 1.564 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.564 * [taylor]: Taking taylor expansion of n in f 1.564 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.564 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.564 * [taylor]: Taking taylor expansion of n in f 1.564 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.564 * [taylor]: Taking taylor expansion of f in f 1.565 * [taylor]: Taking taylor expansion of (exp -1) in n 1.565 * [taylor]: Taking taylor expansion of -1 in n 1.572 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 1.572 * [taylor]: Taking taylor expansion of -2 in n 1.572 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.572 * [taylor]: Taking taylor expansion of (exp -1) in n 1.572 * [taylor]: Taking taylor expansion of -1 in n 1.573 * [taylor]: Taking taylor expansion of n in n 1.579 * [taylor]: Taking taylor expansion of 0 in n 1.586 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 1.586 * [taylor]: Taking taylor expansion of 2/3 in n 1.586 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 1.586 * [taylor]: Taking taylor expansion of (exp -1) in n 1.586 * [taylor]: Taking taylor expansion of -1 in n 1.586 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.586 * [taylor]: Taking taylor expansion of n in n 1.595 * * * [progress]: simplifying candidates 1.598 * [simplify]: Simplifying using # : (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) 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n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt f) (sqrt n))) 1 (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt f) (sqrt n))) 1 1 (- (+ f n)) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (expm1 (exp (/ (- (+ f n)) (- f n)))) (log1p (exp (/ (- (+ f n)) (- f n)))) (exp (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (exp (sqrt (/ (- (+ f n)) (- f n)))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n)))) (pow (exp (cbrt (- (+ f n)))) (cbrt (- (+ f n)))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n)))) (pow (exp (cbrt (- (+ f n)))) (cbrt (- (+ f n)))) (exp (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (- (+ f n))) (sqrt (- f n)))) (exp (sqrt (- (+ f n)))) (exp (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (sqrt (- (+ f n)))) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (/ 1 E) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (/ 1 E) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n)))) (pow (exp (- (cbrt (+ f n)))) (cbrt (+ f n))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n)))) (pow (exp (- (cbrt (+ f n)))) (cbrt (+ f n))) (exp (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (sqrt (+ f n))) (sqrt (- f n)))) (/ 1 (exp (sqrt (+ f n)))) (exp (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (/ 1 (exp (sqrt (+ f n)))) (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (/ 1 E) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (/ 1 E) (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (/ 1 E) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (/ 1 E) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))) (pow (exp (cbrt (+ f n))) (cbrt (+ f n))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))) (pow (exp (cbrt (+ f n))) (cbrt (+ f n))) (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (+ f n)) (sqrt (- f n)))) (exp (sqrt (+ f n))) (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (exp (sqrt (+ f n))) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E E (exp (- (+ f n))) (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) (pow (/ 1 E) (/ 1 (- f n))) (exp (/ (+ f n) (- f n))) 1 (exp (/ (+ f n) (- f n))) (/ (- (+ f n)) (- f n)) (exp (exp (/ (- (+ f n)) (- f n)))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (pow (exp (/ (- (+ f n)) (- f n))) 3) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) 1 -1 -1 1 -1 -1 E (/ 1 E) (/ 1 E) 1.675 * * * [progress]: adding candidates to table 2.133 * * [progress]: iteration 4 / 4 2.133 * * * [progress]: picking best candidate 2.135 * * * * [pick]: Picked # 2.135 * * * [progress]: localizing error 2.144 * * * [progress]: generating rewritten candidates 2.144 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 2.144 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 2.161 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.165 * * * [progress]: generating series expansions 2.165 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 2.166 * [approximate]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 2.166 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in n 2.166 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.166 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in n 2.166 * [taylor]: Taking taylor expansion of 1 in n 2.166 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.166 * [taylor]: Taking taylor expansion of -1 in n 2.166 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.166 * [taylor]: Taking taylor expansion of (+ n f) in n 2.166 * [taylor]: Taking taylor expansion of n in n 2.166 * [taylor]: Taking taylor expansion of f in n 2.166 * [taylor]: Taking taylor expansion of (- f n) in n 2.166 * [taylor]: Taking taylor expansion of f in n 2.166 * [taylor]: Taking taylor expansion of n in n 2.168 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 2.168 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.168 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 2.168 * [taylor]: Taking taylor expansion of 1 in f 2.168 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.168 * [taylor]: Taking taylor expansion of -1 in f 2.168 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.168 * [taylor]: Taking taylor expansion of (+ n f) in f 2.168 * [taylor]: Taking taylor expansion of n in f 2.168 * [taylor]: Taking taylor expansion of f in f 2.168 * [taylor]: Taking taylor expansion of (- f n) in f 2.168 * [taylor]: Taking taylor expansion of f in f 2.168 * [taylor]: Taking taylor expansion of n in f 2.169 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 2.169 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.169 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 2.169 * [taylor]: Taking taylor expansion of 1 in f 2.169 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.169 * [taylor]: Taking taylor expansion of -1 in f 2.169 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.169 * [taylor]: Taking taylor expansion of (+ n f) in f 2.170 * [taylor]: Taking taylor expansion of n in f 2.170 * [taylor]: Taking taylor expansion of f in f 2.170 * [taylor]: Taking taylor expansion of (- f n) in f 2.170 * [taylor]: Taking taylor expansion of f in f 2.170 * [taylor]: Taking taylor expansion of n in f 2.171 * [taylor]: Taking taylor expansion of (log 2) in n 2.171 * [taylor]: Taking taylor expansion of 2 in n 2.173 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.173 * [taylor]: Taking taylor expansion of n in n 2.177 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 2.177 * [taylor]: Taking taylor expansion of 1/2 in n 2.177 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.177 * [taylor]: Taking taylor expansion of n in n 2.184 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 2.184 * [taylor]: Taking taylor expansion of 1/3 in n 2.184 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.184 * [taylor]: Taking taylor expansion of n in n 2.189 * [approximate]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 2.189 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.189 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.189 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.189 * [taylor]: Taking taylor expansion of 1 in n 2.189 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.189 * [taylor]: Taking taylor expansion of -1 in n 2.189 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.189 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.189 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.190 * [taylor]: Taking taylor expansion of f in n 2.190 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.190 * [taylor]: Taking taylor expansion of n in n 2.190 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.190 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.190 * [taylor]: Taking taylor expansion of f in n 2.190 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.190 * [taylor]: Taking taylor expansion of n in n 2.192 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.192 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.192 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.192 * [taylor]: Taking taylor expansion of 1 in f 2.192 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.192 * [taylor]: Taking taylor expansion of -1 in f 2.192 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.192 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.192 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.192 * [taylor]: Taking taylor expansion of f in f 2.193 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.193 * [taylor]: Taking taylor expansion of n in f 2.193 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.193 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.193 * [taylor]: Taking taylor expansion of f in f 2.193 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.193 * [taylor]: Taking taylor expansion of n in f 2.195 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.196 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.196 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.196 * [taylor]: Taking taylor expansion of 1 in f 2.196 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.196 * [taylor]: Taking taylor expansion of -1 in f 2.196 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.196 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.196 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.196 * [taylor]: Taking taylor expansion of f in f 2.196 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.196 * [taylor]: Taking taylor expansion of n in f 2.196 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.196 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.196 * [taylor]: Taking taylor expansion of f in f 2.196 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.196 * [taylor]: Taking taylor expansion of n in f 2.200 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.200 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.200 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.200 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.200 * [taylor]: Taking taylor expansion of 2 in n 2.200 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.200 * [taylor]: Taking taylor expansion of n in n 2.201 * [taylor]: Taking taylor expansion of (log f) in n 2.201 * [taylor]: Taking taylor expansion of f in n 2.206 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.206 * [taylor]: Taking taylor expansion of n in n 2.217 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 2.217 * [taylor]: Taking taylor expansion of 1/2 in n 2.217 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.217 * [taylor]: Taking taylor expansion of n in n 2.230 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 2.231 * [taylor]: Taking taylor expansion of 1/3 in n 2.231 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.231 * [taylor]: Taking taylor expansion of n in n 2.236 * [approximate]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 2.236 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.236 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.236 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.236 * [taylor]: Taking taylor expansion of 1 in n 2.236 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.236 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.236 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.236 * [taylor]: Taking taylor expansion of f in n 2.236 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.236 * [taylor]: Taking taylor expansion of n in n 2.236 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.237 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.237 * [taylor]: Taking taylor expansion of n in n 2.237 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.237 * [taylor]: Taking taylor expansion of f in n 2.238 