5.144 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.054 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.055 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.056 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.057 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.057 * * [progress]: iteration 1 / 4 0.057 * * * [progress]: picking best candidate 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.066 * * * [progress]: generating rewritten candidates 0.066 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.069 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.077 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.077 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.077 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [taylor]: Taking taylor expansion of 1.0 in N 0.078 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.078 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [taylor]: Taking taylor expansion of 1.0 in N 0.090 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.090 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.090 * [taylor]: Taking taylor expansion of N in N 0.091 * [taylor]: Taking taylor expansion of 1.0 in N 0.091 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.091 * [taylor]: Taking taylor expansion of N in N 0.092 * [taylor]: Taking taylor expansion of 1.0 in N 0.104 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.104 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.104 * [taylor]: Taking taylor expansion of 1.0 in N 0.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.104 * [taylor]: Taking taylor expansion of N in N 0.105 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.105 * [taylor]: Taking taylor expansion of 1.0 in N 0.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.125 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.125 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.125 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.125 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.125 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.125 * [taylor]: Taking taylor expansion of 1.0 in N 0.125 * [taylor]: Taking taylor expansion of (log N) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.126 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.126 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.126 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.126 * [taylor]: Taking taylor expansion of 1.0 in N 0.126 * [taylor]: Taking taylor expansion of (log N) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.144 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.144 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.144 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.144 * [taylor]: Taking taylor expansion of 1.0 in N 0.145 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.145 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [taylor]: Taking taylor expansion of 1.0 in N 0.146 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.176 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.176 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.176 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.176 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.176 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.177 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.177 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.177 * [taylor]: Taking taylor expansion of -1 in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.178 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.178 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.178 * [taylor]: Taking taylor expansion of -1 in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.218 * * * [progress]: simplifying candidates 0.219 * [simplify]: Simplifying using # : (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.222 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.226 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.234 * * [simplify]: iteration 2 : 1874 enodes (cost 250 ) 0.268 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.270 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) 0.271 * * * [progress]: adding candidates to table 0.362 * * [progress]: iteration 2 / 4 0.362 * * * [progress]: picking best candidate 0.370 * * * * [pick]: Picked # 0.370 * * * [progress]: localizing error 0.374 * * * [progress]: generating rewritten candidates 0.374 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.378 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.389 * * * [progress]: generating series expansions 0.389 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.389 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.389 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.389 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.389 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.389 * [taylor]: Taking taylor expansion of N in N 0.389 * [taylor]: Taking taylor expansion of 1.0 in N 0.390 * [taylor]: Taking taylor expansion of N in N 0.391 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.391 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.391 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.391 * [taylor]: Taking taylor expansion of N in N 0.391 * [taylor]: Taking taylor expansion of 1.0 in N 0.391 * [taylor]: Taking taylor expansion of N in N 0.404 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.404 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.404 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.404 * [taylor]: Taking taylor expansion of N in N 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.404 * [taylor]: Taking taylor expansion of N in N 0.404 * [taylor]: Taking taylor expansion of 1.0 in N 0.406 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.406 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.406 * [taylor]: Taking taylor expansion of N in N 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 1.0 in N 0.432 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.432 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.432 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.432 * [taylor]: Taking taylor expansion of -1 in N 0.432 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.432 * [taylor]: Taking taylor expansion of N in N 0.432 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.432 * [taylor]: Taking taylor expansion of 1.0 in N 0.432 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.432 * [taylor]: Taking taylor expansion of N in N 0.435 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.435 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.435 * [taylor]: Taking taylor expansion of -1 in N 0.435 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.435 * [taylor]: Taking taylor expansion of N in N 0.435 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.435 * [taylor]: Taking taylor expansion of 1.0 in N 0.435 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.435 * [taylor]: Taking taylor expansion of N in N 0.474 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.474 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.474 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.474 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [taylor]: Taking taylor expansion of 1.0 in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.475 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.475 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.475 * [taylor]: Taking taylor expansion of N in N 0.475 * [taylor]: Taking taylor expansion of 1.0 in N 0.475 * [taylor]: Taking taylor expansion of N in N 0.481 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.482 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.482 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.482 * [taylor]: Taking taylor expansion of 1.0 in N 0.482 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.482 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.482 * [taylor]: Taking taylor expansion of 1.0 in N 0.495 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.495 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.496 * [taylor]: Taking taylor expansion of -1 in N 0.496 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.496 * [taylor]: Taking taylor expansion of 1.0 in N 0.496 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.496 * [taylor]: Taking taylor expansion of -1 in N 0.496 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.496 * [taylor]: Taking taylor expansion of 1.0 in N 0.496 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.519 * * * [progress]: simplifying candidates 0.520 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.524 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.528 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.543 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.618 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.620 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.621 * * * [progress]: adding candidates to table 0.709 * * [progress]: iteration 3 / 4 0.709 * * * [progress]: picking best candidate 0.716 * * * * [pick]: Picked # 0.716 * * * [progress]: localizing error 0.733 * * * [progress]: generating rewritten candidates 0.733 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 0.737 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.740 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.743 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.759 * * * [progress]: generating series expansions 0.759 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 0.759 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.759 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.759 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.759 * [taylor]: Taking taylor expansion of N in N 0.759 * [taylor]: Taking taylor expansion of 1.0 in N 0.760 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.760 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.760 * [taylor]: Taking taylor expansion of N in N 0.760 * [taylor]: Taking taylor expansion of 1.0 in N 0.772 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.772 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.772 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.772 * [taylor]: Taking taylor expansion of N in N 0.772 * [taylor]: Taking taylor expansion of 1.0 in N 0.773 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.773 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.773 * [taylor]: Taking taylor expansion of N in N 0.773 * [taylor]: Taking taylor expansion of 1.0 in N 0.790 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.790 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.790 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.790 * [taylor]: Taking taylor expansion of 1.0 in N 0.790 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.790 * [taylor]: Taking taylor expansion of N in N 0.791 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.791 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.791 * [taylor]: Taking taylor expansion of 1.0 in N 0.791 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.791 * [taylor]: Taking taylor expansion of N in N 0.805 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.805 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.805 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.805 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.805 * [taylor]: Taking taylor expansion of N in N 0.805 * [taylor]: Taking taylor expansion of 1.0 in N 0.806 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.806 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.806 * [taylor]: Taking taylor expansion of N in N 0.806 * [taylor]: Taking taylor expansion of 1.0 in N 0.817 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.817 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.817 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.817 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.817 * [taylor]: Taking taylor expansion of N in N 0.818 * [taylor]: Taking taylor expansion of 1.0 in N 0.818 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.818 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.818 * [taylor]: Taking taylor expansion of N in N 0.819 * [taylor]: Taking taylor expansion of 1.0 in N 0.831 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.831 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.831 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.831 * [taylor]: Taking taylor expansion of 1.0 in N 0.831 