0.793 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.295 * * * [progress]: [2/2] Setting up program. 0.300 * [progress]: [Phase 2 of 3] Improving. 0.302 * [simplify]: Simplifying using # : (/ (neg (+ f n)) (- f n)) 0.307 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.308 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.309 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.310 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.311 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.312 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.313 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.314 * [simplify]: Simplified to: (/ (neg (+ f n)) (- f n)) 0.315 * * [progress]: iteration 1 / 4 0.315 * * * [progress]: picking best candidate 0.318 * * * * [pick]: Picked # 0.319 * * * [progress]: localizing error 0.326 * * * [progress]: generating rewritten candidates 0.326 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.343 * * * [progress]: generating series expansions 0.343 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.347 * [approximate]: Approximating (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.351 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.353 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.377 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.384 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.391 * [approximate]: Approximating (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.398 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.400 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.406 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.415 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.422 * [approximate]: Approximating (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.428 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.430 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.435 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.444 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.452 * * * [progress]: simplifying candidates 0.457 * [simplify]: Simplifying using # : (- (log (neg (+ f n))) (log (- f n))) (log (/ (neg (+ f n)) (- f n))) (exp (/ (neg (+ f n)) (- f n))) (/ (* (* (neg (+ f n)) (neg (+ f n))) (neg (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (neg (+ f n)) (- f n))) (cbrt (/ (neg (+ f n)) (- f n)))) (cbrt (/ (neg (+ f n)) (- f n))) (* (* (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n))) (/ (neg (+ f n)) (- f n))) (sqrt (/ (neg (+ f n)) (- f n))) (sqrt (/ (neg (+ f n)) (- f n))) (neg (neg (+ f n))) (neg (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (neg (+ f n))) (cbrt (- f n))) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (sqrt (- f n))) (/ (cbrt (neg (+ f n))) (sqrt (- f n))) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) 1) (/ (cbrt (neg (+ f n))) (- f n)) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (neg (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) 1) (/ (cbrt (neg (+ f n))) (- f n)) (/ (sqrt (neg (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (neg (+ f n))) (cbrt (- f n))) (/ (sqrt (neg (+ f n))) (sqrt (- f n))) (/ (sqrt (neg (+ f n))) (sqrt (- f n))) (/ (sqrt (neg (+ f n))) 1) (/ (sqrt (neg (+ f n))) (- f n)) (/ (sqrt (neg (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (neg (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (neg (+ f n))) 1) (/ (sqrt (neg (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (neg (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (neg (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (neg (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (neg (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (neg (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (neg (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (neg (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (neg (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (neg (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (neg 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (neg 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (neg 1) 1) (/ (+ f n) (- f n)) (/ (neg 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (neg 1) 1) (/ (+ f n) (- f n)) (/ (neg 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (neg 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (neg 1) 1) (/ (+ f n) (- f n)) (/ (neg 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (neg 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (neg (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (neg (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (neg (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (neg (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (neg (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (neg (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (neg (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (neg (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (neg (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (neg (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (neg (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (neg (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (neg (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (neg (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (neg (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (neg (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (neg (+ f n))) (/ (+ f n) (- f n)) (/ (neg (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (sqrt (- f n))) (/ (neg (+ f n)) 1) (/ (neg (+ f n)) (+ (sqrt f) (sqrt n))) (/ (neg (+ f n)) 1) (/ (- f n) (cbrt (neg (+ f n)))) (/ (- f n) (sqrt (neg (+ f n)))) (/ (- f n) (neg (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (neg (cbrt (+ f n)))) (/ (- f n) (neg (sqrt (+ f n)))) (/ (- f n) (neg (+ f n))) (/ (- f n) (neg (+ f n))) (/ (neg (+ f n)) (- (pow f 3) (pow n 3))) (/ (neg (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.463 * * [simplify]: iteration 0 : 288 enodes (cost 754 ) 0.468 * * [simplify]: iteration 1 : 906 enodes (cost 738 ) 0.481 * * [simplify]: iteration 2 : 2893 enodes (cost 733 ) 0.518 * * [simplify]: iteration 3 : 5001 enodes (cost 733 ) 0.522 * [simplify]: Simplified to: (log (/ (neg (+ f n)) (- f n))) (log (/ (neg (+ f n)) (- f n))) (exp (/ (neg (+ f n)) (- f n))) (pow (/ (neg (+ f n)) (- f n)) 3) (* (cbrt (/ (neg (+ f n)) (- f n))) (cbrt (/ (neg (+ f n)) (- f n)))) (cbrt (/ (neg (+ f n)) (- f n))) (pow (/ (neg (+ f n)) (- f n)) 3) (sqrt (/ (neg (+ f n)) (- f n))) (sqrt (/ (neg (+ f n)) (- f n))) (+ f n) (- n f) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (neg (+ f n))) (cbrt (- f n))) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (sqrt (- f n))) (/ (cbrt (neg (+ f n))) (sqrt (- f n))) (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (/ (cbrt (neg (+ f n))) (- f n)) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (neg (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (/ (cbrt (neg (+ f n))) (- f n)) (/ (sqrt (neg (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (neg (+ f n))) (cbrt (- f n))) (/ (sqrt (neg (+ f n))) (sqrt (- f n))) (/ (sqrt (neg (+ f n))) (sqrt (- f n))) (sqrt (neg (+ f n))) (/ (sqrt (neg (+ f n))) (- f n)) (/ (sqrt (neg (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (neg (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (neg (+ f n))) (/ (sqrt (neg (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (neg (+ f n)) (sqrt (- f n))) 1 (/ (neg (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (neg (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (neg (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (neg (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (neg (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (neg (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (neg (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (neg (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (neg (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (neg (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (neg (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (neg (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (neg (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (neg (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (neg (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (neg (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (neg (+ f n)) (sqrt (- f n))) 1 (/ (neg (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (neg (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (neg (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (neg (+ f n)) (sqrt (- f n))) 1 (/ (neg (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (neg (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (neg (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (neg (+ f n))) (/ (+ f n) (- f n)) (/ (neg (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (sqrt (- f n))) (neg (+ f n)) (/ (neg (+ f n)) (+ (sqrt f) (sqrt n))) (neg (+ f n)) (/ (- f n) (cbrt (neg (+ f n)))) (/ (- f n) (sqrt (neg (+ f n)))) (/ (- f n) (neg (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (neg (cbrt (+ f n)))) (/ (- f n) (neg (sqrt (+ f n)))) (/ (- f n) (neg (+ f n))) (/ (- f n) (neg (+ f n))) (/ (neg (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (+ (* n (- n f)) (* f f)) (- f n)) (* (- f n) (- f n)) 1 -1 -1 0.523 * * * [progress]: adding candidates to table 0.718 * * [progress]: iteration 2 / 4 0.718 * * * [progress]: picking best candidate 0.729 * * * * [pick]: Picked # 0.729 * * * [progress]: localizing error 0.738 * * * [progress]: generating rewritten candidates 0.738 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.751 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.760 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.793 * * * [progress]: generating series expansions 0.793 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.793 * [approximate]: Approximating (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 0.795 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 0.797 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 0.801 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 0.809 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 0.816 * [approximate]: Approximating (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 0.823 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.826 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.834 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.843 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.854 * [approximate]: Approximating (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 0.861 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.864 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.874 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.883 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.894 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.894 * [approximate]: Approximating (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.895 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.897 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.900 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.906 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.913 * [approximate]: Approximating (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.919 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.921 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.926 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.935 