15.933 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.069 * * * [progress]: [2/2] Setting up program. 0.071 * [progress]: [Phase 2 of 3] Improving. 0.071 * [simplify]: Simplifying using # : (- (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) 1.0) 0.072 * * [simplify]: iteration 0 : 9 enodes (cost 15 ) 0.073 * * [simplify]: iteration 1 : 18 enodes (cost 15 ) 0.076 * * [simplify]: iteration 2 : 43 enodes (cost 15 ) 0.082 * * [simplify]: iteration 3 : 87 enodes (cost 15 ) 0.097 * * [simplify]: iteration 4 : 150 enodes (cost 15 ) 0.123 * * [simplify]: iteration 5 : 196 enodes (cost 15 ) 0.154 * * [simplify]: iteration 6 : 282 enodes (cost 15 ) 0.207 * * [simplify]: iteration 7 : 444 enodes (cost 15 ) 0.316 * * [simplify]: iteration 8 : 685 enodes (cost 15 ) 0.508 * * [simplify]: iteration 9 : 709 enodes (cost 15 ) 0.709 * * [simplify]: iteration 10 : 734 enodes (cost 15 ) 0.928 * * [simplify]: iteration 11 : 792 enodes (cost 15 ) 1.182 * * [simplify]: iteration 12 : 872 enodes (cost 15 ) 1.488 * * [simplify]: iteration 13 : 971 enodes (cost 15 ) 1.892 * * [simplify]: iteration 14 : 1103 enodes (cost 15 ) 2.435 * * [simplify]: iteration 15 : 1169 enodes (cost 15 ) 3.096 * * [simplify]: iteration 16 : 1405 enodes (cost 15 ) 4.076 * * [simplify]: iteration 17 : 1468 enodes (cost 15 ) 5.216 * * [simplify]: iteration 18 : 1811 enodes (cost 15 ) 7.152 * * [simplify]: iteration 19 : 3674 enodes (cost 15 ) 10.369 * * [simplify]: iteration done : 5000 enodes (cost 15 ) 10.369 * [simplify]: Simplified to: (- (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) 1.0) 10.370 * * [progress]: iteration 1 / 4 10.370 * * * [progress]: picking best candidate 10.377 * * * * [pick]: Picked # 10.377 * * * [progress]: localizing error 10.387 * * * [progress]: generating rewritten candidates 10.387 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 10.397 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 10.401 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 10.417 * * * [progress]: generating series expansions 10.417 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 10.418 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) (* n (log n))) in (n) around 0 10.418 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) (* n (log n))) in n 10.418 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) in n 10.418 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ n 1.0))) in n 10.418 * [taylor]: Taking taylor expansion of 1.0 in n 10.418 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 10.418 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 10.418 * [taylor]: Taking taylor expansion of n in n 10.418 * [taylor]: Taking taylor expansion of 1.0 in n 10.419 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) n) in n 10.419 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 10.419 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 10.419 * [taylor]: Taking taylor expansion of n in n 10.419 * [taylor]: Taking taylor expansion of 1.0 in n 10.419 * [taylor]: Taking taylor expansion of n in n 10.419 * [taylor]: Taking taylor expansion of (* n (log n)) in n 10.419 * [taylor]: Taking taylor expansion of n in n 10.419 * [taylor]: Taking taylor expansion of (log n) in n 10.419 * [taylor]: Taking taylor expansion of n in n 10.420 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) (* n (log n))) in n 10.420 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) in n 10.420 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ n 1.0))) in n 10.420 * [taylor]: Taking taylor expansion of 1.0 in n 10.420 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 10.420 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 10.420 * [taylor]: Taking taylor expansion of n in n 10.420 * [taylor]: Taking taylor expansion of 1.0 in n 10.420 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) n) in n 10.420 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 10.420 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 10.420 * [taylor]: Taking taylor expansion of n in n 10.420 * [taylor]: Taking taylor expansion of 1.0 in n 10.421 * [taylor]: Taking taylor expansion of n in n 10.421 * [taylor]: Taking taylor expansion of (* n (log n)) in n 10.421 * [taylor]: Taking taylor expansion of n in n 10.421 * [taylor]: Taking taylor expansion of (log n) in n 10.421 * [taylor]: Taking taylor expansion of n in n 10.469 * [approximate]: Taking taylor expansion of (- (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) (/ (log (/ 1 n)) n)) in (n) around 0 10.469 * [taylor]: Taking taylor expansion of (- (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) (/ (log (/ 1 n)) n)) in n 10.469 * [taylor]: Taking taylor expansion of (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) in n 10.469 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 n) 1.0)) n) in n 10.469 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 10.469 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 10.469 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.469 * [taylor]: Taking taylor expansion of n in n 10.469 * [taylor]: Taking taylor expansion of 1.0 in n 10.470 * [taylor]: Taking taylor expansion of n in n 10.471 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ (/ 1 n) 1.0))) in n 10.471 * [taylor]: Taking taylor expansion of 1.0 in n 10.471 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 10.471 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 10.471 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.471 * [taylor]: Taking taylor expansion of n in n 10.471 * [taylor]: Taking taylor expansion of 1.0 in n 10.471 