10.646 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.085 * * * [progress]: [2/2] Setting up program. 0.088 * [progress]: [Phase 2 of 3] Improving. 0.088 * [simplify]: Simplifying using # : (- (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) 1.0) 0.213 * * [simplify]: iteration 0 : 4937 enodes (cost 15 ) 0.213 * * [simplify]: iteration 1 : 4937 enodes (cost 15 ) 0.213 * [simplify]: Simplified to: (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n)))) 0.219 * * [progress]: iteration 1 / 4 0.219 * * * [progress]: picking best candidate 0.221 * * * * [pick]: Picked # 0.221 * * * [progress]: localizing error 0.231 * * * [progress]: generating rewritten candidates 0.231 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.243 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.252 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.260 * * * [progress]: generating series expansions 0.260 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.260 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) (+ 1.0 (* (log n) n))) in (n) around 0 0.260 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) (+ 1.0 (* (log n) n))) in n 0.260 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) in n 0.260 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ n 1.0))) in n 0.260 * [taylor]: Taking taylor expansion of 1.0 in n 0.260 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.260 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.260 * [taylor]: Taking taylor expansion of n in n 0.260 * [taylor]: Taking taylor expansion of 1.0 in n 0.260 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) n) in n 0.260 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.260 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.260 * [taylor]: Taking taylor expansion of n in n 0.260 * [taylor]: Taking taylor expansion of 1.0 in n 0.260 * [taylor]: Taking taylor expansion of n in n 0.260 * [taylor]: Taking taylor expansion of (+ 1.0 (* (log n) n)) in n 0.260 * [taylor]: Taking taylor expansion of 1.0 in n 0.260 * [taylor]: Taking taylor expansion of (* (log n) n) in n 0.260 * [taylor]: Taking taylor expansion of (log n) in n 0.260 * [taylor]: Taking taylor expansion of n in n 0.260 * [taylor]: Taking taylor expansion of n in n 0.260 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) (+ 1.0 (* (log n) n))) in n 0.260 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) in n 0.261 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ n 1.0))) in n 0.261 * [taylor]: Taking taylor expansion of 1.0 in n 0.261 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.261 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.261 * [taylor]: Taking taylor expansion of n in n 0.261 * [taylor]: Taking taylor expansion of 1.0 in n 0.261 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) n) in n 0.261 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.261 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.261 * [taylor]: Taking taylor expansion of n in n 0.261 * [taylor]: Taking taylor expansion of 1.0 in n 0.261 * [taylor]: Taking taylor expansion of n in n 0.261 * [taylor]: Taking taylor expansion of (+ 1.0 (* (log n) n)) in n 0.261 * [taylor]: Taking taylor expansion of 1.0 in n 0.261 * [taylor]: Taking taylor expansion of (* (log n) n) in n 0.261 * [taylor]: Taking taylor expansion of (log n) in n 0.261 * [taylor]: Taking taylor expansion of n in n 0.261 * [taylor]: Taking taylor expansion of n in n 0.264 * [approximate]: Taking taylor expansion of (- (+ (/ (log (+ 1.0 (/ 1 n))) n) (* 1.0 (log (+ 1.0 (/ 1 n))))) (+ (/ (log (/ 1 n)) n) 1.0)) in (n) around 0 0.264 * [taylor]: Taking taylor expansion of (- (+ (/ (log (+ 1.0 (/ 1 n))) n) (* 1.0 (log (+ 1.0 (/ 1 n))))) (+ (/ (log (/ 1 n)) n) 1.0)) in n 0.264 * [taylor]: Taking taylor expansion of (+ (/ (log (+ 1.0 (/ 1 