10.829 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.065 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.067 * [simplify]: Simplifying using # : (- (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) 1.0) 0.067 * [simplify]: Sending expressions to egg_math: (- (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0))) h1) 0.069 * * [simplify]: iteration 0 : 18 enodes (cost 8 ) 0.070 * * [simplify]: iteration 1 : 43 enodes (cost 8 ) 0.072 * * [simplify]: iteration 2 : 123 enodes (cost 8 ) 0.074 * * [simplify]: iteration 3 : 212 enodes (cost 8 ) 0.077 * * [simplify]: iteration 4 : 374 enodes (cost 8 ) 0.080 * * [simplify]: iteration 5 : 496 enodes (cost 8 ) 0.085 * * [simplify]: iteration 6 : 715 enodes (cost 8 ) 0.093 * * [simplify]: iteration 7 : 967 enodes (cost 8 ) 0.100 * * [simplify]: iteration 8 : 1121 enodes (cost 8 ) 0.108 * * [simplify]: iteration 9 : 1221 enodes (cost 8 ) 0.117 * * [simplify]: iteration 10 : 1497 enodes (cost 8 ) 0.128 * * [simplify]: iteration 11 : 1752 enodes (cost 8 ) 0.143 * * [simplify]: iteration 12 : 2132 enodes (cost 8 ) 0.160 * * [simplify]: iteration 13 : 2469 enodes (cost 8 ) 0.182 * * [simplify]: iteration 14 : 3314 enodes (cost 8 ) 0.226 * * [simplify]: iteration 15 : 5001 enodes (cost 8 ) 0.227 * [simplify]: Simplified to: (- (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) 1.0) 0.227 * * [progress]: iteration 1 / 4 0.227 * * * [progress]: picking best candidate 0.229 * * * * [pick]: Picked # 0.229 * * * [progress]: localizing error 0.243 * * * [progress]: generating rewritten candidates 0.243 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.265 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.273 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.304 * * * [progress]: generating series expansions 0.304 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.305 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) (* n (log n))) in (n) around 0 0.305 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) (* n (log n))) in n 0.305 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) in n 0.305 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ n 1.0))) in n 0.305 * [taylor]: Taking taylor expansion of 1.0 in n 0.305 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.305 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.305 * [taylor]: Taking taylor expansion of n in n 0.305 * [taylor]: Taking taylor expansion of 1.0 in n 0.305 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) n) in n 0.306 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.306 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.306 * [taylor]: Taking taylor expansion of n in n 0.306 * [taylor]: Taking taylor expansion of 1.0 in n 0.306 * [taylor]: Taking taylor expansion of n in n 0.306 * [taylor]: Taking taylor expansion of (* n (log n)) in n 0.306 * [taylor]: Taking taylor expansion of n in n 0.306 * [taylor]: Taking taylor expansion of (log n) in n 0.306 * [taylor]: Taking taylor expansion of n in n 0.306 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) (* n (log n))) in n 0.306 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) in n 0.306 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ n 1.0))) in n 0.306 * [taylor]: Taking taylor expansion of 1.0 in n 0.306 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.307 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.307 * [taylor]: Taking taylor expansion of n in n 0.307 * [taylor]: Taking taylor expansion of 1.0 in n 0.307 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) n) in n 0.307 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.307 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.307 * [taylor]: Taking taylor expansion of n in n 0.307 * [taylor]: Taking taylor expansion of 1.0 in n 0.308 * [taylor]: Taking taylor expansion of n in n 0.308 * [taylor]: Taking taylor expansion of (* n (log n)) in n 0.308 * [taylor]: Taking taylor expansion of n in n 0.308 * [taylor]: Taking taylor expansion of (log n) in n 0.308 * [taylor]: Taking taylor expansion of n in n 0.348 * [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 0.348 * [taylor]: Taking taylor expansion of (- (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) (/ (log (/ 1 n)) n)) in n 0.348 * [taylor]: Taking taylor expansion of (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) in n 0.348 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 n) 1.0)) n) in n 0.348 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.348 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.348 * [taylor]: Taking taylor expansion of n in n 0.348 * [taylor]: Taking taylor expansion of 1.0 in n 0.349 * [taylor]: Taking taylor expansion of n in n 0.349 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ (/ 1 n) 1.0))) in n 0.349 * [taylor]: Taking taylor expansion of 1.0 in n 0.349 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.350 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.350 * [taylor]: Taking taylor expansion of n in n 0.350 * [taylor]: Taking taylor expansion of 1.0 in n 0.350 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 0.350 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 0.350 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.350 * [taylor]: Taking taylor expansion of n in n 0.351 * [taylor]: Taking taylor expansion of n in n 0.351 * [taylor]: Taking taylor expansion of (- (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) (/ (log (/ 1 n)) n)) in n 0.351 * [taylor]: Taking taylor expansion of (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) in n 0.351 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 n) 1.0)) n) in n 0.351 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.351 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.351 * [taylor]: Taking taylor expansion of n in n 0.352 * [taylor]: Taking taylor expansion of 1.0 in n 0.352 * [taylor]: Taking taylor expansion of n in n 0.353 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ (/ 1 n) 1.0))) in n 0.353 * [taylor]: Taking taylor expansion of 1.0 in n 0.353 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.353 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.353 * [taylor]: Taking taylor expansion of n in n 0.353 * [taylor]: Taking taylor expansion of 1.0 in n 0.353 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 0.353 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 0.353 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.353 * [taylor]: Taking taylor expansion of n in n 0.354 * [taylor]: Taking taylor expansion of n in n 0.403 * [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 0.403 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) (/ (log (- 1.0 (/ 1 n))) n)) in n 0.403 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) in n 0.403 * [taylor]: Taking taylor expansion of (* 1.0 (log (- 1.0 (/ 1 n)))) in n 0.403 * [taylor]: Taking taylor expansion of 1.0 in n 0.403 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.403 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.403 * [taylor]: Taking taylor expansion of 1.0 in n 0.403 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.403 * [taylor]: Taking taylor expansion of n in n 0.404 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 0.404 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 0.404 * [taylor]: Taking taylor expansion of (/ -1 n) in n 0.404 * [taylor]: Taking taylor expansion of -1 in n 0.404 * [taylor]: Taking taylor expansion of n in n 0.404 * [taylor]: Taking taylor expansion of n in n 0.406 * [taylor]: Taking taylor expansion of (/ (log (- 1.0 (/ 1 n))) n) in n 0.406 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.406 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.406 * [taylor]: Taking taylor expansion of 1.0 in n 0.406 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.406 * [taylor]: Taking taylor expansion of n in n 0.406 * [taylor]: Taking taylor expansion of n in n 0.408 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) (/ (log (- 1.0 (/ 1 n))) n)) in n 0.408 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) in n 0.408 * [taylor]: Taking taylor expansion of (* 1.0 (log (- 1.0 (/ 1 n)))) in n 0.408 * [taylor]: Taking taylor expansion of 1.0 in n 0.408 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.408 * [taylor]: Taking taylor expansion of 1.0 in n 0.408 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.408 * [taylor]: Taking taylor expansion of n in n 0.409 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 0.409 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 0.409 * [taylor]: Taking taylor expansion of (/ -1 n) in n 0.409 * [taylor]: Taking taylor expansion of -1 in n 0.409 * [taylor]: Taking taylor expansion of n in n 0.409 * [taylor]: Taking taylor expansion of n in n 0.410 * [taylor]: Taking taylor expansion of (/ (log (- 1.0 (/ 1 n))) n) in n 0.410 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.410 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.410 * [taylor]: Taking taylor expansion of 1.0 in n 0.410 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.410 * [taylor]: Taking taylor expansion of n in n 0.411 * [taylor]: Taking taylor expansion of n in n 0.469 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.469 * [approximate]: Taking