0.873 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.263 * * * [progress]: [2/2] Setting up program. 0.267 * [progress]: [Phase 2 of 3] Improving. 0.269 * [simplify]: Simplifying using # : (/ (- (+ f n)) (- f n)) 0.275 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.277 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.278 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.280 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.281 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.282 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.284 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.284 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.286 * * [progress]: iteration 1 / 4 0.286 * * * [progress]: picking best candidate 0.288 * * * * [pick]: Picked # 0.288 * * * [progress]: localizing error 0.295 * * * [progress]: generating rewritten candidates 0.296 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.312 * * * [progress]: generating series expansions 0.313 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.317 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.318 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.318 * [taylor]: Taking taylor expansion of -1 in n 0.318 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.318 * [taylor]: Taking taylor expansion of (+ n f) in n 0.318 * [taylor]: Taking taylor expansion of n in n 0.318 * [taylor]: Taking taylor expansion of f in n 0.318 * [taylor]: Taking taylor expansion of (- f n) in n 0.318 * [taylor]: Taking taylor expansion of f in n 0.318 * [taylor]: Taking taylor expansion of n in n 0.319 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.319 * [taylor]: Taking taylor expansion of -1 in f 0.319 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.319 * [taylor]: Taking taylor expansion of (+ n f) in f 0.319 * [taylor]: Taking taylor expansion of n in f 0.319 * [taylor]: Taking taylor expansion of f in f 0.319 * [taylor]: Taking taylor expansion of (- f n) in f 0.319 * [taylor]: Taking taylor expansion of f in f 0.319 * [taylor]: Taking taylor expansion of n in f 0.319 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.319 * [taylor]: Taking taylor expansion of -1 in f 0.320 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.320 * [taylor]: Taking taylor expansion of (+ n f) in f 0.320 * [taylor]: Taking taylor expansion of n in f 0.320 * [taylor]: Taking taylor expansion of f in f 0.320 * [taylor]: Taking taylor expansion of (- f n) in f 0.320 * [taylor]: Taking taylor expansion of f in f 0.320 * [taylor]: Taking taylor expansion of n in f 0.321 * [taylor]: Taking taylor expansion of 1 in n 0.322 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.322 * [taylor]: Taking taylor expansion of 2 in n 0.322 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.322 * [taylor]: Taking taylor expansion of n in n 0.326 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.326 * [taylor]: Taking taylor expansion of 2 in n 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.326 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.326 * [taylor]: Taking taylor expansion of n in n 0.332 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.332 * [taylor]: Taking taylor expansion of 2 in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.332 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.338 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.338 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.338 * [taylor]: Taking taylor expansion of -1 in n 0.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.338 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.338 * [taylor]: Taking taylor expansion of f in n 0.338 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.338 * [taylor]: Taking taylor expansion of n in n 0.339 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.339 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.339 * [taylor]: Taking taylor expansion of f in n 0.339 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.339 * [taylor]: Taking taylor expansion of n in n 0.340 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.340 * [taylor]: Taking taylor expansion of -1 in f 0.340 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.340 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.340 * [taylor]: Taking taylor expansion of f in f 0.340 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.340 * [taylor]: Taking taylor expansion of n in f 0.341 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.341 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.341 * [taylor]: Taking taylor expansion of f in f 0.341 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.341 * [taylor]: Taking taylor expansion of n in f 0.342 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.342 * [taylor]: Taking taylor expansion of -1 in f 0.342 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.342 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.342 * [taylor]: Taking taylor expansion of f in f 0.342 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.342 * [taylor]: Taking taylor expansion of n in f 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.342 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.342 * [taylor]: Taking taylor expansion of f in f 0.342 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.342 * [taylor]: Taking taylor expansion of n in f 0.344 * [taylor]: Taking taylor expansion of -1 in n 0.345 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.345 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.345 * [taylor]: Taking taylor expansion of 2 in n 0.345 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.345 * [taylor]: Taking taylor expansion of n in n 0.351 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.351 * [taylor]: Taking taylor expansion of 2 in n 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.352 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.352 * [taylor]: Taking taylor expansion of n in n 0.374 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.374 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.374 * [taylor]: Taking taylor expansion of 2 in n 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.374 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.374 * [taylor]: Taking taylor expansion of n in n 0.380 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.380 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.380 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.380 * [taylor]: Taking taylor expansion of f in n 0.380 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.380 * [taylor]: Taking taylor expansion of n in n 0.381 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.381 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.381 * [taylor]: Taking taylor expansion of n in n 0.381 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.381 * [taylor]: Taking taylor expansion of f in n 0.382 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.382 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.382 * [taylor]: Taking taylor expansion of f in f 0.382 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.382 * [taylor]: Taking taylor expansion of n in f 0.382 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.382 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.382 * [taylor]: Taking taylor expansion of n in f 0.382 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.382 * [taylor]: Taking taylor expansion of f in f 0.383 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.383 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.384 * [taylor]: Taking taylor expansion of f in f 0.384 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.384 * [taylor]: Taking taylor expansion of n in f 0.384 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.384 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.384 * [taylor]: Taking taylor expansion of n in f 0.384 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.384 * [taylor]: Taking taylor expansion of f in f 0.385 * [taylor]: Taking taylor expansion of -1 in n 0.386 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.386 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.386 * [taylor]: Taking taylor expansion of 2 in n 0.386 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.387 * [taylor]: Taking taylor expansion of n in n 0.390 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.390 * [taylor]: Taking taylor expansion of 2 in n 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.390 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.390 * [taylor]: Taking taylor expansion of n in n 0.397 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.398 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.398 * [taylor]: Taking taylor expansion of 2 in n 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.398 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.398 * [taylor]: Taking taylor expansion of n in n 0.403 * * * [progress]: simplifying candidates 0.405 * [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 0.411 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.416 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.430 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 0.468 * * [simplify]: iteration 3 : 5001 enodes (cost 743 ) 0.473 * [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 0.474 * * * [progress]: adding candidates to table 0.604 * * [progress]: iteration 2 / 4 0.604 * * * [progress]: picking best candidate 0.606 * * * * [pick]: Picked # 0.606 * * * [progress]: localizing error 0.611 * * * [progress]: generating rewritten candidates 0.612 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.620 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.642 * * * [progress]: generating series expansions 0.643 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.643 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 0.643 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 0.643 * [taylor]: Taking taylor expansion of (- f n) in n 0.643 * [taylor]: Taking taylor expansion of f in n 0.643 * [taylor]: Taking taylor expansion of n in n 0.643 * [taylor]: Taking taylor expansion of (+ n f) in n 0.643 * [taylor]: Taking taylor expansion of n in n 0.643 * [taylor]: Taking taylor expansion of f in n 0.643 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.643 * [taylor]: Taking taylor expansion of (- f n) in f 0.643 * [taylor]: Taking taylor expansion of f in f 0.643 * [taylor]: Taking taylor expansion of n in f 0.644 * [taylor]: Taking taylor expansion of (+ n f) in f 0.644 * [taylor]: Taking taylor expansion of n in f 0.644 * [taylor]: Taking taylor expansion of f in f 0.644 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.644 * [taylor]: Taking taylor expansion of (- f n) in f 0.644 * [taylor]: Taking taylor expansion of f in f 0.644 * [taylor]: Taking taylor expansion of n in f 0.644 * [taylor]: Taking taylor expansion of (+ n f) in f 0.644 * [taylor]: Taking taylor expansion of n in f 0.644 * [taylor]: Taking taylor expansion of f in f 0.644 * [taylor]: Taking taylor expansion of -1 in n 0.645 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.645 * [taylor]: Taking taylor expansion of 2 in n 0.645 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.645 * [taylor]: Taking taylor expansion of n in n 0.647 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.647 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.647 * [taylor]: Taking taylor expansion of 2 in n 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.647 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.647 * [taylor]: Taking taylor expansion of n in n 0.652 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.652 * [taylor]: Taking taylor expansion of 2 in n 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.652 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.652 * [taylor]: Taking taylor expansion of n in n 0.657 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 0.657 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 0.658 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.658 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.658 * [taylor]: Taking taylor expansion of f in n 0.658 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.658 * [taylor]: Taking taylor expansion of n in n 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.658 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.658 * [taylor]: Taking taylor expansion of f in n 0.658 