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.238 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.238 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.238 * [taylor]: Taking taylor expansion of 1 in f 2.238 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.238 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.238 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.238 * [taylor]: Taking taylor expansion of f in f 2.238 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.239 * [taylor]: Taking taylor expansion of n in f 2.239 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.239 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.239 * [taylor]: Taking taylor expansion of n in f 2.239 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.239 * [taylor]: Taking taylor expansion of f in f 2.241 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.241 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.241 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.241 * [taylor]: Taking taylor expansion of 1 in f 2.241 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.242 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.242 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.242 * [taylor]: Taking taylor expansion of f in f 2.242 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.242 * [taylor]: Taking taylor expansion of n in f 2.242 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.242 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.242 * [taylor]: Taking taylor expansion of n in f 2.242 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.242 * [taylor]: Taking taylor expansion of f in f 2.245 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.245 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.245 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.245 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.245 * [taylor]: Taking taylor expansion of 2 in n 2.245 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.245 * [taylor]: Taking taylor expansion of n in n 2.246 * [taylor]: Taking taylor expansion of (log f) in n 2.247 * [taylor]: Taking taylor expansion of f in n 2.251 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.251 * [taylor]: Taking taylor expansion of n in n 2.258 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 2.258 * [taylor]: Taking taylor expansion of 1/2 in n 2.258 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.258 * [taylor]: Taking taylor expansion of n in n 2.269 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 2.269 * [taylor]: Taking taylor expansion of 1/3 in n 2.269 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.269 * [taylor]: Taking taylor expansion of n in n 2.275 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 2.275 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.275 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.275 * [taylor]: Taking taylor expansion of -1 in n 2.275 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.275 * [taylor]: Taking taylor expansion of (+ n f) in n 2.275 * [taylor]: Taking taylor expansion of n in n 2.275 * [taylor]: Taking taylor expansion of f in n 2.275 * [taylor]: Taking taylor expansion of (- f n) in n 2.275 * [taylor]: Taking taylor expansion of f in n 2.275 * [taylor]: Taking taylor expansion of n in n 2.275 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.275 * [taylor]: Taking taylor expansion of -1 in f 2.275 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.276 * [taylor]: Taking taylor expansion of (+ n f) in f 2.276 * [taylor]: Taking taylor expansion of n in f 2.276 * [taylor]: Taking taylor expansion of f in f 2.276 * [taylor]: Taking taylor expansion of (- f n) in f 2.276 * [taylor]: Taking taylor expansion of f in f 2.276 * [taylor]: Taking taylor expansion of n in f 2.276 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.276 * [taylor]: Taking taylor expansion of -1 in f 2.276 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.276 * [taylor]: Taking taylor expansion of (+ n f) in f 2.276 * [taylor]: Taking taylor expansion of n in f 2.276 * [taylor]: Taking taylor expansion of f in f 2.276 * [taylor]: Taking taylor expansion of (- f n) in f 2.276 * [taylor]: Taking taylor expansion of f in f 2.276 * [taylor]: Taking taylor expansion of n in f 2.276 * [taylor]: Taking taylor expansion of 1 in n 2.277 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.277 * [taylor]: Taking taylor expansion of 2 in n 2.277 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.277 * [taylor]: Taking taylor expansion of n in n 2.280 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.280 * [taylor]: Taking taylor expansion of 2 in n 2.280 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.280 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.280 * [taylor]: Taking taylor expansion of n in n 2.285 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.285 * [taylor]: Taking taylor expansion of 2 in n 2.285 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.285 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.285 * [taylor]: Taking taylor expansion of n in n 2.290 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.290 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.291 * [taylor]: Taking taylor expansion of -1 in n 2.291 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.291 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.291 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.291 * [taylor]: Taking taylor expansion of f in n 2.291 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.291 * [taylor]: Taking taylor expansion of n in n 2.291 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.291 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.291 * [taylor]: Taking taylor expansion of f in n 2.291 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.291 * [taylor]: Taking taylor expansion of n in n 2.292 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.293 * [taylor]: Taking taylor expansion of -1 in f 2.293 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.293 