taylor expansion of (* n (log n)) in (n) around 0 0.469 * [taylor]: Taking taylor expansion of (* n (log n)) in n 0.470 * [taylor]: Taking taylor expansion of n in n 0.470 * [taylor]: Taking taylor expansion of (log n) in n 0.470 * [taylor]: Taking taylor expansion of n in n 0.470 * [taylor]: Taking taylor expansion of (* n (log n)) in n 0.470 * [taylor]: Taking taylor expansion of n in n 0.470 * [taylor]: Taking taylor expansion of (log n) in n 0.470 * [taylor]: Taking taylor expansion of n in n 0.535 * [approximate]: Taking taylor expansion of (/ (log (/ 1 n)) n) in (n) around 0 0.535 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 0.535 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 0.535 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.535 * [taylor]: Taking taylor expansion of n in n 0.535 * [taylor]: Taking taylor expansion of n in n 0.536 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 0.536 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 0.536 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.536 * [taylor]: Taking taylor expansion of n in n 0.536 * [taylor]: Taking taylor expansion of n in n 0.579 * [approximate]: Taking taylor expansion of (* -1 (/ (log (/ -1 n)) n)) in (n) around 0 0.579 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 n)) n)) in n 0.579 * [taylor]: Taking taylor expansion of -1 in n 0.579 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 0.579 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 0.579 * [taylor]: Taking taylor expansion of (/ -1 n) in n 0.579 * [taylor]: Taking taylor expansion of -1 in n 0.579 * [taylor]: Taking taylor expansion of n in n 0.579 * [taylor]: Taking taylor expansion of n in n 0.580 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 n)) n)) in n 0.580 * [taylor]: Taking taylor expansion of -1 in n 0.580 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 0.580 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 0.580 * [taylor]: Taking taylor expansion of (/ -1 n) in n 0.580 * [taylor]: Taking taylor expansion of -1 in n 0.580 * [taylor]: Taking taylor expansion of n in n 0.581 * [taylor]: Taking taylor expansion of n in n 0.634 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.634 * [approximate]: Taking taylor expansion of (* (log (+ n 1.0)) (+ n 1.0)) in (n) around 0 0.634 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) (+ n 1.0)) in n 0.634 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.634 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.634 * [taylor]: Taking taylor expansion of n in n 0.634 * [taylor]: Taking taylor expansion of 1.0 in n 0.635 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.635 * [taylor]: Taking taylor expansion of n in n 0.635 * [taylor]: Taking taylor expansion of 1.0 in n 0.635 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) (+ n 1.0)) in n 0.635 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.635 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.635 * [taylor]: Taking taylor expansion of n in n 0.635 * [taylor]: Taking taylor expansion of 1.0 in n 0.635 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.635 * [taylor]: Taking taylor expansion of n in n 0.635 * [taylor]: Taking taylor expansion of 1.0 in n 0.655 * [approximate]: Taking taylor expansion of (* (+ (/ 1 n) 1.0) (log (+ (/ 1 n) 1.0))) in (n) around 0 0.655 * [taylor]: Taking taylor expansion of (* (+ (/ 1 n) 1.0) (log (+ (/ 1 n) 1.0))) in n 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.655 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.655 * [taylor]: Taking taylor expansion of n in n 0.655 * [taylor]: Taking taylor expansion of 1.0 in n 0.655 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.655 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.655 * [taylor]: Taking taylor expansion of n in n 0.655 * [taylor]: Taking taylor expansion of 1.0 in n 0.656 * [taylor]: Taking taylor expansion of (* (+ (/ 1 n) 1.0) (log (+ (/ 1 n) 1.0))) in n 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.656 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.656 * [taylor]: Taking taylor expansion of n in n 0.656 * [taylor]: Taking taylor expansion of 1.0 in n 0.656 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.656 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.656 * [taylor]: Taking taylor expansion of n in n 0.656 * [taylor]: Taking taylor expansion of 1.0 in n 0.670 * [approximate]: Taking taylor expansion of (* (log (- 1.0 (/ 1 n))) (- 1.0 (/ 1 n))) in (n) around 0 0.670 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (/ 1 n))) (- 1.0 (/ 1 n))) in n 0.671 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.671 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.671 * [taylor]: Taking taylor expansion of 1.0 in n 0.671 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.671 * [taylor]: Taking taylor expansion of n in n 0.671 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.671 * [taylor]: Taking taylor expansion of 1.0 in n 0.671 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.671 * [taylor]: Taking taylor expansion of n in n 0.672 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (/ 1 n))) (- 1.0 (/ 1 n))) in n 0.672 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.672 * [taylor]: Taking taylor expansion of 1.0 in n 0.672 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.672 * [taylor]: Taking taylor expansion of n in n 0.673 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.673 * [taylor]: Taking taylor expansion of 1.0 in n 0.673 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.673 * [taylor]: Taking taylor expansion of n in n 0.697 * * * [progress]: simplifying candidates 0.699 * [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))))) 0.699 * [simplify]: Sending expressions to egg_math: (/ (exp (* (+ h0 h1) (log (+ h0 h1)))) (exp (* h0 (log h0)))) (log (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0)))) (exp (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0)))) (* (cbrt (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0)))) (cbrt (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0))))) (cbrt (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0)))) (* (* (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0))) (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0)))) (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0)))) (sqrt (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0)))) (sqrt (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0)))) (- (pow (* (+ h0 h1) (log (+ h0 h1))) 3) (pow (* h0 (log h0)) 3)) (+ (* (* (+ h0 h1) (log (+ h0 h1))) (* (+ h0 h1) (log (+ h0 h1)))) (+ (* (* h0 (log h0)) (* h0 (log h0))) (* (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0))))) (- (* h0 (log h0))) (- (* (* (+ h0 h1) (log (+ h0 h1))) (* (+ h0 h1) (log (+ h0 h1)))) (* (* h0 (log h0)) (* h0 (log h0)))) (+ (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0))) (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log (* (cbrt h0) (cbrt h0))))) (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log (sqrt h0)))) (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log 1))) (- (* (+ h0 h1) (log (+ h0 h1))) (* (log (* (cbrt h0) (cbrt h0))) h0)) (- (* (+ h0 h1) (log (+ h0 h1))) (* (log (sqrt h0)) h0)) (- (* (+ h0 h1) (log (+ h0 h1))) (* (log 1) h0)) (- (* (+ h0 h1) (log (cbrt (+ h0 h1)))) (* h0 (log h0))) (- (* (+ h0 h1) (log (sqrt (+ h0 h1)))) (* h0 (log h0))) (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0))) (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0))) (- (* (log (cbrt (+ h0 h1))) (+ h0 h1)) (* h0 (log h0))) (- (* (log (sqrt (+ h0 h1))) (+ h0 h1)) (* h0 (log h0))) (- (* (log (+ h0 h1)) (+ h0 h1)) (* h0 (log h0))) (- (* (log (+ h0 h1)) (+ h0 h1)) (* h0 (log h0))) (- (* h0 (log h0))) (* h0 (log h0)) (+ (log h0) (log (log h0))) (log (* h0 (log h0))) (exp (* h0 (log h0))) (* (* (* h0 h0) h0) (* (* (log h0) (log h0)) (log h0))) (* (cbrt (* h0 (log h0))) (cbrt (* h0 (log h0)))) (cbrt (* h0 (log h0))) (* (* (* h0 (log h0)) (* h0 (log h0))) (* h0 (log h0))) (sqrt (* h0 (log h0))) (sqrt (* h0 (log h0))) (* (sqrt h0) (sqrt (log h0))) (* (sqrt h0) (sqrt (log h0))) (* h0 (log (* (cbrt h0) (cbrt h0)))) (* h0 (log (cbrt h0))) (* h0 (log (sqrt h0))) (* h0 (log (sqrt h0))) (* h0 (log 1)) (* h0 (log h0)) (* (log (* (cbrt h0) (cbrt h0))) h0) (* (log (cbrt h0)) h0) (* (log (sqrt h0)) h0) (* (log (sqrt h0)) h0) (* (log 1) h0) (* (log h0) h0) (* h0 1) (* h0 (* (cbrt (log h0)) (cbrt (log h0)))) (* h0 (sqrt (log h0))) (* h0 1) (* (cbrt h0) (log h0)) (* (sqrt h0) (log h0)) (* h0 (log h0)) (* (+ h0 h1) (log (+ h0 h1))) (+ (log (+ h0 h1)) (log (log (+ h0 h1)))) (log (* (+ h0 h1) (log (+ h0 h1)))) (exp (* (+ h0 h1) (log (+ h0 h1)))) (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1)))) (* (cbrt (* (+ h0 h1) (log (+ h0 h1)))) (cbrt (* (+ h0 h1) (log (+ h0 h1))))) (cbrt (* (+ h0 h1) (log (+ h0 h1)))) (* (* (* (+ h0 h1) (log (+ h0 h1))) (* (+ h0 h1) (log (+ h0 h1)))) (* (+ h0 h1) (log (+ h0 h1)))) (sqrt (* (+ h0 h1) (log (+ h0 h1)))) (sqrt (* (+ h0 h1) (log (+ h0 h1)))) (* (sqrt (+ h0 h1)) (sqrt (log (+ h0 h1)))) (* (sqrt (+ h0 h1)) (sqrt (log (+ h0 h1)))) (* (+ h0 h1) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (* (+ h0 h1) (log (cbrt (+ h0 h1)))) (* (+ h0 h1) (log (sqrt (+ h0 