0.862 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.263 * * * [progress]: [2/2] Setting up program. 0.266 * [progress]: [Phase 2 of 3] Improving. 0.269 * [simplify]: Simplifying using # : (/ (- (+ f n)) (- f n)) 0.271 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.275 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.276 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.278 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.280 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.283 * * [simplify]: iteration 5 : 31 enodes (cost 8 ) 0.286 * * [simplify]: iteration 6 : 32 enodes (cost 8 ) 0.289 * * [simplify]: iteration done : 32 enodes (cost 8 ) 0.290 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.291 * * [progress]: iteration 1 / 4 0.291 * * * [progress]: picking best candidate 0.292 * * * * [pick]: Picked # 0.292 * * * [progress]: localizing error 0.299 * * * [progress]: generating rewritten candidates 0.300 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.325 * * * [progress]: generating series expansions 0.326 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.330 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.331 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.331 * [taylor]: Taking taylor expansion of -1 in n 0.331 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.331 * [taylor]: Taking taylor expansion of (+ n f) in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.331 * [taylor]: Taking taylor expansion of f in n 0.331 * [taylor]: Taking taylor expansion of (- f n) in n 0.331 * [taylor]: Taking taylor expansion of f in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.332 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.332 * [taylor]: Taking taylor expansion of -1 in f 0.332 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.332 * [taylor]: Taking taylor expansion of (+ n f) in f 0.332 * [taylor]: Taking taylor expansion of n in f 0.332 * [taylor]: Taking taylor expansion of f in f 0.332 * [taylor]: Taking taylor expansion of (- f n) in f 0.332 * [taylor]: Taking taylor expansion of f in f 0.332 * [taylor]: Taking taylor expansion of n in f 0.332 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.332 * [taylor]: Taking taylor expansion of -1 in f 0.332 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.332 * [taylor]: Taking taylor expansion of (+ n f) in f 0.332 * [taylor]: Taking taylor expansion of n in f 0.332 * [taylor]: Taking taylor expansion of f in f 0.332 * [taylor]: Taking taylor expansion of (- f n) in f 0.332 * [taylor]: Taking taylor expansion of f in f 0.332 * [taylor]: Taking taylor expansion of n in f 0.333 * [taylor]: Taking taylor expansion of 1 in n 0.335 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.335 * [taylor]: Taking taylor expansion of 2 in n 0.335 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.335 * [taylor]: Taking taylor expansion of n in n 0.347 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.347 * [taylor]: Taking taylor expansion of 2 in n 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.347 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.347 * [taylor]: Taking taylor expansion of n in n 0.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.354 * [taylor]: Taking taylor expansion of 2 in n 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.354 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.354 * [taylor]: Taking taylor expansion of n in n 0.360 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.360 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.360 * [taylor]: Taking taylor expansion of -1 in n 0.360 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.360 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.360 * [taylor]: Taking taylor expansion of f in n 0.360 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.360 * [taylor]: Taking taylor expansion of n in n 0.361 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.361 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.361 * [taylor]: Taking taylor expansion of f in n 0.361 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.361 * [taylor]: Taking taylor expansion of n in n 0.362 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.362 * [taylor]: Taking taylor expansion of -1 in f 0.362 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.362 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.362 * [taylor]: Taking taylor expansion of f in f 0.363 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.363 * [taylor]: Taking taylor expansion of n in f 0.363 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.363 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.363 * [taylor]: Taking taylor expansion of f in f 0.363 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.363 * [taylor]: Taking taylor expansion of n in f 0.364 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.364 * [taylor]: Taking taylor expansion of -1 in f 0.364 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.364 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.364 * [taylor]: Taking taylor expansion of f in f 0.364 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.364 * [taylor]: Taking taylor expansion of n in f 0.364 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.364 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.364 * [taylor]: Taking taylor expansion of f in f 0.365 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.365 * [taylor]: Taking taylor expansion of n in f 0.366 * [taylor]: Taking taylor expansion of -1 in n 0.367 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.367 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.367 * [taylor]: Taking taylor expansion of 2 in n 0.367 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.367 * [taylor]: Taking taylor expansion of n in n 0.371 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.371 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.371 * [taylor]: Taking taylor expansion of 2 in n 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.371 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.371 * [taylor]: Taking taylor expansion of n in n 0.379 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.379 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.379 * [taylor]: Taking taylor expansion of 2 in n 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.379 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.379 * [taylor]: Taking taylor expansion of n in n 0.385 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.385 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.385 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.385 * [taylor]: Taking taylor expansion of f in n 0.385 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.385 * [taylor]: Taking taylor expansion of n in n 0.386 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.386 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.386 * [taylor]: Taking taylor expansion of n in n 0.386 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.386 * [taylor]: Taking taylor expansion of f in n 0.387 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.387 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.387 * [taylor]: Taking taylor expansion of f in f 0.387 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.387 * [taylor]: Taking taylor expansion of n in f 0.387 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.387 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.387 * [taylor]: Taking taylor expansion of n in f 0.387 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.387 * [taylor]: Taking taylor expansion of f in f 0.388 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.388 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.388 * [taylor]: Taking taylor expansion of f in f 0.389 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.389 * [taylor]: Taking taylor expansion of n in f 0.389 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.389 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.389 * [taylor]: Taking taylor expansion of n in f 0.389 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.389 * [taylor]: Taking taylor expansion of f in f 0.390 * [taylor]: Taking taylor expansion of -1 in n 0.392 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.392 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.392 * [taylor]: Taking taylor expansion of 2 in n 0.392 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.392 * [taylor]: Taking taylor expansion of n in n 0.396 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.396 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.396 * [taylor]: Taking taylor expansion of 2 in n 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.396 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.396 * [taylor]: Taking taylor expansion of n in n 0.403 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.403 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.404 * [taylor]: Taking taylor expansion of 2 in n 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.404 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.404 * [taylor]: Taking taylor expansion of n in n 0.409 * * * [progress]: simplifying candidates 0.411 * [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 0.415 * * [simplify]: iteration 0 : 135 enodes (cost 1469 ) 0.441 * * [simplify]: iteration 1 : 298 enodes (cost 1395 ) 0.491 * * [simplify]: iteration 2 : 832 enodes (cost 1365 )