0.876 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.273 * * * [progress]: [2/2] Setting up program. 0.276 * [progress]: [Phase 2 of 3] Improving. 0.279 * [simplify]: Simplifying using # : (/ (neg (+ f n)) (- f n)) 0.285 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.286 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.288 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.289 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.290 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.291 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.293 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.293 * [simplify]: Simplified to: (/ (neg (+ f n)) (- f n)) 0.295 * * [progress]: iteration 1 / 4 0.295 * * * [progress]: picking best candidate 0.297 * * * * [pick]: Picked # 0.297 * * * [progress]: localizing error 0.306 * * * [progress]: generating rewritten candidates 0.306 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.322 * * * [progress]: generating series expansions 0.322 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.327 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.328 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.328 * [taylor]: Taking taylor expansion of -1 in n 0.328 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.328 * [taylor]: Taking taylor expansion of (+ n f) in n 0.328 * [taylor]: Taking taylor expansion of n in n 0.328 * [taylor]: Taking taylor expansion of f in n 0.328 * [taylor]: Taking taylor expansion of (- f n) in n 0.328 * [taylor]: Taking taylor expansion of f in n 0.328 * [taylor]: Taking taylor expansion of n in n 0.329 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.329 * [taylor]: Taking taylor expansion of -1 in f 0.329 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.329 * [taylor]: Taking taylor expansion of (+ n f) in f 0.329 * [taylor]: Taking taylor expansion of n in f 0.329 * [taylor]: Taking taylor expansion of f in f 0.329 * [taylor]: Taking taylor expansion of (- f n) in f 0.329 * [taylor]: Taking taylor expansion of f in f 0.329 * [taylor]: Taking taylor expansion of n in f 0.329 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.329 * [taylor]: Taking taylor expansion of -1 in f 0.329 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.329 * [taylor]: Taking taylor expansion of (+ n f) in f 0.329 * [taylor]: Taking taylor expansion of n in f 0.329 * [taylor]: Taking taylor expansion of f in f 0.329 * [taylor]: Taking taylor expansion of (- f n) in f 0.329 * [taylor]: Taking taylor expansion of f in f 0.329 * [taylor]: Taking taylor expansion of n in f 0.330 * [taylor]: Taking taylor expansion of 1 in n 0.332 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.332 * [taylor]: Taking taylor expansion of 2 in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.335 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.335 * [taylor]: Taking taylor expansion of 2 in n 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.335 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.335 * [taylor]: Taking taylor expansion of n in n 0.342 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.342 * [taylor]: Taking taylor expansion of 2 in n 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.342 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.342 * [taylor]: Taking taylor expansion of n in n 0.349 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.349 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.349 * [taylor]: Taking taylor expansion of -1 in n 0.349 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.349 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.349 * [taylor]: Taking taylor expansion of f in n 0.349 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.349 * [taylor]: Taking taylor expansion of n in n 0.350 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.350 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.350 * [taylor]: Taking taylor expansion of f in n 0.350 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.350 * [taylor]: Taking taylor expansion of n in n 0.351 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.351 * [taylor]: Taking taylor expansion of -1 in f 0.351 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.351 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.351 * [taylor]: Taking taylor expansion of f in f 0.352 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.352 * [taylor]: Taking taylor expansion of n in f 0.352 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.352 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.352 * [taylor]: Taking taylor expansion of f in f 0.352 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.352 * [taylor]: Taking taylor expansion of n in f 0.353 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.353 * [taylor]: Taking taylor expansion of -1 in f 0.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.353 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.353 * [taylor]: Taking taylor expansion of f in f 0.353 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.353 * [taylor]: Taking taylor expansion of n in f 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.353 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.353 * [taylor]: Taking taylor expansion of f in f 0.354 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.354 * [taylor]: Taking taylor expansion of n in f 0.355 * [taylor]: Taking taylor expansion of -1 in n 0.357 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 0.357 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.357 * [taylor]: Taking taylor expansion of 2 in n 0.357 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.357 * [taylor]: Taking taylor expansion of n in n 0.362 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 0.362 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.362 * [taylor]: Taking taylor expansion of 2 in n 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.362 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.362 * [taylor]: Taking taylor expansion of n in n 0.385 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 0.385 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.385 * [taylor]: Taking taylor expansion of 2 in n 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.385 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.385 * [taylor]: Taking taylor expansion of n in n 0.391 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.391 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.391 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.391 * [taylor]: Taking taylor expansion of f in n 0.392 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.392 * [taylor]: Taking taylor expansion of n in n 0.392 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.392 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.392 * [taylor]: Taking taylor expansion of n in n 0.392 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.392 * [taylor]: Taking taylor expansion of f in n 0.393 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.393 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.393 * [taylor]: Taking taylor expansion of f in f 0.393 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.393 * [taylor]: Taking taylor expansion of n in f 0.393 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.393 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.393 * [taylor]: Taking taylor expansion of n in f 0.393 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.393 * [taylor]: Taking taylor expansion of f in f 0.395 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.395 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.395 * [taylor]: Taking taylor expansion of f in f 0.395 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.395 * [taylor]: Taking taylor expansion of n in f 0.395 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.395 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.395 * [taylor]: Taking taylor expansion of n in f 0.395 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.395 * [taylor]: Taking taylor expansion of f in f 0.397 * [taylor]: Taking taylor expansion of -1 in n 0.398 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 0.398 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.398 * [taylor]: Taking taylor expansion of 2 in n 0.398 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.398 * [taylor]: Taking taylor expansion of n in n 0.402 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 0.402 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.402 * [taylor]: Taking taylor expansion of 2 in n 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.402 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.403 * [taylor]: Taking taylor expansion of n in n 0.411 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 0.411 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.411 * [taylor]: Taking taylor expansion of 2 in n 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.411 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.411 * [taylor]: Taking taylor expansion of n in n 0.417 * * * [progress]: simplifying candidates 0.419 * [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 0.424 * * [simplify]: iteration 0 : 288 enodes (cost 754 ) 0.429 * * [simplify]: iteration 1 : 906 enodes (cost 738 ) 0.442 * * [simplify]: iteration 2 : 2893 enodes (cost 733 ) 0.482 * * [simplify]: iteration 3 : 5001 enodes (cost 733 ) 0.486 * [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 0.487 * * * [progress]: adding candidates to table 0.620 * * [progress]: iteration 2 / 4 0.620 * * * [progress]: picking best candidate 0.624 * * * * [pick]: Picked # 0.624 * * * [progress]: localizing error 0.630 * * * [progress]: generating rewritten candidates 0.630 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.638 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.661 * * * [progress]: generating series expansions 0.661 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.661 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 0.661 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 0.661 * [taylor]: Taking taylor expansion of (- f n) in n 0.661 * [taylor]: Taking taylor expansion of f in n 0.661 * [taylor]: Taking taylor expansion of n in n 0.661 * [taylor]: Taking taylor expansion of (+ n f) in n 0.661 * [taylor]: Taking taylor expansion of n in n 0.661 * [taylor]: Taking taylor expansion of f in n 0.662 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.662 * [taylor]: Taking taylor expansion of (- f n) in f 0.662 * [taylor]: Taking taylor expansion of f in f 0.662 * [taylor]: Taking taylor expansion of n in f 0.662 * [taylor]: Taking taylor expansion of (+ n f) in f 0.662 * [taylor]: Taking taylor expansion of n in f 0.662 * [taylor]: Taking taylor expansion of f in f 0.662 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.662 * [taylor]: Taking taylor expansion of (- f n) in f 0.662 * [taylor]: Taking taylor expansion of f in f 0.662 * [taylor]: Taking taylor expansion of n in f 0.662 * [taylor]: Taking taylor expansion of (+ n f) in f 0.662 * [taylor]: Taking taylor expansion of n in f 0.662 * [taylor]: Taking taylor expansion of f in f 0.663 * [taylor]: Taking taylor expansion of -1 in n 0.664 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.664 * [taylor]: Taking taylor expansion of 2 in n 0.664 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.664 * [taylor]: Taking taylor expansion of n in n 0.666 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 0.666 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.666 * [taylor]: Taking taylor expansion of 2 in n 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.666 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.666 * [taylor]: Taking taylor expansion of n in n 0.671 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.671 * [taylor]: Taking taylor expansion of 2 in n 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.671 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.671 * [taylor]: Taking taylor expansion of n in n 0.678 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 0.678 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 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 0.678 * [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 0.680 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.680 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.680 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.680 * [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 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.680 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.680 * [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 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 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 0.682 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.682 * [taylor]: Taking taylor expansion of n in f 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.682 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.682 * [taylor]: Taking taylor expansion of f in f 0.682 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.682 * [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 0.688 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.688 * [taylor]: Taking taylor expansion of 2 in n 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.688 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.688 * [taylor]: Taking taylor expansion of n in n 0.696 * [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 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 0.702 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 0.702 * [taylor]: Taking taylor expansion of -1 in n 0.702 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 0.702 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.702 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.703 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.703 * [taylor]: Taking taylor expansion of f in n 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.703 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.703 * [taylor]: Taking taylor expansion of f in n 0.703 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.703 * [taylor]: Taking taylor expansion of n in n 0.704 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.704 * [taylor]: Taking taylor expansion of -1 in f 0.704 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.704 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.704 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.704 * [taylor]: Taking taylor expansion of n in f 0.704 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.704 * [taylor]: Taking taylor expansion of f in f 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.705 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.705 * [taylor]: Taking taylor expansion of f in f 0.705 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.705 * [taylor]: Taking taylor expansion of n in f 0.706 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.706 * [taylor]: Taking taylor expansion of -1 in f 0.706 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.706 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.706 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.706 * [taylor]: Taking taylor expansion of n in f 0.706 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.706 * [taylor]: Taking taylor expansion of f in f 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.706 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.706 * [taylor]: Taking taylor expansion of f in f 0.707 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.707 * [taylor]: Taking taylor expansion of n in f 0.708 * [taylor]: Taking taylor expansion of 1 in n 0.710 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 0.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.710 * [taylor]: Taking taylor expansion of 2 in n 0.710 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.710 * [taylor]: Taking taylor expansion of n in n 0.714 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.715 * [taylor]: Taking taylor expansion of 2 in n 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.715 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.715 * [taylor]: Taking taylor expansion of n in n 0.723 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 0.723 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.723 * [taylor]: Taking taylor expansion of 2 in n 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.723 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.723 * [taylor]: Taking taylor expansion of n in n 0.729 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.729 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.729 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.729 * [taylor]: Taking taylor expansion of -1 in n 0.729 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.729 * [taylor]: Taking taylor expansion of (+ n f) in n 0.729 * [taylor]: Taking taylor expansion of n in n 0.729 * [taylor]: Taking taylor expansion of f in n 0.729 * [taylor]: Taking taylor expansion of (- f n) in n 0.729 * [taylor]: Taking taylor expansion of f in n 0.729 * [taylor]: Taking taylor expansion of n in n 0.730 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.730 * [taylor]: Taking taylor expansion of -1 in f 0.730 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.730 * [taylor]: Taking taylor expansion of (+ n f) in f 0.730 * [taylor]: Taking taylor expansion of n in f 0.730 * [taylor]: Taking taylor expansion of f in f 0.730 * [taylor]: Taking taylor expansion of (- f n) in f 0.730 * [taylor]: Taking taylor expansion of f in f 0.730 * [taylor]: Taking taylor expansion of n in f 0.730 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.730 * [taylor]: Taking taylor expansion of -1 in f 0.730 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.730 * [taylor]: Taking taylor expansion of (+ n f) in f 0.730 * [taylor]: Taking taylor expansion of n in f 0.730 * [taylor]: Taking taylor expansion of f in f 0.730 * [taylor]: Taking taylor expansion of (- f n) in f 0.730 * [taylor]: Taking taylor expansion of f in f 0.730 * [taylor]: Taking taylor expansion of n in f 0.731 * [taylor]: Taking taylor expansion of 1 in n 0.732 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.732 * [taylor]: Taking taylor expansion of 2 in n 0.732 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.732 * [taylor]: Taking taylor expansion of n in n 0.738 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.738 * [taylor]: Taking taylor expansion of 2 in n 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.738 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.738 * [taylor]: Taking taylor expansion of n in n 0.744 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.744 * [taylor]: Taking taylor expansion of 2 in n 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.744 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.744 * [taylor]: Taking taylor expansion of n in n 0.750 