0.908 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.264 * * * [progress]: [2/2] Setting up program. 0.267 * [progress]: [Phase 2 of 3] Improving. 0.269 * [simplify]: Simplifying using # : (/ (- (+ f n)) (- f n)) 0.273 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.274 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.275 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.277 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.278 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.279 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.281 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.281 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.283 * * [progress]: iteration 1 / 4 0.283 * * * [progress]: picking best candidate 0.284 * * * * [pick]: Picked # 0.284 * * * [progress]: localizing error 0.292 * * * [progress]: generating rewritten candidates 0.292 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.316 * * * [progress]: generating series expansions 0.317 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.321 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.322 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.322 * [taylor]: Taking taylor expansion of -1 in n 0.322 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.322 * [taylor]: Taking taylor expansion of (+ n f) in n 0.322 * [taylor]: Taking taylor expansion of n in n 0.322 * [taylor]: Taking taylor expansion of f in n 0.322 * [taylor]: Taking taylor expansion of (- f n) in n 0.322 * [taylor]: Taking taylor expansion of f in n 0.322 * [taylor]: Taking taylor expansion of n in n 0.323 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.323 * [taylor]: Taking taylor expansion of -1 in f 0.323 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.323 * [taylor]: Taking taylor expansion of (+ n f) in f 0.323 * [taylor]: Taking taylor expansion of n in f 0.323 * [taylor]: Taking taylor expansion of f in f 0.323 * [taylor]: Taking taylor expansion of (- f n) in f 0.323 * [taylor]: Taking taylor expansion of f in f 0.323 * [taylor]: Taking taylor expansion of n in f 0.323 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.323 * [taylor]: Taking taylor expansion of -1 in f 0.323 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.323 * [taylor]: Taking taylor expansion of (+ n f) in f 0.323 * [taylor]: Taking taylor expansion of n in f 0.323 * [taylor]: Taking taylor expansion of f in f 0.323 * [taylor]: Taking taylor expansion of (- f n) in f 0.323 * [taylor]: Taking taylor expansion of f in f 0.323 * [taylor]: Taking taylor expansion of n in f 0.324 * [taylor]: Taking taylor expansion of 1 in n 0.326 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.326 * [taylor]: Taking taylor expansion of 2 in n 0.326 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.326 * [taylor]: Taking taylor expansion of n in n 0.329 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.329 * [taylor]: Taking taylor expansion of 2 in n 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.329 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.329 * [taylor]: Taking taylor expansion of n in n 0.335 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.335 * [taylor]: Taking taylor expansion of 2 in n 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.335 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.335 * [taylor]: Taking taylor expansion of n in n 0.341 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.341 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.341 * [taylor]: Taking taylor expansion of -1 in n 0.341 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.341 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.341 * [taylor]: Taking taylor expansion of f in n 0.341 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.341 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.341 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.341 * [taylor]: Taking taylor expansion of f in n 0.342 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.342 * [taylor]: Taking taylor expansion of n in n 0.343 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.343 * [taylor]: Taking taylor expansion of -1 in f 0.343 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.343 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.343 * [taylor]: Taking taylor expansion of f in f 0.343 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.343 * [taylor]: Taking taylor expansion of n in f 0.343 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.343 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.343 * [taylor]: Taking taylor expansion of f in f 0.343 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.344 * [taylor]: Taking taylor expansion of n in f 0.344 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.344 * [taylor]: Taking taylor expansion of -1 in f 0.344 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.344 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.344 * [taylor]: Taking taylor expansion of f in f 0.345 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.345 * [taylor]: Taking taylor expansion of n in f 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.345 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.345 * [taylor]: Taking taylor expansion of f in f 0.345 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.345 * [taylor]: Taking taylor expansion of n in f 0.346 * [taylor]: Taking taylor expansion of -1 in n 0.347 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.347 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.347 * [taylor]: Taking taylor expansion of 2 in n 0.348 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.348 * [taylor]: Taking taylor expansion of n in n 0.352 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.352 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.352 * [taylor]: Taking taylor expansion of 2 in n 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.352 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.352 * [taylor]: Taking taylor expansion of n in n 0.368 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.368 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.368 * [taylor]: Taking taylor expansion of 2 in n 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.368 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.368 * [taylor]: Taking taylor expansion of n in n 0.374 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.374 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.374 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.374 * [taylor]: Taking taylor expansion of f in n 0.374 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.374 * [taylor]: Taking taylor expansion of n in n 0.374 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.374 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.374 * [taylor]: Taking taylor expansion of n in n 0.375 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.375 * [taylor]: Taking taylor expansion of f in n 0.375 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.376 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.376 * [taylor]: Taking taylor expansion of f in f 0.376 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.376 * [taylor]: Taking taylor expansion of n in f 0.376 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.376 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.376 * [taylor]: Taking taylor expansion of n in f 0.376 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.376 * [taylor]: Taking taylor expansion of f in f 0.377 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.377 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.377 * [taylor]: Taking taylor expansion of f in f 0.377 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.378 * [taylor]: Taking taylor expansion of n in f 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.378 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.378 * [taylor]: Taking taylor expansion of n in f 0.378 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.378 * [taylor]: Taking taylor expansion of f in f 0.379 * [taylor]: Taking taylor expansion of -1 in n 0.380 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.381 * [taylor]: Taking taylor expansion of 2 in n 0.381 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.381 * [taylor]: Taking taylor expansion of n in n 0.384 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.384 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.384 * [taylor]: Taking taylor expansion of 2 in n 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.384 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.384 * [taylor]: Taking taylor expansion of n in n 0.391 