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.293 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.293 * [taylor]: Taking taylor expansion of f in f 2.293 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.293 * [taylor]: Taking taylor expansion of n in f 2.293 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.293 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.293 * [taylor]: Taking taylor expansion of f in f 2.293 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.293 * [taylor]: Taking taylor expansion of n in f 2.294 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.294 * [taylor]: Taking taylor expansion of -1 in f 2.294 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.294 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.294 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.294 * [taylor]: Taking taylor expansion of f in f 2.294 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.294 * [taylor]: Taking taylor expansion of n in f 2.294 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.294 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.294 * [taylor]: Taking taylor expansion of f in f 2.295 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.295 * [taylor]: Taking taylor expansion of n in f 2.300 * [taylor]: Taking taylor expansion of -1 in n 2.302 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.302 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.302 * [taylor]: Taking taylor expansion of 2 in n 2.302 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.302 * [taylor]: Taking taylor expansion of n in n 2.306 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.306 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.306 * [taylor]: Taking taylor expansion of 2 in n 2.306 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.306 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.306 * [taylor]: Taking taylor expansion of n in n 2.314 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.314 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.314 * [taylor]: Taking taylor expansion of 2 in n 2.314 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.314 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.314 * [taylor]: Taking taylor expansion of n in n 2.320 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.320 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.320 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.320 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.320 * [taylor]: Taking taylor expansion of f in n 2.320 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.320 * [taylor]: Taking taylor expansion of n in n 2.320 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.320 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.320 * [taylor]: Taking taylor expansion of n in n 2.320 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.320 * [taylor]: Taking taylor expansion of f in n 2.321 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.321 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.321 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.321 * [taylor]: Taking taylor expansion of f in f 2.322 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.322 * [taylor]: Taking taylor expansion of n in f 2.322 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.322 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.322 * [taylor]: Taking taylor expansion of n in f 2.322 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.322 * [taylor]: Taking taylor expansion of f in f 2.323 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.323 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.323 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.323 * [taylor]: Taking taylor expansion of f in f 2.323 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.323 * [taylor]: Taking taylor expansion of n in f 2.323 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.323 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.323 * [taylor]: Taking taylor expansion of n in f 2.323 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.323 * [taylor]: Taking taylor expansion of f in f 2.325 * [taylor]: Taking taylor expansion of -1 in n 2.326 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.326 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.326 * [taylor]: Taking taylor expansion of 2 in n 2.326 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.326 * [taylor]: Taking taylor expansion of n in n 2.330 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.330 * [taylor]: Taking taylor expansion of 2 in n 2.330 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.330 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.330 * [taylor]: Taking taylor expansion of n in n 2.337 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.337 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.337 * [taylor]: Taking taylor expansion of 2 in n 2.337 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.337 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.337 * [taylor]: Taking taylor expansion of n in n 2.342 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.343 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 2.343 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in n 2.343 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 2.343 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in n 2.343 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in n 2.343 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.343 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in n 2.343 * [taylor]: Taking taylor expansion of 1 in n 2.343 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.343 * [taylor]: Taking taylor expansion of -1 in n 2.343 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.343 * [taylor]: Taking taylor expansion of (+ n f) in n 2.343 * [taylor]: Taking taylor expansion of n in n 2.343 * [taylor]: Taking taylor expansion of f in n 2.343 * [taylor]: Taking taylor expansion of (- f n) in n 2.343 * [taylor]: Taking taylor expansion of f in n 2.343 * [taylor]: Taking taylor expansion of n in n 