h1)))) (* (+ h0 h1) (log (sqrt (+ h0 h1)))) (* (+ h0 h1) (log 1)) (* (+ h0 h1) (log (+ h0 h1))) (* (+ h0 h1) (log 1)) (* (+ h0 h1) (log (+ h0 h1))) (* (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (+ h0 h1)) (* (log (cbrt (+ h0 h1))) (+ h0 h1)) (* (log (sqrt (+ h0 h1))) (+ h0 h1)) (* (log (sqrt (+ h0 h1))) (+ h0 h1)) (* (log 1) (+ h0 h1)) (* (log (+ h0 h1)) (+ h0 h1)) (* (log 1) (+ h0 h1)) (* (log (+ h0 h1)) (+ h0 h1)) (* (+ h0 h1) 1) (* (+ h0 h1) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1))))) (* (+ h0 h1) (sqrt (log (+ h0 h1)))) (* (+ h0 h1) 1) (* (cbrt (+ h0 h1)) (log (+ h0 h1))) (* (sqrt (+ h0 h1)) (log (+ h0 h1))) (* (+ h0 h1) (log (+ h0 h1))) (* (+ h0 h1) (log (+ h0 h1))) (* (+ (pow h0 3) (pow h1 3)) (log (+ h0 h1))) (* (- (* h0 h0) (* h1 h1)) (log (+ h0 h1))) (- (+ (* h1 h0) (+ (* h1 (log h1)) (+ (* h1 (pow h0 2)) (* (log h1) h0)))) (+ (* h2 (/ (pow h0 2) (pow h1 2))) (* h0 (log h0)))) (- (+ (* h2 (/ 1 h0)) h1) (+ (* h1 (log (/ 1 h0))) (* h3 (/ 1 (pow h0 2))))) (- (+ (* h1 (log -1)) (+ (* h2 (/ 1 h0)) h1)) (+ (* h3 (/ 1 (pow h0 2))) (* h1 (log (/ -1 h0))))) (* h0 (log h0)) (* -1 (* (log (/ 1 h0)) h0)) (* (- (log -1) (log (/ -1 h0))) h0) (- (+ (* h1 h0) (+ (* h1 (log h1)) (+ (* h1 (pow h0 2)) (* (log h1) h0)))) (* h2 (/ (pow h0 2) (pow h1 2)))) (- (+ (* h2 (/ 1 h0)) h1) (+ (* h1 (log (/ 1 h0))) (* (log (/ 1 h0)) h0))) (- (+ (* h1 (log -1)) (+ (* h2 (/ 1 h0)) (+ (* (log -1) h0) h1))) (+ (* h0 (log (/ -1 h0))) (* h1 (log (/ -1 h0))))) 0.704 * * [simplify]: iteration 0 : 419 enodes (cost 643 ) 0.711 * * [simplify]: iteration 1 : 1786 enodes (cost 587 ) 0.746 * * [simplify]: iteration 2 : 5001 enodes (cost 568 ) 0.749 * [simplify]: Simplified to: (* (pow (+ n 1.0) (+ n 1.0)) (pow (/ 1 n) n)) (log (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (* (pow (+ n 1.0) (+ n 1.0)) (pow (/ 1 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 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0))))) (- (* 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))) (* (log (* (cbrt n) (cbrt n))) n)) (- (* (+ n 1.0) (log (+ n 1.0))) (* (log (sqrt n)) n)) (* (log (+ n 1.0)) (+ n 1.0)) (- (* (+ n 1.0) (log (+ n 1.0))) (* (log (* (cbrt n) (cbrt n))) n)) (- (* (+ n 1.0) (log (+ n 1.0))) (* (log (sqrt n)) n)) (* (log (+ n 1.0)) (+ n 1.0)) (- (* (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))) (- (* (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 n))) (log (* n (log n))) (pow n n) (pow (* n (log n)) 3) (* (cbrt (* n (log n))) (cbrt (* n (log n)))) (cbrt (* n (log n))) (pow (* n (log 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))) (* n (log (sqrt n))) (* n (log (sqrt n))) 0 (* n (log n)) (* n (* 2 (log (cbrt n)))) (* n (log (cbrt n))) (* n (log (sqrt n))) (* n (log (sqrt n))) 0 (* n (log n)) n (* n (* (cbrt (log n)) (cbrt (log n)))) (* n (sqrt (log n))) n (* (cbrt n) (log n)) (* (sqrt n) (log n)) (* n (log n)) (* (log (+ n 1.0)) (+ n 1.0)) (log (* (+ n 1.0) (log (+ n 1.0)))) (log (* (+ n 1.0) (log (+ n 1.0)))) (pow (+ n 1.0) (+ n 1.0)) (pow (* (+ n 1.0) (log (+ 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 (* (+ n 1.0) (log (+ 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)) (* (log (sqrt (+ n 1.0))) (+ n 1.0)) (* (log (sqrt (+ n 1.0))) (+ n 1.0)) 0 (* (log (+ n 1.0)) (+ n 1.0)) 0 (* (log (+ n 1.0)) (+ n 1.0)) (* (+ n 1.0) (* 2 (log (cbrt (+ 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)) 0 (* (log (+ n 1.0)) (+ n 1.0)) 0 (* (log (+ n 1.0)) (+ n 1.0)) (+ n 1.0) (* (+ n 1.0) (* (cbrt (log (+ n 1.0))) (cbrt (log (+ n 1.0))))) (* (+ n 1.0) (sqrt (log (+ n 1.0)))) (+ n 1.0) (* (cbrt (+ n 1.0)) (log (+ n 1.0))) (* (sqrt (+ n 1.0)) (log (+ n 1.0))) (* (log (+ n 1.0)) (+ n 1.0)) (* (log (+ n 1.0)) (+ 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 (log 1.0))) (* (log 1.0) n)) (* 1.0 (pow n 2))) (* n (log n))) (* 0.5 (/ (pow n 2) (pow 1.0 2)))) (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) (- (+ (* 1.0 (log -1)) (+ (* 0.5 (/ 1 n)) 1.0)) (+ (* 0.16666666666666669 (/ 1 (pow n 2))) (* 1.0 (log (/ -1 n))))) (* n (log n)) (* n (log n)) (* n (log n)) (+ (* 1.0 (+ n (log 1.0))) (- (+ (* 1.0 (pow n 2)) (* (log 1.0) n)) (* 0.5 (/ (pow n 2) (pow 1.0 2))))) (+ 1.0 (- (* 0.5 (/ 1 n)) (* (log (/ 1 n)) (+ n 1.0)))) (+ (* 1.0 (log -1)) (- (+ (* 0.5 (/ 1 n)) (+ (* (log -1) n) 1.0)) (* (log (/ -1 n)) (+ n 1.0)))) 0.750 * * * [progress]: adding candidates to table 0.920 * * [progress]: iteration 2 / 4 0.920 * * * [progress]: picking best candidate 0.922 * * * * [pick]: Picked # 0.922 * * * [progress]: localizing error 0.937 * * * [progress]: generating rewritten candidates 0.937 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 0.945 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 0.970 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.987 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.591 * * * [progress]: generating series expansions 1.591 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 1.591 * [approximate]: Taking taylor expansion of (/ 1 (pow n 2)) in (n) around 0 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.591 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.591 * [taylor]: Taking taylor expansion of n in n 1.592 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.592 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.592 * [taylor]: Taking taylor expansion of n in n 1.601 * [approximate]: Taking taylor expansion of (pow n 2) in (n) around 0 1.601 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.601 * [taylor]: Taking taylor expansion of n in n 1.601 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.601 * [taylor]: Taking taylor expansion of n in n 1.605 * [approximate]: Taking taylor expansion of (pow n 2) in (n) around 0 1.605 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.605 * [taylor]: Taking taylor expansion of n in n 1.605 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.605 * [taylor]: Taking taylor expansion of n in n 1.609 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 1.609 * [approximate]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in (n) around 0 1.609 * [taylor]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in n 1.609 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.609 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.609 * [taylor]: Taking taylor expansion of n in n 1.610 * [taylor]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in n 1.610 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.610 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.610 * [taylor]: Taking taylor expansion of n in n 1.617 * [approximate]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in (n) around 0 1.617 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.617 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.617 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.617 * [taylor]: Taking taylor expansion of n in n 1.617 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.617 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.617 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.617 * [taylor]: Taking taylor expansion of n in n 1.624 * [approximate]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in (n) around 0 1.624 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.624 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.624 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.624 * [taylor]: Taking taylor expansion of n in n 1.625 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.625 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.625 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.625 * [taylor]: Taking taylor expansion of n in n 1.632 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.632 * [approximate]: Taking taylor expansion of (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) in (n) around 0 1.632 * [taylor]: Taking taylor expansion of (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) in n 1.632 * [taylor]: Taking taylor expansion of 1.0 in n 1.632 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))) in n 1.632 * [taylor]: Taking taylor expansion of (* 1.0 (log (/ 1 n))) in n 1.632 * [taylor]: Taking taylor expansion of 1.0 in n 1.632 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.632 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.632 * [taylor]: Taking taylor expansion of n in n 1.633 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (/ 1 (pow n 2))) in n 1.633 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.633 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.633 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.633 * [taylor]: Taking taylor expansion of n in n 1.633 * [taylor]: Taking taylor expansion of (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) in n 1.633 * [taylor]: Taking taylor expansion of 1.0 in n 1.633 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))) in n 1.633 * [taylor]: Taking taylor expansion of (* 1.0 (log (/ 1 n))) in n 1.633 * [taylor]: Taking taylor expansion of 1.0 in n 1.633 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.633 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.633 * [taylor]: Taking taylor expansion of n in n 1.634 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (/ 1 (pow n 2))) in n 1.634 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.634 