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.658 * [taylor]: Taking taylor expansion of n in n 0.659 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.659 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.659 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.659 * [taylor]: Taking taylor expansion of f in f 0.660 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.660 * [taylor]: Taking taylor expansion of n in f 0.660 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.660 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.660 * [taylor]: Taking taylor expansion of f in f 0.660 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.660 * [taylor]: Taking taylor expansion of n in f 0.661 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.661 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.661 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.661 * [taylor]: Taking taylor expansion of f in f 0.661 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.661 * [taylor]: Taking taylor expansion of n in f 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.661 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.661 * [taylor]: Taking taylor expansion of f in f 0.662 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.662 * [taylor]: Taking taylor expansion of n in f 0.663 * [taylor]: Taking taylor expansion of 1 in n 0.664 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.664 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.664 * [taylor]: Taking taylor expansion of 2 in n 0.664 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.664 * [taylor]: Taking taylor expansion of n in n 0.667 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.667 * [taylor]: Taking taylor expansion of 2 in n 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.667 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.667 * [taylor]: Taking taylor expansion of n in n 0.675 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.675 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.675 * [taylor]: Taking taylor expansion of 2 in n 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.675 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.675 * [taylor]: Taking taylor expansion of n in n 0.681 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 0.681 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 0.681 * [taylor]: Taking taylor expansion of -1 in n 0.681 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 0.681 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.681 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.681 * [taylor]: Taking taylor expansion of n in n 0.681 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.681 * [taylor]: Taking taylor expansion of f in n 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.681 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.681 * [taylor]: Taking taylor expansion of f in n 0.681 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.681 * [taylor]: Taking taylor expansion of n in n 0.682 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.682 * [taylor]: Taking taylor expansion of -1 in f 0.682 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.682 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.682 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.682 * [taylor]: Taking taylor expansion of n in f 0.682 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.682 * [taylor]: Taking taylor expansion of f in f 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.683 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.683 * [taylor]: Taking taylor expansion of f in f 0.683 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.683 * [taylor]: Taking taylor expansion of n in f 0.684 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.684 * [taylor]: Taking taylor expansion of -1 in f 0.684 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.684 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.684 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.684 * [taylor]: Taking taylor expansion of n in f 0.684 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.684 * [taylor]: Taking taylor expansion of f in f 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.684 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.684 * [taylor]: Taking taylor expansion of f in f 0.685 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.685 * [taylor]: Taking taylor expansion of n in f 0.686 * [taylor]: Taking taylor expansion of 1 in n 0.688 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.688 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.688 * [taylor]: Taking taylor expansion of 2 in n 0.688 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.688 * [taylor]: Taking taylor expansion of n in n 0.692 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.692 * [taylor]: Taking taylor expansion of 2 in n 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.692 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.692 * [taylor]: Taking taylor expansion of n in n 0.700 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.700 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.700 * [taylor]: Taking taylor expansion of 2 in n 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.700 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.700 * [taylor]: Taking taylor expansion of n in n 0.706 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.706 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.706 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.706 * [taylor]: Taking taylor expansion of -1 in n 0.706 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.706 * [taylor]: Taking taylor expansion of (+ n f) in n 0.706 * [taylor]: Taking taylor expansion of n in n 0.706 * [taylor]: Taking taylor expansion of f in n 0.706 * [taylor]: Taking taylor expansion of (- f n) in n 0.706 * [taylor]: Taking taylor expansion of f in n 0.706 * [taylor]: Taking taylor expansion of n in n 0.707 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.707 * [taylor]: Taking taylor expansion of -1 in f 0.707 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.707 * [taylor]: Taking taylor expansion of (+ n f) in f 0.707 * [taylor]: Taking taylor expansion of n in f 0.707 * [taylor]: Taking taylor expansion of f in f 0.707 * [taylor]: Taking taylor expansion of (- f n) in f 0.707 * [taylor]: Taking taylor expansion of f in f 0.707 * [taylor]: Taking taylor expansion of n in f 0.707 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.707 * [taylor]: Taking taylor expansion of -1 in f 0.707 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.707 * [taylor]: Taking taylor expansion of (+ n f) in f 0.707 * [taylor]: Taking taylor expansion of n in f 0.707 * [taylor]: Taking taylor expansion of f in f 0.707 * [taylor]: Taking taylor expansion of (- f n) in f 0.707 * [taylor]: Taking taylor expansion of f in f 0.707 * [taylor]: Taking taylor expansion of n in f 0.707 * [taylor]: Taking taylor expansion of 1 in n 0.709 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.709 * [taylor]: Taking taylor expansion of 2 in n 0.709 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.709 * [taylor]: Taking taylor expansion of n in n 0.711 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.711 * [taylor]: Taking taylor expansion of 2 in n 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.711 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.711 * [taylor]: Taking taylor expansion of n in n 0.720 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.720 * [taylor]: Taking taylor expansion of 2 in n 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.720 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.720 * [taylor]: Taking taylor expansion of n in n 0.726 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.726 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.726 * [taylor]: Taking taylor expansion of -1 in n 0.726 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.726 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.726 * [taylor]: Taking taylor expansion of f in n 0.726 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.726 * [taylor]: Taking taylor expansion of n in n 0.726 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.726 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.726 * [taylor]: Taking taylor expansion of f in n 0.726 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.726 * [taylor]: Taking taylor expansion of n in n 0.727 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.727 * [taylor]: Taking taylor expansion of -1 in f 0.728 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.728 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.728 * [taylor]: Taking taylor expansion of f in f 0.728 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.728 * [taylor]: Taking taylor expansion of n in f 0.728 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.728 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.728 * [taylor]: Taking taylor expansion of f in f 0.728 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.728 * [taylor]: Taking taylor expansion of n in f 0.729 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.729 * [taylor]: Taking taylor expansion of -1 in f 0.729 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.729 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.729 * [taylor]: Taking taylor expansion of f in f 0.729 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.729 * [taylor]: Taking taylor expansion of n in f 0.729 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.729 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.729 * [taylor]: Taking taylor expansion of f in f 0.730 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.730 * [taylor]: Taking taylor expansion of n in f 0.731 * [taylor]: Taking taylor expansion of -1 in n 0.732 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.732 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.732 * [taylor]: Taking taylor expansion of 2 in n 0.732 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.732 * [taylor]: Taking taylor expansion of n in n 0.736 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.736 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.737 * [taylor]: Taking taylor expansion of 2 in n 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.737 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.737 * [taylor]: Taking taylor expansion of n in n 0.744 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.744 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.744 * [taylor]: Taking taylor expansion of 2 in n 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.744 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.744 * [taylor]: Taking taylor expansion of n in n 0.750 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.750 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.750 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.750 * [taylor]: Taking taylor expansion of f in n 0.750 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.750 * [taylor]: Taking taylor expansion of n in n 0.751 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.751 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.751 * [taylor]: Taking taylor expansion of n in n 0.751 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.751 * [taylor]: Taking taylor expansion of f in n 0.752 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.752 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.752 * [taylor]: Taking taylor expansion of f in f 0.752 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.752 * [taylor]: Taking taylor expansion of n in f 0.752 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.752 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.752 * [taylor]: Taking taylor expansion of n in f 0.752 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.752 * [taylor]: Taking taylor expansion of f in f 0.754 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.754 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.754 * [taylor]: Taking taylor expansion of f in f 0.754 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.754 * [taylor]: Taking taylor expansion of n in f 0.754 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.754 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.754 * [taylor]: Taking taylor expansion of n in f 0.754 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.754 * [taylor]: Taking taylor expansion of f in f 0.755 * [taylor]: Taking taylor expansion of -1 in n 0.757 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.757 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.757 * [taylor]: Taking taylor expansion of 2 in n 0.757 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.757 * [taylor]: Taking taylor expansion of n in n 0.760 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.760 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.760 * [taylor]: Taking taylor expansion of 2 in n 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.760 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.760 * [taylor]: Taking taylor expansion of n in n 0.767 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.768 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.768 * [taylor]: Taking taylor expansion of 2 in n 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.768 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.768 * [taylor]: Taking taylor expansion of n in n 0.774 * * * [progress]: simplifying candidates 0.776 * [simplify]: Simplifying using # : (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (expm1 (/ -1 (/ (- f n) (+ f n)))) (log1p (/ -1 (/ (- f n) (+ f n)))) (- (log -1) (- (log (- f n)) (log (+ f n)))) (- (log -1) (log (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (exp (/ -1 (/ (- f n) (+ f n)))) (/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* -1 -1) -1) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n)))) (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (- -1) (- (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (cbrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (cbrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (- f n)) (/ (cbrt -1) (/ 1 (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (cbrt -1) (+ (* f f) (- (* n n) (* f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n)))) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (sqrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (sqrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (sqrt -1) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) 1)) (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (sqrt -1) (/ (sqrt (- f n)) 1)) (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (sqrt -1) (/ 1 (sqrt (+ f n)))) (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (sqrt -1) (/ 1 (sqrt (+ f n)))) (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) 1) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (/ 1 (+ f n))) (/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (sqrt -1) (+ (* f f) (- (* n n) (* f n)))) (/ (sqrt -1) (/ (- f n) (- (* f f) (* n n)))) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ -1 (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ 1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ 1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ 1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ (- f n) (sqrt (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ (- f n) (sqrt (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 1) (/ -1 (/ (- f n) (+ f n))) (/ 1 (- f n)) (/ -1 (/ 1 (+ f n))) (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (+ (* f f) (- (* n n) (* f n)))) (/ 1 (/ (- f n) (- (* f f) (* n n)))) (/ -1 (- f n)) (/ 1 (/ (- f n) (+ f n))) (/ (/ (- f n) (+ f n)) -1) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 1) (/ -1 (- f n)) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (/ -1 (- f n)) -1 1 1 1 -1 -1 0.785 * * [simplify]: iteration 0 : 532 enodes (cost 1466 ) 0.796 * * [simplify]: iteration 1 : 2571 enodes (cost 1420 ) 0.838 * * [simplify]: iteration 2 : 5001 enodes (cost 1301 ) 0.846 * [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)) (* -1 (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (sqrt (- f n)) (/ (sqrt (- f n)) (+ f n)) (sqrt (- f n)) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) 1 (/ (- f n) (+ f n)) 1 (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (+ f n)) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) 1 (/ (- f n) (+ f n)) 1 (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (- f n) (- f n) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (fma f f (fma n n (* f n))) (+ f n)) (* (+ f n) (+ f n)) (expm1 (/ -1 (/ (- f n) (+ f n)))) (log1p (/ -1 (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (exp (/ -1 (/ (- f n) (+ f n)))) (pow (/ -1 (/ (- f n) (+ f n))) 3) (pow (/ -1 (/ (- f n) (+ f n))) 3) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n)))) (pow (/ -1 (/ (- f n) (+ f n))) 3) (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) 1 (- (/ (- f n) (+ f n))) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (sqrt (+ f n)) (/ -1 (/ (- f n) (sqrt (+ f n)))) 1 (/ -1 (/ (- f n) (+ f n))) 1 (/ -1 (/ (- f n) (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ -1 (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ -1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (sqrt (+ f n)) (/ -1 (/ (- f n) (sqrt (+ f n)))) 1 (/ -1 (/ (- f n) (+ f n))) 1 (/ -1 (/ (- f n) (+ f n))) 1 (/ -1 (/ (- f n) (+ f n))) (/ 1 (- f n)) (* -1 (+ f n)) (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (fma n (- n f) (* f f))) (/ 1 (/ (- f n) (- (* f f) (* n n)))) (/ -1 (- f n)) (/ (sqrt -1) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (sqrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (sqrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (sqrt -1) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) (* (sqrt -1) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (* (sqrt -1) (sqrt (+ f n))) (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (* (sqrt -1) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (* (sqrt -1) (sqrt (+ f n))) (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (- f n)) (* (sqrt -1) (+ f n)) (/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (sqrt -1) (fma n (- n f) (* f f))) (/ (sqrt -1) (/ (- f n) (- (* f f) (* n n)))) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (sqrt (+ f n)) (/ -1 (/ (- f n) (sqrt (+ f n)))) 1 (/ -1 (/ (- f n) (+ f n))) 1 (/ -1 (/ (- f n) (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ -1 (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ -1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (sqrt (+ f n)) (/ -1 (/ (- f n) (sqrt (+ f n)))) 1 (/ -1 (/ (- f n) (+ f n))) 1 (/ -1 (/ (- f n) (+ f n))) 1 (/ -1 (/ (- f n) (+ f n))) (/ 1 (- f n)) (* -1 (+ f n)) (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (fma n (- n f) (* f f))) (/ 1 (/ (- f n) (- (* f f) (* n n)))) (/ -1 (- f n)) (/ 1 (/ (- f n) (+ f n))) (/ (/ (- f n) (+ f n)) -1) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (* -1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (* -1 (sqrt (+ f n))) -1 -1 (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (* -1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (* -1 (sqrt (+ f n))) -1 -1 -1 (/ -1 (- f n)) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) -1) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (/ -1 (- f n)) -1 1 1 1 -1 -1 0.847 * * * [progress]: adding candidates to table 1.055 * * [progress]: iteration 3 / 4 1.055 * * * [progress]: picking best candidate 1.057 * * * * [pick]: Picked # 1.057 * * * [progress]: localizing error 1.067 * * * [progress]: generating rewritten candidates 1.067 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.068 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.076 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.076 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.082 * * * [progress]: generating series expansions 1.082 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.082 * [approximate]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in (f n) around 0 1.082 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in n 1.083 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.083 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in n 1.083 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.083 * [taylor]: Taking taylor expansion of (- f n) in n 1.083 * [taylor]: Taking taylor expansion of f in n 1.083 * [taylor]: Taking taylor expansion of n in n 1.083 * [taylor]: Taking taylor expansion of (+ n f) in n 1.083 * [taylor]: Taking taylor expansion of n in n 1.083 * [taylor]: Taking taylor expansion of f in n 1.084 * [taylor]: Taking taylor expansion of 1 in n 1.084 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 1.084 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.084 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 1.084 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.084 * [taylor]: Taking taylor expansion of (- f n) in f 1.084 * [taylor]: Taking taylor expansion of f in f 1.084 * [taylor]: Taking taylor expansion of n in f 1.084 * [taylor]: Taking taylor expansion of (+ n f) in f 1.084 * [taylor]: Taking taylor expansion of n in f 1.084 * [taylor]: Taking taylor expansion of f in f 1.084 * [taylor]: Taking taylor expansion of 1 in f 1.084 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 1.085 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.085 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 1.085 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.085 * [taylor]: Taking taylor expansion of (- f n) in f 1.085 * [taylor]: Taking taylor expansion of f in f 1.085 * [taylor]: Taking taylor expansion of n in f 1.085 * [taylor]: Taking taylor expansion of (+ n f) in f 1.085 * [taylor]: Taking taylor expansion of n in f 1.085 * [taylor]: Taking taylor expansion of f in f 1.085 * [taylor]: Taking taylor expansion of 1 in f 1.086 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 1.086 * [taylor]: Taking taylor expansion of (exp -1) in n 1.086 * [taylor]: Taking taylor expansion of -1 in n 1.086 * [taylor]: Taking taylor expansion of 1 in n 1.090 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 1.090 * [taylor]: Taking taylor expansion of 2 in n 1.090 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.090 * [taylor]: Taking taylor expansion of (exp -1) in n 1.090 * [taylor]: Taking taylor expansion of -1 in n 1.090 * [taylor]: Taking taylor expansion of n in n 1.095 * [taylor]: Taking taylor expansion of 0 in n 1.101 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ (exp -1) (pow n 3)))) in n 1.101 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 1.101 * [taylor]: Taking taylor expansion of 2/3 in n 1.101 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 1.101 * [taylor]: Taking taylor expansion of (exp -1) in n 1.101 * [taylor]: Taking taylor expansion of -1 in n 1.101 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.101 * [taylor]: Taking taylor expansion of n in n 1.111 * [approximate]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 1.111 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 1.111 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.111 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 1.111 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.111 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.111 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.111 * [taylor]: Taking taylor expansion of f in n 1.111 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.111 * [taylor]: Taking taylor expansion of n in n 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.111 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.111 * [taylor]: Taking taylor expansion of f in n 1.111 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.111 * [taylor]: Taking taylor expansion of n in n 1.113 * [taylor]: Taking taylor expansion of 1 in n 1.113 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.113 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.113 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.113 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.113 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.113 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.113 * [taylor]: Taking taylor expansion of f in f 1.113 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.113 * [taylor]: Taking taylor expansion of n in f 1.113 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.113 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.113 * [taylor]: Taking taylor expansion of f in f 1.114 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.114 * [taylor]: Taking taylor expansion of n in f 1.115 * [taylor]: Taking taylor expansion of 1 in f 1.115 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.115 