n))) n) (* 1.0 (log (+ 1.0 (/ 1 n))))) in n 0.264 * [taylor]: Taking taylor expansion of (/ (log (+ 1.0 (/ 1 n))) n) in n 0.264 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 n))) in n 0.264 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 n)) in n 0.264 * [taylor]: Taking taylor expansion of 1.0 in n 0.264 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.264 * [taylor]: Taking taylor expansion of n in n 0.264 * [taylor]: Taking taylor expansion of n in n 0.264 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ 1.0 (/ 1 n)))) in n 0.264 * [taylor]: Taking taylor expansion of 1.0 in n 0.265 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 n))) in n 0.265 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 n)) in n 0.265 * [taylor]: Taking taylor expansion of 1.0 in n 0.265 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.265 * [taylor]: Taking taylor expansion of n in n 0.265 * [taylor]: Taking taylor expansion of (+ (/ (log (/ 1 n)) n) 1.0) in n 0.265 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 0.265 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 0.265 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.265 * [taylor]: Taking taylor expansion of n in n 0.265 * [taylor]: Taking taylor expansion of n in n 0.265 * [taylor]: Taking taylor expansion of 1.0 in n 0.265 * [taylor]: Taking taylor expansion of (- (+ (/ (log (+ 1.0 (/ 1 n))) n) (* 1.0 (log (+ 1.0 (/ 1 n))))) (+ (/ (log (/ 1 n)) n) 1.0)) in n 0.265 * [taylor]: Taking taylor expansion of (+ (/ (log (+ 1.0 (/ 1 n))) n) (* 1.0 (log (+ 1.0 (/ 1 n))))) in n 0.265 * [taylor]: Taking taylor expansion of (/ (log (+ 1.0 (/ 1 n))) n) in n 0.265 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 n))) in n 0.265 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 n)) in n 0.265 * [taylor]: Taking taylor expansion of 1.0 in n 0.265 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.265 * [taylor]: Taking taylor expansion of n in n 0.265 * [taylor]: Taking taylor expansion of n in n 0.265 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ 1.0 (/ 1 n)))) in n 0.265 * [taylor]: Taking taylor expansion of 1.0 in n 0.265 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 n))) in n 0.265 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 n)) in n 0.265 * [taylor]: Taking taylor expansion of 1.0 in n 0.265 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.265 * [taylor]: Taking taylor expansion of n in n 0.265 * [taylor]: Taking taylor expansion of (+ (/ (log (/ 1 n)) n) 1.0) in n 0.266 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 0.266 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 0.266 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.266 * [taylor]: Taking taylor expansion of n in n 0.266 * [taylor]: Taking taylor expansion of n in n 0.266 * [taylor]: Taking taylor expansion of 1.0 in n 0.269 * [approximate]: Taking taylor expansion of (- (+ (/ (log (/ -1 n)) n) (* 1.0 (log (- 1.0 (/ 1 n))))) (+ (/ (log (- 1.0 (/ 1 n))) n) 1.0)) in (n) around 0 0.269 * [taylor]: Taking taylor expansion of (- (+ (/ (log (/ -1 n)) n) (* 1.0 (log (- 1.0 (/ 1 n))))) (+ (/ (log (- 1.0 (/ 1 n))) n) 1.0)) in n 0.269 * [taylor]: Taking taylor expansion of (+ (/ (log (/ -1 n)) n) (* 1.0 (log (- 1.0 (/ 1 n))))) in n 0.269 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 0.270 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 0.270 * [taylor]: Taking taylor expansion of (/ -1 n) in n 0.270 * [taylor]: Taking taylor expansion of -1 in n 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [taylor]: Taking taylor expansion of (* 1.0 (log (- 1.0 (/ 1 n)))) in n 0.270 * [taylor]: Taking taylor expansion of 1.0 in n 0.270 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.270 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.270 * [taylor]: Taking taylor expansion of 1.0 