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 10.472 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.472 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.472 * [taylor]: Taking taylor expansion of n in n 10.472 * [taylor]: Taking taylor expansion of n in n 10.473 * [taylor]: Taking taylor expansion of (- (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) (/ (log (/ 1 n)) n)) in n 10.473 * [taylor]: Taking taylor expansion of (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) in n 10.473 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 n) 1.0)) n) in n 10.473 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 10.473 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 10.473 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.473 * [taylor]: Taking taylor expansion of n in n 10.473 * [taylor]: Taking taylor expansion of 1.0 in n 10.473 * [taylor]: Taking taylor expansion of n in n 10.474 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ (/ 1 n) 1.0))) in n 10.474 * [taylor]: Taking taylor expansion of 1.0 in n 10.474 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 10.474 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 10.474 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.474 * [taylor]: Taking taylor expansion of n in n 10.474 * [taylor]: Taking taylor expansion of 1.0 in n 10.475 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 10.475 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.475 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.475 * [taylor]: Taking taylor expansion of n in n 10.476 * [taylor]: Taking taylor expansion of n in n 10.524 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) (/ (log (- 1.0 (/ 1 n))) n)) in (n) around 0 10.524 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) (/ (log (- 1.0 (/ 1 n))) n)) in n 10.524 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) in n 10.524 * [taylor]: Taking taylor expansion of (* 1.0 (log (- 1.0 (/ 1 n)))) in n 10.524 * [taylor]: Taking taylor expansion of 1.0 in n 10.524 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 10.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 10.524 * [taylor]: Taking taylor expansion of 1.0 in n 10.524 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.524 * [taylor]: Taking taylor expansion of n in n 10.525 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 10.525 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.525 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.525 * [taylor]: Taking taylor expansion of -1 in n 10.525 * [taylor]: Taking taylor expansion of n in n 10.526 * [taylor]: Taking taylor expansion of n in n 10.527 * [taylor]: Taking taylor expansion of (/ (log (- 1.0 (/ 1 n))) n) in n 10.527 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 10.527 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 10.527 * [taylor]: Taking taylor expansion of 1.0 in n 10.527 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.527 * [taylor]: Taking taylor expansion of n in n 10.528 * [taylor]: Taking taylor expansion of n in n 10.530 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) (/ (log (- 1.0 (/ 1 n))) n)) in n 10.530 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) in n 10.530 * [taylor]: Taking taylor expansion of (* 1.0 (log (- 1.0 (/ 1 n)))) in n 10.530 * [taylor]: Taking taylor expansion of 1.0 in n 10.530 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 10.530 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 10.530 * [taylor]: Taking taylor expansion of 1.0 in n 10.530 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.530 * [taylor]: Taking taylor expansion of n in n 10.531 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 10.531 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.531 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.531 * [taylor]: Taking taylor expansion of -1 in n 10.531 * [taylor]: Taking taylor expansion of n in n 10.532 * [taylor]: Taking taylor expansion of n in n 10.533 * [taylor]: Taking taylor expansion of (/ (log (- 1.0 (/ 1 n))) n) in n 10.533 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 10.533 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 10.533 * [taylor]: Taking taylor expansion of 1.0 in n 10.533 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.533 * [taylor]: Taking taylor expansion of n in n 10.534 * [taylor]: Taking taylor expansion of n in n 10.599 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 10.599 * [approximate]: Taking taylor expansion of (* n (log n)) in (n) around 0 10.599 * [taylor]: Taking taylor expansion of (* n (log n)) in n 10.599 * [taylor]: Taking taylor expansion of n in n 10.599 * [taylor]: Taking taylor expansion of (log n) in n 10.599 * [taylor]: Taking taylor expansion of n in n 10.600 * [taylor]: Taking taylor expansion of (* n (log n)) in n 10.600 * [taylor]: Taking taylor expansion of n in n 10.600 * [taylor]: Taking taylor expansion of (log n) in n 10.600 * [taylor]: Taking taylor expansion of n in n 10.671 * [approximate]: Taking taylor expansion of (/ (log (/ 1 n)) n) in (n) around 0 10.671 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 10.671 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.671 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.671 * [taylor]: Taking taylor expansion of n in n 10.672 * [taylor]: Taking taylor expansion of n in n 10.673 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 10.673 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.673 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.673 * [taylor]: Taking taylor expansion