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.391 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.391 * [taylor]: Taking taylor expansion of 2 in n 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.391 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.391 * [taylor]: Taking taylor expansion of n in n 0.397 * * * [progress]: simplifying candidates 0.398 * [simplify]: Simplifying using # : (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.404 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.408 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.421 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 0.460 * * [simplify]: iteration 3 : 5001 enodes (cost 743 ) 0.463 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ f n) (- n f) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (fma f f (- (* n n) (* f n))) (- f n)) (* (- f n) (- f n)) 1 -1 -1 0.464 * * * [progress]: adding candidates to table 0.613 * * [progress]: iteration 2 / 4 0.613 * * * [progress]: picking best candidate 0.622 * * * * [pick]: Picked # 0.622 * * * [progress]: localizing error 0.627 * * * [progress]: generating rewritten candidates 0.627 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.639 * * * [progress]: generating series expansions 0.639 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.639 * [approximate]: Taking taylor expansion of (/ (+ n f) (- n f)) in (f n) around 0 0.639 * [taylor]: Taking taylor expansion of (/ (+ n f) (- n f)) in n 0.639 * [taylor]: Taking taylor expansion of (+ n f) in n 0.639 * [taylor]: Taking taylor expansion of n in n 0.639 * [taylor]: Taking taylor expansion of f in n 0.639 * [taylor]: Taking taylor expansion of (- n f) in n 0.639 * [taylor]: Taking taylor expansion of n in n 0.639 * [taylor]: Taking taylor expansion of f in n 0.639 * [taylor]: Taking taylor expansion of (/ (+ n f) (- n f)) in f 0.639 * [taylor]: Taking taylor expansion of (+ n f) in f 0.639 * [taylor]: Taking taylor expansion of n in f 0.639 * [taylor]: Taking taylor expansion of f in f 0.639 * [taylor]: Taking taylor expansion of (- n f) in f 0.639 * [taylor]: Taking taylor expansion of n in f 0.639 * [taylor]: Taking taylor expansion of f in f 0.640 * [taylor]: Taking taylor expansion of (/ (+ n f) (- n f)) in f 0.640 * [taylor]: Taking taylor expansion of (+ n f) in f 0.640 * [taylor]: Taking taylor expansion of n in f 0.640 * [taylor]: Taking taylor expansion of f in f 0.640 * [taylor]: Taking taylor expansion of (- n f) in f 0.640 * [taylor]: Taking taylor expansion of n in f 0.640 * [taylor]: Taking taylor expansion of f in f 0.640 * [taylor]: Taking taylor expansion of 1 in n 0.641 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.641 * [taylor]: Taking taylor expansion of 2 in n 0.641 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.641 * [taylor]: Taking taylor expansion of n in n 0.643 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.643 * [taylor]: Taking taylor expansion of 2 in n 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.643 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.643 * [taylor]: Taking taylor expansion of n in n 0.648 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.648 * [taylor]: Taking taylor expansion of 2 in n 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.648 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.648 * [taylor]: Taking taylor expansion of n in n 0.657 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.657 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.657 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.657 * [taylor]: Taking taylor expansion of f in n 0.657 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.657 * [taylor]: Taking taylor expansion of n in n 0.657 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.657 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.657 * [taylor]: Taking taylor expansion of n in n 0.657 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.657 * [taylor]: Taking taylor expansion of f in n 0.658 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.658 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.658 * [taylor]: Taking taylor expansion of f in f 0.658 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.658 * [taylor]: Taking taylor expansion of n in f 0.658 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.658 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.658 * [taylor]: Taking taylor expansion of n in f 0.658 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.659 * [taylor]: Taking taylor expansion of f in f 0.660 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.660 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.660 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.660 * [taylor]: Taking taylor expansion of f in f 0.660 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.660 * [taylor]: Taking taylor expansion of n in f 0.660 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.660 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.660 * [taylor]: Taking taylor expansion of n in f 0.660 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.660 * [taylor]: Taking taylor expansion of f in f 0.662 * [taylor]: Taking taylor expansion of -1 in n 0.663 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.663 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.663 * [taylor]: Taking taylor expansion of 2 in n 0.663 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.663 * [taylor]: Taking taylor expansion of n in n 0.666 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.667 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.667 * [taylor]: Taking taylor expansion of 2 in n 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.667 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.667 * [taylor]: Taking taylor expansion of n in n 0.673 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.673 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.673 * [taylor]: Taking taylor expansion of 2 in n 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.673 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.673 * [taylor]: Taking taylor expansion of n in n 0.679 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.679 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.679 * [taylor]: Taking taylor expansion of -1 in n 0.679 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.679 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.679 * [taylor]: Taking taylor expansion of f in n 0.679 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.679 * [taylor]: Taking taylor expansion of n in n 0.679 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.679 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.679 * [taylor]: Taking taylor expansion of f in n 0.680 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.680 * [taylor]: Taking taylor expansion of n in n 0.681 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.681 * [taylor]: Taking taylor expansion of -1 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 0.681 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.681 * [taylor]: Taking taylor expansion of n in f 0.681 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.681 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.681 * [taylor]: Taking taylor expansion of f in f 0.681 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.681 * [taylor]: Taking taylor expansion of n in f 0.682 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.682 * [taylor]: Taking taylor expansion of -1 in f 0.682 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 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 0.683 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.683 * [taylor]: Taking taylor expansion of n in f 0.683 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.683 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.683 * [taylor]: Taking taylor expansion of f in f 0.683 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.683 * [taylor]: Taking taylor expansion of n in f 0.684 * [taylor]: Taking taylor expansion of -1 in n 0.685 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.685 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.685 * [taylor]: Taking taylor expansion of 2 in n 0.685 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.685 * [taylor]: Taking taylor expansion of n in n 0.689 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.689 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.689 * [taylor]: Taking taylor expansion of 2 in n 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.690 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.690 * [taylor]: Taking taylor expansion of n in n 0.697 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.697 