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.634 * [taylor]: Taking taylor expansion of n in n 1.700 * [approximate]: Taking taylor expansion of (- 1.0 (+ (* 0.16666666666666669 (pow n 2)) (* 1.0 (log n)))) in (n) around 0 1.700 * [taylor]: Taking taylor expansion of (- 1.0 (+ (* 0.16666666666666669 (pow n 2)) (* 1.0 (log n)))) in n 1.700 * [taylor]: Taking taylor expansion of 1.0 in n 1.700 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666669 (pow n 2)) (* 1.0 (log n))) in n 1.700 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.700 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.700 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.700 * [taylor]: Taking taylor expansion of n in n 1.700 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.700 * [taylor]: Taking taylor expansion of 1.0 in n 1.700 * [taylor]: Taking taylor expansion of (log n) in n 1.700 * [taylor]: Taking taylor expansion of n in n 1.701 * [taylor]: Taking taylor expansion of (- 1.0 (+ (* 0.16666666666666669 (pow n 2)) (* 1.0 (log n)))) in n 1.701 * [taylor]: Taking taylor expansion of 1.0 in n 1.701 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666669 (pow n 2)) (* 1.0 (log n))) in n 1.701 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.701 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.701 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.701 * [taylor]: Taking taylor expansion of n in n 1.701 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.701 * [taylor]: Taking taylor expansion of 1.0 in n 1.701 * [taylor]: Taking taylor expansion of (log n) in n 1.701 * [taylor]: Taking taylor expansion of n in n 1.830 * [approximate]: Taking taylor expansion of (- 1.0 (+ (* 1.0 (log (* -1 n))) (* 0.16666666666666669 (pow n 2)))) in (n) around 0 1.830 * [taylor]: Taking taylor expansion of (- 1.0 (+ (* 1.0 (log (* -1 n))) (* 0.16666666666666669 (pow n 2)))) in n 1.830 * [taylor]: Taking taylor expansion of 1.0 in n 1.830 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (* -1 n))) (* 0.16666666666666669 (pow n 2))) in n 1.830 * [taylor]: Taking taylor expansion of (* 1.0 (log (* -1 n))) in n 1.830 * [taylor]: Taking taylor expansion of 1.0 in n 1.830 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 1.830 * [taylor]: Taking taylor expansion of (* -1 n) in n 1.830 * [taylor]: Taking taylor expansion of -1 in n 1.830 * [taylor]: Taking taylor expansion of n in n 1.831 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.831 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.831 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.831 * [taylor]: Taking taylor expansion of n in n 1.831 * [taylor]: Taking taylor expansion of (- 1.0 (+ (* 1.0 (log (* -1 n))) (* 0.16666666666666669 (pow n 2)))) in n 1.831 * [taylor]: Taking taylor expansion of 1.0 in n 1.831 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (* -1 n))) (* 0.16666666666666669 (pow n 2))) in n 1.831 * [taylor]: Taking taylor expansion of (* 1.0 (log (* -1 n))) in n 1.831 * [taylor]: Taking taylor expansion of 1.0 in n 1.831 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 1.831 * [taylor]: Taking taylor expansion of (* -1 n) in n 1.831 * [taylor]: Taking taylor expansion of -1 in n 1.831 * [taylor]: Taking taylor expansion of n in n 1.832 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.832 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.832 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.832 * [taylor]: Taking taylor expansion of n in n 1.977 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.977 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 n)) (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) in (n) around 0 1.977 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 n)) (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) in n 1.977 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 n)) in n 1.977 * [taylor]: Taking taylor expansion of 0.5 in n 1.977 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.977 * [taylor]: Taking taylor expansion of n in n 1.977 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))) in n 1.977 * [taylor]: Taking taylor expansion of (* 1.0 (log (/ 1 n))) in n 1.978 * [taylor]: Taking taylor expansion of 1.0 in n 1.978 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.978 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.978 * [taylor]: Taking taylor expansion of n in n 1.978 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (/ 1 (pow n 2))) in n 1.978 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.978 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.978 * [taylor]: Taking taylor expansion of n in n 1.978 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 n)) (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) in n 1.979 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 n)) in n 1.979 * [taylor]: Taking taylor expansion of 0.5 in n 1.979 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.979 * [taylor]: Taking taylor expansion of n in n 1.979 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))) in n 1.979 * [taylor]: Taking taylor expansion of (* 1.0 (log (/ 1 n))) in n 1.979 * [taylor]: Taking taylor expansion of 1.0 in n 1.979 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.979 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.979 * [taylor]: Taking taylor expansion of n in n 1.979 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (/ 1 (pow n 2))) in n 1.979 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.979 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.979 * [taylor]: Taking taylor expansion of n in n 1.986 * [approximate]: Taking taylor expansion of (- (* 0.5 n) (+ (* 0.16666666666666669 (pow n 2)) (* 1.0 (log n)))) in (n) around 0 1.986 * [taylor]: Taking taylor expansion of (- (* 0.5 n) (+ (* 0.16666666666666669 (pow n 2)) (* 1.0 (log n)))) in n 1.986 * [taylor]: Taking taylor expansion of (* 0.5 n) in n 1.986 * [taylor]: Taking taylor expansion of 0.5 in n 1.986 * [taylor]: Taking taylor expansion of n in n 1.986 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666669 (pow n 2)) (* 1.0 (log n))) in n 1.986 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.987 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.987 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.987 * [taylor]: Taking taylor expansion of n in n 1.987 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.987 * [taylor]: Taking taylor expansion of 1.0 in n 1.987 * [taylor]: Taking taylor expansion of (log n) in n 1.987 * [taylor]: Taking taylor expansion of n in n 1.987 * [taylor]: Taking taylor expansion of (- (* 0.5 n) (+ (* 0.16666666666666669 (pow n 2)) (* 1.0 (log n)))) in n 1.987 * [taylor]: Taking taylor expansion of (* 0.5 n) in n 1.987 * [taylor]: Taking taylor expansion of 0.5 in n 1.987 * [taylor]: Taking taylor expansion of n in n 1.987 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666669 (pow n 2)) (* 1.0 (log n))) in n 1.987 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.987 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.987 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.987 * [taylor]: Taking taylor expansion of n in n 1.987 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.987 * [taylor]: Taking taylor expansion of 1.0 in n 1.987 * [taylor]: Taking taylor expansion of (log n) in n 1.987 * [taylor]: Taking taylor expansion of n in n 1.995 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (log (* -1 n))) (+ (* 0.16666666666666669 (pow n 2)) (* 0.5 n)))) in (n) around 0 1.995 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (* -1 n))) (+ (* 0.16666666666666669 (pow n 2)) (* 0.5 n)))) in n 1.995 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (* -1 n))) (+ (* 0.16666666666666669 (pow n 2)) (* 0.5 n))) in n 1.995 * [taylor]: Taking taylor expansion of (* 1.0 (log (* -1 n))) in n 1.995 * [taylor]: Taking taylor expansion of 1.0 in n 1.996 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 1.996 * [taylor]: Taking taylor expansion of (* -1 n) in n 1.996 * [taylor]: Taking taylor expansion of -1 in n 1.996 * [taylor]: Taking taylor expansion of n in n 1.996 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666669 (pow n 2)) (* 0.5 n)) in n 1.996 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.996 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.996 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.996 * [taylor]: Taking taylor expansion of n in n 1.997 * [taylor]: Taking taylor expansion of (* 0.5 n) in n 1.997 * [taylor]: Taking taylor expansion of 0.5 in n 1.997 * [taylor]: Taking taylor expansion of n in n 1.997 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (* -1 n))) (+ (* 0.16666666666666669 (pow n 2)) (* 0.5 n)))) in n 1.997 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (* -1 n))) (+ (* 0.16666666666666669 (pow n 2)) (* 0.5 n))) in n 1.997 * [taylor]: Taking taylor expansion of (* 1.0 (log (* -1 n))) in n 1.997 * [taylor]: Taking taylor expansion of 1.0 in n 1.997 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 1.997 * [taylor]: Taking taylor expansion of (* -1 n) in n 1.997 * [taylor]: Taking taylor expansion of -1 in n 1.997 * [taylor]: Taking taylor expansion of n in n 1.997 * [taylor]: Taking taylor expansion of (+ (* 