of n in n 10.673 * [taylor]: Taking taylor expansion of n in n 10.723 * [approximate]: Taking taylor expansion of (* -1 (/ (log (/ -1 n)) n)) in (n) around 0 10.723 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 n)) n)) in n 10.723 * [taylor]: Taking taylor expansion of -1 in n 10.723 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 10.723 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.723 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.723 * [taylor]: Taking taylor expansion of -1 in n 10.723 * [taylor]: Taking taylor expansion of n in n 10.724 * [taylor]: Taking taylor expansion of n in n 10.725 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 n)) n)) in n 10.725 * [taylor]: Taking taylor expansion of -1 in n 10.725 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 10.725 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.725 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.725 * [taylor]: Taking taylor expansion of -1 in n 10.725 * [taylor]: Taking taylor expansion of n in n 10.726 * [taylor]: Taking taylor expansion of n in n 10.787 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 10.787 * [approximate]: Taking taylor expansion of (* (log (+ n 1.0)) (+ n 1.0)) in (n) around 0 10.787 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) (+ n 1.0)) in n 10.787 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 10.787 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 10.787 * [taylor]: Taking taylor expansion of n in n 10.787 * [taylor]: Taking taylor expansion of 1.0 in n 10.788 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 10.788 * [taylor]: Taking taylor expansion of n in n 10.788 * [taylor]: Taking taylor expansion of 1.0 in n 10.788 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) (+ n 1.0)) in n 10.788 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 10.788 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 10.788 * [taylor]: Taking taylor expansion of n in n 10.788 * [taylor]: Taking taylor expansion of 1.0 in n 10.788 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 10.788 * [taylor]: Taking taylor expansion of n in n 10.788 * [taylor]: Taking taylor expansion of 1.0 in n 10.809 * [approximate]: Taking taylor expansion of (* (+ (/ 1 n) 1.0) (log (+ (/ 1 n) 1.0))) in (n) around 0 10.809 * [taylor]: Taking taylor expansion of (* (+ (/ 1 n) 1.0) (log (+ (/ 1 n) 1.0))) in n 10.809 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 10.809 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.809 * [taylor]: Taking taylor expansion of n in n 10.809 * [taylor]: Taking taylor expansion of 1.0 in n 10.809 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 10.809 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 10.809 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.809 * [taylor]: Taking taylor expansion of n in n 10.809 * [taylor]: Taking taylor expansion of 1.0 in n 10.810 * [taylor]: Taking taylor expansion of (* (+ (/ 1 n) 1.0) (log (+ (/ 1 n) 1.0))) in n 10.810 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 10.810 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.810 * [taylor]: Taking taylor expansion of n in n 10.810 * [taylor]: Taking taylor expansion of 1.0 in n 10.810 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 10.810 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 10.810 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.810 * [taylor]: Taking taylor expansion of n in n 10.811 * [taylor]: Taking taylor expansion of 1.0 in n 10.826 * [approximate]: Taking taylor expansion of (* (log (- 1.0 (/ 1 n))) (- 1.0 (/ 1 n))) in (n) around 0 10.826 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (/ 1 n))) (- 1.0 (/ 1 n))) in n 10.826 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 10.826 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 10.826 * [taylor]: Taking taylor expansion of 1.0 in n 10.826 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.826 * [taylor]: Taking taylor expansion of n in n 10.827 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 10.827 * [taylor]: Taking taylor expansion of 1.0 in n 10.827 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.827 * [taylor]: Taking taylor expansion of n in n 10.828 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (/ 1 n))) (- 1.0 (/ 1 n))) in n 10.828 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 10.828 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 10.828 * [taylor]: Taking taylor expansion of 1.0 in n 10.828 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.828 * [taylor]: Taking taylor expansion of n in n 10.829 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 10.829 * [taylor]: Taking taylor expansion of 1.0 in n 10.829 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.829 * [taylor]: Taking taylor expansion of n in n 10.850 * * * [progress]: simplifying candidates 10.851 * [simplify]: Simplifying using # : (/ (exp (* (+ n 1.0) (log (+ n 1.0)))) (exp (* n (log n)))) (log (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (exp (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (* (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))))) (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (* (* (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (sqrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (sqrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (- (pow (* (+ n 1.0) (log (+ n 1.0))) 3) (pow (* n (log n)) 3)) (+ (* (* (+ n 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0)))) (+ (* (* n (log n)) (* n (log n))) (* (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))))) (- (* n (log n))) (- (* (* (+ n 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0)))) (* (* n (log n)) (* n (log n)))) (+ (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log (* (cbrt n) (cbrt n))))) (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log (sqrt n)))) (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log 1))) (- (* (+ n 1.0) (log (+ n 1.0))) (* (log (* (cbrt n) (cbrt n))) n)) (- (* (+ n 1.0) (log (+ n 1.0))) (* (log (sqrt n)) n)) (- (* (+ n 1.0) (log (+ n 1.0))) (* (log 1) n)) (- (* (+ n 1.0) (log (cbrt (+ n 1.0)))) (* n (log n))) (- (* (+ n 1.0) (log (sqrt (+ n 1.0)))) (* n (log n))) (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) (- (* (log (cbrt (+ n 1.0))) (+ n 1.0)) (* n (log n))) (- (* (log (sqrt (+ n 1.0))) (+ n 1.0)) (* n (log n))) (- (* (log (+ n 1.0)) (+ n 1.0)) (* n (log n))) (- (* (log (+ n 1.0)) (+ n 1.0)) (* n (log n))) (- (* n (log n))) (* n (log n)) (+ (log n) (log (log n))) (log (* n (log n))) (exp (* n (log n))) (* (* (* n n) n) (* (* (log n) (log n)) (log n))) (* (cbrt (* n (log n))) (cbrt (* n (log n)))) (cbrt (* n (log n))) (* (* (* n (log n)) (* n (log n))) (* n (log n))) (sqrt (* n (log n))) (sqrt (* n (log n))) (* (sqrt n) (sqrt (log n))) (* (sqrt n) (sqrt (log n))) (* n (log (* (cbrt n) (cbrt n)))) (* n (log (cbrt n))) (* n (log (sqrt n))) (* n (log (sqrt n))) (* n (log 1)) (* n (log n)) (* (log (* (cbrt n) (cbrt n))) n) (* (log (cbrt n)) n) (* (log (sqrt n)) n) (* (log (sqrt n)) n) (* (log 1) n) (* (log n) n) (* n 1) (* n (* (cbrt (log n)) (cbrt (log n)))) (* n (sqrt (log n))) (* n 1) (* (cbrt n) (log n)) (* (sqrt n) (log n)) (* n (log n)) (* (+ n 1.0) (log (+ n 1.0))) (+ (log (+ n 1.0)) (log (log (+ n 1.0)))) (log (* (+ n 1.0) (log (+ n 1.0)))) (exp (* (+ n 1.0) (log (+ n 1.0)))) (* (* (* (+ n 1.0) (+ n 1.0)) (+ n 1.0)) (* (* (log (+ n 1.0)) (log (+ n 1.0))) (log (+ n 1.0)))) (* (cbrt (* (+ n 1.0) (log (+ n 1.0)))) (cbrt (* (+ n 1.0) (log (+ n 1.0))))) (cbrt (* (+ n 1.0) (log (+ n 1.0)))) (* (* (* (+ n 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0)))) (* (+ n 1.0) (log (+ n 1.0)))) (sqrt (* (+ n 1.0) (log (+ n 1.0)))) (sqrt (* (+ n 1.0) (log (+ n 1.0)))) (* (sqrt (+ n 1.0)) (sqrt (log (+ n 1.0)))) (* (sqrt (+ n 1.0)) (sqrt (log (+ n 1.0)))) (* (+ n 1.0) (log (* (cbrt (+ n 1.0)) (cbrt (+ n 1.0))))) (* (+ n 1.0) (log (cbrt (+ n 1.0)))) (* (+ n 1.0) (log (sqrt (+ n 1.0)))) (* (+ n 1.0) (log (sqrt (+ n 1.0)))) (* (+ n 1.0) (log 1)) (* (+ n 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log 1)) (* (+ n 1.0) (log (+ n 1.0))) (* (log (* (cbrt (+ n 1.0)) (cbrt (+ n 1.0)))) (+ n 1.0)) (* (log (cbrt (+ n 1.0))) (+ n 1.0)) (* (log (sqrt (+ n 1.0))) (+ n 1.0)) (* (log (sqrt (+ n 1.0))) (+ n 1.0)) (* (log 1) (+ n 1.0)) (* (log (+ n 1.0)) (+ n 1.0)) (* (log 1) (+ n 1.0)) (* (log (+ n 1.0)) (+ n 1.0)) (* (+ n 1.0) 1) (* (+ n 1.0) (* (cbrt (log (+ n 1.0))) (cbrt (log (+ n 1.0))))) (* (+ n 1.0) (sqrt (log (+ n 1.0)))) (* (+ n 1.0) 1) (* (cbrt (+ n 1.0)) (log (+ n 1.0))) (* (sqrt (+ n 1.0)) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0))) (* (+ (pow n 3) (pow 1.0 3)) (log (+ n 1.0))) (* (- (* n n) (* 1.0 1.0)) (log (+ n 1.0))) (- (+ (* 1.0 n) (+ (* 1.0 (log 1.0)) (+ (* 1.0 (pow n 2)) (* (log 1.0) n)))) (+ (* 0.5 (/ (pow n 2) (pow 1.0 2))) (* n (log n)))) (- (+ (* 0.5 (/ 1 n)) 1.0) (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (- (+ (* 1.0 (log -1)) (+ (* 0.5 (/ 1 n)) 1.0)) (+ (* 0.16666666666666669 (/ 1 (pow n 2))) (* 1.0 (log (/ -1 n))))) (* n (log n)) (* -1 (* (log (/ 1 n)) n)) (* (- (log -1) (log (/ -1 n))) n) (- (+ (* 1.0 n) (+ (* 1.0 (log 1.0)) (+ (* 1.0 (pow n 2)) (* (log 1.0) n)))) (* 0.5 (/ (pow n 2) (pow 1.0 2)))) (- (+ (* 0.5 (/ 1 n)) 1.0) (+ (* 1.0 (log (/ 1 n))) (* (log (/ 1 n)) n))) (- (+ (* 1.0 (log -1)) (+ (* 0.5 (/ 1 n)) (+ (* (log -1) n) 1.0))) (+ (* n (log (/ -1 n))) (* 1.0 (log (/ -1 n))))) 10.861 * * [simplify]: iteration 0 : 171 enodes (cost 1210 ) 10.899 * * [simplify]: iteration 1 : 410 enodes (cost 1150 ) 10.996 * * [simplify]: iteration 2 : 1231 enodes (cost 1036 ) 12.215 * * [simplify]: iteration 3 : 4962 enodes (cost 1015 ) 13.696 * * [simplify]: iteration done : 5000 enodes (cost 1015 ) 13.697 * [simplify]: Simplified to: (/ (pow (+ n 1.0) (+ n 1.0)) (pow n n)) (log (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (/ (pow (+ n 1.0) (+ n 1.0)) (pow n n)) (* (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))))) (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (pow (- (* (log (+ n 1.0)) (+ n 1.0)) (* n (log n))) 3) (sqrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (sqrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (- (pow (* (+ n 1.0) (log (+ n 1.0))) 3) (pow (* n (log n)) 3)) (+ (* (* n (log n)) (* n (log n))) (* (+ (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) (* (log (+ n 1.0)) (+ n 1.0)))) (* (- (log n)) n) (- (* (* (+ n 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0)))) (* (* n (log n)) (* n (log n)))) (+ (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) (- (* (log (+ n 1.0)) (+ n 1.0)) (* n (* 2 (log (cbrt n))))) (- (* (+ n 1.0) (log (+ n 1.0))) (* (log (sqrt n)) n)) (* (+ 1.0 n) (log (+ 1.0 n))) (- (* (log (+ n 1.0)) (+ n 1.0)) (* n (* 2 (log (cbrt n))))) (- (* (+ n 1.0) (log (+ n 1.0))) (* (log (sqrt n)) n)) (* (+ 1.0 n) (log (+ 1.0 n))) (- (* (log (cbrt (+ n 1.0))) (+ n 1.0)) (* n (log n))) (- (* (+ n 1.0) (log (sqrt (+ n 1.0)))) (* n (log n))) (- (* (log (+ n 1.0)) (+ n 1.0)) (* n (log n))) (- (* (log (+ n 1.0)) (+ n 1.0)) (* n (log n))) (- (* (log (cbrt (+ n 1.0))) (+ n 1.0)) (* n (log n))) (- (* (+ n 1.0) (log (sqrt (+ n 