in n 0.270 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [taylor]: Taking taylor expansion of (+ (/ (log (- 1.0 (/ 1 n))) n) 1.0) in n 0.270 * [taylor]: Taking taylor expansion of (/ (log (- 1.0 (/ 1 n))) n) in n 0.270 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.270 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.270 * [taylor]: Taking taylor expansion of 1.0 in n 0.270 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [taylor]: Taking taylor expansion of 1.0 in n 0.270 * [taylor]: Taking taylor expansion of (- (+ (/ (log (/ -1 n)) n) (* 1.0 (log (- 1.0 (/ 1 n))))) (+ (/ (log (- 1.0 (/ 1 n))) n) 1.0)) in n 0.270 * [taylor]: Taking taylor expansion of (+ (/ (log (/ -1 n)) n) (* 1.0 (log (- 1.0 (/ 1 n))))) in n 0.270 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 0.270 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 0.270 * [taylor]: Taking taylor expansion of (/ -1 n) in n 0.270 * [taylor]: Taking taylor expansion of -1 in n 0.270 * [taylor]: Taking taylor expansion of n in n 0.271 * [taylor]: Taking taylor expansion of n in n 0.271 * [taylor]: Taking taylor expansion of (* 1.0 (log (- 1.0 (/ 1 n)))) in n 0.271 * [taylor]: Taking taylor expansion of 1.0 in n 0.271 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.271 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.271 * [taylor]: Taking taylor expansion of 1.0 in n 0.271 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.271 * [taylor]: Taking taylor expansion of n in n 0.271 * [taylor]: Taking taylor expansion of (+ (/ (log (- 1.0 (/ 1 n))) n) 1.0) in n 0.271 * [taylor]: Taking taylor expansion of (/ (log (- 1.0 (/ 1 n))) n) in n 0.271 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.271 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.271 * [taylor]: Taking taylor expansion of 1.0 in n 0.271 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.271 * [taylor]: Taking taylor expansion of n in n 0.271 * [taylor]: Taking taylor expansion of n in n 0.271 * [taylor]: Taking taylor expansion of 1.0 in n 0.273 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.274 * [approximate]: Taking taylor expansion of (* (log (+ n 1.0)) (+ n 1.0)) in (n) around 0 0.274 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) (+ n 1.0)) in n 0.274 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.274 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.274 * [taylor]: Taking taylor expansion of n in n 0.274 * [taylor]: Taking taylor expansion of 1.0 in n 0.274 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.274 * [taylor]: Taking taylor expansion of n in n 0.274 * [taylor]: Taking taylor expansion of 1.0 in n 0.274 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) (+ n 1.0)) in n 0.274 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.274 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.274 * [taylor]: Taking taylor expansion of n in n 0.274 * [taylor]: Taking taylor expansion of 1.0 in n 0.274 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.274 * [taylor]: Taking taylor expansion of n in n 0.274 * [taylor]: Taking taylor expansion of 1.0 in n 0.275 * [approximate]: Taking taylor expansion of (* (+ 1.0 (/ 1 n)) (log (+ 1.0 (/ 1 n)))) in (n) around 0 0.275 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 n)) (log (+ 1.0 (/ 1 n)))) in n 0.275 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 n)) in n 0.275 * [taylor]: Taking taylor expansion of 1.0 in n 0.275 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.275 * [taylor]: Taking taylor expansion of n in n 0.275 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 n))) in n 0.275 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 n)) in n 0.275 * [taylor]: Taking taylor expansion of 1.0 in n 0.275 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.275 * [taylor]: Taking taylor expansion