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.697 * [taylor]: Taking taylor expansion of 2 in n 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.697 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.697 * [taylor]: Taking taylor expansion of n in n 0.703 * * * [progress]: simplifying candidates 0.703 * [simplify]: Simplifying using # : (expm1 (/ (+ f n) (- n f))) (log1p (/ (+ f n) (- n f))) (- (log (+ f n)) (log (- n f))) (log (/ (+ f n) (- n f))) (exp (/ (+ f n) (- n f))) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (- n f) (- n f)) (- n f))) (* (cbrt (/ (+ f n) (- n f))) (cbrt (/ (+ f n) (- n f)))) (cbrt (/ (+ f n) (- n f))) (* (* (/ (+ f n) (- n f)) (/ (+ f n) (- n f))) (/ (+ f n) (- n f))) (sqrt (/ (+ f n) (- n f))) (sqrt (/ (+ f n) (- n f))) (- (+ f n)) (- (- n f)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- n f)) (cbrt (- n f)))) (/ (cbrt (+ f n)) (cbrt (- n f))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- n f))) (/ (cbrt (+ f n)) (sqrt (- n f))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (cbrt (+ f n)) (- n f)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt n) (sqrt f))) (/ (cbrt (+ f n)) (- (sqrt n) (sqrt f))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (cbrt (+ f n)) (- n f)) (/ (sqrt (+ f n)) (* (cbrt (- n f)) (cbrt (- n f)))) (/ (sqrt (+ f n)) (cbrt (- n f))) (/ (sqrt (+ f n)) (sqrt (- n f))) (/ (sqrt (+ f n)) (sqrt (- n f))) (/ (sqrt (+ f n)) 1) (/ (sqrt (+ f n)) (- n f)) (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f))) (/ (sqrt (+ f n)) (- (sqrt n) (sqrt f))) (/ (sqrt (+ f n)) 1) (/ (sqrt (+ f n)) (- n f)) (/ 1 (* (cbrt (- n f)) (cbrt (- n f)))) (/ (+ f n) (cbrt (- n f))) (/ 1 (sqrt (- n f))) (/ (+ f n) (sqrt (- n f))) (/ 1 1) (/ (+ f n) (- n f)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt n) (sqrt f))) (/ 1 1) (/ (+ f n) (- n f)) (/ 1 (* (cbrt (- n f)) (cbrt (- n f)))) (/ (+ f n) (cbrt (- n f))) (/ 1 (sqrt (- n f))) (/ (+ f n) (sqrt (- n f))) (/ 1 1) (/ (+ f n) (- n f)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt n) (sqrt f))) (/ 1 1) (/ (+ f n) (- n f)) (/ 1 (- n f)) (/ (- n f) (+ f n)) (/ (+ f n) (* (cbrt (- n f)) (cbrt (- n f)))) (/ (+ f n) (sqrt (- n f))) (/ (+ f n) 1) (/ (+ f n) (+ (sqrt n) (sqrt f))) (/ (+ f n) 1) (/ (- n f) (cbrt (+ f n))) (/ (- n f) (sqrt (+ f n))) (/ (- n f) (+ f n)) (/ (- n f) (+ f n)) (/ (+ f n) (- (pow n 3) (pow f 3))) (/ (+ f n) (- (* n n) (* f f))) (* (- n f) (+ (* f f) (- (* n n) (* f n)))) (* (- n f) (- f n)) 1 -1 -1 0.707 * * [simplify]: iteration 0 : 177 enodes (cost 296 ) 0.710 * * [simplify]: iteration 1 : 537 enodes (cost 282 ) 0.718 * * [simplify]: iteration 2 : 1556 enodes (cost 278 ) 0.743 * * [simplify]: iteration 3 : 5002 enodes (cost 278 ) 0.745 * [simplify]: Simplified to: (expm1 (/ (+ f n) (- n f))) (log1p (/ (+ f n) (- n f))) (log (/ (+ f n) (- n f))) (log (/ (+ f n) (- n f))) (exp (/ (+ f n) (- n f))) (pow (/ (+ f n) (- n f)) 3) (* (cbrt (/ (+ f n) (- n f))) (cbrt (/ (+ f n) (- n f)))) (cbrt (/ (+ f n) (- n f))) (pow (/ (+ f n) (- n f)) 3) (sqrt (/ (+ f n) (- n f))) (sqrt (/ (+ f n) (- n f))) (- (+ f n)) (- f n) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- n f)) (cbrt (- n f)))) (/ (cbrt (+ f n)) (cbrt (- n f))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- n f))) (/ (cbrt (+ f n)) (sqrt (- n f))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ f n)) (- n f)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt n) (sqrt f))) (/ (cbrt (+ f n)) (- (sqrt n) (sqrt f))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ f n)) (- n f)) (/ (sqrt (+ f n)) (* (cbrt (- n f)) (cbrt (- n f)))) (/ (sqrt (+ f n)) (cbrt (- n f))) (/ (sqrt (+ f n)) (sqrt (- n f))) (/ (sqrt (+ f n)) (sqrt (- n f))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (- n f)) (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f))) (/ (sqrt (+ f n)) (- (sqrt n) (sqrt f))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (- n f)) (/ 1 (* (cbrt (- n f)) (cbrt (- n f)))) (/ (+ f n) (cbrt (- n f))) (/ 1 (sqrt (- n f))) (/ (+ f n) (sqrt (- n f))) 1 (/ (+ f n) (- n f)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt n) (sqrt f))) 1 (/ (+ f n) (- n f)) (/ 1 (* (cbrt (- n f)) (cbrt (- n f)))) (/ (+ f n) (cbrt (- n f))) (/ 1 (sqrt (- n f))) (/ (+ f n) (sqrt (- n f))) 1 (/ (+ f n) (- n f)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt n) (sqrt f))) 1 (/ (+ f n) (- n f)) (/ 1 (- n f)) (/ (- n f) (+ f n)) (/ (+ f n) (* (cbrt (- n f)) (cbrt (- n f)))) (/ (+ f n) (sqrt (- n f))) (+ f n) (/ (+ f n) (+ (sqrt n) (sqrt f))) (+ f n) (/ (- n f) (cbrt (+ f n))) (/ (- n f) (sqrt (+ f n))) (/ (- n f) (+ f n)) (/ (- n f) (+ f n)) (/ (+ f n) (- (pow n 3) (pow f 3))) (/ 1 (- n f)) (* (fma f f (- (* n n) (* f n))) (- n f)) (* (- n f) (- f n)) 1 -1 -1 0.745 * * * [progress]: adding candidates to table 0.823 * * [progress]: iteration 3 / 4 0.823 * * * [progress]: picking best candidate 0.831 * * * * [pick]: Picked # 0.832 * * * [progress]: localizing error 0.838 * * * [progress]: generating rewritten candidates 0.838 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.849 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.892 * * * [progress]: generating series expansions 0.892 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.892 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 0.892 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 0.892 * [taylor]: Taking taylor expansion of (- f n) in n 0.892 * [taylor]: Taking taylor expansion of f in n 0.892 * [taylor]: Taking taylor expansion of n in n 0.892 * [taylor]: Taking taylor expansion of (+ n f) in n 0.892 * [taylor]: Taking taylor expansion of n in n 0.893 * [taylor]: Taking taylor expansion of f in n 0.893 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.893 * [taylor]: Taking taylor expansion of (- f n) in f 0.893 * [taylor]: Taking taylor expansion of f in f 0.893 * [taylor]: Taking taylor expansion of n in f 0.893 * [taylor]: Taking taylor expansion of (+ n f) in f 0.893 * [taylor]: Taking taylor expansion of n in f 0.893 * [taylor]: Taking taylor expansion of f in f 0.893 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.893 * [taylor]: Taking taylor expansion of (- f n) in f 0.893 * [taylor]: Taking taylor expansion of f in f 0.893 * [taylor]: Taking taylor expansion of n in f 0.893 * [taylor]: Taking taylor expansion of (+ n f) in f 0.893 * [taylor]: Taking taylor expansion of n in f 0.893 * [taylor]: Taking taylor expansion of f in f 0.893 * [taylor]: Taking taylor expansion of -1 in n 0.894 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.894 * [taylor]: Taking taylor expansion of 2 in n 0.894 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.894 * [taylor]: Taking taylor expansion of n in n 0.896 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.896 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.896 * [taylor]: Taking taylor expansion of 2 in n 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.896 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.896 * [taylor]: Taking taylor expansion of n in n 0.901 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.901 * [taylor]: Taking taylor expansion of 2 in n 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.901 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.901 * [taylor]: Taking taylor expansion of n in n 0.906 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 0.907 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 0.907 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.907 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.907 * [taylor]: Taking taylor expansion of f in n 0.907 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.907 * [taylor]: Taking taylor expansion of n in n 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.907 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.907 * [taylor]: Taking taylor expansion of f in n 0.907 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.907 * [taylor]: Taking taylor expansion of n in n 0.908 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.908 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.908 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.908 * [taylor]: Taking taylor expansion of f in f 0.908 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.908 * [taylor]: Taking taylor expansion of n in f 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.909 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.909 * [taylor]: Taking taylor expansion of f in f 0.909 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.909 * [taylor]: Taking taylor expansion of n in f 0.910 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.910 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.910 