1.0)))) (* n (log n))) (- (* (log (+ n 1.0)) (+ n 1.0)) (* n (log n))) (- (* (log (+ n 1.0)) (+ n 1.0)) (* n (log n))) (* (- (log n)) n) (* (log n) n) (log (* n (log n))) (log (* n (log n))) (pow n n) (pow (* (log n) n) 3) (* (cbrt (* n (log n))) (cbrt (* n (log n)))) (cbrt (* n (log n))) (pow (* (log n) n) 3) (sqrt (* n (log n))) (sqrt (* n (log n))) (* (sqrt n) (sqrt (log n))) (* (sqrt n) (sqrt (log n))) (* n (* 2 (log (cbrt n)))) (* n (log (cbrt n))) (* (log (sqrt n)) n) (* (log (sqrt n)) n) 0 (* (log n) n) (* n (* 2 (log (cbrt n)))) (* n (log (cbrt n))) (* (log (sqrt n)) n) (* (log (sqrt n)) n) 0 (* (log n) n) n (* n (* (cbrt (log n)) (cbrt (log n)))) (* n (sqrt (log n))) n (* (cbrt n) (log n)) (* (sqrt n) (log n)) (* (log n) n) (* (+ 1.0 n) (log (+ 1.0 n))) (log (* (+ n 1.0) (log (+ n 1.0)))) (log (* (+ n 1.0) (log (+ n 1.0)))) (pow (+ n 1.0) (+ n 1.0)) (pow (* (log (+ n 1.0)) (+ n 1.0)) 3) (* (cbrt (* (+ n 1.0) (log (+ n 1.0)))) (cbrt (* (+ n 1.0) (log (+ n 1.0))))) (cbrt (* (+ n 1.0) (log (+ n 1.0)))) (pow (* (log (+ n 1.0)) (+ n 1.0)) 3) (sqrt (* (+ n 1.0) (log (+ n 1.0)))) (sqrt (* (+ n 1.0) (log (+ n 1.0)))) (* (sqrt (+ n 1.0)) (sqrt (log (+ n 1.0)))) (* (sqrt (+ n 1.0)) (sqrt (log (+ n 1.0)))) (* (+ n 1.0) (* 2 (log (cbrt (+ n 1.0))))) (* (log (cbrt (+ n 1.0))) (+ n 1.0)) (* (+ n 1.0) (log (sqrt (+ n 1.0)))) (* (+ n 1.0) (log (sqrt (+ n 1.0)))) 0 (* (+ 1.0 n) (log (+ 1.0 n))) 0 (* (+ 1.0 n) (log (+ 1.0 n))) (* (+ n 1.0) (* 2 (log (cbrt (+ n 1.0))))) (* (log (cbrt (+ n 1.0))) (+ n 1.0)) (* (+ n 1.0) (log (sqrt (+ n 1.0)))) (* (+ n 1.0) (log (sqrt (+ n 1.0)))) 0 (* (+ 1.0 n) (log (+ 1.0 n))) 0 (* (+ 1.0 n) (log (+ 1.0 n))) (+ 1.0 n) (* (+ n 1.0) (* (cbrt (log (+ n 1.0))) (cbrt (log (+ n 1.0))))) (* (+ n 1.0) (sqrt (log (+ n 1.0)))) (+ 1.0 n) (* (cbrt (+ n 1.0)) (log (+ n 1.0))) (* (sqrt (+ n 1.0)) (log (+ n 1.0))) (* (+ 1.0 n) (log (+ 1.0 n))) (* (+ 1.0 n) (log (+ 1.0 n))) (* (+ (pow n 3) (pow 1.0 3)) (log (+ n 1.0))) (* (- (* n n) (* 1.0 1.0)) (log (+ n 1.0))) (- (+ (* 1.0 (+ (+ n (log 1.0)) (pow n 2))) (- (* (log 1.0) n) (* 0.5 (/ (pow n 2) (pow 1.0 2))))) (* (log n) n)) (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) (+ (+ 1.0 (/ 0.5 n)) (- (* 1.0 (log -1)) (+ (/ 0.16666666666666669 (* n n)) (* 1.0 (log (/ -1 n)))))) (* (log n) n) (* (log n) n) (* (log n) n) (+ (* 1.0 (+ (+ n (log 1.0)) (pow n 2))) (- (* (log 1.0) n) (* 0.5 (/ (pow n 2) (pow 1.0 2))))) (+ (* (log n) (+ 1.0 n)) (+ 1.0 (/ 0.5 n))) (- (+ (+ (/ 0.5 n) (+ 1.0 (* 1.0 (log -1)))) (* (log n) n)) (* 1.0 (log (/ -1 n)))) 13.697 * * * [progress]: adding candidates to table 13.883 * * [progress]: iteration 2 / 4 13.883 * * * [progress]: picking best candidate 13.885 * * * * [pick]: Picked # 13.885 * * * [progress]: localizing error 13.896 * * * [progress]: generating rewritten candidates 13.896 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1 2) 13.899 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 14.998 * * * [progress]: generating series expansions 14.998 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1 2) 14.998 * [approximate]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in (n) around 0 14.998 * [taylor]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in n 14.998 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 14.998 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.998 * [taylor]: Taking taylor expansion of n in n 14.999 * [taylor]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in n 14.999 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 14.999 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.999 * [taylor]: Taking taylor expansion of n in n 15.008 * [approximate]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in (n) around 0 15.008 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 15.008 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 15.008 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.008 * [taylor]: Taking taylor expansion of n in n 15.008 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 15.008 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 15.008 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.008 * [taylor]: Taking taylor expansion of n in n 15.016 * [approximate]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in (n) around 0 15.016 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 15.016 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 15.016 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.016 * [taylor]: Taking taylor expansion of n in n 15.016 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 15.016 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 15.016 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.016 * [taylor]: Taking taylor expansion of n in n 15.024 * * * * [progress]: [ 2 / 2 ] generating series at (2) 15.024 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (/ 1 n)) (* 1.0 (log n))) (* 0.16666666666666669 (/ 1 (pow n 2)))) in (n) around 0 15.024 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (/ 1 n)) (* 1.0 (log n))) (* 0.16666666666666669 (/ 1 (pow n 2)))) in n 15.024 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 n)) (* 1.0 (log n))) in n 15.024 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 n)) in n 15.024 * [taylor]: Taking taylor expansion of 0.5 in n 15.024 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.024 * [taylor]: Taking taylor expansion of n in n 15.025 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.025 * [taylor]: Taking taylor expansion of 1.0 in n 15.025 * [taylor]: Taking taylor expansion of (log n) in n 15.025 * [taylor]: Taking taylor