0.851 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.264 * * * [progress]: [2/2] Setting up program. 0.268 * [progress]: [Phase 2 of 3] Improving. 0.270 * [simplify]: Simplifying using # : (/ (neg (+ f n)) (- f n)) 0.276 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.278 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.279 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.281 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.282 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.283 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.285 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.285 * [simplify]: Simplified to: (/ (neg (+ f n)) (- f n)) 0.287 * * [progress]: iteration 1 / 4 0.287 * * * [progress]: picking best candidate 0.289 * * * * [pick]: Picked # 0.289 * * * [progress]: localizing error 0.297 * * * [progress]: generating rewritten candidates 0.298 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.315 * * * [progress]: generating series expansions 0.315 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.320 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.321 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.321 * [taylor]: Taking taylor expansion of -1 in n 0.321 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.321 * [taylor]: Taking taylor expansion of (+ n f) in n 0.321 * [taylor]: Taking taylor expansion of n in n 0.321 * [taylor]: Taking taylor expansion of f in n 0.321 * [taylor]: Taking taylor expansion of (- f n) in n 0.321 * [taylor]: Taking taylor expansion of f in n 0.321 * [taylor]: Taking taylor expansion of n in n 0.322 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.322 * [taylor]: Taking taylor expansion of -1 in f 0.322 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.322 * [taylor]: Taking taylor expansion of (+ n f) in f 0.322 * [taylor]: Taking taylor expansion of n in f 0.322 * [taylor]: Taking taylor expansion of f in f 0.322 * [taylor]: Taking taylor expansion of (- f n) in f 0.322 * [taylor]: Taking taylor expansion of f in f 0.322 * [taylor]: Taking taylor expansion of n in f 0.322 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.322 * [taylor]: Taking taylor expansion of -1 in f 0.322 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.322 * [taylor]: Taking taylor expansion of (+ n f) in f 0.322 * [taylor]: Taking taylor expansion of n in f 0.322 * [taylor]: Taking taylor expansion of f in f 0.322 * [taylor]: Taking taylor expansion of (- f n) in f 0.322 * [taylor]: Taking taylor expansion of f in f 0.322 * [taylor]: Taking taylor expansion of n in f 0.323 * [taylor]: Taking taylor expansion of 1 in n 0.325 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.325 * [taylor]: Taking taylor expansion of 2 in n 0.325 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.329 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.329 * [taylor]: Taking taylor expansion of 2 in n 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.329 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.329 * [taylor]: Taking taylor expansion of n in n 0.335 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.335 * [taylor]: Taking taylor expansion of 2 in n 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.335 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.335 * [taylor]: Taking taylor expansion of n in n 0.341 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.341 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.341 * [taylor]: Taking taylor expansion of -1 in n 0.341 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.341 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.341 * [taylor]: Taking taylor expansion of f in n 0.341 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.342 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.342 * [taylor]: Taking taylor expansion of f in n 0.342 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.342 * [taylor]: Taking taylor expansion of n in n 0.343 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.343 * [taylor]: Taking taylor expansion of -1 in f 0.343 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.343 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.343 * [taylor]: Taking taylor expansion of f in f 0.343 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.343 * [taylor]: Taking taylor expansion of n in f 0.343 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.343 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.344 * [taylor]: Taking taylor expansion of f in f 0.344 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.344 * [taylor]: Taking taylor expansion of n in f 0.345 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.345 * [taylor]: Taking taylor expansion of -1 in f 0.345 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.345 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.345 * [taylor]: Taking taylor expansion of f in f 0.345 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.345 * [taylor]: Taking taylor expansion of n in f 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.345 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.345 * [taylor]: Taking taylor expansion of f in f 0.345 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.345 * [taylor]: Taking taylor expansion of n in f 0.346 * [taylor]: Taking taylor expansion of -1 in n 0.348 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 0.348 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.348 * [taylor]: Taking taylor expansion of 2 in n 0.348 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.348 * [taylor]: Taking taylor expansion of n in n 0.353 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 0.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.353 * [taylor]: Taking taylor expansion of 2 in n 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.353 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.353 * [taylor]: Taking taylor expansion of n in n 0.374 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 0.375 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.375 * [taylor]: Taking taylor expansion of 2 in n 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.375 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.375 * [taylor]: Taking taylor expansion of n in n 0.381 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.381 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.381 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.381 * [taylor]: Taking taylor expansion of f in n 0.381 * [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 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 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of f in f 0.383 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.383 * [taylor]: Taking taylor expansion of n in f 0.383 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.383 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.383 * [taylor]: Taking taylor expansion of n in f 0.383 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.383 * [taylor]: Taking taylor expansion of f in f 0.384 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 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 n) in f 0.385 * [taylor]: Taking taylor expansion of n in f 0.385 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.385 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.385 * [taylor]: Taking taylor expansion of n in f 0.385 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.385 * [taylor]: Taking taylor expansion of f in f 0.386 * [taylor]: Taking taylor expansion of -1 in n 0.387 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 0.387 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.387 * [taylor]: Taking taylor expansion of 2 in n 0.387 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.387 * [taylor]: Taking taylor expansion of n in n 0.391 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 0.391 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.391 * [taylor]: Taking taylor expansion of 2 in n 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.391 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.391 * [taylor]: Taking taylor expansion of n in n 0.399 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 0.399 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.399 * [taylor]: Taking taylor expansion of 2 in n 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.399 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.399 * [taylor]: Taking taylor expansion of n in n 0.405 * * * [progress]: simplifying candidates 0.407 * [simplify]: Simplifying using # : (- (log (neg (+ f n))) (log (- f n))) (log (/ (neg (+ f n)) (- f n))) (exp (/ (neg (+ f n)) (- f n))) (/ (* (* (neg (+ f n)) (neg (+ f n))) (neg (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (neg (+ f n)) (- f n))) (cbrt (/ (neg (+ f n)) (- f n)))) (cbrt (/ (neg (+ f n)) (- f n))) (* (* (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n))) (/ (neg (+ f n)) (- f n))) (sqrt (/ (neg (+ f n)) (- f n))) (sqrt (/ (neg (+ f n)) (- f n))) (neg (neg (+ f n))) (neg (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (neg (+ f n))) (cbrt (- f n))) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (sqrt (- f n))) (/ (cbrt (neg (+ f n))) (sqrt (- f n))) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) 1) (/ (cbrt (neg (+ f n))) (- f n)) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (neg (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) 1) (/ (cbrt (neg (+ f n))) (- f n)) (/ (sqrt (neg (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (neg (+ f n))) (cbrt (- f n))) (/ (sqrt (neg (+ f n))) (sqrt (- f n))) (/ (sqrt (neg (+ f n))) (sqrt (- f n))) (/ (sqrt (neg (+ f n))) 1) (/ (sqrt (neg (+ f n))) (- f n)) (/ (sqrt (neg (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (neg (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (neg (+ f n))) 1) (/ (sqrt (neg (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (neg (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (neg (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (neg (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (neg (+ 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)) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (neg (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (neg (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (neg (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (neg (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (neg (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (neg 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (neg 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (neg 1) 1) (/ (+ f n) (- f n)) (/ (neg 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (neg 