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.115 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.115 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.115 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.115 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.115 * [taylor]: Taking taylor expansion of f in f 1.115 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.115 * [taylor]: Taking taylor expansion of n in f 1.115 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.115 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.115 * [taylor]: Taking taylor expansion of f in f 1.115 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.115 * [taylor]: Taking taylor expansion of n in f 1.116 * [taylor]: Taking taylor expansion of 1 in f 1.117 * [taylor]: Taking taylor expansion of (- E 1) in n 1.117 * [taylor]: Taking taylor expansion of E in n 1.117 * [taylor]: Taking taylor expansion of 1 in n 1.119 * [taylor]: Taking taylor expansion of (- (* 2 (/ E n))) in n 1.119 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 1.119 * [taylor]: Taking taylor expansion of 2 in n 1.119 * [taylor]: Taking taylor expansion of (/ E n) in n 1.119 * [taylor]: Taking taylor expansion of E in n 1.119 * [taylor]: Taking taylor expansion of n in n 1.124 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 1.124 * [taylor]: Taking taylor expansion of 4 in n 1.124 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 1.124 * [taylor]: Taking taylor expansion of E in n 1.124 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.124 * [taylor]: Taking taylor expansion of n in n 1.133 * [taylor]: Taking taylor expansion of (- (* 22/3 (/ E (pow n 3)))) in n 1.133 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 1.133 * [taylor]: Taking taylor expansion of 22/3 in n 1.133 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 1.133 * [taylor]: Taking taylor expansion of E in n 1.133 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.133 * [taylor]: Taking taylor expansion of n in n 1.144 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 1.144 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 1.144 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.144 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 1.144 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.144 * [taylor]: Taking taylor expansion of -1 in n 1.144 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.145 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.145 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.145 * [taylor]: Taking taylor expansion of n in n 1.145 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.145 * [taylor]: Taking taylor expansion of f in n 1.145 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.145 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.145 * [taylor]: Taking taylor expansion of f in n 1.145 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.145 * [taylor]: Taking taylor expansion of n in n 1.146 * [taylor]: Taking taylor expansion of 1 in n 1.146 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.147 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.147 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.147 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.147 * [taylor]: Taking taylor expansion of -1 in f 1.147 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.147 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.147 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.147 * [taylor]: Taking taylor expansion of n in f 1.147 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.147 * [taylor]: Taking taylor expansion of f in f 1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.147 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.147 * [taylor]: Taking taylor expansion of f in f 1.147 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.147 * [taylor]: Taking taylor expansion of n in f 1.149 * [taylor]: Taking taylor expansion of 1 in f 1.149 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.149 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.149 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.149 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.149 * [taylor]: Taking taylor expansion of -1 in f 1.149 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.149 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.149 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.149 * [taylor]: Taking taylor expansion of n in f 1.149 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.149 * [taylor]: Taking taylor expansion of f in f 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.149 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.149 * [taylor]: Taking taylor expansion of f in f 1.149 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.149 * [taylor]: Taking taylor expansion of n in f 1.151 * [taylor]: Taking taylor expansion of 1 in f 1.151 * [taylor]: Taking taylor expansion of (- E 1) in n 1.151 * [taylor]: Taking taylor expansion of E in n 1.151 * [taylor]: Taking taylor expansion of 1 in n 1.154 * [taylor]: Taking taylor expansion of (- (* 2 (/ E n))) in n 1.154 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 1.154 * [taylor]: Taking taylor expansion of 2 in n 1.154 * [taylor]: Taking taylor expansion of (/ E n) in n 1.154 * [taylor]: Taking taylor expansion of E in n 1.154 * [taylor]: Taking taylor expansion of n in n 1.159 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 1.160 * [taylor]: Taking taylor expansion of 4 in n 1.160 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 1.160 * [taylor]: Taking taylor expansion of E in n 1.160 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.160 * [taylor]: Taking taylor expansion of n in n 1.169 * [taylor]: Taking taylor expansion of (- (* 22/3 (/ E (pow n 3)))) in n 1.169 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 1.169 * [taylor]: Taking taylor expansion of 22/3 in n 1.169 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 1.169 * [taylor]: Taking taylor expansion of E in n 1.169 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.169 * [taylor]: Taking taylor expansion of n in n 1.175 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.175 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 1.175 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.175 * [taylor]: Taking taylor expansion of (- f n) in n 1.175 * [taylor]: Taking taylor expansion of f in n 1.175 * [taylor]: Taking taylor expansion of n in n 1.175 * [taylor]: Taking taylor expansion of (+ n f) in n 1.175 * [taylor]: Taking taylor expansion of n in n 1.175 * [taylor]: Taking taylor expansion of f in n 1.176 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.176 * [taylor]: Taking taylor expansion of (- f n) in f 1.176 * [taylor]: Taking taylor expansion of f in f 1.176 * [taylor]: Taking taylor expansion of n in f 1.176 * [taylor]: Taking taylor expansion of (+ n f) in f 1.176 * [taylor]: Taking taylor expansion of n in f 1.176 * [taylor]: Taking taylor expansion of f in f 1.176 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.176 * [taylor]: Taking taylor expansion of (- f n) in f 1.176 * [taylor]: Taking taylor expansion of f in f 1.176 * [taylor]: Taking taylor expansion of n in f 1.176 * [taylor]: Taking taylor expansion of (+ n f) in f 1.176 * [taylor]: Taking taylor expansion of n in f 1.176 * [taylor]: Taking taylor expansion of f in f 1.176 * [taylor]: Taking taylor expansion of -1 in n 1.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.177 * [taylor]: Taking taylor expansion of 2 in n 1.177 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.177 * [taylor]: Taking taylor expansion of n in n 1.179 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.179 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.179 * [taylor]: Taking taylor expansion of 2 in n 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.179 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.179 * [taylor]: Taking taylor expansion of n in n 1.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.184 * [taylor]: Taking taylor expansion of 2 in n 1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.184 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.184 * [taylor]: Taking taylor expansion of n in n 1.189 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 1.189 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.189 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.189 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.189 * [taylor]: Taking taylor expansion of f in n 1.189 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.189 * [taylor]: Taking taylor expansion of n in n 1.190 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.190 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.190 * [taylor]: Taking taylor expansion of f in n 1.190 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.190 * [taylor]: Taking taylor expansion of n in n 1.191 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.191 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.191 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.191 * [taylor]: Taking taylor expansion of f in f 1.191 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.191 * [taylor]: Taking taylor expansion of n in f 1.191 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.191 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.192 * [taylor]: Taking taylor expansion of f in f 1.192 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.192 * [taylor]: Taking taylor expansion of n in f 1.193 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.193 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.193 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.193 * [taylor]: Taking taylor expansion of f in f 1.193 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.193 * [taylor]: Taking taylor expansion of n in f 1.193 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.193 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.193 * [taylor]: Taking taylor expansion of f in f 1.193 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.193 * [taylor]: Taking taylor expansion of n in f 1.194 * [taylor]: Taking taylor expansion of 1 in n 1.195 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.195 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.195 * [taylor]: Taking taylor expansion of 2 in n 1.195 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.195 * [taylor]: Taking taylor expansion of n in n 1.199 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.199 * [taylor]: Taking taylor expansion of 2 in n 1.199 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.199 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.199 * [taylor]: Taking taylor expansion of n in n 1.206 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.206 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.206 * [taylor]: Taking taylor expansion of 2 in n 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.206 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.206 * [taylor]: Taking taylor expansion of n in n 1.212 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 1.212 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.212 * [taylor]: Taking taylor expansion of -1 in n 1.212 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.212 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.212 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.212 * [taylor]: Taking taylor expansion of n in n 1.213 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.213 * [taylor]: Taking taylor expansion of f in n 1.213 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.213 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.213 * [taylor]: Taking taylor expansion of f in n 1.213 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.213 * [taylor]: Taking taylor expansion of n in n 1.214 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.214 * [taylor]: Taking taylor expansion of -1 in f 1.214 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.214 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.214 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.214 * [taylor]: Taking taylor expansion of n in f 1.214 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.214 * [taylor]: Taking taylor expansion of f in f 1.214 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.214 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.214 * [taylor]: Taking taylor expansion of f in f 1.214 