expansion of n in n 15.025 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (/ 1 (pow n 2))) in n 15.025 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 15.025 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 15.025 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.025 * [taylor]: Taking taylor expansion of n in n 15.026 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (/ 1 n)) (* 1.0 (log n))) (* 0.16666666666666669 (/ 1 (pow n 2)))) in n 15.026 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 n)) (* 1.0 (log n))) in n 15.026 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 n)) in n 15.026 * [taylor]: Taking taylor expansion of 0.5 in n 15.026 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.026 * [taylor]: Taking taylor expansion of n in n 15.026 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.026 * [taylor]: Taking taylor expansion of 1.0 in n 15.026 * [taylor]: Taking taylor expansion of (log n) in n 15.026 * [taylor]: Taking taylor expansion of n in n 15.026 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (/ 1 (pow n 2))) in n 15.026 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 15.026 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 15.026 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.026 * [taylor]: Taking taylor expansion of n in n 15.034 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (log (/ 1 n))) (* 0.5 n)) (* 0.16666666666666669 (pow n 2))) in (n) around 0 15.034 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (/ 1 n))) (* 0.5 n)) (* 0.16666666666666669 (pow n 2))) in n 15.034 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (/ 1 n))) (* 0.5 n)) in n 15.034 * [taylor]: Taking taylor expansion of (* 1.0 (log (/ 1 n))) in n 15.034 * [taylor]: Taking taylor expansion of 1.0 in n 15.034 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.034 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.034 * [taylor]: Taking taylor expansion of n in n 15.034 * [taylor]: Taking taylor expansion of (* 0.5 n) in n 15.035 * [taylor]: Taking taylor expansion of 0.5 in n 15.035 * [taylor]: Taking taylor expansion of n in n 15.035 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 15.035 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 15.035 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.035 * [taylor]: Taking taylor expansion of n in n 15.035 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (/ 1 n))) (* 0.5 n)) (* 0.16666666666666669 (pow n 2))) in n 15.035 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (/ 1 n))) (* 0.5 n)) in n 15.035 * [taylor]: Taking taylor expansion of (* 1.0 (log (/ 1 n))) in n 15.035 * [taylor]: Taking taylor expansion of 1.0 in n 15.035 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.035 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.035 * [taylor]: Taking taylor expansion of n in n 15.035 * [taylor]: Taking taylor expansion of (* 0.5 n) in n 15.035 * [taylor]: Taking taylor expansion of 0.5 in n 15.035 * [taylor]: Taking taylor expansion of n in n 15.035 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 15.035 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 15.035 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.035 * [taylor]: Taking taylor expansion of n in n 15.045 * [approximate]: Taking taylor expansion of (- (* 1.0 (log (/ -1 n))) (+ (* 0.16666666666666669 (pow n 2)) (* 0.5 n))) in (n) around 0 15.045 * [taylor]: Taking taylor expansion of (- (* 1.0 (log (/ -1 n))) (+ (* 0.16666666666666669 (pow n 2)) (* 0.5 n))) in n 15.045 * [taylor]: Taking taylor expansion of (* 1.0 (log (/ -1 n))) in n 15.045 * [taylor]: Taking taylor expansion of 1.0 in n 15.045 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.045 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.045 * [taylor]: Taking taylor expansion of -1 in n 15.045 * [taylor]: Taking taylor expansion of n in n 15.046 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666669 (pow n 2)) (* 0.5 n)) in n 15.046 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 15.046 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 15.046 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.046 * [taylor]: Taking taylor expansion of n in n 15.046 * [taylor]: Taking taylor expansion of (* 0.5 n) in n 15.046 * [taylor]: Taking taylor expansion of 0.5 in n 15.046 * [taylor]: Taking taylor expansion of n in n 15.046 * [taylor]: Taking taylor expansion of (- (* 1.0 (log (/ -1 n))) (+ (* 0.16666666666666669 (pow n 2)) (* 0.5 n))) in n 15.046 * [taylor]: Taking taylor expansion of (* 1.0 (log (/ -1 n))) in n 15.046 * [taylor]: Taking taylor expansion of 1.0 in n 15.046 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.046 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.046 * [taylor]: Taking taylor expansion of -1 in n 15.046 * [taylor]: Taking taylor expansion of n in n 15.046 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666669 (pow n 2)) (* 0.5 n)) in n 15.046 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 15.046 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 15.046 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.046 * [taylor]: Taking taylor expansion of n in n 15.046 * [taylor]: Taking taylor expansion of (* 0.5 n) in n 15.046 * [taylor]: Taking taylor expansion of 0.5 in n 15.046 * [taylor]: Taking taylor expansion of n in n 15.060 * * * [progress]: simplifying candidates 15.061 * [simplify]: Simplifying using # : (- (log 0.16666666666666669) (+ (log n) (log n))) (- (log 0.16666666666666669) (log (* n n))) (log (/ 0.16666666666666669 (* n n))) (exp (/ 0.16666666666666669 (* n