1) 1) (/ (+ f n) (- f n)) (/ (neg 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (neg 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (neg 1) 1) (/ (+ f n) (- f n)) (/ (neg 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (neg 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (neg (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (neg (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (neg (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (neg (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (neg (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (neg (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (neg (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (neg (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (neg (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (neg (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (neg (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (neg (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (neg (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (neg (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (neg (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (neg (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (neg (+ f n))) (/ (+ f n) (- f n)) (/ (neg (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (sqrt (- f n))) (/ (neg (+ f n)) 1) (/ (neg (+ f n)) (+ (sqrt f) (sqrt n))) (/ (neg (+ f n)) 1) (/ (- f n) (cbrt (neg (+ f n)))) (/ (- f n) (sqrt (neg (+ f n)))) (/ (- f n) (neg (+ 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) (neg (cbrt (+ f n)))) (/ (- f n) (neg (sqrt (+ f n)))) (/ (- f n) (neg (+ f n))) (/ (- f n) (neg (+ f n))) (/ (neg (+ f n)) (- (pow f 3) (pow n 3))) (/ (neg (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.412 * * [simplify]: iteration 0 : 288 enodes (cost 754 ) 0.416 * * [simplify]: iteration 1 : 906 enodes (cost 738 ) 0.429 * * [simplify]: iteration 2 : 2893 enodes (cost 733 ) 0.467 * * [simplify]: iteration 3 : 5001 enodes (cost 733 ) 0.472 * [simplify]: Simplified to: (log (/ (neg (+ f n)) (- f n))) (log (/ (neg (+ f n)) (- f n))) (exp (/ (neg (+ f n)) (- f n))) (pow (/ (neg (+ f n)) (- f n)) 3) (* (cbrt (/ (neg (+ f n)) (- f n))) (cbrt (/ (neg (+ f n)) (- f n)))) (cbrt (/ (neg (+ f n)) (- f n))) (pow (/ (neg (+ f n)) (- f n)) 3) (sqrt (/ (neg (+ f n)) (- f n))) (sqrt (/ (neg (+ f n)) (- f n))) (+ f n) (- n f) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (neg (+ f n))) (cbrt (- f n))) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (sqrt (- f n))) (/ (cbrt (neg (+ f n))) (sqrt (- f n))) (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (/ (cbrt (neg (+ f n))) (- f n)) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (neg (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (/ (cbrt (neg (+ f n))) (- f n)) (/ (sqrt (neg (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (neg (+ f n))) (cbrt (- f n))) (/ (sqrt (neg (+ f n))) (sqrt (- f n))) (/ (sqrt (neg (+ f n))) (sqrt (- f n))) (sqrt (neg (+ f n))) (/ (sqrt (neg (+ f n))) (- f n)) (/ (sqrt (neg (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (neg (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (neg (+ f n))) (/ (sqrt (neg (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (neg (+ f n)) (sqrt (- f n))) 1 (/ (neg (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (neg (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (neg (+ 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)) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (neg (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (neg (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (neg (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (neg (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (neg (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)))) (/ (neg (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (neg (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (neg (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (neg (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (neg (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (neg (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (neg (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (neg (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (neg (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (neg (+ f n)) (sqrt (- f n))) 1 (/ (neg (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (neg (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (neg (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (neg (+ f n)) (sqrt (- f n))) 1 (/ (neg (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (neg (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (neg (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (neg (+ f n))) (/ (+ f n) (- f n)) (/ (neg (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (sqrt (- f n))) (neg (+ f n)) (/ (neg (+ f n)) (+ (sqrt f) (sqrt n))) (neg (+ f n)) (/ (- f n) (cbrt (neg (+ f n)))) (/ (- f n) (sqrt (neg (+ f n)))) (/ (- f n) (neg (+ 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) (neg (cbrt (+ f n)))) (/ (- f n) (neg (sqrt (+ f n)))) (/ (- f n) (neg (+ f n))) (/ (- f n) (neg (+ f n))) (/ (neg (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (+ (* n (- n f)) (* f f)) (- f n)) (* (- f n) (- f n)) 1 -1 -1 0.473 * * * [progress]: adding candidates to table 0.600 * * [progress]: iteration 2 / 4 0.600 * * * [progress]: picking best candidate 0.604 * * * * [pick]: Picked # 0.604 * * * [progress]: localizing error 0.610 * * * [progress]: generating rewritten candidates 0.610 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.617 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.640 * * * [progress]: generating series expansions 0.640 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.640 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 0.641 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 0.641 * [taylor]: Taking taylor expansion of (- f n) in n 0.641 * [taylor]: Taking taylor expansion of f in n 0.641 * [taylor]: Taking taylor expansion of n in n 0.641 * [taylor]: Taking taylor expansion of (+ n f) in n 0.641 * [taylor]: Taking taylor expansion of n in n 0.641 * [taylor]: Taking taylor expansion of f in n 0.641 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.641 * [taylor]: Taking taylor expansion of (- f n) in f 0.641 * [taylor]: Taking taylor expansion of f in f 0.641 * [taylor]: Taking taylor expansion of n in f 0.641 * [taylor]: Taking taylor expansion of (+ n f) in f 0.641 * [taylor]: Taking taylor expansion of n in f 0.641 * [taylor]: Taking taylor expansion of f in f 0.641 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.641 * [taylor]: Taking taylor expansion of (- f n) in f 0.641 * [taylor]: Taking taylor expansion of f in f 0.641 * [taylor]: Taking taylor expansion of n in f 0.641 * [taylor]: Taking taylor expansion of (+ n f) in f 0.641 * [taylor]: Taking taylor expansion of n in f 0.641 * [taylor]: Taking taylor expansion of f in f 0.642 * [taylor]: Taking taylor expansion of -1 in n 0.642 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.642 * [taylor]: Taking taylor expansion of 2 in n 0.642 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.642 * [taylor]: Taking taylor expansion of n in n 0.644 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 0.644 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.644 * [taylor]: Taking taylor expansion of 2 in n 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.644 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.644 * [taylor]: Taking taylor expansion of n in n 0.649 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.649 * [taylor]: Taking taylor expansion of 2 in n 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.649 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.649 * [taylor]: Taking taylor expansion of n in n 0.655 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 0.655 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 0.655 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.655 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.655 * [taylor]: Taking taylor expansion of f in n 0.655 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.655 * [taylor]: Taking taylor expansion of n in n 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.655 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.655 * [taylor]: Taking taylor expansion of f in n 0.655 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.655 * [taylor]: Taking taylor expansion of n in n 0.657 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.657 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.657 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.657 * [taylor]: Taking taylor expansion of f in f 0.657 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.657 * [taylor]: Taking taylor expansion of n in f 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.657 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.657 * [taylor]: Taking taylor expansion of f in f 0.657 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.657 * [taylor]: Taking taylor expansion of n in f 0.658 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.658 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.658 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.658 * [taylor]: Taking taylor expansion of f in f 0.658 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.658 * [taylor]: Taking taylor expansion of n in f 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.658 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.658 * [taylor]: Taking taylor expansion of f in f 0.659 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.659 * [taylor]: Taking taylor expansion of n in f 0.660 * [taylor]: Taking taylor expansion of 1 in n 0.661 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 0.661 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.661 * [taylor]: Taking taylor expansion of 2 in n 0.661 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.661 * [taylor]: Taking taylor expansion of n in n 0.664 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.664 * [taylor]: Taking taylor expansion of 2 in n 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.664 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.665 * [taylor]: Taking taylor expansion of n in n 0.672 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 0.672 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.672 * [taylor]: Taking taylor expansion of 2 in n 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.672 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.672 * [taylor]: Taking taylor expansion of n in n 0.677 