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.910 * [taylor]: Taking taylor expansion of f in f 0.910 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.910 * [taylor]: Taking taylor expansion of n in f 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.910 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.910 * [taylor]: Taking taylor expansion of f in f 0.910 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.910 * [taylor]: Taking taylor expansion of n in f 0.911 * [taylor]: Taking taylor expansion of 1 in n 0.912 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.912 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.912 * [taylor]: Taking taylor expansion of 2 in n 0.912 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.912 * [taylor]: Taking taylor expansion of n in n 0.916 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.916 * [taylor]: Taking taylor expansion of 2 in n 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.916 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.916 * [taylor]: Taking taylor expansion of n in n 0.922 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.922 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.922 * [taylor]: Taking taylor expansion of 2 in n 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.922 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.922 * [taylor]: Taking taylor expansion of n in n 0.928 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 0.928 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 0.928 * [taylor]: Taking taylor expansion of -1 in n 0.928 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 0.928 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.928 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.928 * [taylor]: Taking taylor expansion of n in n 0.928 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.928 * [taylor]: Taking taylor expansion of f in n 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.929 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.929 * [taylor]: Taking taylor expansion of f in n 0.929 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.929 * [taylor]: Taking taylor expansion of n in n 0.930 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.930 * [taylor]: Taking taylor expansion of -1 in f 0.930 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.930 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.930 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.930 * [taylor]: Taking taylor expansion of n in f 0.930 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.930 * [taylor]: Taking taylor expansion of f in f 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.930 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.930 * [taylor]: Taking taylor expansion of f in f 0.930 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.930 * [taylor]: Taking taylor expansion of n in f 0.931 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.931 * [taylor]: Taking taylor expansion of -1 in f 0.931 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.931 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.931 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.931 * [taylor]: Taking taylor expansion of n in f 0.931 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.931 * [taylor]: Taking taylor expansion of f in f 0.932 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.932 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.932 * [taylor]: Taking taylor expansion of f in f 0.932 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.932 * [taylor]: Taking taylor expansion of n in f 0.933 * [taylor]: Taking taylor expansion of 1 in n 0.935 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.935 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.935 * [taylor]: Taking taylor expansion of 2 in n 0.935 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.935 * [taylor]: Taking taylor expansion of n in n 0.943 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.944 * [taylor]: Taking taylor expansion of 2 in n 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.944 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.944 * [taylor]: Taking taylor expansion of n in n 0.951 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.951 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.951 * [taylor]: Taking taylor expansion of 2 in n 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.951 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.951 * [taylor]: Taking taylor expansion of n in n 0.956 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.956 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.956 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.956 * [taylor]: Taking taylor expansion of -1 in n 0.957 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.957 * [taylor]: Taking taylor expansion of (+ n f) in n 0.957 * [taylor]: Taking taylor expansion of n in n 0.957 * [taylor]: Taking taylor expansion of f in n 0.957 * [taylor]: Taking taylor expansion of (- f n) in n 0.957 * [taylor]: Taking taylor expansion of f in n 0.957 * [taylor]: Taking taylor expansion of n in n 0.957 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.957 * [taylor]: Taking taylor expansion of -1 in f 0.957 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.957 * [taylor]: Taking taylor expansion of (+ n f) in f 0.957 * [taylor]: Taking taylor expansion of n in f 0.957 * [taylor]: Taking taylor expansion of f in f 0.957 * [taylor]: Taking taylor expansion of (- f n) in f 0.957 * [taylor]: Taking taylor expansion of f in f 0.957 * [taylor]: Taking taylor expansion of n in f 0.957 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.957 * [taylor]: Taking taylor expansion of -1 in f 0.957 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.957 * [taylor]: Taking taylor expansion of (+ n f) in f 0.957 * [taylor]: Taking taylor expansion of n in f 0.957 * [taylor]: Taking taylor expansion of f in f 0.957 * [taylor]: Taking taylor expansion of (- f n) in f 0.957 * [taylor]: Taking taylor expansion of f in f 0.957 * [taylor]: Taking taylor expansion of n in f 0.958 * [taylor]: Taking taylor expansion of 1 in n 0.959 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.959 * [taylor]: Taking taylor expansion of 2 in n 0.959 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.959 * [taylor]: Taking taylor expansion of n in n 0.961 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.961 * [taylor]: Taking taylor expansion of 2 in n 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.961 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.961 * [taylor]: Taking taylor expansion of n in n 0.966 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.966 * [taylor]: Taking taylor expansion of 2 in n 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.966 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.966 * [taylor]: Taking taylor expansion of n in n 0.972 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.972 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.972 * [taylor]: Taking taylor expansion of -1 in n 0.972 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.972 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.972 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.972 * [taylor]: Taking taylor expansion of f in n 0.972 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.972 * [taylor]: Taking taylor expansion of n in n 0.972 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.972 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.972 * [taylor]: Taking taylor expansion of f in n 0.973 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.973 * [taylor]: Taking taylor expansion of n in n 0.974 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.974 * [taylor]: Taking taylor expansion of -1 in f 0.974 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.974 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.974 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.974 * [taylor]: Taking taylor expansion of f in f 0.974 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.974 * [taylor]: Taking taylor expansion of n in f 0.974 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.974 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.974 * [taylor]: Taking taylor expansion of f in f 0.975 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.975 * [taylor]: Taking taylor expansion of n in f 0.975 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.975 * [taylor]: Taking taylor expansion of -1 in f 0.976 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.976 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.976 * [taylor]: Taking taylor expansion of f in f 