n))) (/ (* (* 0.16666666666666669 0.16666666666666669) 0.16666666666666669) (* (* (* n n) n) (* (* n n) n))) (/ (* (* 0.16666666666666669 0.16666666666666669) 0.16666666666666669) (* (* (* n n) (* n n)) (* n n))) (* (cbrt (/ 0.16666666666666669 (* n n))) (cbrt (/ 0.16666666666666669 (* n n)))) (cbrt (/ 0.16666666666666669 (* n n))) (* (* (/ 0.16666666666666669 (* n n)) (/ 0.16666666666666669 (* n n))) (/ 0.16666666666666669 (* n n))) (sqrt (/ 0.16666666666666669 (* n n))) (sqrt (/ 0.16666666666666669 (* n n))) (- 0.16666666666666669) (- (* n n)) (/ (* (cbrt 0.16666666666666669) (cbrt 0.16666666666666669)) n) (/ (cbrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ 1 n) (/ 0.16666666666666669 n) (/ 1 (* n n)) (/ (* n n) 0.16666666666666669) (/ 0.16666666666666669 n) (/ (* n n) (cbrt 0.16666666666666669)) (/ (* n n) (sqrt 0.16666666666666669)) (/ (* n n) 0.16666666666666669) (/ (* (/ (* (exp 1.0) (exp (/ 0.5 n))) (exp (/ 0.16666666666666669 (* n n)))) (exp (* (log n) 1.0))) (exp 1.0)) (/ (* (/ (exp (+ 1.0 (/ 0.5 n))) (exp (/ 0.16666666666666669 (* n n)))) (exp (* (log n) 1.0))) (exp 1.0)) (/ (* (exp (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n)))) (exp (* (log n) 1.0))) (exp 1.0)) (/ (exp (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0))) (exp 1.0)) (log (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)) (exp (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)) (* (cbrt (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)) (cbrt (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0))) (cbrt (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)) (* (* (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0) (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)) (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)) (sqrt (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)) (sqrt (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)) (- (pow (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 3) (pow 1.0 3)) (+ (* (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0))) (+ (* 1.0 1.0) (* (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0))) (- 1.0) (- (* (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0))) (* 1.0 1.0)) (+ (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0) (+ (sqrt (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0))) (sqrt 1.0)) (- (sqrt (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0))) (sqrt 1.0)) (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0) (- (* (log n) 1.0) 1.0) (+ (- (/ 0.16666666666666669 (* n n)) (* (log n) 1.0)) 1.0) (- 1.0) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) (- (+ (* 0.5 (/ 1 n)) (* 1.0 (log n))) (* 0.16666666666666669 (/ 1 (pow n 2)))) (- (* 0.5 (/ 1 n)) (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (- (+ (* 1.0 (log -1)) (* 0.5 (/ 1 n))) (+ (* 0.16666666666666669 (/ 1 (pow n 2))) (* 1.0 (log (/ -1 n))))) 15.064 * * [simplify]: iteration 0 : 112 enodes (cost 737 ) 15.084 * * [simplify]: iteration 1 : 259 enodes (cost 721 ) 15.146 * * [simplify]: iteration 2 : 744 enodes (cost 642 ) 15.440 * * [simplify]: iteration 3 : 3389 enodes (cost 622 ) 16.188 * * [simplify]: iteration done : 5000 enodes (cost 622 ) 16.189 * [simplify]: Simplified to: (log (/ 0.16666666666666669 (* n n))) (log (/ 0.16666666666666669 (* n n))) (log (/ 0.16666666666666669 (* n n))) (exp (/ 0.16666666666666669 (* n n))) (pow (/ 0.16666666666666669 (pow n 2)) 3) (pow (/ 0.16666666666666669 (pow n 2)) 3) (* (cbrt (/ 0.16666666666666669 (* n n))) (cbrt (/ 0.16666666666666669 (* n n)))) (cbrt (/ 0.16666666666666669 (* n n))) (pow (/ 0.16666666666666669 (pow n 2)) 3) (sqrt (/ 0.16666666666666669 (* n n))) (sqrt (/ 0.16666666666666669 (* n n))) (- 0.16666666666666669) (- (* n n)) (/ (* (cbrt 0.16666666666666669) (cbrt 0.16666666666666669)) n) (/ (cbrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ 1 n) (/ 0.16666666666666669 n) (/ 1 (pow n 2)) (/ (* n n) 0.16666666666666669) (/ 0.16666666666666669 n) (/ (* n n) (cbrt 0.16666666666666669)) (/ (* n n) (sqrt 0.16666666666666669)) (/ (* n n) 0.16666666666666669) (* (pow n 1.0) (exp (- (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) 1.0))) (* (pow n 1.0) (exp (- (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) 1.0))) (* (pow n 1.0) (exp (- (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) 1.0))) (* (pow n 1.0) (exp (- (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) 1.0))) (log (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)) (* (pow n 1.0) (exp (- (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) 1.0))) (* (cbrt (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)) (cbrt (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0))) (cbrt (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)) (pow (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0) 3) (sqrt (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)) (sqrt (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)) (- (pow (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 3) (pow 1.0 3)) (+ (* (+ (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0) (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0))) (* 1.0 1.0)) (- 1.0) (- (* (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0))) (* 1.0 1.0)) (+ (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0) (+ (sqrt (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0))) (sqrt 1.0)) (- (sqrt (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0))) (sqrt 1.0)) (- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0) (- (* (log n) 1.0) 1.0) (+ (- (/ 0.16666666666666669 (* n n)) (* (log