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 0.677 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 0.678 * [taylor]: Taking taylor expansion of -1 in n 0.678 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 0.678 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.678 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.678 * [taylor]: Taking taylor expansion of n in n 0.678 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.678 * [taylor]: Taking taylor expansion of f in n 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.678 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.678 * [taylor]: Taking taylor expansion of f in n 0.678 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.678 * [taylor]: Taking taylor expansion of n in n 0.679 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.679 * [taylor]: Taking taylor expansion of -1 in f 0.679 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.679 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.679 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.679 * [taylor]: Taking taylor expansion of n in f 0.679 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.679 * [taylor]: Taking taylor expansion of f in f 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.679 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.679 * [taylor]: Taking taylor expansion of f in f 0.680 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.680 * [taylor]: Taking taylor expansion of n in f 0.681 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.681 * [taylor]: Taking taylor expansion of -1 in f 0.681 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.681 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.681 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.681 * [taylor]: Taking taylor expansion of n in f 0.681 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.681 * [taylor]: Taking taylor expansion of f in f 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.681 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.681 * [taylor]: Taking taylor expansion of f in f 0.681 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.681 * [taylor]: Taking taylor expansion of n in f 0.683 * [taylor]: Taking taylor expansion of 1 in n 0.684 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 0.684 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.684 * [taylor]: Taking taylor expansion of 2 in n 0.684 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.684 * [taylor]: Taking taylor expansion of n in n 0.689 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.689 * [taylor]: Taking taylor expansion of 2 in n 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.689 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.689 * [taylor]: Taking taylor expansion of n in n 0.696 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 0.696 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.696 * [taylor]: Taking taylor expansion of 2 in n 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.696 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.696 * [taylor]: Taking taylor expansion of n in n 0.702 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.702 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.702 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.702 * [taylor]: Taking taylor expansion of -1 in n 0.702 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.702 * [taylor]: Taking taylor expansion of (+ n f) in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.702 * [taylor]: Taking taylor expansion of f in n 0.702 * [taylor]: Taking taylor expansion of (- f n) in n 0.702 * [taylor]: Taking taylor expansion of f in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.703 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.703 * [taylor]: Taking taylor expansion of -1 in f 0.703 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.703 * [taylor]: Taking taylor expansion of (+ n f) in f 0.703 * [taylor]: Taking taylor expansion of n in f 0.703 * [taylor]: Taking taylor expansion of f in f 0.703 * [taylor]: Taking taylor expansion of (- f n) in f 0.703 * [taylor]: Taking taylor expansion of f in f 0.703 * [taylor]: Taking taylor expansion of n in f 0.703 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.703 * [taylor]: Taking taylor expansion of -1 in f 0.703 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.703 * [taylor]: Taking taylor expansion of (+ n f) in f 0.703 * [taylor]: Taking taylor expansion of n in f 0.703 * [taylor]: Taking taylor expansion of f in f 0.703 * [taylor]: Taking taylor expansion of (- f n) in f 0.703 * [taylor]: Taking taylor expansion of f in f 0.703 * [taylor]: Taking taylor expansion of n in f 0.703 * [taylor]: Taking taylor expansion of 1 in n 0.705 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.705 * [taylor]: Taking taylor expansion of 2 in n 0.705 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.705 * [taylor]: Taking taylor expansion of n in n 0.707 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.707 * [taylor]: Taking taylor expansion of 2 in n 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.707 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.707 * [taylor]: Taking taylor expansion of n in n 0.716 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.716 * [taylor]: Taking taylor expansion of 2 in n 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.716 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.716 * [taylor]: Taking taylor expansion of n in n 0.722 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.722 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.722 * [taylor]: Taking taylor expansion of -1 in n 0.722 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.722 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.722 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.722 * [taylor]: Taking taylor expansion of f in n 0.722 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.722 * [taylor]: Taking taylor expansion of n in n 0.722 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.722 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.722 * [taylor]: Taking taylor expansion of f in n 0.722 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.722 * [taylor]: Taking taylor expansion of n in n 0.724 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.724 * [taylor]: Taking taylor expansion of -1 in f 0.724 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.724 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.724 * [taylor]: Taking taylor expansion of f in f 0.724 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.724 * [taylor]: Taking taylor expansion of n in f 0.724 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.724 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.724 * [taylor]: Taking taylor expansion of f in f 0.724 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.724 * [taylor]: Taking taylor expansion of n in f 0.725 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.725 * [taylor]: Taking taylor expansion of -1 in f 0.725 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.725 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.725 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.725 * [taylor]: Taking taylor expansion of f in f 0.725 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.725 * [taylor]: Taking taylor expansion of n in f 0.726 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.726 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.726 * [taylor]: Taking taylor expansion of f in f 0.726 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.726 * [taylor]: Taking taylor expansion of n in f 0.727 * [taylor]: Taking taylor expansion of -1 in n 0.728 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 0.728 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.728 * [taylor]: Taking taylor expansion of 2 in n 0.728 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.728 * [taylor]: Taking taylor expansion of n in n 0.732 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 0.733 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.733 * [taylor]: Taking taylor expansion of 2 in n 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.733 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.733 * [taylor]: Taking taylor expansion of n in n 0.740 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 0.740 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.740 * [taylor]: Taking taylor expansion of 2 in n 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.740 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.741 * [taylor]: Taking taylor expansion of n in n 0.746 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.746 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.746 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.747 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.747 * [taylor]: Taking taylor expansion of f in n 0.747 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.747 * [taylor]: Taking taylor expansion of n in n 0.747 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.747 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.747 * [taylor]: Taking taylor expansion of n in n 0.747 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.747 * [taylor]: Taking taylor expansion of f in n 0.748 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.748 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.748 * [taylor]: Taking taylor expansion of f in f 0.748 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.748 * [taylor]: Taking taylor expansion of n in f 0.748 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.748 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.748 * [taylor]: Taking taylor expansion of n in f 0.748 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.748 * [taylor]: Taking taylor expansion of f in f 0.750 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.750 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.750 * [taylor]: Taking taylor expansion of f in f 0.750 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.750 * [taylor]: Taking taylor expansion of n in f 0.750 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.750 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.750 * [taylor]: Taking taylor expansion of n in f 0.750 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.750 * [taylor]: Taking taylor expansion of f in f 0.751 * [taylor]: Taking taylor expansion of -1 in n 0.753 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 0.753 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.753 * [taylor]: Taking taylor expansion of 2 in n 0.753 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.753 * [taylor]: Taking taylor expansion of n in n 0.756 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 0.756 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.756 * [taylor]: Taking taylor expansion of 2 in n 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.756 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.756 * [taylor]: Taking taylor expansion of n in n 0.763 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 0.763 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.763 * [taylor]: Taking taylor expansion of 2 in n 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.763 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.763 * [taylor]: Taking taylor expansion of n in n 0.769 * * * [progress]: simplifying candidates 0.772 * [simplify]: Simplifying using # : (- (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))) (neg (- f n)) (neg (+ 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))) 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-1 -1 0.780 * * [simplify]: iteration 0 : 523 enodes (cost 1449 ) 0.791 * * [simplify]: iteration 1 : 2545 enodes (cost 1405 ) 0.834 * * [simplify]: iteration 2 : 5001 enodes (cost 1287 ) 0.842 * [simplify]: Simplified to: (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))) (neg (- 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 (- 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-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 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(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 (+ (* 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 0.843 * * * [progress]: adding candidates to table 1.035 * * [progress]: iteration 3 / 4 1.035 * * * [progress]: picking best candidate 1.037 * * * * [pick]: Picked # 1.037 * * * [progress]: localizing error 1.043 * * * [progress]: generating rewritten candidates 1.043 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.058 * * * [progress]: generating series expansions 1.058 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.058 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.058 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.058 * [taylor]: Taking taylor expansion of -1 in n 1.058 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.058 * [taylor]: Taking taylor expansion of (+ n f) in n 1.058 * [taylor]: Taking taylor expansion of n in n 1.058 * [taylor]: Taking taylor expansion of f in n 1.058 * [taylor]: Taking taylor expansion of (- f n) in n 1.058 * [taylor]: Taking taylor expansion of f in n 1.058 * [taylor]: Taking taylor expansion of n in n 1.059 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.059 * [taylor]: Taking taylor expansion of -1 in f 1.059 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.059 * [taylor]: Taking taylor expansion of (+ n f) in f 1.059 * [taylor]: Taking taylor expansion of n in f 1.059 * [taylor]: Taking taylor expansion of f in f 1.059 * [taylor]: Taking taylor expansion of (- f n) in f 1.059 * [taylor]: Taking taylor expansion of f in f 1.059 * [taylor]: Taking taylor expansion of n in f 1.059 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.059 * [taylor]: Taking taylor expansion of -1 in f 1.059 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.059 * [taylor]: Taking taylor expansion of (+ n f) in f 1.059 * [taylor]: Taking taylor expansion of n in f 1.059 * [taylor]: Taking taylor expansion of f in f 1.059 * [taylor]: Taking taylor expansion of (- f n) in f 1.059 * [taylor]: Taking taylor expansion of f in f 1.059 * [taylor]: Taking taylor expansion of n in f 1.060 * [taylor]: Taking taylor expansion of 1 in n 1.061 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.061 * [taylor]: Taking taylor expansion of 2 in n 1.061 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.061 * [taylor]: Taking taylor expansion of n in n 1.063 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.063 * [taylor]: Taking taylor expansion of 2 in n 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.063 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.063 * [taylor]: Taking taylor expansion of n in n 1.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.068 * [taylor]: Taking taylor expansion of 2 in n 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.068 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.068 * [taylor]: Taking taylor expansion of n in n 1.074 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.074 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.074 * [taylor]: Taking taylor expansion of -1 in n 1.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.074 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.074 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.074 * [taylor]: Taking taylor expansion of f in n 1.074 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.074 * [taylor]: Taking taylor expansion of n in n 1.074 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.074 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.074 * [taylor]: Taking taylor expansion of f in n 1.074 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.074 * [taylor]: Taking taylor expansion of n in n 1.076 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.076 * [taylor]: Taking taylor expansion of -1 in f 1.076 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.076 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.076 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.076 * [taylor]: Taking taylor expansion of f in f 1.076 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.076 * [taylor]: Taking taylor expansion of n in f 1.076 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.076 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.076 * [taylor]: Taking taylor expansion of f in f 1.076 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.076 * [taylor]: Taking taylor expansion of n in f 1.077 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.077 * [taylor]: Taking taylor expansion of -1 in f 1.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.077 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.077 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.077 * [taylor]: Taking taylor expansion of f in f 1.077 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.077 * [taylor]: Taking taylor expansion of n in f 1.077 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.077 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.077 * [taylor]: Taking taylor expansion of f in f 1.078 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.078 * [taylor]: Taking taylor expansion of n in f 1.079 * [taylor]: Taking taylor expansion of -1 in n 1.080 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 1.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.080 * [taylor]: Taking taylor expansion of 2 in n 1.080 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.080 * [taylor]: Taking taylor expansion of n in n 1.084 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 1.084 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.084 * [taylor]: Taking taylor expansion of 2 in n 1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.084 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.085 * [taylor]: Taking taylor expansion of n in n 1.092 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 1.092 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.092 * [taylor]: Taking taylor expansion of 2 in n 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.092 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.092 * [taylor]: Taking taylor expansion of n in n 1.098 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.098 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.098 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.098 * [taylor]: Taking taylor expansion of f in n 1.098 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.098 * [taylor]: Taking taylor expansion of n in n 1.098 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.098 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.098 * [taylor]: Taking taylor expansion of n in n 1.099 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.099 * [taylor]: Taking taylor expansion of f in n 1.099 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.099 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.099 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.099 * [taylor]: Taking taylor expansion of f in f 1.100 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.100 * [taylor]: Taking taylor expansion of n in f 1.100 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.100 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.100 * [taylor]: Taking taylor expansion of n in f 1.100 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.100 * [taylor]: Taking taylor expansion of f in f 1.101 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.101 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.101 * [taylor]: Taking taylor expansion of f in f 1.101 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.101 * [taylor]: Taking taylor expansion of n in f 1.101 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.101 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.101 * [taylor]: Taking taylor expansion of n in f 1.101 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.101 * [taylor]: Taking taylor expansion of f in f 1.103 * [taylor]: Taking taylor expansion of -1 in n 1.104 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 1.