of n in n 0.275 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 n)) (log (+ 1.0 (/ 1 n)))) in n 0.275 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 n)) in n 0.275 * [taylor]: Taking taylor expansion of 1.0 in n 0.275 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.275 * [taylor]: Taking taylor expansion of n in n 0.275 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 n))) in n 0.275 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 n)) in n 0.275 * [taylor]: Taking taylor expansion of 1.0 in n 0.275 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.275 * [taylor]: Taking taylor expansion of n in n 0.277 * [approximate]: Taking taylor expansion of (* (log (- 1.0 (/ 1 n))) (- 1.0 (/ 1 n))) in (n) around 0 0.277 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (/ 1 n))) (- 1.0 (/ 1 n))) in n 0.277 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.277 * [taylor]: Taking taylor expansion of 1.0 in n 0.277 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.277 * [taylor]: Taking taylor expansion of n in n 0.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.277 * [taylor]: Taking taylor expansion of 1.0 in n 0.277 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.277 * [taylor]: Taking taylor expansion of n in n 0.277 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (/ 1 n))) (- 1.0 (/ 1 n))) in n 0.277 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.277 * [taylor]: Taking taylor expansion of 1.0 in n 0.277 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.277 * [taylor]: Taking taylor expansion of n in n 0.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.277 * [taylor]: Taking taylor expansion of 1.0 in n 0.277 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.277 * [taylor]: Taking taylor expansion of n in n 0.279 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.279 * [approximate]: Taking taylor expansion of (* (log n) n) in (n) around 0 0.279 * [taylor]: Taking taylor expansion of (* (log n) n) in n 0.279 * [taylor]: Taking taylor expansion of (log n) in n 0.279 * [taylor]: Taking taylor expansion of n in n 0.279 * [taylor]: Taking taylor expansion of n in n 0.279 * [taylor]: Taking taylor expansion of (* (log n) n) in n 0.279 * [taylor]: Taking taylor expansion of (log n) in n 0.279 * [taylor]: Taking taylor expansion of n in n 0.279 * [taylor]: Taking taylor expansion of n in n 0.285 * [approximate]: Taking taylor expansion of (/ (log (/ 1 n)) n) in (n) around 0 0.285 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 0.285 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 0.285 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.286 * [taylor]: Taking taylor expansion of n in n 0.286 * [taylor]: Taking taylor expansion of n in n 0.286 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 0.286 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 0.286 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.286 * [taylor]: Taking taylor expansion of n in n 0.286 * [taylor]: Taking taylor expansion of n in n 0.290 * [approximate]: Taking taylor expansion of (* -1 (/ (log (/ -1 n)) n)) in (n) around 0 0.290 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 n)) n)) in n 0.290 * [taylor]: Taking taylor expansion of -1 in n 0.290 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 0.290 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 0.290 * [taylor]: Taking taylor expansion of (/ -1 n) in n 0.290 * [taylor]: Taking taylor expansion of -1 in n 0.290 * [taylor]: Taking taylor expansion of n in n 0.291 * [taylor]: Taking taylor expansion of n in n 0.291 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 n)) n)) in n 0.291 * [taylor]: Taking taylor expansion of -1 in n 0.291 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 0.291 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 