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.215 * [taylor]: Taking taylor expansion of n in f 1.216 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.216 * [taylor]: Taking taylor expansion of -1 in f 1.216 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.216 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.216 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.216 * [taylor]: Taking taylor expansion of n in f 1.216 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.216 * [taylor]: Taking taylor expansion of f in f 1.216 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.216 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.216 * [taylor]: Taking taylor expansion of f in f 1.216 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.216 * [taylor]: Taking taylor expansion of n in f 1.218 * [taylor]: Taking taylor expansion of 1 in n 1.219 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.219 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.219 * [taylor]: Taking taylor expansion of 2 in n 1.219 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.219 * [taylor]: Taking taylor expansion of n in n 1.228 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.228 * [taylor]: Taking taylor expansion of 2 in n 1.228 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.228 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.228 * [taylor]: Taking taylor expansion of n in n 1.235 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.235 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.235 * [taylor]: Taking taylor expansion of 2 in n 1.235 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.235 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.235 * [taylor]: Taking taylor expansion of n in n 1.241 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.241 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in (f n) around 0 1.241 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in n 1.241 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 1.241 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in n 1.241 * [taylor]: Taking taylor expansion of 1 in n 1.241 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in n 1.241 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.242 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in n 1.242 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.242 * [taylor]: Taking taylor expansion of (- f n) in n 1.242 * [taylor]: Taking taylor expansion of f in n 1.242 * [taylor]: Taking taylor expansion of n in n 1.242 * [taylor]: Taking taylor expansion of (+ n f) in n 1.242 * [taylor]: Taking taylor expansion of n in n 1.242 * [taylor]: Taking taylor expansion of f in n 1.242 * [taylor]: Taking taylor expansion of 1 in n 1.243 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in f 1.243 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 1.243 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in f 1.243 * [taylor]: Taking taylor expansion of 1 in f 1.243 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 1.243 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.243 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 1.243 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.243 * [taylor]: Taking taylor expansion of (- f n) in f 1.243 * [taylor]: Taking taylor expansion of f in f 1.243 * [taylor]: Taking taylor expansion of n in f 1.243 * [taylor]: Taking taylor expansion of (+ n f) in f 1.243 * [taylor]: Taking taylor expansion of n in f 1.244 * [taylor]: Taking taylor expansion of f in f 1.244 * [taylor]: Taking taylor expansion of 1 in f 1.246 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in f 1.246 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 1.246 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in f 1.246 * [taylor]: Taking taylor expansion of 1 in f 1.246 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 1.246 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.246 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 1.246 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.246 * [taylor]: Taking taylor expansion of (- f n) in f 1.246 * [taylor]: Taking taylor expansion of f in f 1.246 * [taylor]: Taking taylor expansion of n in f 1.246 * [taylor]: Taking taylor expansion of (+ n f) in f 1.246 * [taylor]: Taking taylor expansion of n in f 1.246 * [taylor]: Taking taylor expansion of f in f 1.247 * [taylor]: Taking taylor expansion of 1 in f 1.249 * [taylor]: Taking taylor expansion of -1 in n 1.253 * [taylor]: Taking taylor expansion of (/ 2 n) in n 1.253 * [taylor]: Taking taylor expansion of 2 in n 1.253 * [taylor]: Taking taylor expansion of n in n 1.258 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 1.258 * [taylor]: Taking taylor expansion of -2 in n 1.258 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.258 * [taylor]: Taking taylor expansion of n in n 1.267 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 1.267 * [taylor]: Taking taylor expansion of 2 in n 1.267 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.267 * [taylor]: Taking taylor expansion of n in n 1.273 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 1.273 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 1.273 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 1.273 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 1.273 * [taylor]: Taking taylor expansion of 1 in n 1.273 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 1.273 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.273 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 1.273 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.273 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.273 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.273 * [taylor]: Taking taylor expansion of f in n 1.273 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.273 * [taylor]: Taking taylor expansion of n in n 1.273 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.273 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.273 * [taylor]: Taking taylor expansion of f in n 1.273 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.273 * [taylor]: Taking taylor expansion of n in n 1.275 * [taylor]: Taking taylor expansion of 1 in n 1.277 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 1.277 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 1.277 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 1.277 * [taylor]: Taking taylor expansion of 1 in f 1.277 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.277 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.277 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.277 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.277 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.277 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.277 * [taylor]: Taking taylor expansion of f in f 1.278 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.278 * [taylor]: Taking taylor expansion of n in f 1.278 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.278 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.278 * [taylor]: Taking taylor expansion of f in f 1.278 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.278 * [taylor]: Taking taylor expansion of n in f 1.279 * [taylor]: Taking taylor expansion of 1 in f 1.280 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 1.280 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 1.280 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 1.280 * [taylor]: Taking taylor expansion of 1 in f 1.280 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.280 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.280 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.280 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.280 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.280 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.280 * [taylor]: Taking taylor expansion of f in f 1.280 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.280 * [taylor]: Taking taylor expansion of n in f 1.280 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.280 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.280 * [taylor]: Taking taylor expansion of f in f 1.281 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.281 * [taylor]: Taking taylor expansion of n in f 1.282 * [taylor]: Taking taylor expansion of 1 in f 1.283 * [taylor]: Taking taylor expansion of 1 in n 1.285 * [taylor]: Taking taylor expansion of (/ -2 n) in n 1.285 * [taylor]: Taking taylor expansion of -2 in n 1.285 * [taylor]: Taking taylor expansion of n in n 1.290 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 1.290 * [taylor]: Taking taylor expansion of 2 in n 1.290 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.290 * [taylor]: Taking taylor expansion of n in n 1.298 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 1.298 * [taylor]: Taking taylor expansion of -2 in n 1.299 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.299 * [taylor]: Taking taylor expansion of n in n 1.304 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in (f n) around 0 1.304 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 1.304 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 1.304 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 1.304 * [taylor]: Taking taylor expansion of 1 in n 1.304 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 1.304 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.304 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 1.304 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.304 * [taylor]: Taking taylor expansion of -1 in n 1.304 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.304 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.304 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.304 * [taylor]: Taking taylor expansion of n in n 1.305 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.305 * [taylor]: Taking taylor expansion of f in n 1.305 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.305 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.305 * [taylor]: Taking taylor expansion of f in n 1.305 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.305 * [taylor]: Taking taylor expansion of n in n 1.306 * [taylor]: Taking taylor expansion of 1 in n 1.308 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 1.309 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 1.309 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 1.309 * [taylor]: Taking taylor expansion of 1 in f 1.309 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.309 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.309 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.309 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.309 * [taylor]: Taking taylor expansion of -1 in f 1.309 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.309 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.309 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.309 * [taylor]: Taking taylor expansion of n in f 1.309 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.309 * [taylor]: Taking taylor expansion of f in f 1.309 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.309 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.309 * [taylor]: Taking taylor expansion of f in f 1.309 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.309 * [taylor]: Taking taylor expansion of n in f 1.311 * [taylor]: Taking taylor expansion of 1 in f 1.316 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 1.316 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 1.317 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 1.317 * [taylor]: Taking taylor expansion of 1 in f 1.317 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.317 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.317 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.317 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.317 * [taylor]: Taking taylor expansion of -1 in f 1.317 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.317 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.317 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.317 * [taylor]: Taking taylor expansion of n in f 1.317 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.317 * [taylor]: Taking taylor expansion of f in f 1.317 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.317 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.317 * [taylor]: Taking taylor expansion of f in f 1.317 