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.831 * [taylor]: Taking taylor expansion of N in N 0.832 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.832 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.832 * [taylor]: Taking taylor expansion of 1.0 in N 0.832 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.832 * [taylor]: Taking taylor expansion of N in N 0.846 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.846 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.846 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.846 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.846 * [taylor]: Taking taylor expansion of N in N 0.846 * [taylor]: Taking taylor expansion of 1.0 in N 0.846 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.846 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.846 * [taylor]: Taking taylor expansion of N in N 0.846 * [taylor]: Taking taylor expansion of 1.0 in N 0.857 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.858 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.858 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.858 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.858 * [taylor]: Taking taylor expansion of N in N 0.858 * [taylor]: Taking taylor expansion of 1.0 in N 0.858 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.858 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.858 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.858 * [taylor]: Taking taylor expansion of N in N 0.859 * [taylor]: Taking taylor expansion of 1.0 in N 0.877 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.877 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.878 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.878 * [taylor]: Taking taylor expansion of 1.0 in N 0.878 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.878 * [taylor]: Taking taylor expansion of N in N 0.879 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.879 * [taylor]: Taking taylor expansion of 1.0 in N 0.879 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.879 * [taylor]: Taking taylor expansion of N in N 0.892 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.893 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in (N) around 0 0.893 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 0.893 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 0.893 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.893 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.893 * [taylor]: Taking taylor expansion of N in N 0.893 * [taylor]: Taking taylor expansion of 1.0 in N 0.893 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 0.893 * [taylor]: Taking taylor expansion of (log N) in N 0.893 * [taylor]: Taking taylor expansion of N in N 0.894 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 0.894 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 0.894 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.894 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.894 * [taylor]: Taking taylor expansion of N in N 0.894 * [taylor]: Taking taylor expansion of 1.0 in N 0.894 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 0.894 * [taylor]: Taking taylor expansion of (log N) in N 0.894 * [taylor]: Taking taylor expansion of N in N 0.944 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 0.944 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 0.944 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 0.944 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.945 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.945 * [taylor]: Taking taylor expansion of N in N 0.945 * [taylor]: Taking taylor expansion of 1.0 in N 0.946 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 0.946 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.946 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.946 * [taylor]: Taking taylor expansion of N in N 0.946 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 0.946 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 0.946 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.946 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.946 * [taylor]: Taking taylor expansion of N in N 0.947 * [taylor]: Taking taylor expansion of 1.0 in N 0.948 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 0.948 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.948 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.948 * [taylor]: Taking taylor expansion of N in N 0.994 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in (N) around 0 0.994 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 0.995 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 0.995 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.995 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.995 * [taylor]: Taking taylor expansion of 1.0 in N 0.995 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.995 * [taylor]: Taking taylor expansion of N in N 0.996 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 0.996 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.996 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.996 * [taylor]: Taking taylor expansion of -1 in N 0.996 * [taylor]: Taking taylor expansion of N in N 0.997 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 0.997 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 0.997 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.997 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.997 * [taylor]: Taking taylor expansion of 1.0 in N 0.997 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.997 * [taylor]: Taking taylor expansion of N in N 0.999 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 0.999 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.999 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.999 * [taylor]: Taking taylor expansion of -1 in N 0.999 * [taylor]: Taking taylor expansion of N in N 1.082 * * * [progress]: simplifying candidates 1.084 * [simplify]: Simplifying using # : (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (exp (pow (log (+ N 1.0)) 3)) (exp (pow (log N) 3))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (* (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log (+ N 1.0)) (log N)) (- (pow (pow (log (+ N 1.0)) 3) 3) (pow (pow (log N) 3) 3)) (+ (* (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 3)) (+ (* (pow (log N) 3) (pow (log N) 3)) (* (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (- (pow (log N) 3)) (- (* (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 3)) (* (pow (log N) 3) (pow (log N) 3))) (+ (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) (/ 3 2))) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) (/ 3 2))) (+ (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) (/ 3 2)) (sqrt (pow (log N) 3))) (- (pow (log (+ N 1.0)) (/ 3 2)) (sqrt (pow (log N) 3))) (+ (pow (log (+ N 1.0)) (/ 3 2)) (pow (log N) (/ 3 2))) (- (pow (log (+ N 1.0)) (/ 3 2)) (pow (log N) (/ 3 2))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log N) 3)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 3.0 (* (pow N 2) (log 1.0))) (+ (* 3.0 (* N (pow (log 1.0) 2))) (pow (log 1.0) 3))) (+ (* 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2))) (pow (log N) 3))) (- (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1.0 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (* 3.0 (/ (log (/ 1 N)) (pow N 3)))))) (+ (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ 1 N)) (pow N 2))))) (- (+ (* 3.0 (/ (pow (log -1) 2) N)) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 3))) (+ (* 1.0 (/ (pow (log -1) 2) (pow N 3))) (+ (* 3.0 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (* (log -1) (log (/ -1 N))) (pow N 2))) (+ (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))) (* 3.0 (/ (log -1) (pow N 2)))))))))) (+ (* 2.0 (/ (* (log -1) (log (/ -1 N))) (pow N 3))) (+ (* 1.5 (/ (pow (log -1) 2) (pow N 2))) (+ (* 3.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ -1 N)) (pow N 2))))))))) 1.090 * * [simplify]: iteration 0 : 480 enodes (cost 888 ) 1.099 * * [simplify]: iteration 1 : 1809 enodes (cost 857 ) 1.127 * * [simplify]: iteration 2 : 5001 enodes (cost 844 ) 1.133 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (pow (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) 3) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (+ (* (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N))) (pow (log (/ 1 N)) 2)) (- (log (+ N 1.0)) (log N)) (- (pow (pow (log (+ N 1.0)) 3) 3) (pow (pow (log N) 3) 3)) (+ (+ (pow (log (+ N 1.0)) 6) (pow (log N) 6)) (* (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (- (pow (log N) 3)) (+ (pow (log (+ N 1.0)) 6) (- (pow (log N) 6))) (+ (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) 3/2)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) 3/2)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) 3/2)) (+ (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) 3/2) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) 3/2) (sqrt (pow (log N) 3))) (- (pow (log (+ N 1.0)) 3/2) (sqrt (pow (log N) 3))) (+ (pow (log (+ N 1.0)) 3/2) (pow (log N) 3/2)) (- (pow (log (+ N 1.0)) 3/2) (pow (log N) 3/2)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log N) 3)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (+ (+ (/ 1.0 N) (log N)) (/ (- 0.5) (pow N 2))) (+ (- (log -1) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (/ 1.0 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (+ (+ (/ 1.0 N) (log N)) (/ (- 0.5) (pow N 2))) (+ (- (log -1) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (/ 1.0 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (+ (+ (/ 1.0 N) (log N)) (/ (- 0.5) (pow N 2))) (+ (- (log -1) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (/ 1.0 N)) (+ (* 3.0 (+ (* (pow N 2) (log 1.0)) (* N (pow (log 1.0) 2)))) (- (pow (log 1.0) 3) (+ (* 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2))) (pow (log N) 3)))) (+ (* (/ (pow (log (/ 1 N)) 2) N) (+ (/ 1.0 (pow N 2)) 3.0)) (+ (- (* 3.0 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ 1 N)) (pow N 2))))) (/ 1.0 (pow N 3)))) (+ (+ (- (+ (* 2.0 (/ (* (log -1) (log (/ -1 N))) (pow N 3))) (+ (* 1.5 (/ (pow (log -1) 2) (pow N 2))) (+ (* 3.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ -1 N)) (pow N 2))))))))) (+ (* 3.0 (+ (/ (pow (log -1) 2) N) (/ (log (/ -1 N)) (pow N 3)))) (+ (* 1.0 (/ (pow (log -1) 2) (pow N 3))) (* 3.0 (/ (pow (log (/ -1 N)) 2) N))))) (+ (+ (/ 1.0 (pow N 3)) (* (/ 3.0 N) (+ (/ (* (log -1) (log (/ -1 N))) N) (/ (log -1) N)))) (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))))) 1.133 * * * [progress]: adding candidates to table 1.394 * * [progress]: iteration 4 / 4 1.394 * * * [progress]: picking best candidate 1.408 * * * * [pick]: Picked # 1.408 * * * [progress]: localizing error 1.439 * * * [progress]: generating rewritten candidates 1.439 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 1.442 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.445 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1 1) 1.448 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1) 1.456 * * * [progress]: generating series expansions 1.456 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 1.456 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.456 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.457 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.457 * [taylor]: Taking taylor expansion of N in N 1.457 * [taylor]: Taking taylor expansion of 1.0 in N 1.457 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.457 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.457 * [taylor]: Taking taylor expansion of N in N 1.457 * [taylor]: Taking taylor expansion of 1.0 in N 1.469 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.469 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.469 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.469 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.469 * [taylor]: Taking taylor expansion of N in N 1.470 * [taylor]: Taking taylor expansion of 1.0 in N 1.470 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.470 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.470 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.470 * [taylor]: Taking taylor expansion of N in N 1.470 * [taylor]: Taking taylor expansion of 1.0 in N 1.482 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.482 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.482 * [taylor]: Taking taylor expansion of 1.0 in N 1.482 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.482 * [taylor]: Taking taylor expansion of N in N 1.483 