0.976 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.976 * [taylor]: Taking taylor expansion of n in f 0.976 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.976 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.976 * [taylor]: Taking taylor expansion of f in f 0.976 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.976 * [taylor]: Taking taylor expansion of n in f 0.977 * [taylor]: Taking taylor expansion of -1 in n 0.979 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.979 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.979 * [taylor]: Taking taylor expansion of 2 in n 0.979 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.979 * [taylor]: Taking taylor expansion of n in n 0.983 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.983 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.983 * [taylor]: Taking taylor expansion of 2 in n 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.983 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.983 * [taylor]: Taking taylor expansion of n in n 0.990 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.990 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.990 * [taylor]: Taking taylor expansion of 2 in n 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.990 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.990 * [taylor]: Taking taylor expansion of n in n 0.996 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.996 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.996 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.996 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.996 * [taylor]: Taking taylor expansion of f in n 0.996 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.996 * [taylor]: Taking taylor expansion of n in n 0.996 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.996 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.997 * [taylor]: Taking taylor expansion of n in n 0.997 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.997 * [taylor]: Taking taylor expansion of f in n 0.998 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.998 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.998 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.998 * [taylor]: Taking taylor expansion of f in f 0.998 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.998 * [taylor]: Taking taylor expansion of n in f 0.998 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.998 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.998 * [taylor]: Taking taylor expansion of n in f 0.998 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.998 * [taylor]: Taking taylor expansion of f in f 0.999 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.999 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.999 * [taylor]: Taking taylor expansion of f in f 0.999 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.999 * [taylor]: Taking taylor expansion of n in f 1.000 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.000 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.000 * [taylor]: Taking taylor expansion of n in f 1.000 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.000 * [taylor]: Taking taylor expansion of f in f 1.001 * [taylor]: Taking taylor expansion of -1 in n 1.002 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.002 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.002 * [taylor]: Taking taylor expansion of 2 in n 1.002 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.002 * [taylor]: Taking taylor expansion of n in n 1.006 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.006 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.006 * [taylor]: Taking taylor expansion of 2 in n 1.006 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.006 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.006 * [taylor]: Taking taylor expansion of n in n 1.013 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.013 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.013 * [taylor]: Taking taylor expansion of 2 in n 1.013 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.013 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.013 * [taylor]: Taking taylor expansion of n in n 1.019 * * * [progress]: simplifying candidates 1.027 * [simplify]: Simplifying using # : (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (expm1 (/ (- 1) (/ (- f n) (+ f n)))) (log1p (/ (- 1) (/ (- f n) (+ f n)))) (- (log (- 1)) (- (log (- f n)) (log (+ f n)))) (- (log (- 1)) (log (/ (- f n) (+ f n)))) (log (/ (- 1) (/ (- f n) (+ f n)))) (exp (/ (- 1) (/ (- f n) (+ f n)))) (/ (* (* (- 1) (- 1)) (- 1)) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* (- 1) (- 1)) (- 1)) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))) (* (cbrt (/ (- 1) (/ (- f n) (+ f n)))) (cbrt (/ (- 1) (/ (- f n) (+ f n))))) (cbrt (/ (- 1) (/ (- f n) (+ f n)))) (* (* (/ (- 1) (/ (- f n) (+ f n))) (/ (- 1) (/ (- f n) (+ f n)))) (/ (- 1) (/ (- f n) (+ f n)))) (sqrt (/ (- 1) (/ (- f n) (+ f n)))) (sqrt (/ (- 1) (/ (- f n) (+ f n)))) (- (- 1)) (- (/ (- f n) (+ f n))) (/ 0 (/ (- f n) (+ f n))) (/ 1 (/ (- f n) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt (- 1)) (cbrt (/ (- f n) (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (sqrt (/ (- f n) (+ f n)))) (/ (cbrt (- 1)) (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (- 1)) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (cbrt (- 1)) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt (- 1)) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt (- 1)) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (- 1)) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (cbrt (- 1)) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (sqrt (- f n)) 1)) (/ (cbrt (- 1)) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (sqrt (- f n)) 1)) (/ (cbrt (- 1)) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (- 1)) (/ (- f n) (cbrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ 1 (sqrt (+ f n)))) (/ (cbrt (- 1)) (/ (- f n) (sqrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ 1 1)) (/ (cbrt (- 1)) (/ (- f n) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ 1 1)) (/ (cbrt (- 1)) (/ (- f n) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (- 1)) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (cbrt (- 1)) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (cbrt (- 1)) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (* (cbrt 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(sqrt (- f n)) (cbrt (+ f n)))) (/ (- (* (cbrt 1) (cbrt 1))) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (cbrt 1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (- (* (cbrt 1) (cbrt 1))) (sqrt (- f n))) (/ (cbrt 1) (/ (sqrt (- f n)) (+ f n))) (/ (- (* (cbrt 1) (cbrt 1))) (sqrt (- f n))) (/ (cbrt 1) (/ (sqrt (- f n)) (+ f n))) (* (- (* (cbrt 1) (cbrt 1))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt 1) (/ (- f n) (cbrt (+ f n)))) (* (- (* (cbrt 1) (cbrt 1))) (sqrt (+ f n))) (/ (cbrt 1) (/ (- f n) (sqrt (+ f n)))) (- (* (cbrt 1) (cbrt 1))) (/ (cbrt 1) (/ (- f n) (+ f n))) (- (* (cbrt 1) (cbrt 1))) (/ (cbrt 1) (/ (- f n) (+ f n))) (/ (- (* (cbrt 1) (cbrt 1))) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt 1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (- (* (cbrt 1) (cbrt 1))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (cbrt 1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (- (* (cbrt 1) (cbrt 1))) (+ (sqrt f) (sqrt n))) (/ (cbrt 1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (- (* (cbrt 1) (cbrt 1))) (+ (sqrt f) (sqrt n))) (/ (cbrt 1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (* (- (* (cbrt 1) (cbrt 1))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt 1) (/ (- f n) (cbrt (+ f n)))) (* (- (* (cbrt 1) (cbrt 1))) (sqrt (+ f n))) (/ (cbrt 1) (/ (- f n) (sqrt (+ f n)))) (- (* (cbrt 1) (cbrt 1))) (/ (cbrt 1) (/ (- f n) (+ f n))) (- (* (cbrt 1) (cbrt 1))) (/ (cbrt 1) (/ (- f n) (+ f n))) (- (* (cbrt 1) (cbrt 1))) (/ (cbrt 1) (/ (- f n) (+ f n))) (/ (- (* (cbrt 1) (cbrt 1))) (- f n)) (* (cbrt 1) (+ f n)) (/ (- (* (cbrt 1) (cbrt 1))) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (cbrt 1) (+ (* f f) (- (* n n) (* f n)))) (/ (- (* (cbrt 1) (cbrt 1))) (/ (- f n) (- (* f f) (* n n)))) (/ (cbrt 1) (- f n)) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ 1 (cbrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (* 1 (cbrt (+ f n))) (cbrt (- f n))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ 1 (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ 1 (/ (- f n) (cbrt (+ f n)))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (* 1 (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ 1 (/ (- f n) (cbrt (+ f n)))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (/ -1 (- f n)) (+ f n) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ 1 (fma n (- n f) (* f f))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ 1 (- f n)) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ 1 (cbrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (* 1 (cbrt (+ f n))) (cbrt (- f n))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ 1 (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ 1 (/ (- f n) (cbrt (+ f n)))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (* 1 (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ 1 (/ (- f n) (cbrt (+ f n)))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (/ -1 (- f n)) (+ f n) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ 1 (fma n (- n f) (* f f))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ 1 (- f n)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (- (cbrt 1)) (cbrt (/ (- f n) (+ f n)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- f n) (+ f n)))) (/ (- (cbrt 1)) (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- (cbrt 1)) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (- (cbrt 1)) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (cbrt 1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (cbrt 1))) (/ (- (cbrt 1)) (/ (cbrt (- f n)) (+ f n))) (/ (cbrt 1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (cbrt 1))) (/ (- (cbrt 1)) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- (cbrt 1)) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (- (cbrt 1)) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (cbrt 1) (/ (sqrt (- f n)) (cbrt 1))) (/ (- (cbrt 1)) (/ (sqrt (- f n)) (+ f n))) (/ (cbrt 1) (/ (sqrt (- f n)) (cbrt 1))) (/ (- (cbrt 1)) (/ (sqrt (- f n)) (+ f n))) (* (* (cbrt 1) (cbrt 1)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (cbrt 1)) (/ (- f n) (cbrt (+ f n)))) (* (* (cbrt 1) (cbrt 1)) (sqrt (+ f n))) (/ (- (cbrt 1)) (/ (- f n) (sqrt (+ f n)))) (* (cbrt 1) (cbrt 1)) (/ (- (cbrt 1)) (/ (- f n) (+ f n))) (* (cbrt 1) (cbrt 1)) (/ (- (cbrt 1)) (/ (- f n) (+ f n))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- (cbrt 1)) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (- (cbrt 1)) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (cbrt 1) (/ (+ (sqrt f) (sqrt n)) (cbrt 1))) (/ (- (cbrt 1)) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (cbrt 1) (/ (+ (sqrt f) (sqrt n)) (cbrt 1))) (/ (- (cbrt 1)) (/ (- (sqrt f) (sqrt n)) (+ f n))) (* (* (cbrt 1) (cbrt 1)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (cbrt 1)) (/ (- f n) (cbrt (+ f n)))) (* (* (cbrt 1) (cbrt 1)) (sqrt (+ f n))) (/ (- (cbrt 1)) (/ (- f n) (sqrt (+ f n)))) (* (cbrt 1) (cbrt 1)) (/ (- (cbrt 1)) (/ (- f n) (+ f n))) (* (cbrt 1) (cbrt 1)) (/ (- (cbrt 1)) (/ (- f n) (+ f n))) (* (cbrt 1) (cbrt 1)) (/ (- (cbrt 1)) (/ (- f n) (+ f n))) (/ (* (cbrt 1) (cbrt 1)) (- f n)) (* (- (cbrt 1)) (+ f n)) (/ (* (cbrt 1) (cbrt 1)) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (- (cbrt 1)) (fma n (- n f) (* f f))) (/ (* (cbrt 1) (cbrt 1)) (/ (- f n) (- (* f f) (* n n)))) (/ (- (cbrt 1)) (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* -1 (cbrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (sqrt (+ f n)) (/ -1 (/ (- f n) (sqrt (+ f n)))) 1 (/ (- (+ f n)) (- f n)) 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 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (- (+ f n)) (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (fma n (- n f) (* f f))) (/ (- (* f f) (* n n)) (- f n)) (/ -1 (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* -1 (cbrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (sqrt (+ f n)) (/ -1 (/ (- f n) (sqrt (+ f n)))) 1 (/ (- (+ f n)) (- f n)) 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 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (- (+ f n)) (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (fma n (- n f) (* f f))) (/ (- (* f f) (* n n)) (- f n)) (/ -1 (- f n)) (/ (+ f n) (- f n)) (/ (/ (- f n) -1) (+ f n)) (/ (+ f n) (- f n)) (/ -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))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (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))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (sqrt (+ f n))) -1 -1 -1 (/ -1 (- f n)) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) (cbrt (- 1))) (/ (/ (- f n) (+ f n)) (sqrt (- 1))) (/ (/ (- f n) -1) (+ f n)) (/ (- f n) (+ f n)) (/ (/ (- f n) (+ f n)) (cbrt 1)) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (/ (- f n) (+ f n)) (- (cbrt 1))) (/ (/ (- f n) -1) (+ f n)) (/ (/ (- f n) -1) (+ f n)) (/ -1 (- f n)) -1 1 1 1 -1 -1 1.079 * * * [progress]: adding candidates to table 1.529 * * [progress]: iteration 4 / 4 1.529 * * * [progress]: picking best candidate 1.536 * * * * [pick]: Picked # 1.536 * * * [progress]: localizing error 1.543 * * * [progress]: generating rewritten candidates 1.543 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.566 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.574 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.618 * * * [progress]: generating series expansions 1.618 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.618 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.618 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.618 * [taylor]: Taking taylor expansion of -1 in n 1.618 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.618 * [taylor]: Taking taylor expansion of (+ n f) in n 1.618 * [taylor]: Taking taylor expansion of n in n 1.618 * [taylor]: Taking taylor expansion of f in n 1.618 * [taylor]: Taking taylor expansion of (- f n) in n 1.618 * [taylor]: Taking taylor expansion of f in n 1.618 * [taylor]: Taking taylor expansion of n in n 1.619 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.619 * [taylor]: Taking taylor expansion of -1 in f 1.619 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.619 * [taylor]: Taking taylor expansion of (+ n f) in f 1.619 * [taylor]: Taking taylor expansion of n in f 1.619 * [taylor]: Taking taylor expansion of f in f 1.619 * [taylor]: Taking taylor expansion of (- f n) in f 1.619 * [taylor]: Taking taylor expansion of f in f 1.619 * [taylor]: Taking taylor expansion of n in f 1.619 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.619 * [taylor]: Taking taylor expansion of -1 in f 1.619 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.619 * [taylor]: Taking taylor expansion of (+ n f) in f 1.619 * [taylor]: Taking taylor expansion of n in f 1.619 * [taylor]: Taking taylor expansion of f in f 1.619 * [taylor]: Taking taylor expansion of (- f n) in f 1.619 * [taylor]: Taking taylor expansion of f in f 1.619 * [taylor]: Taking taylor expansion of n in f 1.620 * [taylor]: Taking taylor expansion of 1 in n 1.621 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.621 * [taylor]: Taking taylor expansion of 2 in n 1.621 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.621 * [taylor]: Taking taylor expansion of n in n 1.623 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.623 * [taylor]: Taking taylor expansion of 2 in n 1.623 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.623 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.623 * [taylor]: Taking taylor expansion of n in n 1.628 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.628 * [taylor]: Taking taylor expansion of 2 in n 1.628 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.628 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.628 * [taylor]: Taking taylor expansion of n in n 1.633 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.634 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.634 * [taylor]: Taking taylor expansion of -1 in n 1.634 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.634 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.634 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.634 * [taylor]: Taking taylor expansion of f in n 1.634 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.634 * [taylor]: Taking taylor expansion of n in n 1.634 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.634 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.634 * [taylor]: Taking taylor expansion of f in n 1.634 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.634 * [taylor]: Taking taylor expansion of n in n 1.635 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.635 * [taylor]: Taking taylor expansion of -1 in f 1.636 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.636 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.636 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.636 * [taylor]: Taking taylor expansion of f in f 1.641 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.641 * [taylor]: Taking taylor expansion of n in f 1.641 