n) 1.0)) 1.0) (- 1.0) (/ (/ 0.16666666666666669 n) n) (/ (/ 0.16666666666666669 n) n) (/ (/ 0.16666666666666669 n) n) (+ (- (/ 0.5 n) (/ 0.16666666666666669 (pow n 2))) (* 1.0 (log n))) (+ (- (/ 0.5 n) (/ 0.16666666666666669 (pow n 2))) (* 1.0 (log n))) (+ (- (- (/ 0.5 n) (/ 0.16666666666666669 (pow n 2))) (* 1.0 (log (/ -1 n)))) (* 1.0 (log -1))) 16.189 * * * [progress]: adding candidates to table 16.279 * * [progress]: iteration 3 / 4 16.279 * * * [progress]: picking best candidate 16.281 * * * * [pick]: Picked # 16.281 * * * [progress]: localizing error 16.292 * * * [progress]: generating rewritten candidates 16.292 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 16.296 * * * [progress]: generating series expansions 16.296 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 16.296 * [approximate]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in (n) around 0 16.296 * [taylor]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in n 16.296 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 16.296 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.296 * [taylor]: Taking taylor expansion of n in n 16.297 * [taylor]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in n 16.297 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 16.297 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.297 * [taylor]: Taking taylor expansion of n in n 16.304 * [approximate]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in (n) around 0 16.304 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 16.304 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 16.304 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.304 * [taylor]: Taking taylor expansion of n in n 16.304 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 16.305 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 16.305 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.305 * [taylor]: Taking taylor expansion of n in n 16.312 * [approximate]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in (n) around 0 16.312 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 16.312 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 16.312 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.313 * [taylor]: Taking taylor expansion of n in n 16.313 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 16.313 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 16.313 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.313 * [taylor]: Taking taylor expansion of n in n 16.320 * * * [progress]: simplifying candidates 16.321 * [simplify]: Simplifying using # : (- (log 0.16666666666666669) (+ (log n) (log n))) (- (log 0.16666666666666669) (log (* n n))) (log (/ 0.16666666666666669 (* n n))) (exp (/ 0.16666666666666669 (* n n))) (/ (* (* 0.16666666666666669 0.16666666666666669) 0.16666666666666669) (* (* (* n n) n) (* (* n n) n))) (/ (* (* 0.16666666666666669 0.16666666666666669) 0.16666666666666669) (* (* (* n n) (* n n)) (* n n))) (* (cbrt (/ 0.16666666666666669 (* n n))) (cbrt (/ 0.16666666666666669 (* n n)))) (cbrt (/ 0.16666666666666669 (* n n))) (* (* (/ 0.16666666666666669 (* n n)) (/ 0.16666666666666669 (* n n))) (/ 0.16666666666666669 (* n n))) (sqrt (/ 0.16666666666666669 (* n n))) (sqrt (/ 0.16666666666666669 (* n n))) (- 0.16666666666666669) (- (* n n)) (/ (* (cbrt 0.16666666666666669) (cbrt 0.16666666666666669)) n) (/ (cbrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ 1 n) (/ 0.16666666666666669 n) (/ 1 (* n n)) (/ (* n n) 0.16666666666666669) (/ 0.16666666666666669 n) (/ (* n n) (cbrt 0.16666666666666669)) (/ (* n n) (sqrt 0.16666666666666669)) (/ (* n n) 0.16666666666666669) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) 16.322 * * [simplify]: iteration 0 : 43 enodes (cost 185 ) 16.329 * * [simplify]: iteration 1 : 94 enodes (cost 182 ) 16.349 * * [simplify]: iteration 2 : 275 enodes (cost 152 ) 16.450 * * [simplify]: iteration 3 : 1009 enodes (cost 152 ) 17.261 * * [simplify]: iteration 4 : 3807 enodes (cost 152 ) 18.368 * * [simplify]: iteration done : 5000 enodes (cost 152 ) 18.369 * [simplify]: Simplified to: (log (/ 0.16666666666666669 (* n n))) (log (/ 0.16666666666666669 (* n n))) (log (/ 0.16666666666666669 (* n n))) (exp (/ 0.16666666666666669 (* n n))) (pow (/ 0.16666666666666669 (pow n 2)) 3) (pow (/ 0.16666666666666669 (pow n 2)) 3) (* (cbrt (/ 0.16666666666666669 (* n n))) (cbrt (/ 0.16666666666666669 (* n n)))) (cbrt (/ 0.16666666666666669 (* n n))) (pow (/ 0.16666666666666669 (pow n 2)) 3) (sqrt (/ 0.16666666666666669 (* n n))) (sqrt (/ 0.16666666666666669 (* n n))) (- 0.16666666666666669) (- (* n n)) (/ (* (cbrt 0.16666666666666669) (cbrt 0.16666666666666669)) n) (/ (cbrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ 1 n) (/ 0.16666666666666669 n) (/ 1 (* n n)) (* n (/ n 0.16666666666666669)) (/ 0.16666666666666669 n) (/ (* n n) (cbrt 0.16666666666666669)) (/ (* n n) (sqrt 0.16666666666666669)) (* n (/ n 0.16666666666666669)) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) 18.369 * * * [progress]: adding candidates to table 18.420 * [progress]: [Phase 3 of 3] Extracting. 18.422 * [simplify]: Simplifying using # : (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (- (* (log n) 1.0) 1.0)) 18.422 * * [simplify]: iteration 0 : 13 enodes (cost 18 ) 18.422 * * [simplify]: iteration 1 : 16 enodes (cost 18 ) 18.423 * * [simplify]: iteration done : 16 enodes (cost 18 ) 18.423 * [simplify]: Simplified to: (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (- (* (log n) 1.0) 1.0)) 20.405 * [regime-testing]: End program error score: 0 20.438 * [regime-testing]: Target error score: 0