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.317 * [taylor]: Taking taylor expansion of n in f 1.319 * [taylor]: Taking taylor expansion of 1 in f 1.320 * [taylor]: Taking taylor expansion of 1 in n 1.322 * [taylor]: Taking taylor expansion of (/ -2 n) in n 1.322 * [taylor]: Taking taylor expansion of -2 in n 1.322 * [taylor]: Taking taylor expansion of n in n 1.328 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 1.328 * [taylor]: Taking taylor expansion of 2 in n 1.328 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.328 * [taylor]: Taking taylor expansion of n in n 1.337 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 1.337 * [taylor]: Taking taylor expansion of -2 in n 1.337 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.337 * [taylor]: Taking taylor expansion of n in n 1.342 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.342 * [approximate]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- f n) (+ n f))))) in (f n) around 0 1.342 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- f n) (+ n f))))) in n 1.342 * [taylor]: Taking taylor expansion of -1 in n 1.342 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in n 1.342 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 1.342 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in n 1.342 * [taylor]: Taking taylor expansion of 1 in n 1.342 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in n 1.342 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.342 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in n 1.342 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.342 * [taylor]: Taking taylor expansion of (- f n) in n 1.342 * [taylor]: Taking taylor expansion of f in n 1.342 * [taylor]: Taking taylor expansion of n in n 1.342 * [taylor]: Taking taylor expansion of (+ n f) in n 1.342 * [taylor]: Taking taylor expansion of n in n 1.342 * [taylor]: Taking taylor expansion of f in n 1.343 * [taylor]: Taking taylor expansion of 1 in n 1.344 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- f n) (+ n f))))) in f 1.344 * [taylor]: Taking taylor expansion of -1 in f 1.344 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in f 1.344 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 1.344 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in f 1.344 * [taylor]: Taking taylor expansion of 1 in f 1.344 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 1.344 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.344 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 1.344 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.344 * [taylor]: Taking taylor expansion of (- f n) in f 1.344 * [taylor]: Taking taylor expansion of f in f 1.344 * [taylor]: Taking taylor expansion of n in f 1.344 * [taylor]: Taking taylor expansion of (+ n f) in f 1.344 * [taylor]: Taking taylor expansion of n in f 1.344 * [taylor]: Taking taylor expansion of f in f 1.345 * [taylor]: Taking taylor expansion of 1 in f 1.347 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- f n) (+ n f))))) in f 1.347 * [taylor]: Taking taylor expansion of -1 in f 1.347 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in f 1.347 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 1.347 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in f 1.347 * [taylor]: Taking taylor expansion of 1 in f 1.347 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 1.347 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 1.347 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 1.347 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.347 * [taylor]: Taking taylor expansion of (- f n) in f 1.347 * [taylor]: Taking taylor expansion of f in f 1.347 * [taylor]: Taking taylor expansion of n in f 1.347 * [taylor]: Taking taylor expansion of (+ n f) in f 1.347 * [taylor]: Taking taylor expansion of n in f 1.347 * [taylor]: Taking taylor expansion of f in f 1.348 * [taylor]: Taking taylor expansion of 1 in f 1.350 * [taylor]: Taking taylor expansion of 1 in n 1.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.354 * [taylor]: Taking taylor expansion of 2 in n 1.354 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.354 * [taylor]: Taking taylor expansion of n in n 1.359 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.359 * [taylor]: Taking taylor expansion of 2 in n 1.359 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.359 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.359 * [taylor]: Taking taylor expansion of n in n 1.369 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.369 * [taylor]: Taking taylor expansion of 2 in n 1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.369 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.370 * [taylor]: Taking taylor expansion of n in n 1.375 * [approximate]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in (f n) around 0 1.375 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in n 1.375 * [taylor]: Taking taylor expansion of -1 in n 1.375 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 1.375 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 1.375 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 1.375 * [taylor]: Taking taylor expansion of 1 in n 1.375 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 1.375 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.375 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 1.375 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.375 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.375 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.375 * [taylor]: Taking taylor expansion of f in n 1.375 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.375 * [taylor]: Taking taylor expansion of n in n 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.376 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.376 * [taylor]: Taking taylor expansion of f in n 1.376 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.376 * [taylor]: Taking taylor expansion of n in n 1.377 * [taylor]: Taking taylor expansion of 1 in n 1.380 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 1.380 * [taylor]: Taking taylor expansion of -1 in f 1.380 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 1.380 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 1.380 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 1.380 * [taylor]: Taking taylor expansion of 1 in f 1.380 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.380 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.380 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.380 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.380 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.380 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.380 * [taylor]: Taking taylor expansion of f in f 1.380 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.380 * [taylor]: Taking taylor expansion of n in f 1.380 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.380 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.380 * [taylor]: Taking taylor expansion of f in f 1.381 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.381 * [taylor]: Taking taylor expansion of n in f 1.381 * [taylor]: Taking taylor expansion of 1 in f 1.383 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 1.383 * [taylor]: Taking taylor expansion of -1 in f 1.383 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 1.383 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 1.383 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 1.383 * [taylor]: Taking taylor expansion of 1 in f 1.383 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.383 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 1.383 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.383 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.383 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.383 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.383 * [taylor]: Taking taylor expansion of f in f 1.383 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.383 * [taylor]: Taking taylor expansion of n in f 1.383 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.383 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.383 * [taylor]: Taking taylor expansion of f in f 1.384 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.384 * [taylor]: Taking taylor expansion of n in f 1.385 * [taylor]: Taking taylor expansion of 1 in f 1.386 * [taylor]: Taking taylor expansion of -1 in n 1.388 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.388 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.388 * [taylor]: Taking taylor expansion of 2 in n 1.388 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.388 * [taylor]: Taking taylor expansion of n in n 1.394 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.394 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.394 * [taylor]: Taking taylor expansion of 2 in n 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.395 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.395 * [taylor]: Taking taylor expansion of n in n 1.409 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.410 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.410 * [taylor]: Taking taylor expansion of 2 in n 1.410 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.410 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.410 * [taylor]: Taking taylor expansion of n in n 1.415 * [approximate]: Taking taylor expansion of (/ -1 (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) in (f n) around 0 1.415 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) in n 1.415 * [taylor]: Taking taylor expansion of -1 in n 1.415 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 1.416 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 1.416 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 1.416 * [taylor]: Taking taylor expansion of 1 in n 1.416 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 1.416 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.416 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 1.416 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.416 * [taylor]: Taking taylor expansion of -1 in n 1.416 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.416 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.416 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.416 * [taylor]: Taking taylor expansion of n in n 1.416 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.416 * [taylor]: Taking taylor expansion of f in n 1.416 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.416 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.416 * [taylor]: Taking taylor expansion of f in n 1.416 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.416 * [taylor]: Taking taylor expansion of n in n 1.418 * [taylor]: Taking taylor expansion of 1 in n 1.420 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) in f 1.420 * [taylor]: Taking taylor expansion of -1 in f 1.420 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 1.420 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 1.420 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 1.420 * [taylor]: Taking taylor expansion of 1 in f 1.420 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.420 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.420 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.420 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.420 * [taylor]: Taking taylor expansion of -1 in f 1.420 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.420 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.420 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.420 * [taylor]: Taking taylor expansion of n in f 1.420 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.421 * [taylor]: Taking taylor expansion of f in f 1.421 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.421 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.421 * [taylor]: Taking taylor expansion of f in f 1.421 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.421 * [taylor]: Taking taylor expansion of n in f 1.422 * [taylor]: Taking taylor expansion of 1 in f 1.424 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) in f 1.424 * [taylor]: Taking taylor expansion of -1 in f 1.424 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 1.424 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 1.424 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 1.424 * [taylor]: Taking taylor expansion of 1 in f 1.424 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.424 