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.942 * [approximate]: Approximating (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.950 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.952 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.956 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.965 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.972 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.972 * [approximate]: Approximating (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.973 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.975 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.978 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.984 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.991 * [approximate]: Approximating (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.997 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.999 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.004 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.013 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.020 * [approximate]: Approximating (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.028 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.030 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.034 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.043 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.050 * * * [progress]: simplifying candidates 1.054 * [simplify]: Simplifying using # : (exp (* (cbrt (/ (neg (+ f n)) (- f n))) (cbrt (/ (neg (+ f n)) (- f n))))) (exp (sqrt (/ (neg (+ f n)) (- f n)))) (exp (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (sqrt (- f n)))) (exp (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) 1)) (exp (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (+ (sqrt f) (sqrt n)))) (exp (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) 1)) (exp (/ (sqrt (neg (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (neg (+ f n))) (sqrt (- f n)))) (exp (/ (sqrt (neg (+ f n))) 1)) (exp (/ (sqrt (neg (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (/ (sqrt (neg (+ f n))) 1)) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (exp (/ -1 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f n)) (cbrt (+ f n))) (/ (neg (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (neg (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (neg (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (neg (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (neg (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (neg (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (neg (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (neg (+ f n)) (sqrt (- f n))) 1 (/ (neg (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (neg (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (neg (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (neg (+ f n)) (sqrt (- f n))) 1 (/ (neg (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (neg (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (neg (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (neg (+ f n))) (/ (+ f n) (- f n)) (/ (neg (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (+ f n)) (sqrt (- f n))) (neg (+ f n)) (/ (neg (+ f n)) (+ (sqrt f) (sqrt n))) (neg (+ f n)) (/ (- f n) (cbrt (neg (+ f n)))) (/ (- f n) (sqrt (neg (+ f n)))) (/ (- f n) (neg (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (neg (cbrt (+ f n)))) (/ (- f n) (neg (sqrt (+ f n)))) (/ (- f n) (neg (+ f n))) (/ (- f n) (neg (+ f n))) (/ (neg (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (+ (* n (- n f)) (* f f)) (- f n)) (* (- f n) (- f n)) (* 2 (log (cbrt (exp (/ (neg (+ f n)) (- f n)))))) (log (cbrt (exp (/ (neg (+ f n)) (- f n))))) (log (sqrt (exp (/ (neg (+ f n)) (- f n))))) (log (sqrt (exp (/ (neg (+ f n)) (- f n))))) 0 (/ (neg (+ f n)) (- f n)) 0 (/ (+ f n) (- f n)) 0 (/ (+ f n) (- f n)) (/ (+ f n) (- f n)) (/ (neg (+ f n)) (- f n)) (* (cbrt (/ (neg (+ f n)) (- f n))) (cbrt (/ (neg (+ f n)) (- f n)))) (sqrt (/ (neg (+ f n)) (- f n))) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (sqrt (- f n))) (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (/ (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (+ (sqrt f) (sqrt n))) (* (cbrt (neg (+ f n))) (cbrt (neg (+ f n)))) (/ (sqrt (neg (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (neg (+ f n))) (sqrt (- f n))) (sqrt (neg (+ f n))) (/ (sqrt (neg (+ f n))) (+ (sqrt f) (sqrt n))) (sqrt (neg (+ f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt f) (sqrt n))) 1 (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (neg (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (neg (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (neg (sqrt (+ f n))) (sqrt (- f n))) (neg (sqrt (+ f n))) (/ (neg (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (neg (sqrt (+ f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt f) (sqrt n))) 1 (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt f) (sqrt n))) 1 1 (neg (+ f n)) (/ (neg (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (log (/ (neg (+ f n)) (- f n))) (exp (/ (neg (+ f n)) (- f n))) (* (cbrt (/ (neg (+ f n)) (- f n))) (cbrt (/ (neg (+ f n)) (- f n)))) (cbrt (/ (neg (+ f n)) (- f n))) (pow (/ (neg (+ f n)) (- f n)) 3) (sqrt (/ (neg (+ f n)) (- f n))) (sqrt (/ (neg (+ f n)) (- f n))) E (exp -1) (exp -1) 1 -1 -1 1 -1 -1 1.131 * * * [progress]: adding candidates to table 2.270 * * [progress]: iteration 3 / 4 2.270 * * * [progress]: picking best candidate 2.277 * * * * [pick]: Picked # 2.277 * * * [progress]: localizing error 2.290 * * * [progress]: generating rewritten candidates 2.290 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.293 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 2.295 