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.104 * [taylor]: Taking taylor expansion of 2 in n 1.104 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.104 * [taylor]: Taking taylor expansion of n in n 1.108 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 1.108 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.108 * [taylor]: Taking taylor expansion of 2 in n 1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.108 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.108 * [taylor]: Taking taylor expansion of n in n 1.115 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 1.115 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.115 * [taylor]: Taking taylor expansion of 2 in n 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.115 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.115 * [taylor]: Taking taylor expansion of n in n 1.120 * * * [progress]: simplifying candidates 1.121 * [simplify]: Simplifying using # : (* (/ -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)) 1 -1 -1 1.127 * * [simplify]: iteration 0 : 365 enodes (cost 285 ) 1.134 * * [simplify]: iteration 1 : 1367 enodes (cost 259 ) 1.159 * * [simplify]: iteration 2 : 5001 enodes (cost 254 ) 1.161 * [simplify]: Simplified to: (* (/ -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))) (* (+ (* n (- n f)) (* f f)) (- 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) (+ (* n (+ n f)) (* f f))) (* (+ f n) (+ f n)) (* (/ -1 (- f n)) (+ (pow f 3) (pow n 3))) (* (/ -1 (- f n)) (- (* f f) (* n n))) (* -1 (+ f n)) 1 -1 -1 1.161 * * * [progress]: adding candidates to table 1.231 * * [progress]: iteration 4 / 4 1.231 * * * [progress]: picking best candidate 1.233 * * * * [pick]: Picked # 1.233 * * * [progress]: localizing error 1.241 * * * [progress]: generating rewritten candidates 1.241 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.331 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.341 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.350 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.410 * * * [progress]: generating series expansions 1.410 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.411 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in (f n) around 0 1.411 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in n 1.411 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in n 1.411 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.411 * [taylor]: Taking taylor expansion of -1 in n 1.411 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.411 * [taylor]: Taking taylor expansion of (+ n f) in n 1.411 * [taylor]: Taking taylor expansion of n in n 1.411 * [taylor]: Taking taylor expansion of f in n 1.411 * [taylor]: Taking taylor expansion of (- f n) in n 1.411 * [taylor]: Taking taylor expansion of f in n 1.411 * [taylor]: Taking taylor expansion of n in n 1.414 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in f 1.414 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 1.414 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.414 * [taylor]: Taking taylor expansion of -1 in f 1.414 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.414 * [taylor]: Taking taylor expansion of (+ n f) in f 1.414 * [taylor]: Taking taylor expansion of n in f 1.414 * [taylor]: Taking taylor expansion of f in f 1.414 * [taylor]: Taking taylor expansion of (- f n) in f 1.414 * [taylor]: Taking taylor expansion of f in f 1.414 * [taylor]: Taking taylor expansion of n in f 1.423 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in f 1.423 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 1.423 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.423 * [taylor]: Taking taylor expansion of -1 in f 1.423 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.423 * [taylor]: Taking taylor expansion of (+ n f) in f 1.423 * [taylor]: Taking taylor expansion of n in f 1.424 * [taylor]: Taking taylor expansion of f in f 1.424 * [taylor]: Taking taylor expansion of (- f n) in f 1.424 * [taylor]: Taking taylor expansion of f in f 1.424 * [taylor]: Taking taylor expansion of n in f 1.426 * [taylor]: Taking taylor expansion of 1 in n 1.426 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.426 * [taylor]: Taking taylor expansion of 2 in n 1.426 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.426 * [taylor]: Taking taylor expansion of n in n 1.430 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.430 * [taylor]: Taking taylor expansion of 2 in n 1.430 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.430 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.430 * [taylor]: Taking taylor expansion of n in n 1.436 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.436 * [taylor]: Taking taylor expansion of 2 in n 1.436 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.436 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.436 * [taylor]: Taking taylor expansion of n in n 1.441 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in (f n) around 0 1.441 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in n 1.441 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.441 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.441 * [taylor]: Taking taylor expansion of -1 in n 1.441 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.441 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.441 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.441 * [taylor]: Taking taylor expansion of f in n 1.442 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.442 * [taylor]: Taking taylor expansion of n in n 1.442 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.442 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.442 * [taylor]: Taking taylor expansion of f in n 1.442 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.442 * [taylor]: Taking taylor expansion of n in n 1.445 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in f 1.445 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.445 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.445 * [taylor]: Taking taylor expansion of -1 in f 1.445 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.445 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.445 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.445 * [taylor]: Taking taylor expansion of f in f 1.446 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.446 * [taylor]: Taking taylor expansion of n in f 1.446 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.446 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.446 * [taylor]: Taking taylor expansion of f in f 1.446 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.446 * [taylor]: Taking taylor expansion of n in f 1.449 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in f 1.449 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.449 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.449 * [taylor]: Taking taylor expansion of -1 in f 1.449 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.449 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.449 * [taylor]: Taking taylor expansion of f in f 1.450 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.450 * [taylor]: Taking taylor expansion of n in f 1.450 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.450 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.450 * [taylor]: Taking taylor expansion of f in f 1.450 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.450 * [taylor]: Taking taylor expansion of n in f 1.454 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.454 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.454 * [taylor]: Taking taylor expansion of -1 in n 1.457 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 1.457 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.457 * [taylor]: Taking taylor expansion of 2 in n 1.457 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.457 * [taylor]: Taking taylor expansion of n in n 1.467 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 1.467 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.467 * [taylor]: Taking taylor expansion of 2 in n 1.467 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.467 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.467 * [taylor]: Taking taylor expansion of n in n 1.485 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3))))) in n 1.485 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) in n 1.485 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 3)) in n 1.485 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.485 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.485 * [taylor]: Taking taylor expansion of -1 in n 1.486 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.486 * [taylor]: Taking taylor expansion of n in n 1.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3)))) in n 1.489 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) in n 1.489 * [taylor]: Taking taylor expansion of (* (pow n 3) (pow (sqrt -1) 2)) in n 1.489 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.489 * [taylor]: Taking taylor expansion of n in n 1.489 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.489 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.489 * [taylor]: Taking taylor expansion of -1 in n 1.493 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.493 * [taylor]: Taking taylor expansion of 2 in n 1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.493 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.493 * [taylor]: Taking taylor expansion of n in n 1.524 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.524 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.524 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.524 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.524 * [taylor]: Taking taylor expansion of f in n 1.524 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.525 * [taylor]: Taking taylor expansion of n in n 1.525 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.525 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.525 * [taylor]: Taking taylor expansion of n in n 1.525 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.525 * [taylor]: Taking taylor expansion of f in n 1.526 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.526 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.526 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.526 * [taylor]: Taking taylor expansion of f in f 1.526 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.526 * [taylor]: Taking taylor expansion of n in f 1.526 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.526 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.526 * [taylor]: Taking taylor expansion of n in f 1.526 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.526 * [taylor]: Taking taylor expansion of f in f 1.528 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.528 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.528 * [taylor]: Taking taylor expansion of f in f 1.528 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.528 * [taylor]: Taking taylor expansion of n in f 1.528 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.528 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.528 * [taylor]: Taking taylor expansion of n in f 1.528 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.528 * [taylor]: Taking taylor expansion of f in f 1.529 * [taylor]: Taking taylor expansion of -1 in n 1.531 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 1.531 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.531 * [taylor]: Taking taylor expansion of 2 in n 1.531 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.531 * [taylor]: Taking taylor expansion of n in n 1.534 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 1.534 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.534 * [taylor]: Taking taylor expansion of 2 in n 1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.534 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.534 * [taylor]: Taking taylor expansion of n in n 1.541 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 