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.750 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.750 * [taylor]: Taking taylor expansion of -1 in n 0.750 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.750 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.750 * [taylor]: Taking taylor expansion of f in n 0.750 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.750 * [taylor]: Taking taylor expansion of n in n 0.751 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.751 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.751 * [taylor]: Taking taylor expansion of f in n 0.751 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.751 * [taylor]: Taking taylor expansion of n in n 0.752 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.752 * [taylor]: Taking taylor expansion of -1 in f 0.752 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.752 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.752 * [taylor]: Taking taylor expansion of f in f 0.753 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.753 * [taylor]: Taking taylor expansion of n in f 0.753 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.753 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.753 * [taylor]: Taking taylor expansion of f in f 0.753 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.753 * [taylor]: Taking taylor expansion of n in f 0.754 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.754 * [taylor]: Taking taylor expansion of -1 in f 0.754 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.754 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.754 * [taylor]: Taking taylor expansion of f in f 0.754 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.754 * [taylor]: Taking taylor expansion of n in f 0.754 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.754 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.754 * [taylor]: Taking taylor expansion of f in f 0.755 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.755 * [taylor]: Taking taylor expansion of n in f 0.756 * [taylor]: Taking taylor expansion of -1 in n 0.757 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 0.757 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.757 * [taylor]: Taking taylor expansion of 2 in n 0.757 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.757 * [taylor]: Taking taylor expansion of n in n 0.762 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 0.762 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.762 * [taylor]: Taking taylor expansion of 2 in n 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.762 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.762 * [taylor]: Taking taylor expansion of n in n 0.770 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 0.770 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.770 * [taylor]: Taking taylor expansion of 2 in n 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.770 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.770 * [taylor]: Taking taylor expansion of n in n 0.776 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.776 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.776 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.776 * [taylor]: Taking taylor expansion of f in n 0.776 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.776 * [taylor]: Taking taylor expansion of n in n 0.776 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.777 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.777 * [taylor]: Taking taylor expansion of n in n 0.777 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.777 * [taylor]: Taking taylor expansion of f in n 0.778 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.778 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.778 * [taylor]: Taking taylor expansion of f in f 0.778 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.778 * [taylor]: Taking taylor expansion of n in f 0.778 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.778 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.778 * [taylor]: Taking taylor expansion of n in f 0.778 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.778 * [taylor]: Taking taylor expansion of f in f 0.779 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.779 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.779 * [taylor]: Taking taylor expansion of f in f 0.780 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.780 * [taylor]: Taking taylor expansion of n in f 0.780 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.780 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.780 * [taylor]: Taking taylor expansion of n in f 0.780 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.780 * [taylor]: Taking taylor expansion of f in f 0.781 * [taylor]: Taking taylor expansion of -1 in n 0.783 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 0.783 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.783 * [taylor]: Taking taylor expansion of 2 in n 0.783 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.783 * [taylor]: Taking taylor expansion of n in n 0.787 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 0.787 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.787 * [taylor]: Taking taylor expansion of 2 in n 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.787 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.787 * [taylor]: Taking taylor expansion of n in n 0.795 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 0.795 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.795 * [taylor]: Taking taylor expansion of 2 in n 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.795 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.795 * [taylor]: Taking taylor expansion of n in n 0.801 * * * [progress]: simplifying candidates 0.804 * [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 0.812 * * [simplify]: iteration 0 : 523 enodes (cost 1449 ) 0.824 * * [simplify]: iteration 1 : 2545 enodes (cost 1405 ) 0.867 * * [simplify]: iteration 2 : 5001 enodes (cost 1287 ) 0.874 * [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 0.878 * * * [progress]: adding candidates to table 1.074 * * [progress]: iteration 3 / 4 1.074 * * * [progress]: picking best candidate 1.077 * * * * [pick]: Picked # 1.077 * * * [progress]: localizing error 1.085 * * * [progress]: generating rewritten candidates 1.085 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.098 * * * [progress]: generating series expansions 1.099 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.099 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.099 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.099 * [taylor]: Taking taylor expansion of -1 in n 1.099 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.099 * [taylor]: Taking taylor expansion of (+ n f) in n 1.099 * [taylor]: Taking taylor expansion of n in n 1.099 * [taylor]: Taking taylor expansion of f in n 1.099 * [taylor]: Taking taylor expansion of (- f n) in n 1.099 * [taylor]: Taking taylor expansion of f in n 1.099 * [taylor]: Taking taylor expansion of n in n 1.099 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.099 * [taylor]: Taking taylor expansion of -1 in f 1.099 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.099 * [taylor]: Taking taylor expansion of (+ n f) in f 1.099 * [taylor]: Taking taylor expansion of n in f 1.099 * [taylor]: Taking taylor expansion of f in f 1.099 * [taylor]: Taking taylor expansion of (- f n) in f 1.099 * [taylor]: Taking taylor expansion of f in f 1.100 * [taylor]: Taking taylor expansion of n in f 1.100 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.100 * [taylor]: Taking taylor expansion of -1 in f 1.100 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.100 * [taylor]: Taking taylor expansion of (+ n f) in f 1.100 * [taylor]: Taking taylor expansion of n in f 1.100 * [taylor]: Taking taylor expansion of f in f 1.100 * [taylor]: Taking taylor expansion of (- f n) in f 1.100 * [taylor]: Taking taylor expansion of f in f 1.100 * [taylor]: Taking taylor expansion of n in f 1.100 * [taylor]: Taking taylor expansion of 1 in n 1.101 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.101 * [taylor]: Taking taylor expansion of 2 in n 1.101 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.101 * [taylor]: Taking taylor expansion of n in n 1.