2.346 * [taylor]: Taking taylor expansion of 1 in n 2.346 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in f 2.346 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 2.346 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in f 2.346 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 2.346 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.346 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 2.346 * [taylor]: Taking taylor expansion of 1 in f 2.346 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.346 * [taylor]: Taking taylor expansion of -1 in f 2.346 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.346 * [taylor]: Taking taylor expansion of (+ n f) in f 2.346 * [taylor]: Taking taylor expansion of n in f 2.346 * [taylor]: Taking taylor expansion of f in f 2.346 * [taylor]: Taking taylor expansion of (- f n) in f 2.346 * [taylor]: Taking taylor expansion of f in f 2.346 * [taylor]: Taking taylor expansion of n in f 2.348 * [taylor]: Taking taylor expansion of 1 in f 2.348 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in f 2.348 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 2.348 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in f 2.348 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 2.348 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 2.348 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 2.348 * [taylor]: Taking taylor expansion of 1 in f 2.348 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.348 * [taylor]: Taking taylor expansion of -1 in f 2.348 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.348 * [taylor]: Taking taylor expansion of (+ n f) in f 2.348 * [taylor]: Taking taylor expansion of n in f 2.348 * [taylor]: Taking taylor expansion of f in f 2.348 * [taylor]: Taking taylor expansion of (- f n) in f 2.348 * [taylor]: Taking taylor expansion of f in f 2.348 * [taylor]: Taking taylor expansion of n in f 2.349 * [taylor]: Taking taylor expansion of 1 in f 2.350 * [taylor]: Taking taylor expansion of 1 in n 2.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.353 * [taylor]: Taking taylor expansion of 2 in n 2.353 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.353 * [taylor]: Taking taylor expansion of n in n 2.357 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.357 * [taylor]: Taking taylor expansion of 2 in n 2.357 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.357 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.357 * [taylor]: Taking taylor expansion of n in n 2.365 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.365 * [taylor]: Taking taylor expansion of 2 in n 2.365 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.365 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.365 * [taylor]: Taking taylor expansion of n in n 2.371 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 2.371 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 2.371 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 2.371 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 2.372 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.372 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.372 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.372 * [taylor]: Taking taylor expansion of 1 in n 2.372 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.372 * [taylor]: Taking taylor expansion of -1 in n 2.372 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.372 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.372 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.372 * [taylor]: Taking taylor expansion of f in n 2.372 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.372 * [taylor]: Taking taylor expansion of n in n 2.372 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.372 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.372 * [taylor]: Taking taylor expansion of f in n 2.372 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.372 * [taylor]: Taking taylor expansion of n in n 2.375 * [taylor]: Taking taylor expansion of 1 in n 2.375 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.375 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 2.375 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.375 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.375 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.375 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.375 * [taylor]: Taking taylor expansion of 1 in f 2.375 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.375 * [taylor]: Taking taylor expansion of -1 in f 2.375 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.375 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.375 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.375 * [taylor]: Taking taylor expansion of f in f 2.375 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.375 * [taylor]: Taking taylor expansion of n in f 2.375 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.375 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.376 * [taylor]: Taking taylor expansion of f in f 2.376 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.376 * [taylor]: Taking taylor expansion of n in f 2.379 * [taylor]: Taking taylor expansion of 1 in f 2.379 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.379 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 2.379 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 2.379 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.379 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 2.379 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.379 * [taylor]: Taking taylor expansion of 1 in f 2.379 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.379 * [taylor]: Taking taylor expansion of -1 in f 2.379 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.380 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.380 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.380 * [taylor]: Taking taylor expansion of f in f 2.380 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.380 * [taylor]: Taking taylor expansion of n in f 2.380 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.380 