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.641 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.642 * [taylor]: Taking taylor expansion of f in f 1.642 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.642 * [taylor]: Taking taylor expansion of n in f 1.643 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.643 * [taylor]: Taking taylor expansion of -1 in f 1.643 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.643 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.643 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.643 * [taylor]: Taking taylor expansion of f in f 1.643 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.643 * [taylor]: Taking taylor expansion of n in f 1.643 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.643 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.643 * [taylor]: Taking taylor expansion of f in f 1.643 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.643 * [taylor]: Taking taylor expansion of n in f 1.644 * [taylor]: Taking taylor expansion of -1 in n 1.646 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.646 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.646 * [taylor]: Taking taylor expansion of 2 in n 1.646 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.646 * [taylor]: Taking taylor expansion of n in n 1.650 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.650 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.650 * [taylor]: Taking taylor expansion of 2 in n 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.650 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.650 * [taylor]: Taking taylor expansion of n in n 1.657 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.657 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.657 * [taylor]: Taking taylor expansion of 2 in n 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.657 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.657 * [taylor]: Taking taylor expansion of n in n 1.663 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.663 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.663 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.663 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.663 * [taylor]: Taking taylor expansion of f in n 1.663 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.663 * [taylor]: Taking taylor expansion of n in n 1.663 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.663 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.663 * [taylor]: Taking taylor expansion of n in n 1.663 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.663 * [taylor]: Taking taylor expansion of f in n 1.664 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.664 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.664 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.664 * [taylor]: Taking taylor expansion of f in f 1.665 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.665 * [taylor]: Taking taylor expansion of n in f 1.665 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.665 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.665 * [taylor]: Taking taylor expansion of n in f 1.665 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.665 * [taylor]: Taking taylor expansion of f in f 1.666 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.666 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.666 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.666 * [taylor]: Taking taylor expansion of f in f 1.666 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.666 * [taylor]: Taking taylor expansion of n in f 1.666 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.666 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.666 * [taylor]: Taking taylor expansion of n in f 1.666 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.666 * [taylor]: Taking taylor expansion of f in f 1.668 * [taylor]: Taking taylor expansion of -1 in n 1.669 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.669 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.669 * [taylor]: Taking taylor expansion of 2 in n 1.669 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.669 * [taylor]: Taking taylor expansion of n in n 1.672 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.673 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.673 * [taylor]: Taking taylor expansion of 2 in n 1.673 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.673 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.673 * [taylor]: Taking taylor expansion of n in n 1.679 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.679 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.679 * [taylor]: Taking taylor expansion of 2 in n 1.679 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.679 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.680 * [taylor]: Taking taylor expansion of n in n 1.685 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.685 * [approximate]: Taking taylor expansion of (/ -1 (- f n)) in (f n) around 0 1.685 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in n 1.685 * [taylor]: Taking taylor expansion of -1 in n 1.685 * [taylor]: Taking taylor expansion of (- f n) in n 1.685 * [taylor]: Taking taylor expansion of f in n 1.685 * [taylor]: Taking taylor expansion of n in n 1.686 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 1.686 * [taylor]: Taking taylor expansion of -1 in f 1.686 * [taylor]: Taking taylor expansion of (- f n) in f 1.686 * [taylor]: Taking taylor expansion of f in f 1.686 * [taylor]: Taking taylor expansion of n in f 1.686 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 1.686 * [taylor]: Taking taylor expansion of -1 in f 1.686 * [taylor]: Taking taylor expansion of (- f n) in f 1.686 * [taylor]: Taking taylor expansion of f in f 1.686 * [taylor]: Taking taylor expansion of n in f 1.686 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.686 * [taylor]: Taking taylor expansion of n in n 1.687 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.687 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.687 * [taylor]: Taking taylor expansion of n in n 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.690 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.690 * [taylor]: Taking taylor expansion of n in n 1.697 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 1.697 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in n 1.697 * [taylor]: Taking taylor expansion of -1 in n 1.697 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.697 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.697 * [taylor]: Taking taylor expansion of f in n 1.697 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.697 * [taylor]: Taking taylor expansion of n in n 1.698 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 1.698 * [taylor]: Taking taylor expansion of -1 in f 1.698 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.698 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.698 * [taylor]: Taking taylor expansion of f in f 1.698 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.698 * [taylor]: Taking taylor expansion of n in f 1.698 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 1.699 * [taylor]: Taking taylor expansion of -1 in f 1.699 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.699 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.699 * [taylor]: Taking taylor expansion of f in f 1.699 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.699 * [taylor]: Taking taylor expansion of n in f 1.699 * [taylor]: Taking taylor expansion of -1 in n 1.700 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 1.700 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.700 * [taylor]: Taking taylor expansion of n in n 1.703 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 1.703 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.703 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.703 * [taylor]: Taking taylor expansion of n in n 1.707 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.708 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in n 1.708 * [taylor]: Taking taylor expansion of -1 in n 1.708 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.708 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.708 * [taylor]: Taking taylor expansion of n in n 1.708 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.708 * [taylor]: Taking taylor expansion of f in n 1.708 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 1.708 * [taylor]: Taking taylor expansion of -1 in f 1.708 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.708 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.708 * [taylor]: Taking taylor expansion of n in f 1.709 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.709 * [taylor]: Taking taylor expansion of f in f 1.709 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 1.709 * [taylor]: Taking taylor expansion of -1 in f 1.710 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.710 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.710 * [taylor]: Taking taylor expansion of n in f 1.710 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.710 * [taylor]: Taking taylor expansion of f in f 1.711 * [taylor]: Taking taylor expansion of 1 in n 1.712 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.712 * [taylor]: Taking taylor expansion of n in n 1.714 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.714 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.714 * [taylor]: Taking taylor expansion of n in n 1.720 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.720 * [approximate]: Taking taylor expansion of (/ 1 (+ n f)) in (f n) around 0 1.720 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in n 1.720 * [taylor]: Taking taylor expansion of (+ n f) in n 1.720 * [taylor]: Taking taylor expansion of n in n 1.720 * [taylor]: Taking taylor expansion of f in n 1.720 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in f 1.720 * [taylor]: Taking taylor expansion of (+ n f) in f 1.720 * [taylor]: Taking taylor expansion of n in f 1.720 * [taylor]: Taking taylor expansion of f in f 1.720 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in f 1.720 * [taylor]: Taking taylor expansion of (+ n f) in f 1.720 * [taylor]: Taking taylor expansion of n in f 1.720 * [taylor]: Taking taylor expansion of f in f 1.721 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.721 * [taylor]: Taking taylor expansion of n in n 1.722 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 1.722 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.722 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.722 * [taylor]: Taking taylor expansion of n in n 1.725 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.725 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.725 * [taylor]: Taking taylor expansion of n in n 1.732 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in (f n) around 0 1.732 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in n 1.732 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.732 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.732 * [taylor]: Taking taylor expansion of f in n 1.732 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.732 * [taylor]: Taking taylor expansion of n in n 1.733 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 1.733 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.733 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.733 * [taylor]: Taking taylor expansion of f in f 1.733 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.733 * [taylor]: Taking taylor expansion of n in f 1.733 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 1.733 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.733 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.733 * [taylor]: Taking taylor expansion of f in f 1.734 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.734 * [taylor]: Taking taylor expansion of n in f 1.734 * [taylor]: Taking taylor expansion of 1 in n 1.735 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 1.735 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.735 * [taylor]: Taking taylor expansion of n in n 1.738 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.738 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.738 * [taylor]: Taking taylor expansion of n in n 1.741 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in (f n) around 0 1.742 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in n 1.742 * [taylor]: Taking taylor expansion of -1 in n 1.742 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.742 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.742 * [taylor]: Taking taylor expansion of f in n 1.742 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.742 * [taylor]: Taking taylor expansion of n in n 1.742 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in f 1.742 * [taylor]: Taking taylor expansion of -1 in f 1.742 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.742 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.743 * [taylor]: Taking taylor expansion of f in f 1.743 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.743 * [taylor]: Taking taylor expansion of n in f 1.743 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in f 1.743 * [taylor]: Taking taylor expansion of -1 in f 1.743 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.743 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.743 * [taylor]: Taking taylor expansion of f in f 1.744 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.744 * [taylor]: Taking taylor expansion of n in f 1.744 * [taylor]: Taking taylor expansion of -1 in n 1.745 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.745 * [taylor]: Taking taylor expansion of n in n 1.748 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 1.748 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.748 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.748 * [taylor]: Taking taylor expansion of n in n 1.751 * * * [progress]: simplifying candidates 1.760 * [simplify]: Simplifying using # : (expm1 (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (log1p (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (- (- (log -1) (log (- f n))) (- (log (+ f n)))) (- (- (log -1) (log (- f n))) (- 0 (log (+ f n)))) (- (- (log -1) (log (- f n))) (- (log 1) (log (+ f n)))) (- (- (log -1) (log (- f n))) (log (/ 1 (+ f n)))) (- (log (/ -1 (- f n))) (- (log (+ f n)))) (- (log (/ -1 (- f n))) (- 0 (log (+ f n)))) (- (log (/ -1 (- f n))) (- (log 1) (log (+ f n)))) (- (log (/ -1 (- f n))) (log (/ 1 (+ f n)))) (log (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (exp (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (/ (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (/ (* (* 1 1) 1) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (* (/ 1 (+ f n)) (/ 1 (+ f n))) (/ 1 (+ f n)))) (/ (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (/ (* (* 1 1) 1) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (* (* (/ 1 (+ f n)) (/ 1 (+ f n))) (/ 1 (+ f n)))) (* (cbrt (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (cbrt (/ (/ -1 (- f n)) (/ 1 (+ f n))))) (cbrt (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (* (* (/ (/ -1 (- f n)) (/ 1 (+ f n))) (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (sqrt (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (sqrt (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (- (/ -1 (- f n))) (- (/ 1 (+ f n))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (* (cbrt (/ 1 (+ f n))) (cbrt (/ 1 (+ f n))))) (/ (cbrt (/ -1 (- f n))) (cbrt (/ 1 (+ f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (sqrt (/ 1 (+ f n)))) (/ (cbrt (/ -1 (- f n))) (sqrt (/ 1 (+ f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (/ -1 (- f n))) (/ (cbrt 1) (cbrt (+ f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ f n)))) (/ (cbrt (/ -1 (- f n))) (/ (cbrt 1) (sqrt (+ f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ -1 (- f n))) (/ (cbrt 1) (+ f n))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ -1 (- f n))) (/ (cbrt 1) (+ f n))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ (sqrt 1) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (/ -1 (- f n))) (/ (sqrt 1) (cbrt (+ f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ (sqrt 1) (sqrt (+ f n)))) (/ (cbrt (/ -1 (- f n))) (/ (sqrt 1) (sqrt (+ f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ (sqrt 1) 1)) (/ (cbrt (/ -1 (- f n))) (/ (sqrt 1) (+ f n))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ (sqrt 1) 1)) (/ (cbrt (/ -1 (- f n))) (/ (sqrt 1) (+ f n))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (/ -1 (- f n))) (/ 1 (cbrt (+ f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ 1 (sqrt (+ f n)))) (/ (cbrt (/ -1 (- f n))) (/ 1 (sqrt (+ f n)))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ 1 1)) (/ (cbrt (/ -1 (- f n))) (/ 1 (+ f n))) (/ (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (/ 1 1)) (/ (cbrt (/ -1 (- f n))) (/ 1 (+ f n))) (/ (* (cbrt (/ -1 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-1 0 0 0 0 0 0 1.848 * * * [progress]: adding candidates to table 2.611 * [progress]: [Phase 3 of 3] Extracting. 2.611 * * [regime]: Finding splitpoints for: (# # # # # #) 2.613 * * * [regime-changes]: Trying 2 branch expressions: (n f) 2.614 * * * * [regimes]: Trying to branch on n from (# # # # # #) 2.639 * * * * [regimes]: Trying to branch on f from (# # # # # #) 2.659 * * * [regime]: Found split indices: #