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 2.298 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 2.302 * * * [progress]: generating series expansions 2.302 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.302 * [approximate]: Approximating (pow (+ n f) 1/3) in (f n) around 0 2.303 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in n 2.305 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in n 2.312 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in n 2.315 * [approximate]: Approximating (pow (+ (/ 1 f) (/ 1 n)) 1/3) in (f n) around 0 2.319 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 2.321 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 2.333 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 2.355 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 2.374 * [approximate]: Approximating (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in (f n) around 0 2.381 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 2.385 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 2.398 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 2.433 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 2.456 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 2.456 * [approximate]: Approximating (pow (+ n f) 1/3) in (f n) around 0 2.456 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in n 2.458 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in n 2.464 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in n 2.467 * [approximate]: Approximating (pow (+ (/ 1 f) (/ 1 n)) 1/3) in (f n) around 0 2.471 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 2.473 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 2.481 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 2.506 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 2.525 * [approximate]: Approximating (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in (f n) around 0 2.532 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 2.536 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 2.549 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 2.584 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 2.607 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 2.607 * [approximate]: Approximating (pow (+ n f) 1/3) in (f n) around 0 2.607 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in n 2.609 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in n 2.615 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in n 2.617 * [approximate]: Approximating (pow (+ (/ 1 f) (/ 1 n)) 1/3) in (f n) around 0 2.622 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 2.624 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 2.632 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 2.659 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 2.678 * [approximate]: Approximating (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in (f n) around 0 2.685 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 2.689 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 2.701 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 2.737 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 2.760 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.760 * [approximate]: Approximating (pow (- f n) 1/3) in (f n) around 0 2.761 * [taylor]: Taking taylor expansion of (pow (- f n) 1/3) in n 2.765 * [taylor]: Taking taylor expansion of (pow (- f n) 1/3) in n 2.774 * [taylor]: Taking taylor expansion of (pow (- f n) 1/3) in n 2.779 * [approximate]: Approximating (pow (- (/ 1 f) (/ 1 n)) 1/3) in (f n) around 0 2.785 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in n 2.787 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in n 2.795 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in n 2.822 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in n 2.840 * [approximate]: Approximating (pow (- (/ 1 n) (/ 1 f)) 1/3) in (f n) around 0 2.847 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in n 2.852 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in n 2.868 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in n 2.909 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in n 2.938 * * * [progress]: simplifying candidates 2.939 * [simplify]: Simplifying using # : (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt 1) (cbrt (+ f n)) (cbrt 1) (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (* (* (cbrt (+ f n)) (cbrt (+ f n))) (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt 1) (cbrt (+ f n)) (cbrt 1) (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (* (* (cbrt (+ f n)) (cbrt (+ f n))) (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt 1) (cbrt (+ f n)) (cbrt 1) (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (* (* (cbrt (+ f n)) (cbrt (+ f n))) (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (log (cbrt (- f n))) (exp (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))) (cbrt 1) (cbrt (- f n)) (cbrt (+ (sqrt f) (sqrt n))) (cbrt (- (sqrt f) (sqrt n))) (cbrt 1) (cbrt (- f n)) (cbrt (- (pow f 3) (pow n 3))) (cbrt (+ (* f f) (+ (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (+ f n)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))) (* (* (cbrt (- f n)) (cbrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n))) (sqrt (cbrt (- f n))) (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) (pow (/ 1 f) -1/3) (* (pow (* -1 f) 1/3) (cbrt -1)) (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) (pow (/ 1 f) -1/3) (* (pow (* -1 f) 1/3) (cbrt -1)) (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) (pow (/ 1 f) -1/3) (* (pow (* -1 f) 1/3) (cbrt -1)) (- (exp (* 1/3 (+ (log -1) (log n)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f)))) (pow (/ 1 f) -1/3) (exp (* 1/3 (- (log -1) (log (/ -1 f))))) 2.943 * * [simplify]: iteration 0 : 218 enodes (cost 368 ) 2.946 * * [simplify]: iteration 1 : 516 enodes (cost 348 ) 2.954 * * [simplify]: iteration 2 : 1669 enodes (cost 338 ) 2.986 * * [simplify]: iteration 3 : 5001 enodes (cost 333 ) 2.989 * [simplify]: Simplified to: (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt 1) (cbrt (+ f n)) (cbrt 1) (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (+ f n) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt 1) (cbrt (+ f n)) (cbrt 1) (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (+ f n) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt 1) (cbrt (+ f n)) (cbrt 1) (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (+ f n) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (log (cbrt (- f n))) (exp (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))) (cbrt 1) (cbrt (- f n)) (cbrt (+ (sqrt f) (sqrt n))) (cbrt (- (sqrt f) (sqrt n))) (cbrt 1) (cbrt (- f n)) (cbrt (- (pow f 3) (pow n 3))) (cbrt (+ (* f f) (+ (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (+ f n)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))) (- f n) (sqrt (cbrt (- f n))) (sqrt (cbrt (- f n))) (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) (pow (/ 1 f) -1/3) (* (pow (* -1 f) 1/3) (cbrt -1)) (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) (pow (/ 1 f) -1/3) (* (pow (* -1 f) 1/3) (cbrt -1)) (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) (pow (/ 1 f) -1/3) (* (pow (* -1 f) 1/3) (cbrt -1)) (- (* (neg (* f 1/3)) (* (pow n -2/3) (pow -1 1/3))) (- (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* (pow n 1/3) (pow -1 1/3)))) (pow (/ 1 f) -1/3) (* (pow f 1/6) (pow f 1/6)) 2.989 * * * [progress]: adding candidates to table 3.379 * * [progress]: iteration 4 / 4 3.379 * * * [progress]: picking best candidate 3.382 * * * * [pick]: Picked # 3.383 * * * [progress]: localizing error 3.393 * * * [progress]: generating rewritten candidates 3.393 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 3.403 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.456 * * * [progress]: generating series expansions 3.456 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 3.456 * [approximate]: Approximating (/ (sqrt (neg (+ n f))) (- f n)) in (f n) around 0 3.459 * [taylor]: Taking taylor expansion of (/ (sqrt (neg (+ n f))) (- f n)) in n 3.464 * [taylor]: Taking taylor expansion of (/ (sqrt (neg (+ n f))) (- f n)) in n 3.538 * [approximate]: Approximating (/ (sqrt (neg (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 3.549 * [taylor]: Taking taylor expansion of (/ (sqrt (neg (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) in n 3.552 * [taylor]: Taking taylor expansion of (/ (sqrt (neg (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) in n 3.562 * [taylor]: Taking taylor expansion of (/ (sqrt (neg (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) in n 3.582 * [approximate]: Approximating (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 n) (/ 1 f)))) in (f n) around 0 3.592 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 n) (/ 1 f)))) in n 3.594 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 n) (/ 1 f)))) in n 3.599 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 n) (/ 1 f)))) in n 3.614 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 n) (/ 1 f)))) in n 3.635 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.635 * [approximate]: Approximating (/ (pow (sqrt (neg (+ n f))) 2) (- f n)) in (f n) around 0 3.639 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (neg (+ n f))) 2) (- f n)) in n 3.644 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (neg (+ n f))) 2) (- f n)) in n 3.655 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (neg (+ n f))) 2) (- f n)) in n 3.681 * [approximate]: Approximating (/ (pow (sqrt (neg (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in (f n) around 0 3.700 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (neg (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in n 3.706 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (neg (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in n 3.727 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (neg (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in n 3.754 * [approximate]: Approximating (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.764 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.765 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.770 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.780 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.787 * * * [progress]: simplifying candidates 3.790 * [simplify]: Simplifying using # : (- (log (sqrt (neg (+ f n)))) (log (- f n))) (log (/ (sqrt (neg (+ f n))) (- f n))) (exp (/ (sqrt (neg (+ f n))) (- f n))) (/ (* (* (sqrt (neg (+ f n))) (sqrt (neg (+ f n)))) (sqrt (neg (+ f n)))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (sqrt (neg (+ f n))) (- f n))) (cbrt (/ (sqrt (neg (+ f n))) (- f n)))) (cbrt (/ (sqrt (neg (+ f n))) (- f n))) (* (* (/ (sqrt (neg (+ f n))) (- f n)) (/ (sqrt (neg (+ f n))) (- f n))) (/ (sqrt (neg (+ f n))) (- f n))) (sqrt (/ (sqrt 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(/ (pow NAN 3) (pow f 2)) (/ NAN f))) (neg (+ (* (pow NAN 2) f) (+ (* (pow NAN 2) n) (* 2 (* (pow NAN 4) (pow f 2)))))) 0 -1 3.861 * * * [progress]: adding candidates to table 4.752 * [progress]: [Phase 3 of 3] Extracting. 4.753 * * [regime]: Finding splitpoints for: (# # # #) 4.754 * * * [regime-changes]: Trying 3 branch expressions: ((/ (neg (+ f n)) (- f n)) n f) 4.754 * * * * [regimes]: Trying to branch on (/ (neg (+ f n)) (- f n)) from (# # # #) 4.791 * * * * [regimes]: Trying to branch on n from (# # # #) 4.835 * * * * [regimes]: Trying to branch on f from (# # # #) 4.878 * * * [regime]: Found split indices: #