0.16666666666666669 (pow n 2)) (* 0.5 n)) in n 1.998 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.998 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.998 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.998 * [taylor]: Taking taylor expansion of n in n 1.998 * [taylor]: Taking taylor expansion of (* 0.5 n) in n 1.998 * [taylor]: Taking taylor expansion of 0.5 in n 1.998 * [taylor]: Taking taylor expansion of n in n 2.010 * * * [progress]: simplifying candidates 2.013 * [simplify]: Simplifying using # : (- 2) (- (* (log n) 2)) (- (* (log n) 2)) (- (log (pow n 2))) (- 0 (* (log n) 2)) (- 0 (* (log n) 2)) (- 0 (log (pow n 2))) (- (log 1) (* (log n) 2)) (- (log 1) (* (log n) 2)) (- (log 1) (log (pow n 2))) (log (/ 1 (pow n 2))) (exp (/ 1 (pow n 2))) (/ (* (* 1 1) 1) (* (* (pow n 2) (pow n 2)) (pow n 2))) (* (cbrt (/ 1 (pow n 2))) (cbrt (/ 1 (pow n 2)))) (cbrt (/ 1 (pow n 2))) (* (* (/ 1 (pow n 2)) (/ 1 (pow n 2))) (/ 1 (pow n 2))) (sqrt (/ 1 (pow n 2))) (sqrt (/ 1 (pow n 2))) (- 1) (- (pow n 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt n) (cbrt n)) 2)) (/ (cbrt 1) (pow (cbrt n) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt n) 2)) (/ (cbrt 1) (pow (sqrt n) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow n 2)) (/ (* (cbrt 1) (cbrt 1)) n) (/ (cbrt 1) n) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ (cbrt 1) (cbrt (pow n 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow n 2))) (/ (cbrt 1) (sqrt (pow n 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow n 2)) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ 2 2))) (/ (cbrt 1) (pow n (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt n) (cbrt n)) 2)) (/ (sqrt 1) (pow (cbrt n) 2)) (/ (sqrt 1) (pow (sqrt n) 2)) (/ (sqrt 1) (pow (sqrt n) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow n 2)) (/ (sqrt 1) n) (/ (sqrt 1) n) (/ (sqrt 1) (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ (sqrt 1) (cbrt (pow n 2))) (/ (sqrt 1) (sqrt (pow n 2))) (/ (sqrt 1) (sqrt (pow n 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow n 2)) (/ (sqrt 1) (pow n (/ 2 2))) (/ (sqrt 1) (pow n (/ 2 2))) (/ 1 (pow (* (cbrt n) (cbrt n)) 2)) (/ 1 (pow (cbrt n) 2)) (/ 1 (pow (sqrt n) 2)) (/ 1 (pow (sqrt n) 2)) (/ 1 (pow 1 2)) (/ 1 (pow n 2)) (/ 1 n) (/ 1 n) (/ 1 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 1 (cbrt (pow n 2))) (/ 1 (sqrt (pow n 2))) (/ 1 (sqrt (pow n 2))) (/ 1 1) (/ 1 (pow n 2)) (/ 1 (pow n (/ 2 2))) (/ 1 (pow n (/ 2 2))) (/ 1 (pow n 2)) (/ (pow n 2) 1) (/ 1 (pow (* (cbrt n) (cbrt n)) 2)) (/ 1 (pow (sqrt n) 2)) (/ 1 (pow 1 2)) (/ 1 n) (/ 1 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 1 (sqrt (pow n 2))) (/ 1 1) (/ 1 (pow n (/ 2 2))) (/ (pow n 2) (cbrt 1)) (/ (pow n 2) (sqrt 1)) (/ (pow n 2) 1) (* 0.16666666666666669 (/ 1 (pow n 2))) (+ (log 0.16666666666666669) (- (* (log n) 2))) (+ (log 0.16666666666666669) (- (* (log n) 2))) (+ (log 0.16666666666666669) (- (log (pow n 2)))) (+ (log 0.16666666666666669) (- 0 (* (log n) 2))) (+ (log 0.16666666666666669) (- 0 (* (log n) 2))) (+ (log 0.16666666666666669) (- 0 (log (pow n 2)))) (+ (log 0.16666666666666669) (- (log 1) (* (log n) 2))) (+ (log 0.16666666666666669) (- (log 1) (* (log n) 2))) (+ (log 0.16666666666666669) (- (log 1) (log (pow n 2)))) (+ (log 0.16666666666666669) (log (/ 1 (pow n 2)))) (log (* 0.16666666666666669 (/ 1 (pow n 2)))) (exp (* 0.16666666666666669 (/ 1 (pow n 2)))) (* (* (* 0.16666666666666669 0.16666666666666669) 0.16666666666666669) (/ (* (* 1 1) 1) (* (* (pow n 2) (pow n 2)) (pow n 2)))) (* (* (* 0.16666666666666669 0.16666666666666669) 0.16666666666666669) (* (* (/ 1 (pow n 2)) (/ 1 (pow n 2))) (/ 1 (pow n 2)))) (* (cbrt (* 0.16666666666666669 (/ 1 (pow n 2)))) (cbrt (* 0.16666666666666669 (/ 1 (pow n 2))))) (cbrt (* 0.16666666666666669 (/ 1 (pow n 2)))) (* (* (* 0.16666666666666669 (/ 1 (pow n 2))) (* 0.16666666666666669 (/ 1 (pow n 2)))) (* 0.16666666666666669 (/ 1 (pow n 2)))) (sqrt (* 0.16666666666666669 (/ 1 (pow n 2)))) (sqrt (* 0.16666666666666669 (/ 1 (pow n 2)))) (* (sqrt 0.16666666666666669) (sqrt (/ 1 (pow n 2)))) (* (sqrt 0.16666666666666669) (sqrt (/ 1 (pow n 2)))) (* (sqrt 0.16666666666666669) (/ (sqrt 1) (pow (sqrt n) 2))) (* (sqrt 0.16666666666666669) (/ (sqrt 1) (pow (sqrt n) 2))) (* (sqrt 0.16666666666666669) (/ (sqrt 1) n)) (* (sqrt 0.16666666666666669) (/ (sqrt 1) n)) (* (sqrt 0.16666666666666669) (/ (sqrt 1) (sqrt (pow n 2)))) (* (sqrt 0.16666666666666669) (/ (sqrt 1) (sqrt (pow n 2)))) (* (sqrt 0.16666666666666669) (/ (sqrt 1) (pow n (/ 2 2)))) (* (sqrt 0.16666666666666669) (/ (sqrt 1) (pow n (/ 2 2)))) (* (sqrt 0.16666666666666669) (/ 1 (pow (sqrt n) 2))) (* (sqrt 0.16666666666666669) (/ 1 (pow (sqrt n) 2))) (* (sqrt 0.16666666666666669) (/ 1 n)) (* (sqrt 0.16666666666666669) (/ 1 n)) (* (sqrt 0.16666666666666669) (/ 1 (sqrt (pow n 2)))) (* (sqrt 0.16666666666666669) (/ 1 (sqrt (pow n 2)))) (* (sqrt 0.16666666666666669) (/ 1 (pow n (/ 2 2)))) (* (sqrt 0.16666666666666669) (/ 1 (pow n (/ 2 2)))) (* 0.16666666666666669 (* (cbrt (/ 1 (pow n 2))) (cbrt (/ 1 (pow n 2))))) (* 0.16666666666666669 (sqrt (/ 1 (pow n 2)))) (* 0.16666666666666669 (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt n) (cbrt n)) 2))) (* 0.16666666666666669 (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt n) 2))) (* 0.16666666666666669 (/ (* (cbrt 1) (cbrt 1)) (pow 1 2))) (* 0.16666666666666669 (/ (* (cbrt 1) (cbrt 1)) n)) (* 0.16666666666666669 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow n 2)) (cbrt (pow n 2))))) (* 0.16666666666666669 (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow n 2)))) (* 0.16666666666666669 (/ (* (cbrt 1) (cbrt 1)) 1)) (* 0.16666666666666669 (/ (* (cbrt 1) (cbrt 1)) (pow n (/ 2 2)))) (* 0.16666666666666669 (/ (sqrt 1) (pow (* (cbrt n) (cbrt n)) 2))) (* 0.16666666666666669 (/ (sqrt 1) (pow (sqrt n) 2))) (* 0.16666666666666669 (/ (sqrt 1) (pow 1 2))) (* 0.16666666666666669 (/ (sqrt 1) n)) (* 0.16666666666666669 (/ (sqrt 1) (* (cbrt (pow n 2)) (cbrt (pow n 2))))) (* 0.16666666666666669 (/ (sqrt 1) (sqrt (pow n 2)))) (* 0.16666666666666669 (/ (sqrt 1) 1)) (* 0.16666666666666669 (/ (sqrt 1) (pow n (/ 2 2)))) (* 0.16666666666666669 (/ 1 (pow (* (cbrt n) (cbrt n)) 2))) (* 0.16666666666666669 (/ 1 (pow (sqrt n) 2))) (* 0.16666666666666669 (/ 1 (pow 1 2))) (* 0.16666666666666669 (/ 1 n)) (* 0.16666666666666669 (/ 1 (* (cbrt (pow n 2)) (cbrt (pow n 2))))) (* 0.16666666666666669 (/ 1 (sqrt (pow n 2)))) (* 0.16666666666666669 (/ 1 1)) (* 0.16666666666666669 (/ 1 (pow n (/ 2 2)))) (* 0.16666666666666669 1) (* 0.16666666666666669 1) (* (cbrt 0.16666666666666669) (/ 1 (pow n 2))) (* (sqrt 0.16666666666666669) (/ 1 (pow n 2))) (* 0.16666666666666669 (/ 1 (pow n 2))) (* 0.16666666666666669 1) (/ (exp 1.0) (* (exp (* 1.0 (log (/ 1 n)))) (exp (* 0.16666666666666669 (/ 1 (pow n 2)))))) (/ (exp 1.0) (exp (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (log (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (exp (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (* (cbrt (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (cbrt (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))))) (cbrt (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (* (* (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (sqrt (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (sqrt (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (- (pow 1.0 3) (pow (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))) 3)) (+ (* 1.0 1.0) (+ (* (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))) (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (* 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))))) (- (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (- (* 1.0 1.0) (* (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))) (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (+ 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (+ (sqrt 1.0) (sqrt (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (- (sqrt 1.0) (sqrt (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (- 1.0 (* 1.0 (log (/ 1 n)))) (- (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ (* (/ (exp 1.0) (* (exp (* 1.0 (log (/ 1 n)))) (exp (* 0.16666666666666669 (/ 1 (pow n 2)))))) (exp (/ 0.5 n))) (exp 1.0)) (/ (* (/ (exp 1.0) (exp (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (exp (/ 0.5 n))) (exp 1.0)) (/ (* (exp (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (exp (/ 0.5 n))) (exp 1.0)) (/ (exp (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n))) (exp 1.0)) (log (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (exp (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (* (cbrt (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (cbrt (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0))) (cbrt (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (* (* (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0) (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (sqrt (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (sqrt (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (- (pow (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 3) (pow 1.0 3)) (+ (* (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n))) (+ (* 1.0 1.0) (* (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0))) (- 