0.291 * [taylor]: Taking taylor expansion of (/ -1 n) in n 0.291 * [taylor]: Taking taylor expansion of -1 in n 0.291 * [taylor]: Taking taylor expansion of n in n 0.291 * [taylor]: Taking taylor expansion of n in n 0.299 * * * [progress]: simplifying candidates 0.300 * [simplify]: Simplifying using # : (/ (exp (* (+ n 1.0) (log (+ n 1.0)))) (* (exp 1.0) (exp (* n (log n))))) (/ (exp (* (+ n 1.0) (log (+ n 1.0)))) (exp (+ 1.0 (* n (log n))))) (log (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n))))) (exp (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n))))) (* (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n))))) (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n)))))) (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n))))) (* (* (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n)))) (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n))))) (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n))))) (sqrt (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n))))) (sqrt (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n))))) (- (* (* (+ (pow n 3) (pow 1.0 3)) (log (+ n 1.0))) (+ (* 1.0 1.0) (- (* (* n (log n)) (* n (log n))) (* 1.0 (* n (log n)))))) (* (+ (* n n) (- (* 1.0 1.0) (* n 1.0))) (+ (pow 1.0 3) (pow (* n (log n)) 3)))) (* (+ (* n n) (- (* 1.0 1.0) (* n 1.0))) (+ (* 1.0 1.0) (- (* (* n (log n)) (* n (log n))) (* 1.0 (* n (log n)))))) (- (* (* (+ (pow n 3) (pow 1.0 3)) (log (+ n 1.0))) (- 1.0 (* n (log n)))) (* (+ (* n n) (- (* 1.0 1.0) (* n 1.0))) (- (* 1.0 1.0) (* (* n (log n)) (* n (log n)))))) (* (+ (* n n) (- (* 1.0 1.0) (* n 1.0))) (- 1.0 (* n (log n)))) (- (* (* (- (* n n) (* 1.0 1.0)) (log (+ n 1.0))) (+ (* 1.0 1.0) (- (* (* n (log n)) (* n (log n))) (* 1.0 (* n (log n)))))) (* (- n 1.0) (+ (pow 1.0 3) (pow (* n (log n)) 3)))) (* (- n 1.0) (+ (* 1.0 1.0) (- (* (* n (log n)) (* n (log n))) (* 1.0 (* n (log n)))))) (- (* (* (- (* n n) (* 1.0 1.0)) (log (+ n 1.0))) (- 1.0 (* n (log n)))) (* (- n 1.0) (- (* 1.0 1.0) (* (* n (log n)) (* n (log n)))))) (* (- n 1.0) (- 1.0 (* n (log n)))) (- (pow (* (+ n 1.0) (log (+ n 1.0))) 3) (pow (+ 1.0 (* n (log n))) 3)) (+ (* (* (+ n 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0)))) (+ (* (+ 1.0 (* n (log n))) (+ 1.0 (* n (log n)))) (* (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n)))))) (neg (+ 1.0 (* n (log n)))) (- (* (* (+ n 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0)))) (* (+ 1.0 (* n (log n))) (+ 1.0 (* n (log n))))) (+ (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n)))) (- (* (+ n 1.0) (log (+ n 1.0))) 1.0) (- (* (+ n 1.0) (log (cbrt (+ n 1.0)))) (+ 1.0 (* n (log n)))) (- (* (+ n 1.0) (log (sqrt (+ n 1.0)))) (+ 1.0 (* n (log n)))) (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n)))) (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n)))) (- (* (log (cbrt (+ n 1.0))) (+ n 1.0)) (+ 1.0 (* n (log n)))) (- (* (log (sqrt (+ n 1.0))) (+ n 1.0)) (+ 1.0 (* n (log n)))) (- (* (log (+ n 1.0)) (+ n 1.0)) (+ 1.0 (* n (log n)))) (- (* (log (+ n 1.0)) (+ n 1.0)) (+ 1.0 (* n (log n)))) (neg (+ 1.0 (* 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))) (* 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)) (- (+ (* 1.0 (log 1.0)) (+ (* 1.0 (pow n 2)) (+ (* (log 1.0) n) (* 1.0 n)))) (+ (* 0.5 (/ (pow n 2) (pow 1.0 2))) (+ (* (log n) n) (+ (* (log 1) n) 1.0)))) (- (+ (* 1.0 (log 1)) (* 0.5 (/ 1 n))) (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (- (+ (* (log (neg 1)) n) (+ (* 1.0 (log (neg 1))) (* 0.5 (/ 1 n)))) (+ (* n (log -1)) (* 1.0 (log (/ -1 n))))) (- (+ (* 1.0 (log 1.0)) (+ (* 1.0 (pow n 2)) (+ (* (log 1.0) n) (* 1.0 n)))) (* 0.5 (/ (pow n 2) (pow 1.0 2)))) (- (+ 1.0 (+ (* (log 1) n) (+ (* 1.0 (log 1)) (* 0.5 (/ 1 n))))) (+ (* 1.0 (log (/ 1 n))) (* (log (/ 1 n)) n))) (- (+ 1.0 (+ (* (log (neg 1)) n) (+ (* 1.0 (log (neg 