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.380 * [taylor]: Taking taylor expansion of f in f 2.380 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.380 * [taylor]: Taking taylor expansion of n in f 2.388 * [taylor]: Taking taylor expansion of 1 in f 2.388 * [taylor]: Taking taylor expansion of (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) in n 2.389 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.389 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.389 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.389 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.389 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.389 * [taylor]: Taking taylor expansion of 2 in n 2.389 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.389 * [taylor]: Taking taylor expansion of n in n 2.390 * [taylor]: Taking taylor expansion of (log f) in n 2.390 * [taylor]: Taking taylor expansion of f in n 2.391 * [taylor]: Taking taylor expansion of 1 in n 2.396 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) in n 2.396 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.396 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.396 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.396 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.396 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.396 * [taylor]: Taking taylor expansion of 2 in n 2.396 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.396 * [taylor]: Taking taylor expansion of n in n 2.397 * [taylor]: Taking taylor expansion of (log f) in n 2.397 * [taylor]: Taking taylor expansion of f in n 2.399 * [taylor]: Taking taylor expansion of n in n 2.412 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) in n 2.412 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.412 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.412 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.412 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.412 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.412 * [taylor]: Taking taylor expansion of 2 in n 2.412 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.412 * [taylor]: Taking taylor expansion of n in n 2.413 * [taylor]: Taking taylor expansion of (log f) in n 2.413 * [taylor]: Taking taylor expansion of f in n 2.414 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.414 * [taylor]: Taking taylor expansion of n in n 2.445 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) in n 2.445 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.445 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.445 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.445 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.445 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.445 * [taylor]: Taking taylor expansion of 2 in n 2.445 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.446 * [taylor]: Taking taylor expansion of n in n 2.447 * [taylor]: Taking taylor expansion of (log f) in n 2.447 * [taylor]: Taking taylor expansion of f in n 2.448 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.448 * [taylor]: Taking taylor expansion of n in n 2.478 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 2.478 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 2.478 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 2.478 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 2.478 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.478 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.478 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.478 * [taylor]: Taking taylor expansion of 1 in n 2.478 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.478 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.478 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.478 * [taylor]: Taking taylor expansion of f in n 2.478 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.478 * [taylor]: Taking taylor expansion of n in n 2.478 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.478 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.478 * [taylor]: Taking taylor expansion of n in n 2.479 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.479 * [taylor]: Taking taylor expansion of f in n 2.480 * [taylor]: Taking taylor expansion of 1 in n 2.480 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.481 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 2.481 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.481 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.481 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.481 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.481 * [taylor]: Taking taylor expansion of 1 in f 2.481 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.481 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.481 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.481 * [taylor]: Taking taylor expansion of f in f 2.481 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.481 * [taylor]: Taking taylor expansion of n in f 2.481 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.481 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.481 * [taylor]: Taking taylor expansion of n in f 2.481 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.481 * [taylor]: Taking taylor expansion of f in f 2.485 * [taylor]: Taking taylor expansion of 1 in f 2.485 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.485 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 2.485 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 2.485 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.485 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 2.485 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.485 * [taylor]: Taking taylor expansion of 1 in f 2.485 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.485 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.485 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.485 * [taylor]: Taking taylor expansion of f in f 2.485 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.485 * [taylor]: Taking taylor expansion of n in f 2.485 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.485 