1.0) (- (* (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n))) (* 1.0 1.0)) (+ (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0) (+ (sqrt (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n))) (sqrt 1.0)) (- (sqrt (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n))) (sqrt 1.0)) (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0) (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0) (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0) (- (/ 0.5 n) 1.0) (+ (- (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))) (/ 0.5 n)) 1.0) (- 1.0) (/ 1 (pow n 2)) (/ 1 (pow n 2)) (/ 1 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) (- (+ (* 1.0 (log n)) 1.0) (* 0.16666666666666669 (/ 1 (pow n 2)))) (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (- 1.0 (+ (* 1.0 (log -1)) (+ (* 0.16666666666666669 (/ 1 (pow n 2))) (* 1.0 (log (/ -1 n)))))) (- (+ (* 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))))) (- (* 0.5 (/ 1 n)) (+ (* 1.0 (log -1)) (+ (* 0.16666666666666669 (/ 1 (pow n 2))) (* 1.0 (log (/ -1 n)))))) 2.013 * [simplify]: Sending expressions to egg_math: (- 2) (- (* (log h0) 2)) (- (* (log h0) 2)) (- (log (pow h0 2))) (- 0 (* (log h0) 2)) (- 0 (* (log h0) 2)) (- 0 (log (pow h0 2))) (- (log 1) (* (log h0) 2)) (- (log 1) (* (log h0) 2)) (- (log 1) (log (pow h0 2))) (log (/ 1 (pow h0 2))) (exp (/ 1 (pow h0 2))) (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (cbrt (/ 1 (pow h0 2))) (cbrt (/ 1 (pow h0 2)))) (cbrt (/ 1 (pow h0 2))) (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (- 1) (- (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (cbrt 1) (pow (cbrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt h0) 2)) (/ (cbrt 1) (pow (sqrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) h0) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (cbrt 1) (cbrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow h0 2))) (/ (cbrt 1) (sqrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow h0 (/ 2 2))) (/ (cbrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (sqrt 1) (pow (cbrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) h0) (/ (sqrt 1) h0) (/ (sqrt 1) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (sqrt 1) (cbrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (cbrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 (pow h0 2)) (/ 1 h0) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (cbrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 2)) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 2)) (/ (pow h0 2) 1) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 (/ 2 2))) (/ (pow h0 2) (cbrt 1)) (/ (pow h0 2) (sqrt 1)) (/ (pow h0 2) 1) (* h1 (/ 1 (pow h0 2))) (+ (log h1) (- (* (log h0) 2))) (+ (log h1) (- (* (log h0) 2))) (+ (log h1) (- (log (pow h0 2)))) (+ (log h1) (- 0 (* (log h0) 2))) (+ (log h1) (- 0 (* (log h0) 2))) (+ (log h1) (- 0 (log (pow h0 2)))) (+ (log h1) (- (log 1) (* (log h0) 2))) (+ (log h1) (- (log 1) (* (log h0) 2))) (+ (log h1) (- (log 1) (log (pow h0 2)))) (+ (log h1) (log (/ 1 (pow h0 2)))) (log (* h1 (/ 1 (pow h0 2)))) (exp (* h1 (/ 1 (pow h0 2)))) (* (* (* h1 h1) h1) (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2)))) (* (* (* h1 h1) h1) (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2)))) (* (cbrt (* h1 (/ 1 (pow h0 2)))) (cbrt (* h1 (/ 1 (pow h0 2))))) (cbrt (* h1 (/ 1 (pow h0 2)))) (* (* (* h1 (/ 1 (pow h0 2))) (* h1 (/ 1 (pow h0 2)))) (* h1 (/ 1 (pow h0 2)))) (sqrt (* h1 (/ 1 (pow h0 2)))) (sqrt (* h1 (/ 1 (pow h0 2)))) (* (sqrt h1) (sqrt (/ 1 (pow h0 2)))) (* (sqrt h1) (sqrt (/ 1 (pow h0 2)))) (* (sqrt h1) (/ (sqrt 1) (pow (sqrt h0) 2))) (* (sqrt h1) (/ (sqrt 1) (pow (sqrt h0) 2))) (* (sqrt h1) (/ (sqrt 1) h0)) (* (sqrt h1) (/ (sqrt 1) h0)) (* (sqrt h1) (/ (sqrt 1) (sqrt (pow h0 2)))) (* (sqrt h1) (/ (sqrt 1) (sqrt (pow h0 2)))) (* (sqrt h1) (/ (sqrt 1) (pow h0 (/ 2 2)))) (* (sqrt h1) (/ (sqrt 1) (pow h0 (/ 2 2)))) (* (sqrt h1) (/ 1 (pow (sqrt h0) 2))) (* (sqrt h1) (/ 1 (pow (sqrt h0) 2))) (* (sqrt h1) (/ 1 h0)) (* (sqrt h1) (/ 1 h0)) (* (sqrt h1) (/ 1 (sqrt (pow h0 2)))) (* (sqrt h1) (/ 1 (sqrt (pow h0 2)))) (* (sqrt h1) (/ 1 (pow h0 (/ 2 2)))) (* (sqrt h1) (/ 1 (pow h0 (/ 2 2)))) (* h1 (* (cbrt (/ 1 (pow h0 2))) (cbrt (/ 1 (pow h0 2))))) (* h1 (sqrt (/ 1 (pow h0 2)))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt h0) (cbrt h0)) 2))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt h0) 2))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (pow 1 2))) (* h1 (/ (* (cbrt 1) (cbrt 1)) h0)) (* h1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow h0 2)) (cbrt (pow h0 2))))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow h0 2)))) (* h1 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h1 (/ (* (cbrt 1) (cbrt 1)) (pow h0 (/ 2 2)))) (* h1 (/ (sqrt 1) (pow (* (cbrt h0) (cbrt h0)) 2))) (* h1 (/ (sqrt 1) (pow (sqrt h0) 2))) (* h1 (/ (sqrt 1) (pow 1 2))) (* h1 (/ (sqrt 1) h0)) (* h1 (/ (sqrt 1) (* (cbrt (pow h0 2)) (cbrt (pow h0 2))))) (* h1 (/ (sqrt 1) (sqrt (pow h0 2)))) (* h1 (/ (sqrt 1) 1)) (* h1 (/ (sqrt 1) (pow h0 (/ 2 2)))) (* h1 (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2))) (* h1 (/ 1 (pow (sqrt h0) 2))) (* h1 (/ 1 (pow 1 2))) (* h1 (/ 1 h0)) (* h1 (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2))))) (* h1 (/ 1 (sqrt (pow h0 2)))) (* h1 (/ 1 1)) (* h1 (/ 1 (pow h0 (/ 2 2)))) (* h1 1) (* h1 1) (* (cbrt h1) (/ 1 (pow h0 2))) (* (sqrt h1) (/ 1 (pow h0 2))) (* h1 (/ 1 (pow h0 2))) (* h1 1) (/ (exp h2) (* (exp (* h2 (log (/ 1 h0)))) (exp (* h1 (/ 1 (pow h0 2)))))) (/ (exp h2) (exp (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))))) (log (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))))) (exp (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))))) (* (cbrt (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))))) (cbrt (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))))) (cbrt (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))))) (* (* (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))))) (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))))) (sqrt (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))))) (sqrt (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))))) (- (pow h2 3) (pow (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) 3)) (+ (* h2 h2) (+ (* (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (* h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))))) (- (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (- (* h2 h2) (* (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))))) (+ h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (+ (sqrt h2) (sqrt (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))))) (- (sqrt h2) (sqrt (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))))) (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (- h2 (* h2 (log (/ 1 h0)))) (- (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ (* (/ (exp h2) (* (exp (* h2 (log (/ 1 h0)))) (exp (* h1 (/ 1 (pow h0 2)))))) (exp (/ h3 h0))) (exp h2)) (/ (* (/ (exp h2) (exp (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))))) (exp (/ h3 h0))) (exp h2)) (/ (* (exp (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))))) (exp (/ h3 h0))) (exp h2)) (/ (exp (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0))) (exp h2)) (log (- (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) h2)) (exp (- (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) h2)) (* (cbrt (- (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) h2)) (cbrt (- (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) h2))) (cbrt (- (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) h2)) (* (* (- (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) h2) (- (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) h2)) (- (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) h2)) (sqrt (- (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) h2)) (sqrt (- (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) h2)) (- (pow (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) 3) (pow h2 3)) (+ (* (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0))) (+ (* h2 h2) (* (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) h2))) (- h2) (- (* (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0))) (* h2 h2)) (+ (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) h2) (+ (sqrt (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0))) (sqrt h2)) (- (sqrt (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0))) (sqrt h2)) (- (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) h2) (- (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) h2) (- (+ (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (/ h3 h0)) h2) (- (/ h3 h0) h2) (+ (- (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) (/ h3 h0)) h2) (- h2) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ h1 (pow h0 2)) (/ h1 (pow h0 2)) (/ h1 (pow h0 2)) (- (+ (* h2 (log h0)) h2) (* h1 (/ 1 (pow h0 2)))) (- h2 (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (- h2 (+ (* h2 (log -1)) (+ (* h1 (/ 1 (pow h0 2))) (* h2 (log (/ -1 h0)))))) (- (+ (* h3 (/ 1 h0)) (* h2 (log h0))) (* h1 (/ 1 (pow h0 2)))) (- (* h3 (/ 1 h0)) (+ (* h2 (log (/ 1 h0))) (* h1 (/ 1 (pow h0 2))))) (- (* h3 (/ 1 h0)) (+ (* h2 (log -1)) (+ (* h1 (/ 1 (pow h0 2))) (* h2 (log (/ -1 h0)))))) 2.021 * * [simplify]: iteration 0 : 545 enodes (cost 1163 ) 2.030 * * [simplify]: iteration 1 : 2183 enodes (cost 985 ) 2.064 * * [simplify]: iteration 2 : 5001 enodes (cost 902 ) 2.069 * [simplify]: Simplified to: (- 2) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (exp (/ 1 (pow n 2))) (/ 1 (pow (pow n 2) 3)) (* (cbrt (/ 1 (pow n 2))) (cbrt (/ 1 (pow n 2)))) (cbrt (/ 1 (pow n 2))) (/ 1 (pow (pow n 2) 3)) (fabs (/ 1 n)) (fabs (/ 1 n)) (- 1) (- (pow n 2)) (/ 1 (pow (cbrt n) 4)) (/ 1 (pow (cbrt n) 2)) (/ 1 n) (/ 1 n) 1 (/ 1 (pow n 2)) (/ 1 n) (/ 1 n) (/ 1 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 1 (cbrt (pow n 2))) (/ 1 (fabs n)) (/ 1 (fabs n)) 1 (/ 1 (pow n 2)) (/ 1 n) (/ 1 n) (/ 1 (pow (cbrt n) 4)) (/ 1 (pow (cbrt n) 2)) (/ 1 n) (/ 1 n) 1 (/ 1 (pow n 2)) (/ 1 n) (/ 1 n) (/ 1 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 1 (cbrt (pow n 2))) (/ 1 (fabs n)) (/ 1 (fabs n)) 1 (/ 1 (pow n 2)) (/ 1 n) (/ 1 n) (/ 1 (pow (cbrt n) 4)) (/ 1 (pow (cbrt n) 2)) (/ 1 n) (/ 1 n) 1 (/ 1 (pow n 2)) (/ 1 n) (/ 1 n) (/ 1 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 1 (cbrt (pow n 2))) (/ 1 (fabs n)) (/ 1 (fabs n)) 1 (/ 1 (pow n 2)) (/ 1 n) (/ 1 n) (/ 1 (pow n 2)) (pow n 2) (/ 1 (pow (cbrt n) 4)) (/ 1 n) 1 (/ 1 n) (/ 1 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 1 (fabs n)) 1 (/ 1 n) (pow n 2) (pow n 2) (pow n 2) (/ 0.16666666666666669 (pow n 2)) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (exp (* 0.16666666666666669 (/ 1 (pow n 2)))) (pow (/ 0.16666666666666669 (pow n 2)) 3) (pow (/ 0.16666666666666669 (pow n 2)) 3) (* (cbrt (* 0.16666666666666669 (/ 1 (pow n 2)))) (cbrt (* 0.16666666666666669 (/ 1 (pow n 2))))) (cbrt (* 0.16666666666666669 (/ 1 (pow n 2)))) (pow (/ 0.16666666666666669 (pow n 2)) 3) (sqrt (* 0.16666666666666669 (/ 1 (pow n 2)))) (sqrt (* 0.16666666666666669 (/ 1 (pow n 2)))) (* (sqrt 0.16666666666666669) (sqrt (/ 1 (pow n 2)))) (* (sqrt 0.16666666666666669) (sqrt (/ 1 (pow n 2)))) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (* (sqrt 0.16666666666666669) 1) (fabs n)) (/ (* (sqrt 0.16666666666666669) 1) (fabs n)) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (* (sqrt 0.16666666666666669) 1) (fabs n)) (/ (* (sqrt 0.16666666666666669) 1) (fabs n)) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (* 0.16666666666666669 (* (cbrt (/ 1 (pow n 2))) (cbrt (/ 1 (pow n 2))))) (* 0.16666666666666669 (sqrt (/ 1 (pow n 2)))) (/ 0.16666666666666669 (pow (cbrt n) 4)) (/ 0.16666666666666669 n) 0.16666666666666669 (/ 0.16666666666666669 n) (/ 0.16666666666666669 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 0.16666666666666669 (fabs n)) 0.16666666666666669 (/ 0.16666666666666669 n) (/ 0.16666666666666669 (pow (cbrt n) 4)) (/ 0.16666666666666669 n) 0.16666666666666669 (/ 0.16666666666666669 n) (/ 0.16666666666666669 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 0.16666666666666669 (fabs n)) 0.16666666666666669 (/ 0.16666666666666669 n) (/ 0.16666666666666669 (pow (cbrt n) 4)) (/ 0.16666666666666669 n) 0.16666666666666669 (/ 0.16666666666666669 n) (/ 0.16666666666666669 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 0.16666666666666669 (fabs n)) 0.16666666666666669 (/ 0.16666666666666669 n) 0.16666666666666669 0.16666666666666669 (/ (/ (cbrt 0.16666666666666669) n) n) (* (sqrt 0.16666666666666669) (/ 1 (pow n 2))) (/ 0.16666666666666669 (pow n 2)) 0.16666666666666669 (exp (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (exp (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (log (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (exp (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (* (cbrt (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (cbrt (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))))) (cbrt (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (pow (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) 3) (sqrt (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (sqrt (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (- (pow 1.0 3) (pow (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))) 3)) (+ (* (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))) (+ (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))) 1.0)) (* 1.0 1.0)) (- (- (* 1.0 (log (/ 1 n)))) (/ 0.16666666666666669 (pow n 2))) (* (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (+ (+ 1.0 (/ 0.16666666666666669 (pow n 2))) (* 1.0 (log (/ 1 n))))) (+ (+ 1.0 (/ 0.16666666666666669 (pow n 2))) (* 1.0 (log (/ 1 n)))) (+ (sqrt 1.0) (sqrt (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (- (sqrt 1.0) (sqrt (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))) (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (- 1.0 (* 1.0 (log (/ 1 n)))) (- (- (* 1.0 (log (/ 1 n)))) (/ 0.16666666666666669 (pow n 2))) (exp (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (exp (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (exp (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (exp (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (log (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (exp (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (* (cbrt (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (cbrt (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0))) (cbrt (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (pow (- (- 1.0 (* 1.0 (log (/ 1 n)))) (- (/ 0.16666666666666669 (pow n 2)) (- (/ 0.5 n) 1.0))) 3) (sqrt (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (sqrt (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)) (- (pow (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)))) (* (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)))) (- 1.0) (* (- (- 1.0 (* 1.0 (log (/ 1 n)))) (- (/ 0.16666666666666669 (pow n 2)) (- (/ 0.5 n) 1.0))) (- (- 1.0 (* 1.0 (log (/ 1 n)))) (- (/ 0.16666666666666669 (pow n 2)) (+ (/ 0.5 n) 1.0)))) (- (- 1.0 (* 1.0 (log (/ 1 n)))) (- (/ 0.16666666666666669 (pow n 2)) (+ (/ 0.5 n) 1.0))) (+ (sqrt (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n))) (sqrt 1.0)) (- (sqrt (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n))) (sqrt 1.0)) (- (- 1.0 (* 1.0 (log (/ 1 n)))) (- (/ 0.16666666666666669 (pow n 2)) (- (/ 0.5 n) 1.0))) (- (- 1.0 (* 1.0 (log (/ 1 n)))) (- (/ 0.16666666666666669 (pow n 2)) (- (/ 0.5 n) 1.0))) (- (- 1.0 (* 1.0 (log (/ 1 n)))) (- (/ 0.16666666666666669 (pow n 2)) (- (/ 0.5 n) 1.0))) (- (/ 0.5 n) 1.0) (- (+ (+ 1.0 (/ 0.16666666666666669 (pow n 2))) (* 1.0 (log (/ 1 n)))) (/ 0.5 n)) (- 1.0) (/ 1 (pow n 2)) (/ 1 (pow n 2)) (/ 1 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) (- (+ (* 1.0 (log n)) 1.0) (* 0.16666666666666669 (/ 1 (pow n 2)))) (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (- (- (- 1.0 (* 1.0 (log -1))) (* 1.0 (log (/ -1 n)))) (/ 0.16666666666666669 (pow n 2))) (+ (* 1.0 (log n)) (- (* 0.5 (/ 1 n)) (/ 0.16666666666666669 (pow n 2)))) (- (- (* 0.5 (/ 1 n)) (/ 0.16666666666666669 (pow n 2))) (* 1.0 (log (/ 1 n)))) (- (- (- (* 0.5 (/ 1 n)) (* 1.0 (log -1))) (* 1.0 (log (/ -1 n)))) (/ 0.16666666666666669 (pow n 2))) 2.070 * * * [progress]: adding candidates to table 2.388 * * [progress]: iteration 3 / 4 2.388 * * * [progress]: picking best candidate 2.390 * * * * [pick]: Picked # 2.390 * * * [progress]: localizing error 2.402 * * * [progress]: generating rewritten candidates 2.402 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 2.411 * * * [progress]: generating series expansions 2.411 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 2.411 * [approximate]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in (n) around 0 2.411 * [taylor]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in n 2.411 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 2.411 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.411 * [taylor]: Taking taylor expansion of n in n 2.412 * [taylor]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in n 2.412 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 2.412 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.412 * [taylor]: Taking taylor expansion of n in n 2.419 * [approximate]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in (n) around 0 2.419 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 2.419 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 2.419 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.419 * [taylor]: Taking taylor expansion of n in n 2.419 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 2.419 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 2.419 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.419 * [taylor]: Taking taylor expansion of n in n 2.428 * [approximate]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in (n) around 0 2.428 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 2.428 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 2.428 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.428 * [taylor]: Taking taylor expansion of n in n 2.428 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 2.428 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 2.428 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.428 * [taylor]: Taking taylor expansion of n in n 2.435 * * * [progress]: simplifying candidates 2.436 * [simplify]: Simplifying using # : (- (log 0.16666666666666669) (* (log n) 2)) (- (log 0.16666666666666669) (* (log