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.104 * [taylor]: Taking taylor expansion of 2 in n 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.104 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.104 * [taylor]: Taking taylor expansion of n in n 1.109 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.109 * [taylor]: Taking taylor expansion of 2 in n 1.109 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.109 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.109 * [taylor]: Taking taylor expansion of n in n 1.115 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.115 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.115 * [taylor]: Taking taylor expansion of -1 in n 1.115 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.115 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.115 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.115 * [taylor]: Taking taylor expansion of f in n 1.115 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.115 * [taylor]: Taking taylor expansion of n in n 1.116 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.116 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.116 * [taylor]: Taking taylor expansion of f in n 1.116 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.116 * [taylor]: Taking taylor expansion of n in n 1.117 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.117 * [taylor]: Taking taylor expansion of -1 in f 1.117 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.117 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.117 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.117 * [taylor]: Taking taylor expansion of f in f 1.118 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.118 * [taylor]: Taking taylor expansion of n in f 1.118 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.118 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.118 * [taylor]: Taking taylor expansion of f in f 1.118 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.118 * [taylor]: Taking taylor expansion of n in f 1.119 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.119 * [taylor]: Taking taylor expansion of -1 in f 1.119 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.119 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.119 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.119 * [taylor]: Taking taylor expansion of f in f 1.119 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.119 * [taylor]: Taking taylor expansion of n in f 1.119 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.119 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.119 * [taylor]: Taking taylor expansion of f in f 1.119 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.120 * [taylor]: Taking taylor expansion of n in f 1.121 * [taylor]: Taking taylor expansion of -1 in n 1.122 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 1.122 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.122 * [taylor]: Taking taylor expansion of 2 in n 1.122 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.122 * [taylor]: Taking taylor expansion of n in n 1.127 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 1.127 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.127 * [taylor]: Taking taylor expansion of 2 in n 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.127 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.127 * [taylor]: Taking taylor expansion of n in n 1.135 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 1.135 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.135 * [taylor]: Taking taylor expansion of 2 in n 1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.135 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.135 * [taylor]: Taking taylor expansion of n in n 1.141 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.141 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.141 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.141 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.141 * [taylor]: Taking taylor expansion of f in n 1.141 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.141 * [taylor]: Taking taylor expansion of n in n 1.141 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.141 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.141 * [taylor]: Taking taylor expansion of n in n 1.141 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.141 * [taylor]: Taking taylor expansion of f in n 1.142 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.142 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.142 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.142 * [taylor]: Taking taylor expansion of f in f 1.143 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.143 * [taylor]: Taking taylor expansion of n in f 1.143 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.143 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.143 * [taylor]: Taking taylor expansion of n in f 1.143 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.143 * [taylor]: Taking taylor expansion of f in f 1.144 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.144 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.144 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.144 * [taylor]: Taking taylor expansion of f in f 1.144 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.144 * [taylor]: Taking taylor expansion of n in f 1.144 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.144 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.144 * [taylor]: Taking taylor expansion of n in f 1.145 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.145 * [taylor]: Taking taylor expansion of f in f 1.146 * [taylor]: Taking taylor expansion of -1 in n 1.147 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 1.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.147 * [taylor]: Taking taylor expansion of 2 in n 1.147 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.147 * [taylor]: Taking taylor expansion of n in n 1.151 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 1.151 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.151 * [taylor]: Taking taylor expansion of 2 in n 1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.151 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.151 * [taylor]: Taking taylor expansion of n in n 1.159 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 1.159 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.159 * [taylor]: Taking taylor expansion of 2 in n 1.159 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.159 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.159 * [taylor]: Taking taylor expansion of n in n 1.165 * * * [progress]: simplifying candidates 1.165 * [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 1.172 * * [simplify]: iteration 0 : 365 enodes (cost 285 ) 1.179 * * [simplify]: iteration 1 : 1367 enodes (cost 259 ) 1.205 * * [simplify]: iteration 2 : 5001 enodes (cost 254 ) 1.207 * [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 1.207 * * * [progress]: adding candidates to table 1.280 * * [progress]: iteration 4 / 4 1.280 * * * [progress]: picking best candidate 1.282 * * * * [pick]: Picked # 1.282 * * * [progress]: localizing error 1.291 * * * [progress]: generating rewritten candidates 1.291 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.380 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.389 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.398 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.465 * * * [progress]: generating series expansions 1.465 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.466 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in (f n) around 0 1.466 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in n 1.466 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in n 1.466 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.466 * [taylor]: Taking taylor expansion of -1 in n 1.466 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.466 * [taylor]: Taking taylor expansion of (+ n f) in n 1.466 * [taylor]: Taking taylor expansion of n in n 1.466 * [taylor]: Taking taylor expansion of f in n 1.466 * [taylor]: Taking taylor expansion of (- f n) in n 1.466 * [taylor]: Taking taylor expansion of f in n 1.466 * [taylor]: Taking taylor expansion of n in n 1.469 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in f 1.469 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 1.469 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.469 * [taylor]: Taking taylor expansion of -1 in f 1.469 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.469 * [taylor]: Taking taylor expansion of (+ n f) in f 1.469 * [taylor]: Taking taylor expansion of n in f 1.469 * [taylor]: Taking taylor expansion of f in f 1.469 * [taylor]: Taking taylor expansion of (- f n) in f 1.469 * [taylor]: Taking taylor expansion of f in f 1.469 * [taylor]: Taking taylor expansion of n in f 1.471 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in f 1.471 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 1.471 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.471 * [taylor]: Taking taylor expansion of -1 in f 1.471 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.471 * [taylor]: Taking taylor expansion of (+ n f) in f 1.471 * [taylor]: Taking taylor expansion of n in f 1.471 * [taylor]: Taking taylor expansion of f in f 1.471 * [taylor]: Taking taylor expansion of (- f n) in f 1.472 * [taylor]: Taking taylor expansion of f in f 1.472 * [taylor]: Taking taylor expansion of n in f 1.474 * [taylor]: Taking taylor expansion of 1 in n 1.474 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.474 * [taylor]: Taking taylor expansion of 2 in n 1.474 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.474 * [taylor]: Taking taylor expansion of n in n 1.478 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.478 * [taylor]: Taking taylor expansion of 2 in n 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.478 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.478 * [taylor]: Taking taylor expansion of n in n 1.