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.485 * [taylor]: Taking taylor expansion of n in f 2.485 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.485 * [taylor]: Taking taylor expansion of f in f 2.489 * [taylor]: Taking taylor expansion of 1 in f 2.489 * [taylor]: Taking taylor expansion of (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) in n 2.489 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.489 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.489 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.489 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.489 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.489 * [taylor]: Taking taylor expansion of 2 in n 2.489 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.489 * [taylor]: Taking taylor expansion of n in n 2.491 * [taylor]: Taking taylor expansion of (log f) in n 2.491 * [taylor]: Taking taylor expansion of f in n 2.492 * [taylor]: Taking taylor expansion of 1 in n 2.496 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) in n 2.496 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.496 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.496 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.496 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.496 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.496 * [taylor]: Taking taylor expansion of 2 in n 2.496 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.496 * [taylor]: Taking taylor expansion of n in n 2.498 * [taylor]: Taking taylor expansion of (log f) in n 2.498 * [taylor]: Taking taylor expansion of f in n 2.499 * [taylor]: Taking taylor expansion of n in n 2.512 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) in n 2.512 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.512 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.512 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.512 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.512 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.512 * [taylor]: Taking taylor expansion of 2 in n 2.512 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.512 * [taylor]: Taking taylor expansion of n in n 2.513 * [taylor]: Taking taylor expansion of (log f) in n 2.513 * [taylor]: Taking taylor expansion of f in n 2.514 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.514 * [taylor]: Taking taylor expansion of n in n 2.545 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) in n 2.545 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 2.545 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 2.545 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 2.545 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.545 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.545 * [taylor]: Taking taylor expansion of 2 in n 2.545 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.545 * [taylor]: Taking taylor expansion of n in n 2.546 * [taylor]: Taking taylor expansion of (log f) in n 2.546 * [taylor]: Taking taylor expansion of f in n 2.547 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.547 * [taylor]: Taking taylor expansion of n in n 2.577 * * * [progress]: simplifying candidates 2.579 * [simplify]: Simplifying using # : (+ 1 (/ (- (+ f n)) (- f n))) (expm1 (log1p (/ (- (+ f n)) (- f n)))) (log1p (log1p (/ (- (+ f n)) (- f n)))) (log (log1p (/ (- (+ f n)) (- f n)))) (exp (log1p (/ (- (+ f n)) (- f n)))) (* (cbrt (log1p (/ (- (+ f n)) (- f n)))) (cbrt (log1p (/ (- (+ f n)) (- f n))))) (cbrt (log1p (/ (- (+ f n)) (- f n)))) (* (* (log1p (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n)))) (log1p (/ (- (+ f n)) (- f n)))) (sqrt (log1p (/ (- (+ f n)) (- f n)))) (sqrt (log1p (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (exp (log1p (/ (- (+ f n)) (- f n)))) (expm1 (expm1 (log1p (/ (- (+ f n)) (- f n))))) (log1p (expm1 (log1p (/ (- (+ f n)) (- f n))))) (log (expm1 (log1p (/ (- (+ f n)) (- f n))))) (exp (expm1 (log1p (/ (- (+ f n)) (- f n))))) (* (cbrt (expm1 (log1p (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (log1p (/ (- (+ f n)) (- f n)))))) (cbrt (expm1 (log1p (/ (- (+ f n)) (- f n))))) (* (* (expm1 (log1p (/ (- (+ f n)) (- f n)))) (expm1 (log1p (/ (- (+ f n)) (- f n))))) (expm1 (log1p (/ (- (+ f n)) (- f n))))) (sqrt (expm1 (log1p (/ (- (+ f n)) (- f n))))) (sqrt (expm1 (log1p (/ (- (+ f n)) (- f n))))) (log 2) (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n))) (- (+ (log -2) (log (/ -1 f))) (log (/ -1 n))) 1 -1 -1 1 (- (exp (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n)))) 1) (- (exp (- (+ (log -2) (log (/ -1 f))) (log (/ -1 n)))) 1) 2.585 * * [simplify]: iteration 0 : 364 enodes (cost 946 ) 2.590 * * [simplify]: iteration 1 : 1083 enodes (cost 907 ) 2.605 * * [simplify]: iteration 2 : 3442 enodes (cost 885 ) 2.645 * * [simplify]: iteration 3 : 5001 enodes (cost 884 ) 2.649 * [simplify]: Simplified to: (- 1 (/ (+ f n) (- f n))) (/ (- (+ f n)) (- f n)) (log1p (log1p (/ (- (+ f n)) (- f n)))) (log (log1p (/ (- (+ f n)) (- f n)))) (exp (log1p (/ (- (+ f n)) (- f n)))) (* (cbrt (log1p (/ (- (+ f n)) (- f n)))) (cbrt (log1p (/ (- (+ f n)) (- f n))))) (cbrt (log1p (/ (- (+ f n)) (- f n)))) (pow (log1p (/ (- (+ f n)) (- f n))) 3) (sqrt (log1p (/ (- (+ f n)) (- f n)))) (sqrt (log1p (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ f n) (- n f) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (fma f f (- (* n n) (* f n))) (- f n)) (* (- f n) (- f n)) (exp (log1p (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (log 2) (+ (log n) (- (log -2) (log f))) (- (+ (log -2) (log (/ -1 f))) (log (/ -1 n))) 1 -1 -1 1 (fma (/ 1 f) (* -2 n) -1) (+ (/ (/ -1 f) (/ (/ -1 n) -2)) -1) 2.650 * * * [progress]: adding candidates to table 2.899 * [progress]: [Phase 3 of 3] Extracting. 2.900 * * [regime]: Finding splitpoints for: (# # #) 2.901 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 2.901 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 2.915 * * * * [regimes]: Trying to branch on n from (# # #) 2.929 * * * * [regimes]: Trying to branch on f from (# # #) 2.947 * * * [regime]: Found split indices: #