n) 2)) (- (log 0.16666666666666669) (log (pow n 2))) (log (/ 0.16666666666666669 (pow n 2))) (exp (/ 0.16666666666666669 (pow n 2))) (/ (* (* 0.16666666666666669 0.16666666666666669) 0.16666666666666669) (* (* (pow n 2) (pow n 2)) (pow n 2))) (* (cbrt (/ 0.16666666666666669 (pow n 2))) (cbrt (/ 0.16666666666666669 (pow n 2)))) (cbrt (/ 0.16666666666666669 (pow n 2))) (* (* (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2))) (/ 0.16666666666666669 (pow n 2))) (sqrt (/ 0.16666666666666669 (pow n 2))) (sqrt (/ 0.16666666666666669 (pow n 2))) (- 0.16666666666666669) (- (pow n 2)) (/ (* (cbrt 0.16666666666666669) (cbrt 0.16666666666666669)) (pow (* (cbrt n) (cbrt n)) 2)) (/ (cbrt 0.16666666666666669) (pow (cbrt n) 2)) (/ (* (cbrt 0.16666666666666669) (cbrt 0.16666666666666669)) (pow (sqrt n) 2)) (/ (cbrt 0.16666666666666669) (pow (sqrt n) 2)) (/ (* (cbrt 0.16666666666666669) (cbrt 0.16666666666666669)) (pow 1 2)) (/ (cbrt 0.16666666666666669) (pow n 2)) (/ (* (cbrt 0.16666666666666669) (cbrt 0.16666666666666669)) n) (/ (cbrt 0.16666666666666669) n) (/ (* (cbrt 0.16666666666666669) (cbrt 0.16666666666666669)) (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ (cbrt 0.16666666666666669) (cbrt (pow n 2))) (/ (* (cbrt 0.16666666666666669) (cbrt 0.16666666666666669)) (sqrt (pow n 2))) (/ (cbrt 0.16666666666666669) (sqrt (pow n 2))) (/ (* (cbrt 0.16666666666666669) (cbrt 0.16666666666666669)) 1) (/ (cbrt 0.16666666666666669) (pow n 2)) (/ (* (cbrt 0.16666666666666669) (cbrt 0.16666666666666669)) (pow n (/ 2 2))) (/ (cbrt 0.16666666666666669) (pow n (/ 2 2))) (/ (sqrt 0.16666666666666669) (pow (* (cbrt n) (cbrt n)) 2)) (/ (sqrt 0.16666666666666669) (pow (cbrt n) 2)) (/ (sqrt 0.16666666666666669) (pow (sqrt n) 2)) (/ (sqrt 0.16666666666666669) (pow (sqrt n) 2)) (/ (sqrt 0.16666666666666669) (pow 1 2)) (/ (sqrt 0.16666666666666669) (pow n 2)) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ (sqrt 0.16666666666666669) (cbrt (pow n 2))) (/ (sqrt 0.16666666666666669) (sqrt (pow n 2))) (/ (sqrt 0.16666666666666669) (sqrt (pow n 2))) (/ (sqrt 0.16666666666666669) 1) (/ (sqrt 0.16666666666666669) (pow n 2)) (/ (sqrt 0.16666666666666669) (pow n (/ 2 2))) (/ (sqrt 0.16666666666666669) (pow n (/ 2 2))) (/ 1 (pow (* (cbrt n) (cbrt n)) 2)) (/ 0.16666666666666669 (pow (cbrt n) 2)) (/ 1 (pow (sqrt n) 2)) (/ 0.16666666666666669 (pow (sqrt n) 2)) (/ 1 (pow 1 2)) (/ 0.16666666666666669 (pow n 2)) (/ 1 n) (/ 0.16666666666666669 n) (/ 1 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 0.16666666666666669 (cbrt (pow n 2))) (/ 1 (sqrt (pow n 2))) (/ 0.16666666666666669 (sqrt (pow n 2))) (/ 1 1) (/ 0.16666666666666669 (pow n 2)) (/ 1 (pow n (/ 2 2))) (/ 0.16666666666666669 (pow n (/ 2 2))) (/ 1 (pow n 2)) (/ (pow n 2) 0.16666666666666669) (/ 0.16666666666666669 (pow (* (cbrt n) (cbrt n)) 2)) (/ 0.16666666666666669 (pow (sqrt n) 2)) (/ 0.16666666666666669 (pow 1 2)) (/ 0.16666666666666669 n) (/ 0.16666666666666669 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 0.16666666666666669 (sqrt (pow n 2))) (/ 0.16666666666666669 1) (/ 0.16666666666666669 (pow n (/ 2 2))) (/ (pow n 2) (cbrt 0.16666666666666669)) (/ (pow n 2) (sqrt 0.16666666666666669)) (/ (pow n 2) 0.16666666666666669) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) 2.436 * [simplify]: Sending expressions to egg_math: (- (log h0) (* (log h1) 2)) (- (log h0) (* (log h1) 2)) (- (log h0) (log (pow h1 2))) (log (/ h0 (pow h1 2))) (exp (/ h0 (pow h1 2))) (/ (* (* h0 h0) h0) (* (* (pow h1 2) (pow h1 2)) (pow h1 2))) (* (cbrt (/ h0 (pow h1 2))) (cbrt (/ h0 (pow h1 2)))) (cbrt (/ h0 (pow h1 2))) (* (* (/ h0 (pow h1 2)) (/ h0 (pow h1 2))) (/ h0 (pow h1 2))) (sqrt (/ h0 (pow h1 2))) (sqrt (/ h0 (pow h1 2))) (- h0) (- (pow h1 2)) (/ (* (cbrt h0) (cbrt h0)) (pow (* (cbrt h1) (cbrt h1)) 2)) (/ (cbrt h0) (pow (cbrt h1) 2)) (/ (* (cbrt h0) (cbrt h0)) (pow (sqrt h1) 2)) (/ (cbrt h0) (pow (sqrt h1) 2)) (/ (* (cbrt h0) (cbrt h0)) (pow 1 2)) (/ (cbrt h0) (pow h1 2)) (/ (* (cbrt h0) (cbrt h0)) h1) (/ (cbrt h0) h1) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (pow h1 2)) (cbrt (pow h1 2)))) (/ (cbrt h0) (cbrt (pow h1 2))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (pow h1 2))) (/ (cbrt h0) (sqrt (pow h1 2))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (pow h1 2)) (/ (* (cbrt h0) (cbrt h0)) (pow h1 (/ 2 2))) (/ (cbrt h0) (pow h1 (/ 2 2))) (/ (sqrt h0) (pow (* (cbrt h1) (cbrt h1)) 2)) (/ (sqrt h0) (pow (cbrt h1) 2)) (/ (sqrt h0) (pow (sqrt h1) 2)) (/ (sqrt h0) (pow (sqrt h1) 2)) (/ (sqrt h0) (pow 1 2)) (/ (sqrt h0) (pow h1 2)) (/ (sqrt h0) h1) (/ (sqrt h0) h1) (/ (sqrt h0) (* (cbrt (pow h1 2)) (cbrt (pow h1 2)))) (/ (sqrt h0) (cbrt (pow h1 2))) (/ (sqrt h0) (sqrt (pow h1 2))) (/ (sqrt h0) (sqrt (pow h1 2))) (/ (sqrt h0) 1) (/ (sqrt h0) (pow h1 2)) (/ (sqrt h0) (pow h1 (/ 2 2))) (/ (sqrt h0) (pow h1 (/ 2 2))) (/ 1 (pow (* (cbrt h1) (cbrt h1)) 2)) (/ h0 (pow (cbrt h1) 2)) (/ 1 (pow (sqrt h1) 2)) (/ h0 (pow (sqrt h1) 2)) (/ 1 (pow 1 2)) (/ h0 (pow h1 2)) (/ 1 h1) (/ h0 h1) (/ 1 (* (cbrt (pow h1 2)) (cbrt (pow h1 2)))) (/ h0 (cbrt (pow h1 2))) (/ 1 (sqrt (pow h1 2))) (/ h0 (sqrt (pow h1 2))) (/ 1 1) (/ h0 (pow h1 2)) (/ 1 (pow h1 (/ 2 2))) (/ h0 (pow h1 (/ 2 2))) (/ 1 (pow h1 2)) (/ (pow h1 2) h0) (/ h0 (pow (* (cbrt h1) (cbrt h1)) 2)) (/ h0 (pow (sqrt h1) 2)) (/ h0 (pow 1 2)) (/ h0 h1) (/ h0 (* (cbrt (pow h1 2)) (cbrt (pow h1 2)))) (/ h0 (sqrt (pow h1 2))) (/ h0 1) (/ h0 (pow h1 (/ 2 2))) (/ (pow h1 2) (cbrt h0)) (/ (pow h1 2) (sqrt h0)) (/ (pow h1 2) h0) (/ h0 (pow h1 2)) (/ h0 (pow h1 2)) (/ h0 (pow h1 2)) 2.440 * * [simplify]: iteration 0 : 153 enodes (cost 244 ) 2.443 * * [simplify]: iteration 1 : 571 enodes (cost 217 ) 2.455 * * [simplify]: iteration 2 : 3249 enodes (cost 208 ) 2.535 * * [simplify]: iteration 3 : 5003 enodes (cost 208 ) 2.537 * [simplify]: Simplified to: (log (/ 0.16666666666666669 (pow n 2))) (log (/ 0.16666666666666669 (pow n 2))) (log (/ 0.16666666666666669 (pow n 2))) (log (/ 0.16666666666666669 (pow n 2))) (exp (/ 0.16666666666666669 (pow n 2))) (pow (/ 0.16666666666666669 (pow n 2)) 3) (* (cbrt (/ 0.16666666666666669 (pow n 2))) (cbrt (/ 0.16666666666666669 (pow n 2)))) (cbrt (/ 0.16666666666666669 (pow n 2))) (pow (/ 0.16666666666666669 (pow n 2)) 3) (sqrt (/ 0.16666666666666669 (pow n 2))) (sqrt (/ 0.16666666666666669 (pow n 2))) (- 0.16666666666666669) (- (pow n 2)) (* (/ (cbrt 0.16666666666666669) (pow (cbrt n) 4)) (cbrt 0.16666666666666669)) (/ (cbrt 0.16666666666666669) (pow (cbrt n) 2)) (/ (cbrt 0.16666666666666669) (/ n (cbrt 0.16666666666666669))) (/ (cbrt 0.16666666666666669) n) (* (cbrt 0.16666666666666669) (cbrt 0.16666666666666669)) (/ (cbrt 0.16666666666666669) (pow n 2)) (/ (cbrt 0.16666666666666669) (/ n (cbrt 0.16666666666666669))) (/ (cbrt 0.16666666666666669) n) (/ (* (cbrt 0.16666666666666669) (cbrt 0.16666666666666669)) (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ (cbrt 0.16666666666666669) (cbrt (pow n 2))) (/ (* (cbrt 0.16666666666666669) (cbrt 0.16666666666666669)) (fabs n)) (/ (/ (cbrt 0.16666666666666669) 1) (fabs n)) (* (cbrt 0.16666666666666669) (cbrt 0.16666666666666669)) (/ (cbrt 0.16666666666666669) (pow n 2)) (/ (cbrt 0.16666666666666669) (/ n (cbrt 0.16666666666666669))) (/ (cbrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) (pow (cbrt n) 4)) (/ (sqrt 0.16666666666666669) (pow (cbrt n) 2)) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (sqrt 0.16666666666666669) (/ (sqrt 0.16666666666666669) (pow n 2)) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ (sqrt 0.16666666666666669) (cbrt (pow n 2))) (/ (sqrt 0.16666666666666669) (fabs n)) (/ (sqrt 0.16666666666666669) (fabs n)) (sqrt 0.16666666666666669) (/ (sqrt 0.16666666666666669) (pow n 2)) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ 1 (pow (cbrt n) 4)) (/ 0.16666666666666669 (pow (cbrt n) 2)) (/ 1 n) (/ 0.16666666666666669 n) 1 (/ 0.16666666666666669 (pow n 2)) (/ 1 n) (/ 0.16666666666666669 n) (/ 1 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 0.16666666666666669 (cbrt (pow n 2))) (/ 1 (fabs n)) (/ 0.16666666666666669 (fabs n)) 1 (/ 0.16666666666666669 (pow n 2)) (/ 1 n) (/ 0.16666666666666669 n) (/ 1 (pow n 2)) (/ (pow n 2) 0.16666666666666669) (/ 0.16666666666666669 (pow (cbrt n) 4)) (/ 0.16666666666666669 n) 0.16666666666666669 (/ 0.16666666666666669 n) (/ 0.16666666666666669 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 0.16666666666666669 (fabs n)) 0.16666666666666669 (/ 0.16666666666666669 n) (/ (pow n 2) (cbrt 0.16666666666666669)) (/ (pow n 2) (sqrt 0.16666666666666669)) (/ (pow n 2) 0.16666666666666669) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) 2.537 * * * [progress]: adding candidates to table 2.640 * [progress]: [Phase 3 of 3] Extracting. 2.642 * [simplify]: Simplifying using # : (- (- (* 0.5 (/ 1 n)) (/ 0.16666666666666669 (pow n 2))) (* 1.0 (log (/ 1 n)))) 2.642 * [simplify]: Sending expressions to egg_math: (- (- (* h0 (/ 1 h1)) (/ h2 (pow h1 2))) (* h3 (log (/ 1 h1)))) 2.643 * * [simplify]: iteration 0 : 18 enodes (cost 9 ) 2.643 * * [simplify]: iteration 1 : 18 enodes (cost 9 ) 2.643 * [simplify]: Simplified to: (- (- (* 0.5 (/ 1 n)) (/ 0.16666666666666669 (pow n 2))) (* 1.0 (log (/ 1 n)))) 4.684 * [regime-testing]: End program error score: 0.0007500937617202151 4.716 * [regime-testing]: Target error score: 0