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.483 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.483 * [taylor]: Taking taylor expansion of 1.0 in N 1.483 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.483 * [taylor]: Taking taylor expansion of N in N 1.496 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.497 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.497 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.497 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.497 * [taylor]: Taking taylor expansion of N in N 1.497 * [taylor]: Taking taylor expansion of 1.0 in N 1.497 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.497 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.497 * [taylor]: Taking taylor expansion of N in N 1.497 * [taylor]: Taking taylor expansion of 1.0 in N 1.509 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.509 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.509 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.509 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.509 * [taylor]: Taking taylor expansion of N in N 1.509 * [taylor]: Taking taylor expansion of 1.0 in N 1.509 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.509 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.509 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.510 * [taylor]: Taking taylor expansion of N in N 1.510 * [taylor]: Taking taylor expansion of 1.0 in N 1.522 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.522 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.522 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.522 * [taylor]: Taking taylor expansion of 1.0 in N 1.522 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.522 * [taylor]: Taking taylor expansion of N in N 1.523 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.523 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.523 * [taylor]: Taking taylor expansion of 1.0 in N 1.523 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.523 * [taylor]: Taking taylor expansion of N in N 1.542 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1 1) 1.542 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.542 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.542 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.542 * [taylor]: Taking taylor expansion of N in N 1.542 * [taylor]: Taking taylor expansion of 1.0 in N 1.543 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.543 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.543 * [taylor]: Taking taylor expansion of N in N 1.543 * [taylor]: Taking taylor expansion of 1.0 in N 1.554 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.554 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.554 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.554 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.554 * [taylor]: Taking taylor expansion of N in N 1.555 * [taylor]: Taking taylor expansion of 1.0 in N 1.555 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.555 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.555 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.555 * [taylor]: Taking taylor expansion of N in N 1.555 * [taylor]: Taking taylor expansion of 1.0 in N 1.567 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.567 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.567 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.567 * [taylor]: Taking taylor expansion of 1.0 in N 1.567 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.567 * [taylor]: Taking taylor expansion of N in N 1.568 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.568 * [taylor]: Taking taylor expansion of 1.0 in N 1.568 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.568 * [taylor]: Taking taylor expansion of N in N 1.582 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1) 1.582 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.582 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.582 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.582 * [taylor]: Taking taylor expansion of N in N 1.582 * [taylor]: Taking taylor expansion of 1.0 in N 1.582 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.583 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.583 * [taylor]: Taking taylor expansion of N in N 1.583 * [taylor]: Taking taylor expansion of 1.0 in N 1.594 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.594 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.594 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.594 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.594 * [taylor]: Taking taylor expansion of N in N 1.594 * [taylor]: Taking taylor expansion of 1.0 in N 1.595 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.595 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.595 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.595 * [taylor]: Taking taylor expansion of N in N 1.595 * [taylor]: Taking taylor expansion of 1.0 in N 1.607 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.607 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.607 * [taylor]: Taking taylor expansion of 1.0 in N 1.607 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.607 * [taylor]: Taking taylor expansion of N in N 1.608 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.608 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.608 * [taylor]: Taking taylor expansion of 1.0 in N 1.608 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.608 * [taylor]: Taking taylor expansion of N in N 1.628 * * * [progress]: simplifying candidates 1.629 * [simplify]: Simplifying using # : (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 1.633 * * [simplify]: iteration 0 : 122 enodes (cost 380 ) 1.635 * * [simplify]: iteration 1 : 331 enodes (cost 340 ) 1.641 * * [simplify]: iteration 2 : 1170 enodes (cost 324 ) 1.667 * * [simplify]: iteration 3 : 5002 enodes (cost 312 ) 1.670 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) 1.670 * * * [progress]: adding candidates to table 1.972 * [progress]: [Phase 3 of 3] Extracting. 1.972 * * [regime]: Finding splitpoints for: (# # # # #) 1.976 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.976 * * * * [regimes]: Trying to branch on N from (# # # # #) 2.009 * * * [regime]: Found split indices: #