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.485 * [taylor]: Taking taylor expansion of 2 in n 1.485 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.485 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.485 * [taylor]: Taking taylor expansion of n in n 1.491 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in (f n) around 0 1.491 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in n 1.491 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.491 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.491 * [taylor]: Taking taylor expansion of -1 in n 1.491 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.491 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.491 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.491 * [taylor]: Taking taylor expansion of f in n 1.491 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.491 * [taylor]: Taking taylor expansion of n in n 1.491 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.491 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.491 * [taylor]: Taking taylor expansion of f in n 1.491 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.491 * [taylor]: Taking taylor expansion of n in n 1.495 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in f 1.495 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.495 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.495 * [taylor]: Taking taylor expansion of -1 in f 1.495 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.495 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.495 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.495 * [taylor]: Taking taylor expansion of f in f 1.495 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.495 * [taylor]: Taking taylor expansion of n in f 1.496 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.496 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.496 * [taylor]: Taking taylor expansion of f in f 1.496 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.496 * [taylor]: Taking taylor expansion of n in f 1.499 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in f 1.499 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.499 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.499 * [taylor]: Taking taylor expansion of -1 in f 1.499 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.499 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.499 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.499 * [taylor]: Taking taylor expansion of f in f 1.500 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.500 * [taylor]: Taking taylor expansion of n in f 1.500 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.500 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.500 * [taylor]: Taking taylor expansion of f in f 1.500 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.500 * [taylor]: Taking taylor expansion of n in f 1.504 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.504 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.504 * [taylor]: Taking taylor expansion of -1 in n 1.507 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 1.508 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.508 * [taylor]: Taking taylor expansion of 2 in n 1.508 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.508 * [taylor]: Taking taylor expansion of n in n 1.518 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 1.518 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.518 * [taylor]: Taking taylor expansion of 2 in n 1.518 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.518 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.518 * [taylor]: Taking taylor expansion of n in n 1.537 * [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 1.537 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) in n 1.537 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 3)) in n 1.537 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.537 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.537 * [taylor]: Taking taylor expansion of -1 in n 1.538 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.538 * [taylor]: Taking taylor expansion of n in n 1.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3)))) in n 1.541 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) in n 1.541 * [taylor]: Taking taylor expansion of (* (pow n 3) (pow (sqrt -1) 2)) in n 1.541 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.541 * [taylor]: Taking taylor expansion of n in n 1.541 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.541 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.541 * [taylor]: Taking taylor expansion of -1 in n 1.546 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.546 * [taylor]: Taking taylor expansion of 2 in n 1.546 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.546 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.547 * [taylor]: Taking taylor expansion of n in n 1.578 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.578 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.578 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.578 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.578 * [taylor]: Taking taylor expansion of f in n 1.578 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.578 * [taylor]: Taking taylor expansion of n in n 1.579 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.579 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.579 * [taylor]: Taking taylor expansion of n in n 1.579 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.579 * [taylor]: Taking taylor expansion of f in n 1.580 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.580 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.580 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.580 * [taylor]: Taking taylor expansion of f in f 1.580 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.580 * [taylor]: Taking taylor expansion of n in f 1.580 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.580 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.580 * [taylor]: Taking taylor expansion of n in f 1.580 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.580 * [taylor]: Taking taylor expansion of f in f 1.582 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.582 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.582 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.582 * [taylor]: Taking taylor expansion of f in f 1.582 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.582 * [taylor]: Taking taylor expansion of n in f 1.582 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.582 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.582 * [taylor]: Taking taylor expansion of n in f 1.582 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.582 * [taylor]: Taking taylor expansion of f in f 1.583 * [taylor]: Taking taylor expansion of -1 in n 1.585 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 1.585 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.585 * [taylor]: Taking taylor expansion of 2 in n 1.585 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.585 * [taylor]: Taking taylor expansion of n in n 1.589 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 1.589 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.589 * [taylor]: Taking taylor expansion of 2 in n 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.589 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.589 * [taylor]: Taking taylor expansion of n in n 1.596 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 1.596 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.596 * [taylor]: Taking taylor expansion of 2 in n 1.596 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.596 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.596 * [taylor]: Taking taylor expansion of n in n 1.602 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.602 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.602 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.602 * [taylor]: Taking taylor expansion of -1 in n 1.602 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.602 * [taylor]: Taking taylor expansion of (+ n f) in n 1.602 * [taylor]: Taking taylor expansion of n in n 1.602 * [taylor]: Taking taylor expansion of f in n 1.602 * [taylor]: Taking taylor expansion of (- f n) in n 1.602 * [taylor]: Taking taylor expansion of f in n 1.602 * [taylor]: Taking taylor expansion of n in n 1.603 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.603 * [taylor]: Taking taylor expansion of -1 in f 1.603 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.603 * [taylor]: Taking taylor expansion of (+ n f) in f 1.603 * [taylor]: Taking taylor expansion of n in f 1.603 * [taylor]: Taking taylor expansion of f in f 1.603 * [taylor]: Taking taylor expansion of (- f n) in f 1.603 * [taylor]: Taking taylor expansion of f in f 1.603 * [taylor]: Taking taylor expansion of n in f 1.603 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.603 * [taylor]: Taking taylor expansion of -1 in f 1.603 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.603 * [taylor]: Taking taylor expansion of (+ n f) in f 1.603 * [taylor]: Taking taylor expansion of n in f 1.603 * [taylor]: Taking taylor expansion of f in f 1.603 * [taylor]: Taking taylor expansion of (- f n) in f 1.603 * [taylor]: Taking taylor expansion of f in f 1.603 * [taylor]: Taking taylor expansion of n in f 1.603 * [taylor]: Taking taylor expansion of 1 in n 1.605 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.605 * [taylor]: Taking taylor expansion of 2 in n 1.605 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.605 * [taylor]: Taking taylor expansion of n in n 1.607 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.607 * [taylor]: Taking taylor expansion of 2 in n 1.607 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.607 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.607 * [taylor]: Taking taylor expansion of n in n 1.613 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.613 * [taylor]: Taking taylor expansion of 2 in n 1.613 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.613 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.613 * [taylor]: Taking taylor expansion of n in n 1.618 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.619 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.619 * [taylor]: Taking taylor expansion of -1 in n 1.619 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.619 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.619 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.619 * [taylor]: Taking taylor expansion of f in n 1.619 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.619 * [taylor]: Taking taylor expansion of n in n 1.619 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.619 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.619 * [taylor]: Taking taylor expansion of f in n 1.619 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.619 * [taylor]: Taking taylor expansion of n in n 1.620 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.620 * [taylor]: Taking taylor expansion of -1 in f 1.620 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.620 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.620 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.620 * [taylor]: Taking taylor expansion of f in f 1.621 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.621 * [taylor]: Taking taylor expansion of n in f 1.621 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.621 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.621 * [taylor]: Taking taylor expansion of f in f 1.621 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.621 * [taylor]: Taking taylor expansion of n in f 1.622 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.622 * [taylor]: Taking taylor expansion of -1 in f 1.622 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.622 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.622 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.622 * [taylor]: Taking taylor expansion of f in f 1.622 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.622 * [taylor]: Taking taylor expansion of n in f 1.622 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.622 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.622 * [taylor]: Taking taylor expansion of f in f 1.623 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.623 * [taylor]: Taking taylor expansion of n in f 1.624 * [taylor]: Taking taylor expansion of -1 in n 1.625 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 1.625 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.625 * [taylor]: Taking taylor expansion of 2 in n 1.625 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.625 * [taylor]: Taking taylor expansion of n in n 1.630 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 1.630 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.630 * [taylor]: Taking taylor expansion of 2 in n 1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.630 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.630 * [taylor]: Taking taylor expansion of n in n 1.640 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 1.640 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.640 * [taylor]: Taking taylor expansion of 2 in n 1.640 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.640 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.640 * [taylor]: Taking taylor expansion of n in n 1.647 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.647 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.647 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.647 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.647 * [taylor]: Taking taylor expansion of f in n 1.647 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.647 * [taylor]: Taking taylor expansion of n in n 1.647 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.647 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.647 * [taylor]: Taking taylor expansion of n in n 1.647 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.647 * [taylor]: Taking taylor expansion of f in n 1.648 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.648 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.648 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.648 * [taylor]: Taking taylor expansion of f in f 1.649 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.649 * [taylor]: Taking taylor expansion of n in f 1.649 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.649 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.649 * [taylor]: Taking taylor expansion of n in f 1.649 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.649 * [taylor]: Taking taylor expansion of f in f 1.650 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.650 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.650 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.650 * [taylor]: Taking taylor expansion of f in f 1.650 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.650 * [taylor]: Taking taylor expansion of n in f 1.650 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.650 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.650 * [taylor]: Taking taylor expansion of n in f 1.650 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.651 * [taylor]: Taking taylor expansion of f in f 1.652 * [taylor]: Taking taylor expansion of -1 in n 1.653 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 1.653 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.653 * [taylor]: Taking taylor expansion of 2 in n 1.653 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.653 * [taylor]: Taking taylor expansion of n in n 1.657 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 1.657 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.657 * [taylor]: Taking taylor expansion of 2 in n 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.657 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.657 * [taylor]: Taking taylor expansion of n in n 1.665 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 1.665 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.665 * [taylor]: Taking taylor expansion of 2 in n 1.665 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.665 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.665 * [taylor]: Taking taylor expansion of n in n 1.671 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.671 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.671 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.671 * [taylor]: Taking taylor expansion of -1 in n 1.671 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.671 * [taylor]: Taking taylor expansion of (+ n f) in n 1.671 * [taylor]: Taking taylor expansion of n in n 1.671 * [taylor]: Taking taylor expansion of f in n 1.671 * [taylor]: Taking taylor expansion of (- f n) in n 1.671 * [taylor]: Taking taylor expansion of f in n 1.671 * [taylor]: Taking taylor expansion of n in n 1.672 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.672 * [taylor]: Taking taylor expansion of -1 in f 1.672 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.672 * [taylor]: Taking taylor expansion of (+ n f) in f 1.672 * [taylor]: Taking taylor expansion of n in f 1.672 * [taylor]: Taking taylor expansion of f in f 1.672 * [taylor]: Taking taylor expansion of (- f n) in f 1.672 * [taylor]: Taking taylor expansion of f in f 1.672 * [taylor]: Taking taylor expansion of n in f 1.672 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.672 * [taylor]: Taking taylor expansion of -1 in f 1.672 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.672 * [taylor]: Taking taylor expansion of (+ n f) in f 1.672 * [taylor]: Taking taylor expansion of n in f 1.672 * [taylor]: Taking taylor expansion of f in f 1.672 * [taylor]: Taking taylor expansion of (- f n) in f 1.672 * [taylor]: Taking taylor expansion of f in f 1.672 * [taylor]: Taking taylor expansion of n in f 1.672 * [taylor]: Taking taylor expansion of 1 in n 1.674 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.674 * [taylor]: Taking taylor expansion of 2 in n 1.674 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.674 * [taylor]: Taking taylor expansion of n in n 1.676 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.676 * [taylor]: Taking taylor expansion of 2 in n 1.676 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.676 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.676 * [taylor]: Taking taylor expansion of n in n 1.682 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.682 * [taylor]: Taking taylor expansion of 2 in n 1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.682 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.682 * [taylor]: Taking taylor expansion of n in n 1.688 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.688 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.688 * [taylor]: Taking taylor expansion of -1 in n 1.688 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.688 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.688 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.688 * [taylor]: Taking taylor expansion of f in n 1.688 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.688 * [taylor]: Taking taylor expansion of n in n 1.688 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.689 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.689 * [taylor]: Taking taylor expansion of f in n 1.689 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.689 * [taylor]: Taking taylor expansion of n in n 1.690 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.690 * [taylor]: Taking taylor expansion of -1 in f 1.690 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.690 