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 1.424 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 1.424 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.424 * [taylor]: Taking taylor expansion of -1 in f 1.424 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 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 1.424 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 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 n) in f 1.425 * [taylor]: Taking taylor expansion of n in f 1.426 * [taylor]: Taking taylor expansion of 1 in f 1.427 * [taylor]: Taking taylor expansion of -1 in n 1.430 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.430 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.430 * [taylor]: Taking taylor expansion of 2 in n 1.430 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.430 * [taylor]: Taking taylor expansion of n in n 1.437 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.437 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.437 * [taylor]: Taking taylor expansion of 2 in n 1.437 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.437 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.437 * [taylor]: Taking taylor expansion of n in n 1.448 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.448 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.448 * [taylor]: Taking taylor expansion of 2 in n 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.448 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.448 * [taylor]: Taking taylor expansion of n in n 1.454 * * * [progress]: simplifying candidates 1.455 * [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)))) (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (+ 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 (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (log1p (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (- (log -1) (log (log1p (expm1 (/ (- f n) (+ f n)))))) (log (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (exp (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (* (* -1 -1) -1) (* (* (log1p (expm1 (/ (- f n) (+ f n)))) (log1p (expm1 (/ (- f n) (+ f n))))) (log1p (expm1 (/ (- f n) (+ f n)))))) (* (cbrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (cbrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n))))))) (cbrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (* (* (/ -1 (log1p (expm1 (/ (- f n) (+ f n))))) (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (sqrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (sqrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (- -1) (- (log1p (expm1 (/ (- f n) (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (log1p (expm1 (/ (- f n) (+ f n))))) (cbrt (log1p (expm1 (/ (- f n) (+ f n))))))) (/ (cbrt -1) (cbrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (cbrt -1) (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (log1p (expm1 (/ (- f n) (+ f n))))) (/ (sqrt -1) (* (cbrt (log1p (expm1 (/ (- f n) (+ f n))))) (cbrt (log1p (expm1 (/ (- f n) (+ f n))))))) (/ (sqrt -1) (cbrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (sqrt -1) (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (sqrt -1) (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (sqrt -1) 1) (/ (sqrt -1) (log1p (expm1 (/ (- f n) (+ f n))))) (/ 1 (* (cbrt (log1p (expm1 (/ (- f n) (+ f n))))) (cbrt (log1p (expm1 (/ (- f n) (+ f n))))))) (/ -1 (cbrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ 1 (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ -1 (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ 1 1) (/ -1 (log1p (expm1 (/ (- f n) (+ f n))))) (/ 1 (log1p (expm1 (/ (- f n) (+ f n))))) (/ (log1p (expm1 (/ (- f n) (+ f n)))) -1) (/ -1 (* (cbrt (log1p (expm1 (/ (- f n) (+ f n))))) (cbrt (log1p (expm1 (/ (- f n) (+ f n))))))) (/ -1 (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ -1 1) (/ (log1p (expm1 (/ (- f n) (+ f n)))) (cbrt -1)) (/ (log1p (expm1 (/ (- f n) (+ f n)))) (sqrt -1)) (/ (log1p (expm1 (/ (- f n) (+ f n)))) -1) (- (exp -1) 1) (- E 1) (- E 1) -1 1 1 -1 1 1 1 -1 -1 1.460 * * [simplify]: iteration 0 : 294 enodes (cost 718 ) 1.466 * * [simplify]: iteration 1 : 967 enodes (cost 619 ) 1.484 * * [simplify]: iteration 2 : 4278 enodes (cost 594 ) 1.550 * * [simplify]: iteration 3 : 5001 enodes (cost 593 ) 1.554 * [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)))) (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))) (fma f -1 n) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (sqrt (- f n)) (/ (sqrt (- f n)) (+ f n)) (sqrt (- f n)) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) 1 (/ (- f n) (+ f n)) 1 (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (+ f n)) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) 1 (/ (- f n) (+ f n)) 1 (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (- f n) (- f n) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (fma f f (fma n n (* f n))) (+ f n)) (* (+ f n) (+ f n)) (+ 1 (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 (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (log1p (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (- (log -1) (log (/ (- f n) (+ f n)))) (- (log -1) (log (/ (- f n) (+ f n)))) (pow (exp (/ -1 (- f n))) (+ f n)) (/ -1 (pow (/ (- f n) (+ f n)) 3)) (* (cbrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (cbrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n))))))) (cbrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (/ -1 (pow (/ (- f n) (+ f n)) 3)) (sqrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (sqrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) 1 (/ (- f n) (* -1 (+ f n))) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) 1 (* (/ -1 (- f n)) (+ f n)) (/ (/ (sqrt -1) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (sqrt -1) (* (/ (sqrt -1) (- f n)) (+ f n)) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) 1 (* (/ -1 (- f n)) (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* -1 (+ f n))) (/ (/ -1 (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) -1 (/ (- f n) (* -1 (+ f n))) (/ (- f n) (* (sqrt -1) (+ f n))) (/ (- f n) (* -1 (+ f n))) (expm1 -1) (- E 1) (- E 1) -1 1 1 -1 1 1 1 -1 -1 1.555 * * * [progress]: adding candidates to table 1.733 * * [progress]: iteration 4 / 4 1.733 * * * [progress]: picking best candidate 1.735 * * * * [pick]: Picked # 1.735 * * * [progress]: localizing error 1.741 * * * [progress]: generating rewritten candidates 1.741 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.752 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.760 * * * [progress]: generating series expansions 1.760 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.760 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.760 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.760 * [taylor]: Taking taylor expansion of -1 in n 1.760 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.760 * [taylor]: Taking taylor expansion of (+ n f) in n 1.760 * [taylor]: Taking taylor expansion of n in n 1.760 * [taylor]: Taking taylor expansion of f in n 1.760 * [taylor]: Taking taylor expansion of (- f n) in n 1.760 * [taylor]: Taking taylor expansion of f in n 1.761 * [taylor]: Taking taylor expansion of n in n 1.761 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.761 * [taylor]: Taking taylor expansion of -1 in f 1.761 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.761 * [taylor]: Taking taylor expansion of (+ n f) in f 1.761 * [taylor]: Taking taylor expansion of n in f 1.761 * [taylor]: Taking taylor expansion of f in f 1.761 * [taylor]: Taking taylor expansion of (- f n) in f 1.761 * [taylor]: Taking taylor expansion of f in f 1.761 * [taylor]: Taking taylor expansion of n in f 1.761 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.761 * [taylor]: Taking taylor expansion of -1 in f 1.761 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.761 * [taylor]: Taking taylor expansion of (+ n f) in f 1.761 * [taylor]: Taking taylor expansion of n in f 1.761 * [taylor]: Taking taylor expansion of f in f 1.761 * [taylor]: Taking taylor expansion of (- f n) in f 1.761 * [taylor]: Taking taylor expansion of f in f 1.761 * [taylor]: Taking taylor expansion of n in f 1.762 * [taylor]: Taking taylor expansion of 1 in n 1.763 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.763 * [taylor]: Taking taylor expansion of 2 in n 1.763 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.763 * [taylor]: Taking taylor expansion of n in n 1.765 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.765 * [taylor]: Taking taylor expansion of 2 in n 1.765 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.765 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.765 * [taylor]: Taking taylor expansion of n in n 1.771 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.771 * [taylor]: Taking taylor expansion of 2 in n 1.771 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.771 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.771 * [taylor]: Taking taylor expansion of n in n 1.776 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.776 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.776 * [taylor]: Taking taylor expansion of -1 in n 1.776 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.776 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.776 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.776 * [taylor]: Taking taylor expansion of f in n 1.776 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.776 * [taylor]: Taking taylor expansion of n in n 1.777 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.777 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.777 * [taylor]: Taking taylor expansion of f in n 1.777 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.777 * [taylor]: Taking taylor expansion of n in n 1.778 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.778 * [taylor]: Taking taylor expansion of -1 in f 1.778 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.778 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.778 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.778 * [taylor]: Taking taylor expansion of f in f 1.778 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.778 * [taylor]: Taking taylor expansion of n in f 1.778 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.778 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.778 * [taylor]: Taking taylor expansion of f in f 1.779 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.779 * [taylor]: Taking taylor expansion of n in f 1.779 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.779 * [taylor]: Taking taylor expansion of -1 in f 1.779 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.779 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.779 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.779 * [taylor]: Taking taylor expansion of f in f 1.780 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.780 * [taylor]: Taking taylor expansion of n in f 1.780 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.780 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.780 * [taylor]: Taking taylor expansion of f in f 1.780 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.780 * [taylor]: Taking taylor expansion of n in f 1.785 * [taylor]: Taking taylor expansion of -1 in n 1.786 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.786 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.786 * [taylor]: Taking taylor expansion of 2 in n 1.786 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.786 * [taylor]: Taking taylor expansion of n in n 1.791 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.791 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.791 * [taylor]: Taking taylor expansion of 2 in n 1.791 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.791 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.791 * [taylor]: Taking taylor expansion of n in n 1.798 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.798 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.798 * [taylor]: Taking taylor expansion of 2 in n 1.798 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.798 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.798 * [taylor]: Taking taylor expansion of n in n 1.805 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.805 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.805 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.805 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.805 * [taylor]: Taking taylor