1.541 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.541 * [taylor]: Taking taylor expansion of 2 in n 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.541 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.541 * [taylor]: Taking taylor expansion of n in n 1.547 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.547 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.547 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.547 * [taylor]: Taking taylor expansion of -1 in n 1.547 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.547 * [taylor]: Taking taylor expansion of (+ n f) in n 1.547 * [taylor]: Taking taylor expansion of n in n 1.547 * [taylor]: Taking taylor expansion of f in n 1.547 * [taylor]: Taking taylor expansion of (- f n) in n 1.547 * [taylor]: Taking taylor expansion of f in n 1.547 * [taylor]: Taking taylor expansion of n in n 1.548 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.548 * [taylor]: Taking taylor expansion of -1 in f 1.548 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.548 * [taylor]: Taking taylor expansion of (+ n f) in f 1.548 * [taylor]: Taking taylor expansion of n in f 1.548 * [taylor]: Taking taylor expansion of f in f 1.548 * [taylor]: Taking taylor expansion of (- f n) in f 1.548 * [taylor]: Taking taylor expansion of f in f 1.548 * [taylor]: Taking taylor expansion of n in f 1.548 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.548 * [taylor]: Taking taylor expansion of -1 in f 1.548 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.548 * [taylor]: Taking taylor expansion of (+ n f) in f 1.548 * [taylor]: Taking taylor expansion of n in f 1.548 * [taylor]: Taking taylor expansion of f in f 1.548 * [taylor]: Taking taylor expansion of (- f n) in f 1.548 * [taylor]: Taking taylor expansion of f in f 1.548 * [taylor]: Taking taylor expansion of n in f 1.548 * [taylor]: Taking taylor expansion of 1 in n 1.549 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.549 * [taylor]: Taking taylor expansion of 2 in n 1.549 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.550 * [taylor]: Taking taylor expansion of n in n 1.552 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.552 * [taylor]: Taking taylor expansion of 2 in n 1.552 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.552 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.552 * [taylor]: Taking taylor expansion of n in n 1.557 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.557 * [taylor]: Taking taylor expansion of 2 in n 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.557 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.557 * [taylor]: Taking taylor expansion of n in n 1.563 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.563 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.563 * [taylor]: Taking taylor expansion of -1 in n 1.563 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.563 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.563 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.563 * [taylor]: Taking taylor expansion of f in n 1.563 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.563 * [taylor]: Taking taylor expansion of n in n 1.563 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.563 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.563 * [taylor]: Taking taylor expansion of f in n 1.563 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.563 * [taylor]: Taking taylor expansion of n in n 1.564 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.565 * [taylor]: Taking taylor expansion of -1 in f 1.565 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.565 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.565 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.565 * [taylor]: Taking taylor expansion of f in f 1.565 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.565 * [taylor]: Taking taylor expansion of n in f 1.565 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.565 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.565 * [taylor]: Taking taylor expansion of f in f 1.565 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.565 * [taylor]: Taking taylor expansion of n in f 1.566 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.566 * [taylor]: Taking taylor expansion of -1 in f 1.566 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.566 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.566 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.566 * [taylor]: Taking taylor expansion of f in f 1.566 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.566 * [taylor]: Taking taylor expansion of n in f 1.566 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.566 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.566 * [taylor]: Taking taylor expansion of f in f 1.567 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.567 * [taylor]: Taking taylor expansion of n in f 1.568 * [taylor]: Taking taylor expansion of -1 in n 1.569 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 1.569 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.569 * [taylor]: Taking taylor expansion of 2 in n 1.569 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.569 * [taylor]: Taking taylor expansion of n in n 1.573 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 1.573 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.573 * [taylor]: Taking taylor expansion of 2 in n 1.573 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.573 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.573 * [taylor]: Taking taylor expansion of n in n 1.581 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 1.581 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.581 * [taylor]: Taking taylor expansion of 2 in n 1.581 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.581 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.581 * [taylor]: Taking taylor expansion of n in n 1.591 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.591 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.591 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.591 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.591 * [taylor]: Taking taylor expansion of f in n 1.591 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.591 * [taylor]: Taking taylor expansion of n in n 1.592 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.592 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.592 * [taylor]: Taking taylor expansion of n in n 1.592 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.592 * [taylor]: Taking taylor expansion of f in n 1.593 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.593 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.593 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.593 * [taylor]: Taking taylor expansion of f in f 1.593 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.593 * [taylor]: Taking taylor expansion of n in f 1.593 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.593 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.593 * [taylor]: Taking taylor expansion of n in f 1.593 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.593 * [taylor]: Taking taylor expansion of f in f 1.594 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.594 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.594 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.594 * [taylor]: Taking taylor expansion of f in f 1.595 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.595 * [taylor]: Taking taylor expansion of n in f 1.595 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.595 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.595 * [taylor]: Taking taylor expansion of n in f 1.595 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.595 * [taylor]: Taking taylor expansion of f in f 1.596 * [taylor]: Taking taylor expansion of -1 in n 1.597 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 1.597 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.597 * [taylor]: Taking taylor expansion of 2 in n 1.597 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.597 * [taylor]: Taking taylor expansion of n in n 1.601 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 1.601 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.601 * [taylor]: Taking taylor expansion of 2 in n 1.601 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.601 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.601 * [taylor]: Taking taylor expansion of n in n 1.608 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 1.608 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.608 * [taylor]: Taking taylor expansion of 2 in n 1.608 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.608 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.608 * [taylor]: Taking taylor expansion of n in n 1.614 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.614 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.614 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.614 * [taylor]: Taking taylor expansion of -1 in n 1.614 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.614 * [taylor]: Taking taylor expansion of (+ n f) in n 1.614 * [taylor]: Taking taylor expansion of n in n 1.614 * [taylor]: Taking taylor expansion of f in n 1.614 * [taylor]: Taking taylor expansion of (- f n) in n 1.614 * [taylor]: Taking taylor expansion of f in n 1.614 * [taylor]: Taking taylor expansion of n in n 1.614 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.614 * [taylor]: Taking taylor expansion of -1 in f 1.614 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.615 * [taylor]: Taking taylor expansion of (+ n f) in f 1.615 * [taylor]: Taking taylor expansion of n in f 1.615 * [taylor]: Taking taylor expansion of f in f 1.615 * [taylor]: Taking taylor expansion of (- f n) in f 1.615 * [taylor]: Taking taylor expansion of f in f 1.615 * [taylor]: Taking taylor expansion of n in f 1.615 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.615 * [taylor]: Taking taylor expansion of -1 in f 1.615 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.615 * [taylor]: Taking taylor expansion of (+ n f) in f 1.615 * [taylor]: Taking taylor expansion of n in f 1.615 * [taylor]: Taking taylor expansion of f in f 1.615 * [taylor]: Taking taylor expansion of (- f n) in f 1.615 * [taylor]: Taking taylor expansion of f in f 1.615 * [taylor]: Taking taylor expansion of n in f 1.615 * [taylor]: Taking taylor expansion of 1 in n 1.616 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.616 * [taylor]: Taking taylor expansion of 2 in n 1.616 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.616 * [taylor]: Taking taylor expansion of n in n 1.619 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.619 * [taylor]: Taking taylor expansion of 2 in n 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.619 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.619 * [taylor]: Taking taylor expansion of n in n 1.624 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.624 * [taylor]: Taking taylor expansion of 2 in n 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.624 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.624 * [taylor]: Taking taylor expansion of n in n 1.630 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.630 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.630 * [taylor]: Taking taylor expansion of -1 in n 1.630 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.630 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.630 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.630 * [taylor]: Taking taylor expansion of f in n 1.630 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.630 * [taylor]: Taking taylor expansion of n in n 1.630 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.630 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.630 * [taylor]: Taking taylor expansion of f in n 1.630 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.630 * [taylor]: Taking taylor expansion of n in n 1.631 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.631 * [taylor]: Taking taylor expansion of -1 in f 1.631 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.631 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.631 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.631 * [taylor]: Taking taylor expansion of f in f 1.632 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.632 * [taylor]: Taking taylor expansion of n in f 1.632 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.632 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.632 * [taylor]: Taking taylor expansion of f in f 1.632 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.632 * [taylor]: Taking taylor expansion of n in f 1.633 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.633 * [taylor]: Taking taylor expansion of -1 in f 1.633 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.633 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.633 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.633 * [taylor]: Taking taylor expansion of f in f 1.633 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.633 * [taylor]: Taking taylor expansion of n in f 1.633 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.633 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.633 * [taylor]: Taking taylor expansion of f in f 1.634 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.634 * [taylor]: Taking taylor expansion of n in f 1.635 * [taylor]: Taking taylor expansion of -1 in n 1.636 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 1.636 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.636 * [taylor]: Taking taylor expansion of 2 in n 1.636 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.636 * [taylor]: Taking taylor expansion of n in n 1.640 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 1.640 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.640 * [taylor]: Taking taylor expansion of 2 in n 1.640 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.640 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.640 * [taylor]: Taking taylor expansion of n in n 1.648 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 1.648 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.648 * [taylor]: Taking taylor expansion of 2 in n 1.648 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.648 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.648 * [taylor]: Taking taylor expansion of n in n 1.653 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.653 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.654 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.654 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.654 * [taylor]: Taking taylor expansion of f in n 1.654 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.654 * [taylor]: Taking taylor expansion of n in n 1.654 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.654 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.654 * [taylor]: Taking taylor expansion of n in n 1.654 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.654 * [taylor]: Taking taylor expansion of f in n 1.655 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.655 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.655 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.655 * [taylor]: Taking taylor expansion of f in f 1.655 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.655 * [taylor]: Taking taylor expansion of n in f 1.656 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.656 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.656 * [taylor]: Taking taylor expansion of n in f 1.656 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.656 * [taylor]: Taking taylor expansion of f in f 1.657 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.657 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.657 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.657 * [taylor]: Taking taylor expansion of f in f 1.657 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.657 * [taylor]: Taking taylor expansion of n in f 1.657 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.657 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.657 * [taylor]: Taking taylor expansion of n in f 1.657 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.657 * [taylor]: Taking taylor expansion of f in f 1.659 * [taylor]: Taking taylor expansion of -1 in n 1.660 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 1.660 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.660 * [taylor]: Taking taylor expansion of 2 in n 1.660 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.660 * [taylor]: Taking taylor expansion of n in n 1.664 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 1.664 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.664 * [taylor]: Taking taylor expansion of 2 in n 1.664 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.664 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.664 * [taylor]: Taking taylor expansion of n in n 1.677 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 1.677 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.677 * [taylor]: Taking taylor expansion of 2 in n 1.677 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.677 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.677 * [taylor]: Taking taylor expansion of n in n 1.682 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.682 * [approximate]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 1.683 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in n 1.683 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.683 * [taylor]: Taking taylor expansion of -1 in n 1.683 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.683 * [taylor]: Taking taylor expansion of (+ n f) in n 1.683 * [taylor]: Taking taylor expansion of n in n 1.683 * [taylor]: Taking taylor expansion of f in n 1.683 * [taylor]: Taking taylor expansion of (- f n) in n 1.683 * [taylor]: Taking taylor expansion of f in n 1.683 * [taylor]: Taking taylor expansion of n in n 1.685 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 1.685 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.685 * [taylor]: Taking taylor expansion of -1 in f 1.685 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.685 * [taylor]: Taking taylor expansion of (+ n f) in f 1.685 * [taylor]: Taking taylor expansion of n in f 1.685 * [taylor]: Taking taylor expansion of f in f 1.685 * [taylor]: Taking taylor expansion of (- f n) in f 1.685 * [taylor]: Taking taylor expansion of f in f 1.685 * [taylor]: Taking taylor expansion of n in f 1.687 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 1.687 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.687 * [taylor]: Taking taylor expansion of -1 in f 1.687 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.687 * [taylor]: Taking taylor expansion of (+ n f) in f 1.687 * [taylor]: Taking taylor expansion of n in f 1.687 * [taylor]: Taking taylor expansion of f in f 1.688 * [taylor]: Taking taylor expansion of (- f n) in f 1.688 * [taylor]: Taking taylor expansion of f in f 1.688 * [taylor]: Taking taylor expansion of n in f 1.690 * [taylor]: Taking taylor expansion of 1 in n 1.690 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.690 * [taylor]: Taking taylor expansion of n in n 1.692 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 1.692 * [taylor]: Taking taylor expansion of 1/2 in n 1.692 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.692 * [taylor]: Taking taylor expansion of n in n 1.697 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 3)) in n 1.697 * [taylor]: Taking taylor expansion of 1/2 in n 1.697 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.697 * [taylor]: Taking taylor expansion of n in n 1.702 * [approximate]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 1.702 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.703 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.703 * [taylor]: Taking taylor expansion of -1 in n 1.703 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.703 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.703 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.703 * [taylor]: Taking taylor expansion of f in n 1.703 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.703 * [taylor]: Taking taylor expansion of n in n 1.703 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.703 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.703 * [taylor]: Taking taylor expansion of f in n 1.703 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.703 * [taylor]: Taking taylor expansion of n in n 1.707 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.707 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.707 * [taylor]: Taking taylor expansion of -1 in f 1.707 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.707 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.707 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.707 * [taylor]: Taking taylor expansion of f in f 1.707 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.707 * [taylor]: Taking taylor expansion of n in f 1.707 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.707 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.707 * [taylor]: Taking taylor expansion of f in f 1.707 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.707 * [taylor]: Taking taylor expansion of n in f 1.710 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.711 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.711 * [taylor]: Taking taylor expansion of -1 in f 1.711 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.711 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.711 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.711 * [taylor]: Taking taylor expansion of f in f 1.711 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.711 * [taylor]: Taking taylor expansion of n in f 1.711 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.711 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.711 * [taylor]: Taking taylor expansion of f in f 1.711 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.711 * [taylor]: Taking taylor expansion of n in f 1.715 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.715 * [taylor]: Taking taylor expansion of -1 in n 1.716 * [taylor]: Taking taylor expansion of (/ -1 (* (sqrt -1) n)) in n 1.716 * [taylor]: Taking taylor expansion of -1 in n 1.716 * [taylor]: Taking taylor expansion of (* (sqrt -1) n) in n 1.716 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.716 * [taylor]: Taking taylor expansion of -1 in n 1.716 * [taylor]: Taking taylor expansion of n in n 1.724 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) in n 1.725 * [taylor]: Taking taylor expansion of -1/2 in n 1.725 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)) in n 1.725 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) in n 1.725 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.725 * [taylor]: Taking taylor expansion of 2 in n 1.725 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.725 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.725 * [taylor]: Taking taylor expansion of n in n 1.725 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 2))) in n 1.725 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 2)) in n 1.725 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.725 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.725 * [taylor]: Taking taylor expansion of -1 in n 1.726 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.726 * [taylor]: Taking taylor expansion of n in n 1.729 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.729 * [taylor]: Taking taylor expansion of -1 in n 1.758 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) in n 1.758 * [taylor]: Taking taylor expansion of -1/2 in n 1.758 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1)) in n 1.759 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) in n 1.759 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) in n 1.759 * [taylor]: Taking taylor expansion of 2 in n 1.759 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) in n 1.759 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 3)) in n 1.759 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.759 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.759 * [taylor]: Taking taylor expansion of -1 in n 1.760 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.760 * [taylor]: Taking taylor expansion of n in n 1.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3)))) in n 1.763 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) in n 1.763 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 4) (pow n 3)) in n 1.763 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 4) in n 1.763 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.763 * [taylor]: Taking taylor expansion of -1 in n 1.764 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.764 * [taylor]: Taking taylor expansion of n in n 1.769 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.769 * [taylor]: Taking taylor expansion of 2 in n 1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.769 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.769 * [taylor]: Taking taylor expansion of n in n 1.769 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.770 * [taylor]: Taking taylor expansion of -1 in n 1.820 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 1.820 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.820 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.820 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.820 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.820 * [taylor]: Taking taylor expansion of f in n 1.820 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.820 * [taylor]: Taking taylor expansion of n in n 1.820 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.821 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.821 * [taylor]: Taking taylor expansion of n in n 1.821 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.821 * [taylor]: Taking taylor expansion of f in n 1.823 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.823 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.823 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.823 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.823 * [taylor]: Taking taylor expansion of f in f 1.824 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.824 * [taylor]: Taking taylor expansion of n in f 1.824 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.824 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.824 * [taylor]: Taking taylor expansion of n in f 1.824 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.824 * [taylor]: Taking taylor expansion of f in f 1.827 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.827 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.827 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.827 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.827 * [taylor]: Taking taylor expansion of f in f 1.827 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.827 * [taylor]: Taking taylor expansion of n in f 1.827 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.827 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.827 * [taylor]: Taking taylor expansion of n in f 1.827 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.827 * [taylor]: Taking taylor expansion of f in f 1.831 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.831 * [taylor]: Taking taylor expansion of -1 in n 1.832 * [taylor]: Taking taylor expansion of (/ -1 (* (sqrt -1) n)) in n 1.832 * [taylor]: Taking taylor expansion of -1 in n 1.832 * [taylor]: Taking taylor expansion of (* (sqrt -1) n) in n 1.832 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.832 * [taylor]: Taking taylor expansion of -1 in n 1.832 * [taylor]: Taking taylor expansion of n in n 1.845 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) in n 1.845 * [taylor]: Taking taylor expansion of -1/2 in n 1.845 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)) in n 1.845 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) in n 1.845 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.845 * [taylor]: Taking taylor expansion of 2 in n 1.845 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.845 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.845 * [taylor]: Taking taylor expansion of n in n 1.846 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 2))) in n 1.846 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 2)) in n 1.846 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.846 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.846 * [taylor]: Taking taylor expansion of -1 in n 1.847 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.847 * [taylor]: Taking taylor expansion of n in n 1.850 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.850 * [taylor]: Taking taylor expansion of -1 in n 1.874 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) in n 1.874 * [taylor]: Taking taylor expansion of -1/2 in n 1.874 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1)) in n 1.874 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) in n 1.874 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) in n 1.874 * [taylor]: Taking taylor expansion of 2 in n 1.875 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) in n 1.875 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 3)) in n 1.875 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.875 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.875 * [taylor]: Taking taylor expansion of -1 in n 1.875 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.875 * [taylor]: Taking taylor expansion of n in n 1.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3)))) in n 1.878 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) in n 1.879 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 4) (pow n 3)) in n 1.879 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 4) in n 1.879 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.879 * [taylor]: Taking taylor expansion of -1 in n 1.879 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.879 * [taylor]: Taking taylor expansion of n in n 1.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.884 * [taylor]: Taking taylor expansion of 2 in n 1.884 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.884 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.884 * [taylor]: Taking taylor expansion of n in n 1.885 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.885 * [taylor]: Taking taylor expansion of -1 in n 1.942 * * * [progress]: simplifying candidates 1.951 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n))) (* (sqrt (/ (neg (+ f n)) (- f n))) (sqrt (/ (neg (+ f n)) (- f n)))) 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(/ 1 (sqrt (- f n)))) (sqrt (/ (neg (+ f n)) (sqrt (- f n)))) 1 (sqrt (/ (neg (+ f n)) (- f n))) (sqrt (/ 1 (+ (sqrt f) (sqrt n)))) (sqrt (/ (neg (+ f n)) (- (sqrt f) (sqrt n)))) 1 (sqrt (/ (neg (+ f n)) (- f n))) (fabs (/ 1 (cbrt (- f n)))) (sqrt (/ (neg (+ f n)) (cbrt (- f n)))) (sqrt (/ 1 (sqrt (- f n)))) (sqrt (/ (neg (+ f n)) (sqrt (- f n)))) 1 (sqrt (/ (neg (+ f n)) (- f n))) (sqrt (/ 1 (+ (sqrt f) (sqrt n)))) (sqrt (/ (neg (+ f n)) (- (sqrt f) (sqrt n)))) 1 (sqrt (/ (neg (+ f n)) (- f n))) 1 (sqrt (/ (neg (+ f n)) (- f n))) (sqrt (neg (+ f n))) (sqrt (/ 1 (- f n))) (sqrt (/ (neg (+ f n)) (- (pow f 3) (pow n 3)))) (sqrt (+ (* f f) (+ (* n n) (* f n)))) (sqrt (/ (neg (+ f n)) (- (* f f) (* n n)))) (sqrt (+ f n)) (sqrt (neg (+ f n))) (sqrt (- f n)) 1/2 (sqrt (sqrt (/ (neg (+ f n)) (- f n)))) (sqrt (sqrt (/ (neg (+ f n)) (- f n)))) 1 -1 -1 1 -1 -1 1 -1 -1 1 (sqrt -1) (sqrt -1) 2.089 * * * [progress]: adding candidates to table 2.956 * [progress]: [Phase 3 of 3] Extracting. 2.956 * * [regime]: Finding splitpoints for: (# # # #) 2.957 * * * [regime-changes]: Trying 3 branch expressions: ((/ (neg (+ f n)) (- f n)) n f) 2.957 * * * * [regimes]: Trying to branch on (/ (neg (+ f n)) (- f n)) from (# # # #) 2.971 * * * * [regimes]: Trying to branch on n from (# # # #) 2.988 * * * * [regimes]: Trying to branch on f from (# # # #) 3.003 * * * [regime]: Found split indices: #