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.690 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.690 * [taylor]: Taking taylor expansion of f in f 1.690 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.690 * [taylor]: Taking taylor expansion of n in f 1.690 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.690 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.690 * [taylor]: Taking taylor expansion of f in f 1.691 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.691 * [taylor]: Taking taylor expansion of n in f 1.691 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.691 * [taylor]: Taking taylor expansion of -1 in f 1.691 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.692 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.692 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.692 * [taylor]: Taking taylor expansion of f in f 1.692 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.692 * [taylor]: Taking taylor expansion of n in f 1.692 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.692 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.692 * [taylor]: Taking taylor expansion of f in f 1.692 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.692 * [taylor]: Taking taylor expansion of n in f 1.693 * [taylor]: Taking taylor expansion of -1 in n 1.695 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 1.695 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.695 * [taylor]: Taking taylor expansion of 2 in n 1.695 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.695 * [taylor]: Taking taylor expansion of n in n 1.699 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 1.699 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.699 * [taylor]: Taking taylor expansion of 2 in n 1.699 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.699 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.699 * [taylor]: Taking taylor expansion of n in n 1.707 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 1.707 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.707 * [taylor]: Taking taylor expansion of 2 in n 1.707 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.707 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.707 * [taylor]: Taking taylor expansion of n in n 1.713 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.713 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.713 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.713 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.713 * [taylor]: Taking taylor expansion of f in n 1.713 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.713 * [taylor]: Taking taylor expansion of n in n 1.714 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.714 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.714 * [taylor]: Taking taylor expansion of n in n 1.714 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.714 * [taylor]: Taking taylor expansion of f in n 1.715 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.715 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.715 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.715 * [taylor]: Taking taylor expansion of f in f 1.715 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.715 * [taylor]: Taking taylor expansion of n in f 1.715 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.715 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.715 * [taylor]: Taking taylor expansion of n in f 1.715 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.715 * [taylor]: Taking taylor expansion of f in f 1.717 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.717 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.717 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.717 * [taylor]: Taking taylor expansion of f in f 1.717 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.717 * [taylor]: Taking taylor expansion of n in f 1.717 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.717 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.717 * [taylor]: Taking taylor expansion of n in f 1.717 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.717 * [taylor]: Taking taylor expansion of f in f 1.718 * [taylor]: Taking taylor expansion of -1 in n 1.720 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 n))) in n 1.720 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.720 * [taylor]: Taking taylor expansion of 2 in n 1.720 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.720 * [taylor]: Taking taylor expansion of n in n 1.724 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 2)))) in n 1.724 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.724 * [taylor]: Taking taylor expansion of 2 in n 1.724 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.724 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.724 * [taylor]: Taking taylor expansion of n in n 1.734 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow n 3)))) in n 1.734 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.734 * [taylor]: Taking taylor expansion of 2 in n 1.734 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.734 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.735 * [taylor]: Taking taylor expansion of n in n 1.740 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.741 * [approximate]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 1.741 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in n 1.741 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.741 * [taylor]: Taking taylor expansion of -1 in n 1.741 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.741 * [taylor]: Taking taylor expansion of (+ n f) in n 1.741 * [taylor]: Taking taylor expansion of n in n 1.741 * [taylor]: Taking taylor expansion of f in n 1.741 * [taylor]: Taking taylor expansion of (- f n) in n 1.741 * [taylor]: Taking taylor expansion of f in n 1.741 * [taylor]: Taking taylor expansion of n in n 1.744 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 1.744 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.744 * [taylor]: Taking taylor expansion of -1 in f 1.744 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.744 * [taylor]: Taking taylor expansion of (+ n f) in f 1.744 * [taylor]: Taking taylor expansion of n in f 1.744 * [taylor]: Taking taylor expansion of f in f 1.744 * [taylor]: Taking taylor expansion of (- f n) in f 1.744 * [taylor]: Taking taylor expansion of f in f 1.744 * [taylor]: Taking taylor expansion of n in f 1.746 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 1.746 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.746 * [taylor]: Taking taylor expansion of -1 in f 1.746 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.746 * [taylor]: Taking taylor expansion of (+ n f) in f 1.746 * [taylor]: Taking taylor expansion of n in f 1.746 * [taylor]: Taking taylor expansion of f in f 1.746 * [taylor]: Taking taylor expansion of (- f n) in f 1.746 * [taylor]: Taking taylor expansion of f in f 1.746 * [taylor]: Taking taylor expansion of n in f 1.748 * [taylor]: Taking taylor expansion of 1 in n 1.748 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.748 * [taylor]: Taking taylor expansion of n in n 1.751 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 1.751 * [taylor]: Taking taylor expansion of 1/2 in n 1.751 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.751 * [taylor]: Taking taylor expansion of n in n 1.756 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 3)) in n 1.756 * [taylor]: Taking taylor expansion of 1/2 in n 1.756 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.756 * [taylor]: Taking taylor expansion of n in n 1.762 * [approximate]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 1.762 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.762 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.762 * [taylor]: Taking taylor expansion of -1 in n 1.762 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.762 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.762 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.762 * [taylor]: Taking taylor expansion of f in n 1.762 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.762 * [taylor]: Taking taylor expansion of n in n 1.762 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.762 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.762 * [taylor]: Taking taylor expansion of f in n 1.762 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.762 * [taylor]: Taking taylor expansion of n in n 1.766 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.766 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.766 * [taylor]: Taking taylor expansion of -1 in f 1.766 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.766 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.766 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.766 * [taylor]: Taking taylor expansion of f in f 1.766 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.767 * [taylor]: Taking taylor expansion of n in f 1.767 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.767 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.767 * [taylor]: Taking taylor expansion of f in f 1.767 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.767 * [taylor]: Taking taylor expansion of n in f 1.770 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.770 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.770 * [taylor]: Taking taylor expansion of -1 in f 1.770 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.770 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.770 