1))) (* 0.5 (/ 1 n))))) (+ (* 1.0 (log (/ -1 n))) (* n (log (/ -1 n))))) (* (+ (log n) (log 1)) n) (* (- (log 1) (log (/ 1 n))) n) (* n (- (log -1) (log (/ -1 n)))) 0.331 * * [simplify]: iteration 0 : 4984 enodes (cost 1271 ) 0.331 * * [simplify]: iteration 1 : 4984 enodes (cost 1271 ) 0.336 * [simplify]: Simplified to: (/ (pow (+ n 1.0) (+ n 1.0)) (* (exp 1.0) (pow n n))) (/ (pow (+ n 1.0) (+ n 1.0)) (* (exp 1.0) (pow n n))) (log (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n))))) (/ (pow (+ n 1.0) (+ n 1.0)) (* (exp 1.0) (pow n n))) (* (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n))))) (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n)))))) (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n))))) (pow (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n)))) 3) (sqrt (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n))))) (sqrt (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n))))) (- (* (log (+ n 1.0)) (* (+ (pow n 3) (pow 1.0 3)) (+ (* 1.0 1.0) (* n (* (log n) (- (* n (log n)) 1.0)))))) (* (+ (* 1.0 1.0) (* n (- n 1.0))) (+ (pow 1.0 3) (pow (* n (log n)) 3)))) (* (+ (* 1.0 1.0) (* n (* (log n) (- (* n (log n)) 1.0)))) (+ (* 1.0 1.0) (* n (- n 1.0)))) (* (- 1.0 (* n (log n))) (- (* (log (+ n 1.0)) (+ (pow n 3) (pow 1.0 3))) (* (+ (* 1.0 1.0) (* n (- n 1.0))) (+ 1.0 (* n (log n)))))) (* (+ (* 1.0 1.0) (* n (- n 1.0))) (- 1.0 (* n (log n)))) (- (* (+ n 1.0) (* (- n 1.0) (* (log (+ n 1.0)) (+ (* 1.0 1.0) (* n (* (log n) (- (* n (log n)) 1.0))))))) (* (+ (pow 1.0 3) (pow (* n (log n)) 3)) (- n 1.0))) (* (+ (* 1.0 1.0) (* n (* (log n) (- (* n (log n)) 1.0)))) (- n 1.0)) (* (- 1.0 (* n (log n))) (- (* (+ n 1.0) (* (- n 1.0) (log (+ n 1.0)))) (* (- n 1.0) (+ 1.0 (* n (log n)))))) (* (- 1.0 (* n (log n))) (- n 1.0)) (- (pow (* (+ n 1.0) (log (+ n 1.0))) 3) (pow (+ 1.0 (* n (log n))) 3)) (+ (* (+ 1.0 (* n (log n))) (+ 1.0 (* n (log n)))) (* (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (+ (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))))) (- (neg 1.0) (* n (log n))) (- (* (+ n 1.0) (* (log (+ n 1.0)) (* (+ n 1.0) (log (+ n 1.0))))) (* (+ 1.0 (* n (log n))) (+ 1.0 (* n (log n))))) (+ 1.0 (+ (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (- (* (+ n 1.0) (log (+ n 1.0))) 1.0) (- (* (+ n 1.0) (log (cbrt (+ n 1.0)))) (+ 1.0 (* n (log n)))) (- (* (+ n 1.0) (log (sqrt (+ n 1.0)))) (+ 1.0 (* n (log n)))) (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n)))) (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n)))) (- (* (+ n 1.0) (log (cbrt (+ n 1.0)))) (+ 1.0 (* n (log n)))) (- (* (+ n 1.0) (log (sqrt (+ n 1.0)))) (+ 1.0 (* n (log n)))) (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n)))) (- (* (+ n 1.0) (log (+ n 1.0))) (+ 1.0 (* n (log n)))) (- (neg 1.0) (* n (log n))) (* (+ n 1.0) (log (+ 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))))) (* (+ 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) (* 2 (log (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) (* (cbrt (log (+ n 1.0))) (cbrt (log (+ n 1.0))))) (* (+ n 1.0) (sqrt (log (+ n 1.0)))) (+ n 1.0) (* (log (+ n 1.0)) (cbrt (+ n 1.0))) (* (log (+ n 1.0)) (sqrt (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0))) (* (log (+ n 1.0)) (+ (pow n 3) (pow 1.0 3))) (* (+ n 1.0) (* (- n 1.0) (log (+ n 1.0)))) (* 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))) (* n (log 1)) (* n (log n)) (* n (* 2 (log (cbrt n)))) (* n (log (cbrt n))) (* n (log (sqrt n))) (* n (log (sqrt n))) (* n (log 1)) (* n (log n)) n (* n (* (cbrt (log n)) (cbrt (log n)))) (* n (sqrt (log n))) n (* (log n) (cbrt n)) (* (log n) (sqrt n)) (* n (log n)) (+ (* 1.0 (log 1.0)) (- (* n (+ (* n 1.0) (+ 1.0 (log 1.0)))) (+ 1.0 (+ (* n (log n)) (* 0.5 (* (/ n 1.0) (/ n 1.0))))))) (+ (/ 0.5 n) (- (* 1.0 (log n)) (/ 0.16666666666666669 (* n n)))) (+ (/ 0.5 n) (+ (* 1.0 (log -1)) (- 0 (* 1.0 (log (/ -1 n)))))) (+ (* 1.0 (log 1.0)) (- (* n (+ (* n 1.0) (+ 1.0 (log 1.0)))) (* 0.5 (* (/ n 1.0) (/ n 1.0))))) (+ 1.0 (+ (* (+ n 1.0) (log 1)) (+ (/ 0.5 n) (* (log n) (+ n 1.0))))) (+ 1.0 (+ (/ 0.5 n) (- (* (log -1) (+ n 1.0)) (* (+ n 1.0) (log (/ -1 n)))))) (* n (log n)) (* n (log n)) (* n (log n)) 0.336 * * * [progress]: adding candidates to table 0.480 * * [progress]: iteration 2 / 4 0.480 * * * [progress]: picking best candidate 0.483 * * * * [pick]: Picked # 0.483 * * * [progress]: localizing error 0.492 * * * [progress]: generating rewritten candidates 0.492 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 2) 0.498 * * * [progress]: generating series expansions 0.498 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 2) 0.498 * [approximate]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in (n) around 0 0.498 * [taylor]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in n 0.498 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 0.498 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.498 * [taylor]: Taking taylor expansion of n in n 0.498 * [taylor]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in n 0.498 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 0.498 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.498 * [taylor]: Taking taylor expansion of n in n 0.499 * [approximate]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in (n) around 0 0.499 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 0.499 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 0.499 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.499 * [taylor]: Taking taylor expansion of n in n 0.499 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 0.499 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 0.500 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.500 * [taylor]: Taking taylor expansion of n in n 0.500 * [approximate]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in (n) around 0 0.500 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 0.500 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 0.500 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.500 * [taylor]: Taking taylor expansion of n in n 0.500 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 0.500 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 0.500 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.500 * [taylor]: Taking taylor expansion of n in n 0.501 * * * [progress]: simplifying candidates 0.502 * [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))) (neg 0.16666666666666669) (neg (* 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)) 0.559 * * [simplify]: iteration 0 : 4625 enodes (cost 152 ) 0.560 * * [simplify]: iteration 1 : 4625 enodes (cost 152 ) 0.561 * [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 3) (pow n 6)) (/ (pow 0.16666666666666669 3) (pow n 6)) (* (cbrt (/ 0.16666666666666669 (* n n))) (cbrt (/ 0.16666666666666669 (* n n)))) (cbrt (/ 0.16666666666666669 (* n n))) (/ (pow 0.16666666666666669 3) (pow n 6)) (sqrt (/ 0.16666666666666669 (* n n))) (sqrt (/ 0.16666666666666669 (* n n))) (neg 0.16666666666666669) (* n (neg 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 (* n n)) (/ 0.16666666666666669 (* n n)) (/ 0.16666666666666669 (* n n)) 0.561 * * * [progress]: adding candidates to table 0.587 * [progress]: [Phase 3 of 3] Extracting. 0.590 * [simplify]: Simplifying using # : (+ (/ 0.5 n) (- (* 1.0 (log n)) (/ 0.16666666666666669 (* n n)))) 0.590 * * [simplify]: iteration 0 : 13 enodes (cost 14 ) 0.590 * * [simplify]: iteration 1 : 13 enodes (cost 14 ) 0.590 * [simplify]: Simplified to: (+ (/ 0.5 n) (- (* 1.0 (log n)) (/ 0.16666666666666669 (* n n)))) 3.314 * [regime-testing]: End program error score: 0.00012501562695336918 3.401 * [regime-testing]: Target error score: 0.00012501562695336918