expansion of f in n 1.805 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.805 * [taylor]: Taking taylor expansion of n in n 1.805 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.805 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.805 * [taylor]: Taking taylor expansion of n in n 1.805 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.805 * [taylor]: Taking taylor expansion of f in n 1.806 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.806 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.806 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.806 * [taylor]: Taking taylor expansion of f in f 1.806 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.806 * [taylor]: Taking taylor expansion of n in f 1.806 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.807 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.807 * [taylor]: Taking taylor expansion of n in f 1.807 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.807 * [taylor]: Taking taylor expansion of f in f 1.808 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.808 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.808 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.808 * [taylor]: Taking taylor expansion of f in f 1.808 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.808 * [taylor]: Taking taylor expansion of n in f 1.808 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.808 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.808 * [taylor]: Taking taylor expansion of n in f 1.808 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.808 * [taylor]: Taking taylor expansion of f in f 1.810 * [taylor]: Taking taylor expansion of -1 in n 1.811 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.811 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.811 * [taylor]: Taking taylor expansion of 2 in n 1.811 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.811 * [taylor]: Taking taylor expansion of n in n 1.815 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.815 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.815 * [taylor]: Taking taylor expansion of 2 in n 1.815 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.815 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.815 * [taylor]: Taking taylor expansion of n in n 1.822 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.822 * [taylor]: Taking taylor expansion of 2 in n 1.822 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.822 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.822 * [taylor]: Taking taylor expansion of n in n 1.827 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.827 * [approximate]: Taking taylor expansion of (/ -1 (- f n)) in (f n) around 0 1.827 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in n 1.827 * [taylor]: Taking taylor expansion of -1 in n 1.828 * [taylor]: Taking taylor expansion of (- f n) in n 1.828 * [taylor]: Taking taylor expansion of f in n 1.828 * [taylor]: Taking taylor expansion of n in n 1.828 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 1.828 * [taylor]: Taking taylor expansion of -1 in f 1.828 * [taylor]: Taking taylor expansion of (- f n) in f 1.828 * [taylor]: Taking taylor expansion of f in f 1.828 * [taylor]: Taking taylor expansion of n in f 1.828 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 1.828 * [taylor]: Taking taylor expansion of -1 in f 1.828 * [taylor]: Taking taylor expansion of (- f n) in f 1.828 * [taylor]: Taking taylor expansion of f in f 1.828 * [taylor]: Taking taylor expansion of n in f 1.828 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.828 * [taylor]: Taking taylor expansion of n in n 1.829 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.829 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.830 * [taylor]: Taking taylor expansion of n in n 1.833 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.833 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.833 * [taylor]: Taking taylor expansion of n in n 1.839 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 1.839 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in n 1.839 * [taylor]: Taking taylor expansion of -1 in n 1.839 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.839 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.839 * [taylor]: Taking taylor expansion of f in n 1.839 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.839 * [taylor]: Taking taylor expansion of n in n 1.840 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 1.840 * [taylor]: Taking taylor expansion of -1 in f 1.840 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.840 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.840 * [taylor]: Taking taylor expansion of f in f 1.841 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.841 * [taylor]: Taking taylor expansion of n in f 1.841 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 1.841 * [taylor]: Taking taylor expansion of -1 in f 1.841 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.841 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.841 * [taylor]: Taking taylor expansion of f in f 1.842 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.842 * [taylor]: Taking taylor expansion of n in f 1.842 * [taylor]: Taking taylor expansion of -1 in n 1.843 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 1.843 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.843 * [taylor]: Taking taylor expansion of n in n 1.847 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 1.847 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.847 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.847 * [taylor]: Taking taylor expansion of n in n 1.851 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.851 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in n 1.851 * [taylor]: Taking taylor expansion of -1 in n 1.851 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.851 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.851 * [taylor]: Taking taylor expansion of n in n 1.851 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.851 * [taylor]: Taking taylor expansion of f in n 1.852 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 1.852 * [taylor]: Taking taylor expansion of -1 in f 1.852 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.852 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.852 * [taylor]: Taking taylor expansion of n in f 1.852 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.852 * [taylor]: Taking taylor expansion of f in f 1.853 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 1.853 * [taylor]: Taking taylor expansion of -1 in f 1.853 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.853 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.853 * [taylor]: Taking taylor expansion of n in f 1.853 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.853 * [taylor]: Taking taylor expansion of f in f 1.854 * [taylor]: Taking taylor expansion of 1 in n 1.855 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.855 * [taylor]: Taking taylor expansion of n in n 1.858 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.858 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.858 * [taylor]: Taking taylor expansion of n in n 1.862 * * * [progress]: simplifying candidates 1.863 * [simplify]: Simplifying using # : (expm1 (* (/ -1 (- f n)) (+ f n))) (log1p (* (/ -1 (- f n)) (+ f n))) (* (/ -1 (- f n)) (+ f n)) (+ (- (log -1) (log (- f n))) (log (+ f n))) (+ (log (/ -1 (- f n))) (log (+ f n))) (log (* (/ -1 (- f n)) (+ f n))) (exp (* (/ -1 (- f n)) (+ f n))) (* (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (* (+ f n) (+ f n)) (+ f n))) (* (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (* (/ -1 (- f n)) (+ f n))) (cbrt (* (/ -1 (- f n)) (+ f n)))) (cbrt (* (/ -1 (- f n)) (+ f n))) (* (* (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- f n)) (+ f n))) (* (/ -1 (- f n)) (+ f n))) (sqrt (* (/ -1 (- f n)) (+ f n))) (sqrt (* (/ -1 (- f n)) (+ f n))) (* -1 (+ (pow f 3) (pow n 3))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* -1 (- (* f f) (* n n))) (* (- f n) (- f n)) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ -1 (- f n)) f) (* (/ -1 (- f n)) n) (* f (/ -1 (- f n))) (* n (/ -1 (- f n))) (* (/ -1 (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ -1 (- f n)) (sqrt (+ f n))) (* (/ -1 (- f n)) 1) (* (/ -1 (- f n)) 1) (* (cbrt (/ -1 (- f n))) (+ f n)) (* (sqrt (/ -1 (- f n))) (+ f n)) (* (/ (cbrt -1) (cbrt (- f n))) (+ f n)) (* (/ (cbrt -1) (sqrt (- f n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (cbrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (cbrt (- f n))) (+ f n)) (* (/ (sqrt -1) (sqrt (- f n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ -1 (cbrt (- f n))) (+ f n)) (* (/ -1 (sqrt (- f n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- (sqrt f) (sqrt n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ 1 (- f n)) (+ f n)) (* (+ (* f f) (+ (* n n) (* f n))) (+ f n)) (* (+ f n) (+ f n)) (* (/ -1 (- f n)) (+ (pow f 3) (pow n 3))) (* (/ -1 (- f n)) (- (* f f) (* n n))) (* -1 (+ f n)) (expm1 (/ -1 (- f n))) (log1p (/ -1 (- f n))) (- (log -1) (log (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (- -1) (- (- f n)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (- (sqrt f) (sqrt n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) (/ -1 1) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 1) (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (pow f 3) (pow n 3))) (/ -1 (- (* f f) (* n n))) 1 -1 -1 0 0 0 1.873 * * [simplify]: iteration 0 : 426 enodes (cost 485 ) 1.880 * * [simplify]: iteration 1 : 1702 enodes (cost 451 ) 1.912 * * [simplify]: iteration 2 : 5001 enodes (cost 421 ) 1.915 * [simplify]: Simplified to: (expm1 (* (/ -1 (- f n)) (+ f n))) (log1p (* (/ -1 (- f n)) (+ f n))) (* (/ -1 (- f n)) (+ f n)) (log (* (/ -1 (- f n)) (+ f n))) (log (* (/ -1 (- f n)) (+ f n))) (log (* (/ -1 (- f n)) (+ f n))) (exp (* (/ -1 (- f n)) (+ f n))) (pow (* (/ -1 (- f n)) (+ f n)) 3) (pow (* (/ -1 (- f n)) (+ f n)) 3) (* (cbrt (* (/ -1 (- f n)) (+ f n))) (cbrt (* (/ -1 (- f n)) (+ f n)))) (cbrt (* (/ -1 (- f n)) (+ f n))) (pow (* (/ -1 (- f n)) (+ f n)) 3) (sqrt (* (/ -1 (- f n)) (+ f n))) (sqrt (* (/ -1 (- f n)) (+ f n))) (* -1 (+ (pow f 3) (pow n 3))) (* (fma f f (- (* n n) (* f n))) (- f n)) (* -1 (- (* f f) (* n n))) (* (- f n) (- f n)) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ -1 (- f n)) f) (* (/ -1 (- f n)) n) (* (/ -1 (- f n)) f) (* (/ -1 (- f n)) n) (* (/ -1 (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ -1 (- f n)) (sqrt (+ f n))) (/ -1 (- f n)) (/ -1 (- f n)) (* (cbrt (/ -1 (- f n))) (+ f n)) (* (sqrt (/ -1 (- f n))) (+ f n)) (* (/ -1 (cbrt (- f n))) (+ f n)) (* (/ -1 (sqrt (- f n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- (sqrt f) (sqrt n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ (sqrt -1) (cbrt (- f n))) (+ f n)) (* (/ (sqrt -1) (sqrt (- f n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ -1 (cbrt (- f n))) (+ f n)) (* (/ -1 (sqrt (- f n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- (sqrt f) (sqrt n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (/ (+ f n) (- f n)) (* (+ f n) (fma f f (fma n n (* f n)))) (* (+ f n) (+ f n)) (* (/ -1 (- f n)) (+ (pow f 3) (pow n 3))) (* (/ -1 (- f n)) (- (* f f) (* n n))) (* -1 (+ f n)) (expm1 (/ -1 (- f n))) (log1p (/ -1 (- f n))) (log (/ -1 (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (pow (/ -1 (- f n)) 3) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (pow (/ -1 (- f n)) 3) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) 1 (- n f) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) 1 (/ -1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (- (sqrt f) (sqrt n))) 1 (/ -1 (- f n)) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) 1 (/ -1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (- (sqrt f) (sqrt n))) 1 (/ -1 (- f n)) (/ 1 (- f n)) (- n f) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (- n f) (/ (- f n) (sqrt -1)) (- n f) (/ -1 (- (pow f 3) (pow n 3))) (/ -1 (- (* f f) (* n n))) 1 -1 -1 0 0 0 1.916 * * * [progress]: adding candidates to table 2.040 * [progress]: [Phase 3 of 3] Extracting. 2.040 * * [regime]: Finding splitpoints for: (# # #) 2.041 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 2.041 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 2.058 * * * * [regimes]: Trying to branch on n from (# # #) 2.071 * * * * [regimes]: Trying to branch on f from (# # #) 2.084 * * * [regime]: Found split indices: #