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.770 * [taylor]: Taking taylor expansion of f in f 1.771 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.771 * [taylor]: Taking taylor expansion of n in f 1.771 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.771 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.771 * [taylor]: Taking taylor expansion of f in f 1.771 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.771 * [taylor]: Taking taylor expansion of n in f 1.774 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.774 * [taylor]: Taking taylor expansion of -1 in n 1.775 * [taylor]: Taking taylor expansion of (/ -1 (* (sqrt -1) n)) in n 1.775 * [taylor]: Taking taylor expansion of -1 in n 1.775 * [taylor]: Taking taylor expansion of (* (sqrt -1) n) in n 1.775 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.775 * [taylor]: Taking taylor expansion of -1 in n 1.776 * [taylor]: Taking taylor expansion of n in n 1.785 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) in n 1.785 * [taylor]: Taking taylor expansion of -1/2 in n 1.785 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)) in n 1.785 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) in n 1.785 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.785 * [taylor]: Taking taylor expansion of 2 in n 1.785 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.785 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.785 * [taylor]: Taking taylor expansion of n in n 1.786 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 2))) in n 1.786 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 2)) in n 1.786 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.786 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.786 * [taylor]: Taking taylor expansion of -1 in n 1.786 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.786 * [taylor]: Taking taylor expansion of n in n 1.790 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.790 * [taylor]: Taking taylor expansion of -1 in n 1.818 * [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 1.818 * [taylor]: Taking taylor expansion of -1/2 in n 1.818 * [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 1.819 * [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 1.819 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) in n 1.819 * [taylor]: Taking taylor expansion of 2 in n 1.819 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) in n 1.819 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 3)) in n 1.819 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.819 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.819 * [taylor]: Taking taylor expansion of -1 in n 1.819 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.819 * [taylor]: Taking taylor expansion of n in n 1.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3)))) in n 1.823 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) in n 1.823 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 4) (pow n 3)) in n 1.823 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 4) in n 1.823 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.823 * [taylor]: Taking taylor expansion of -1 in n 1.824 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.824 * [taylor]: Taking taylor expansion of n in n 1.829 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.829 * [taylor]: Taking taylor expansion of 2 in n 1.829 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.829 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.829 * [taylor]: Taking taylor expansion of n in n 1.830 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.830 * [taylor]: Taking taylor expansion of -1 in n 1.884 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 1.884 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.884 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.884 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.884 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.884 * [taylor]: Taking taylor expansion of f in n 1.884 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.884 * [taylor]: Taking taylor expansion of n in n 1.884 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.884 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.884 * [taylor]: Taking taylor expansion of n in n 1.885 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.885 * [taylor]: Taking taylor expansion of f in n 1.887 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.887 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.887 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.887 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.887 * [taylor]: Taking taylor expansion of f in f 1.888 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.888 * [taylor]: Taking taylor expansion of n in f 1.888 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.888 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.888 * [taylor]: Taking taylor expansion of n in f 1.888 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.888 * [taylor]: Taking taylor expansion of f in f 1.891 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.891 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.891 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.891 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.891 * [taylor]: Taking taylor expansion of f in f 1.891 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.891 * [taylor]: Taking taylor expansion of n in f 1.891 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.892 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.892 * [taylor]: Taking taylor expansion of n in f 1.892 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.892 * [taylor]: Taking taylor expansion of f in f 1.895 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.895 * [taylor]: Taking taylor expansion of -1 in n 1.899 * [taylor]: Taking taylor expansion of (/ -1 (* (sqrt -1) n)) in n 1.899 * [taylor]: Taking taylor expansion of -1 in n 1.899 * [taylor]: Taking taylor expansion of (* (sqrt -1) n) in n 1.899 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.899 * [taylor]: Taking taylor expansion of -1 in n 1.899 * [taylor]: Taking taylor expansion of n in n 1.907 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) in n 1.908 * [taylor]: Taking taylor expansion of -1/2 in n 1.908 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)) in n 1.908 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) in n 1.908 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.908 * [taylor]: Taking taylor expansion of 2 in n 1.908 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.908 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.908 * [taylor]: Taking taylor expansion of n in n 1.908 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 2))) in n 1.908 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 2)) in n 1.908 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.908 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.908 * [taylor]: Taking taylor expansion of -1 in n 1.909 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.909 * [taylor]: Taking taylor expansion of n in n 1.912 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.912 * [taylor]: Taking taylor expansion of -1 in n 1.938 * [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 1.938 * [taylor]: Taking taylor expansion of -1/2 in n 1.938 * [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 1.938 * [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 1.938 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) in n 1.938 * [taylor]: Taking taylor expansion of 2 in n 1.938 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) in n 1.938 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 3)) in n 1.939 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 1.939 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.939 * [taylor]: Taking taylor expansion of -1 in n 1.939 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.939 * [taylor]: Taking taylor expansion of n in n 1.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3)))) in n 1.943 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) in n 1.943 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 4) (pow n 3)) in n 1.943 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 4) in n 1.943 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.943 * [taylor]: Taking taylor expansion of -1 in n 1.943 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.944 * [taylor]: Taking taylor expansion of n in n 1.948 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.949 * [taylor]: Taking taylor expansion of 2 in n 1.949 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.949 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.949 * [taylor]: Taking taylor expansion of n in n 1.949 * [taylor]: Taking taylor expansion of (sqrt -1) in n 1.949 * [taylor]: Taking taylor expansion of -1 in n 2.006 * * * [progress]: simplifying candidates 2.015 * [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) 2.151 * * * [progress]: adding candidates to table 3.057 * [progress]: [Phase 3 of 3] Extracting. 3.058 * * [regime]: Finding splitpoints for: (# # # #) 3.058 * * * [regime-changes]: Trying 3 branch expressions: ((/ (neg (+ f n)) (- f n)) n f) 3.059 * * * * [regimes]: Trying to branch on (/ (neg (+ f n)) (- f n)) from (# # # #) 3.072 * * * * [regimes]: Trying to branch on n from (# # # #) 3.091 * * * * [regimes]: Trying to branch on f from (# # # #) 3.106 * * * [regime]: Found split indices: #